北京市2014年高考数学（理科）考试说明

letters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\数 学

Ⅰ．试卷结构

全卷包括两部分：一、选择题，二、非选择题．

全卷20题，分为选择题、填空题和解答题三种题型．选择题是四选一型的单项选择题；填空题只要求直接填写结果，不要求写出计算过程或证明过程；解答题包括计算题、证明题、应用题等，要求写出文字说明、演算步骤或证明过程．三种题型的题目个数分别为8、6、6；分值分别为40、30、80．

试卷由容易题、中等难度题和难题组成，并以中等难度题为主，总体难度适当．

Ⅱ．考试内容及要求

一、考核目标与要求

数学科高考注重考查中学数学的基础知识、基本技能、基本思想方法，考查空间想象能力、抽象概括能力、推理论证能力、运算求解能力、数据处理能力以及分析问题和解决问题的能力．

根据普通高等学校对新生文化素质的要求，依据教育部2003年颁布的《普通高中课程方案(实验)》和《普通高中数学课程标准(实验)》，以及《北京市普通高中新课程数学学科教学指导意见和模块学习要求(试行)》，确定必修课程、选修课程系列2和系列4中的4—1，4－4的内容为理工类高考数学科的考试内容．

关于考试内容的知识要求和能力要求的说明如下： 1．知识要求

对知识的要求由低到高分为了解、理解、掌握、灵活和综合运用四个层次，分别用A，B，C，D表示，且高一级的层次要求包含低一级的层次要求．了解、理解、掌握是对知识的基本要求(详见考试范围与要求层次)，灵活和综合运用不对应具体的考试内容．

(1)了解(A)：对所列知识内容有初步的认识，会在有关的问题中进行识别和直接应用． (2)理解(B)：对所列知识内容有理性的认识，能够解释、举例或变形、推断，并能利用所列的知识解决简单问题．

(3)掌握(c)：对所列知识内容有较深刻的理性认识，形成技能，并能利用所列知识解决有关问题．

(4)灵活和综合运用(D)：系统地把握知识的内在联系，并能运用相关知识分析、解决比较综合的问题． 2．能力要求

能力是指空间想象能力、抽象概括能力、推理论证能力、运算求解能力、数据处理能力以及分析问题和解决问题的能力．

(1)空间想象能力：能根据条件作出正确的图形，根据图形想象出直观形象；能正确地分析出图形中基本元素及其相互关系；能对图形进行分解、组合与变形．

(2)抽象概括能力：能在对具体的实例抽象概括的过程中，发现研究对象的本质；从给定的大量信息材料中，概括出一些结论，并能将其应用于解决问题或作出新的判断． (3)推理论证能力：会根据已知的事实和已获得的正确数学命题来论证某一数学命题的正确性．

(4)运算求解能力：会根据概念、公式、法则正确地对数、式、方程、几何量等进行变形和运算；能分析条件，寻求与设计合理、简捷的运算途径；能根据要求对数据进行估计，并能近似计算．

(5)数据处理能力：会依据统计中的方法对数据进行整理、分析，并解决给定的实际问题．

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\(6)分析问题和解决问题的能力：能阅读、理解对问题进行陈述的材料；能综合应用所学数学知识、思想和方法解决问题，包括解决在相：关学科、生产、生活中简单的数学问题，并能用数学语言正确地加以表述；能选择有效的方法和手段对新颖的信息、情境和设问进行独立的思考与探究，创造性地解决问题． 3．个性品质要求

考生能以平和的心态参加考试，合理支配考试时间，以实事求是的科学态度解答试题，树立战胜困难的信心，体现锲而不舍的精神． 4．考查要求

(1)对数学基础知识的考查，既全面又突出重点，注重学科的内在联系和知识的综合． (2)数学思想和方法是数学知识在更高层次上的抽象和概括．对数学思想和方法的考查与数学知识的考查结合进行，考查时，从学科整体意义和思想含义上立意，注重通性通法，淡化特殊技巧．

(3)对数学能力的考查，以抽象概括能力和推理论证能力为核心，全面考查各种能力．强调探究性、综合性、应用性．突出数学试题的能力立意，坚持素质教育导向．

(4)注重试题的基础性、综合性和层次性．合理调控综合程度，坚持多角度，多层次的考查． 二、考试范围与要求层次

考试内容 集合的含义 集合 集合与常用逻 辑用语 集合的表示 集合问的基本关系 集合的基本运算 “若p，则q”形式的命题及其逆命 题、否命题与逆否命题 常用 逻辑 用语 四种命题的相互关系 充要条件 简单的逻辑联结词 全称量词与存在量词 函数的概念与表示 函数 映射 单调性与最大(小)值 奇偶性 有理指数幂的含义 指数 函数 实数指数幂的意义 幂的运算 指数函数的概念、图象及其性质 对数的概念及其运算性质 对数 函数 换底公式 对数函数的概念、图象及其性质 要求层次 A √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ B √ √ √ C √ √ 函数概念与指 数函数对数函 数、幂函数 ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\指数函数y?ax与对数函数y?logax 互为反函数(a＞0且a?1) 幂函数的概念 函数概念与指数函数、对数函数、幂函数 √ √ 幂函数 幂函数y?x，y?x2，y?x3，y?y?x的图象及其性质 121，x √ 函数的 模型及 其应用 函数的零点 二分法 函数模型的应用 任意角的概念和弧度制 弧度与角度的互化 任意角的正弦、余弦、正切的定义 用单位圆中的三角函数线表示正弦、余弦和正切 诱导公式 同角三角函数的基本关系式 周期函数的定义、三角函数的周期性 函数y?sinx，y?cosx,y?tanx的图象和性质 函数y?Asin(?x??)的图象 用三角函数解决一些简单的实际问题 两角和与差的正弦、余弦、正切公式 √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ 三角函数、 三角恒等变换、 解三角形 三 角 函 数 三角恒等变换 二倍角的正弦、余弦、正切公式 简单的恒等变换 解三角形

正弦定理、余弦定理 解三角形 ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\考试内容 数列的概念 数列的概念和表示法 等差数列的概念 数 列 等差数 列、等 比数列 等比数列的概念 等差数列的通项公式与前n项和公式 等比数列的通项公式与前n项和公式 一元二次 不等式 简单的 线性规划 基本不等式： a?b≥ab 2(a,b≥0) 要求层次 A B √ √ √ √ √ C √ √ √ 不 等 式 解一元二次不等式 用二元一次不等式组表示平面区域 简单的线性规划问题 用基本不等式解决简单的最大 (小)值问题 合情推理 归纳和类比 演绎推理 综合法 分析法 反证法 数学归纳法 √ 推 理 与 证 明 合情推理 与 演绎推理 √ √ √ √ √ √ √ 直接证明 与 间接证明 数学归纳法

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\

考试内容 平面向量 平面向量的相关概念 向量加法与减法 向量的线 性运算 向量的数乘 两个向量共线 平面向量的基本定理 平面向量 的基本定 平面 理及坐标 向量 表示 平面向量的正交分解及其坐标表示 用坐标表示平面向量的加法、减法 与数乘运算 用坐标表示的平面向量共线的条件 数量积 数量积的坐标表示 平面向量 的数量积 用数量积表示两个向量的夹角 用数量积判断两个平面向量的垂直 关系 向量的 应用 用向量方法解决简单的问题 要求层次 A √ B √ √ √ C √ √ √ √ √ √ √ √ √ ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of

letters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\考试内容 导数概念及其几何意义 导数的概念 导数的几何意义 根据导数定义求函数y?c，y?x， y?x2，y?x3，y?要求层次 A B C √ √ 1，y?x的导 x√ 导数的运算 导数 及其 应用 数 导数的四则运算 简单的复合函数(仅限于形如f(ax?b))的导数 导数公式表 √ √ √ √ 利用导数研究函数的单调性(其中 导数在研多项式函数不超过三次) 究函数中 的应用 函数的极值、最值(其中多项式函 数不超过三次) 利用导数解决某些实际问题 定积分与微积分基本定理 定积分的概念 微积分基本定理 复数的基本概念，复数相等的条件 复数的代数表示法及几何意义 复数代数形式的四则运算 复数代数形式加减法的几何意义 √ √ √ √ 数系 的扩 充与 复数的概 复数 念与运算 的引人

√ √ √ √ ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\考试内容 要求层次 A B C 柱、锥、台、球及其简单组合体 √ 空间 几何体 立体 几何 初步 三视图 √ √ 斜二侧法画简单空间图形的直观图 球、棱柱、棱锥的表面积和体积 √ 空间线、面的位置关系 √ √ √ 点、直线、 公理1、公理2、公理3、公理4、 √ 定理* 平面间的 位置关系 线、面平行或垂直的判定 线、面平行或垂直的性质

考试内容 空间直角 坐标系 空间直角坐标系 空间两点间的距离公式 空间向量的概念 空间向量基本定理 空间 空间向量 向量 及其运算 与立 体几何 要求层次 A B C √ √ √ √ √ √ √ √ 空间向量的正交分解及其坐标表示 空间向量的线性运算及其坐标表示 空间向量的数量积及其坐标表示 运用向量的数量积判断向量的共线 与垂直 直线的方向向量 平面的法向量 线、面位置关系 线线、线面、面面的夹角 √ √ √ √ 空间向量 的应用 ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\直线的倾斜角和斜率 直 线 与 方 程 过两点的直线斜率的计算公式 两条直线平行或垂直的判定 √ √ √ √ 平面 解析 几何 初步 直线方程的点斜式、两点式及一般式 两条相交直线的交点坐标 √ √ 两点间的距离公式、点到直线的距 离公式 两条平行线问的距离 圆的标准方程与一般方程 √ √ √ 圆与方程 直线与圆的位置关系 两圆的位置关系 √

考试内容 椭圆的定义及标准方程 椭圆的简单几何性质 抛物线的定义及标准方程、 圆锥曲圆锥曲线 线与方程 抛物线的简单几何性质 双曲线的定义及标准方程 双曲线的简单几何性质 直线与圆锥曲线的位置关系 曲线与方程 曲线与方程的对应关系 要求层次 A B C √ √ √ √ √ √ √ √ 算法的含义 √ 算法及其 算法 程序框图 程序框图的三种基本逻辑结构 √ 初步 基本算法 输入语句、输出语句、赋值语句、 √ 语句 条件语句、循环语句 ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\分类加法计数原理、分步乘法计数 原理 加法原理、 乘法原理 用分类加法计数原理或分步乘法计 数原理解决一些简单的实际问题 计数 原理 排列、组合的概念 排列与 排列数公式、组合数公式 组合 用排列与组合解决一些简单的实际 问题 二项式 用二项式定理解决与二项展开式有 定理 关的简单问题

考试内容 随机抽样 简单随机抽样 分层抽样和系统抽样 √ √ √ √ √ √ 要求层次 A √ B C √ 频率分布表，直方图、折线图、茎 叶图 统计 用样本 估计总体 样本数据的基本的数字特征(如平 均数、标准差) √ √ √ 用样本的频率分布估计总体分布， 用样本的基本数字特征估计总体的 基本数字特征 变量的 相关性 线性回归方程 √ ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\随机事件的概率 事件与 概率 随机事件的运算 两个互斥事件的概率加法公式 古典概型 几何概型 概率 古典概型 几何概型 √ √ √ √ √ √ 取有限值的离散型随机变量及其分 布列 超几何分布 概 率 条件概率 事件的独立性 √ √ √ n次独立重复试验与二项分布 √ √ 取有限值的离散型随机变量的均值、 方差 正态分布

考试内容 相似 三角形 几何证明选讲 圆 平行截割定理 直角三角形射影定理 圆周角定理 √ 要求层次 A √ B C √ √ 圆的切线的判定定理及性质定理 √ √ √ √ √ √ √ √ 相交弦定理 圆内接四边形的性质定理与判定 定理 切割线定理 用极坐标表示点的位置 极坐标和直角坐标的互化 直线的参数方程 坐标 系与 极坐标系 参数 方程 参数方程 √ 圆的参数方程 椭圆的参数方程 ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of

letters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\2014理科考试说明样题

一、选择题

1.设集合A?{x|x2?1?0}，B?{x|log2x?0}，则A?B等于

（A）{x|x?1} （B）{x|x?0} （C）{x|x??1} （D）{x|x??1或x?1} 2.在复平面内，复数

1?i对应的点位于 i（A）第一象限 （B）第二象限 （C）第三象限 （D）第四象限

3.在1,2,3,4,5这五个数字组成的没有重复数字的三位数中，各位数字之和为奇数的共有 （A）36个

（B）24个 （C）18个

（D）6个

4.设m、n是两条不同的直线，?,?,?是三个不同的平面，给出下列四个命题： ①若m??，n//?，则m?n

②若?//?，?//?，m??，则m?? ③若m//?，n//?，则m//n ④若???，???，则?//? 其中正确命题的序号是

（A）①和② （B）②和③ （C）③和④ （D）①和④

5.直线l过抛物线C:x?4y的焦点且与y轴垂直，则l与C所围成的图形的面积等于

248 （B）2 （C） 3316.“m=”是“直线(m+2)x+3my+1=0与直线(m－2)x+(m+2)y－3=0相互垂直”的

2（A）

（A）充分必要条件 （B）充分而不必要条件

（C）必要而不充分条件 （D）既不充分也不必要条件

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\???7.根据统计，一名工人组装第x件某产品所用的时间（单位：分钟）为f(x)?????c,x?Ax(A，

c,x≥AAC为常数）。已知工人组装第4件产品用时30分钟，组装第A件产品用时15分钟，那么C和A的值分别是

（A）75，25 （B）75，16 （C）60，25 （D）60，16 8.执行如图所示的程序框图，输出的s值为

（A）-3

开始 1 21（C）

3（B）-（D）2

i?0,s?2 s?s?1 s?1i?4 否 输出s 是 i?i?1 结束 9.某三棱锥的三视图如图所示，该三棱锥的表面积是（ ）

（A） 28?65 （B） 30?65 （C） 56?125 （D） 60?125 10.已知f(x)??

?(3a?1)x?4a,x?1是(??,??)上的减函数，那么a的取值范围是

logx,x≥1?a

（B）(0,) （D）[,1)

（A）(0,1) （C）[,)

13117317ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\11.过直线y?x上的一点作圆(x?5)2?(y?1)2?2的两条切线l1，l2，当直线l1，l2关于直线y?x对称时，它们所成锐角的大小为 （A）30

12.下图为某三岔路口交通环岛的简化模型，在某高峰时段，单位时间进出路口A,B,C的机动车辆数如图所示，图中x1,x2,x3分别表示该时段单位时间通过路段AB,BC,CA的机动车辆数（假设：单位时间内，在上述路段中，同一路段上驶入与驶出的车辆数相等），则20，30；35，30；55，50

（A）x1?x2?x3 （B）x1?x3?x2 （C）x2?x3?x1 （D）x3?x2?x1

13.设D是正?PP12P3及其内部的点构成的集合，点P0是?PP12P3的中心，若集合

（B）45

（C）60

（D）90

S?{P|P?D,|PP0|?|PP,2,3}，则集合S表示的平面区域是 i|,i?1（A）三角形区域 （B）四边形区域 二、填空题

14.函数f的最小正周期是___________ ()x?cos2x?23sinxcosx15.己知正方形ABCD的边长为l，点E是AB边上的动点.则DE?CB的值为 ； （C）五边形区域 （D）六边形区

DE?DC的最大值为 。

16.定义“等和数列”：在一个数列中，如果每一项与它的后一项的和都为同一个常数，那么这个数列叫做等和数列，这个常数叫做该数列的公和 已知数列{an}是等和数列，且a1?2，公和为5，那么a18的值为______________，这个数列的前n项和Sn的计算公式为________________

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\?x?y?4?17.已知点P(x,y)的坐标满足条件?y?x，点O为坐标原点，那么|PO|的最小值等于

?x?1?_______,最大值等于____________.

18.某校数学课外小组在坐标纸上，为学校的一块空地设计植树方案如下：第k棵树种植在点Pk(xk，yk)处，其中x1?1，y1?1，当k≥2时，

???k?1??k?2??x?x?1?5T?T?kk?1???，??5????5???? ??y?y?T?k?1??T?k?2?．kk?1??????5??5??T(a)表示非负实数a的整数部分，例如T(2.6)?2，T(0.2)?0．

按此方案，第6棵树种植点的坐标应为 ；第2008棵树种植点的坐标应为 ．

19.如图放置的边长为1的正方形PABC沿x轴滚动。 设顶点P（x，y）的轨迹方程是y?f(x)，则f(x)的最小 正周期为 ；y?f(x)在其两个相邻零点间的图像 与x轴所围区域的面积为 。

20.如图，O的弦ED，CB的延长线交于点A。若BD?AE，AB＝4, BC＝2, AD＝3,则DE＝ ；CE＝ 。

21.在极坐标系中，点(2,)到直线?sin??2的距离等于_____．

π6ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\三、解答题

22.在?ABC中，角A,B,C的对边分别为a,b,c,B?（I）求sinC的值； （Ⅱ）求?ABC的面积。

23.如图，正方形ABCD和四边形ACEF所在的平面互相垂直，CE⊥AC,EF∥AC,AB=2，CE=EF=1.

（Ⅰ）求证：AF∥平面BDE； （Ⅱ）求证：CF⊥平面BDE； （Ⅲ）求二面角A-BE-D的大小。

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of4π，cosA?,b?3。

53

letters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\24.近年来，某市为促进生活垃圾的分类处理，将生活垃圾分为厨余垃圾、可回收物和其他垃圾三类，并分别设置了相应的垃圾箱，为调查居民生活垃圾分类投放情况，先随机抽取了该市三类垃圾箱总计1000吨生活垃圾，数据统计如下（单位：吨）；

厨余垃圾 可回收物 其他垃圾

“厨余垃圾”箱 400 30 20 “可回收物”箱 100 240 20 “其他垃圾”箱 100 30 60 （Ⅰ）试估计厨余垃圾投放正确的概率； （Ⅱ）试估计生活垃圾投放错误的概率；

（Ⅲ）假设厨余垃圾在“厨余垃圾”箱、“可回收物”箱、“其他垃圾”箱的投放量分别为a，b，c，其中a﹥0，a+b+c=600.当数据a，b，c的方差s最大时，写出a，b，c的值（结论不要求证明），并求此时s的值。 （求：s?

25.某同学参加3门课程的考试。假设该同学第一门课程取得优秀成绩的概率为

22

21[(x1?x)2?(x2?x)2?...?(xn?x)2]，其中x为数据x1,x2,...,xn的平均数） n4，第二、5第三门课程取得优秀成绩的概率分别为p，q(p＞q)，且不同课程是否取得优秀成绩相互独立。记ξ为该生取得优秀成绩的课程数，其分布列为

ξ P 0 1 2 b 3 6 125a 24 125(Ⅰ)求该生至少有1门课程取得优秀成绩的概率； (Ⅱ)求p，q的值； (Ⅲ)求数学期望E?。

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\26. 设l为曲线C:y?（Ⅰ）求l的方程；

lnx在点(1,0)处的切线． x（Ⅱ）证明：除切点(1,0)之外，曲线C在直线l的下方．

27.在平面直角坐标系xoy中，点B与点A（-1,1）关于原点O对称，P是动点，且直线AP与BP的斜率之积等于?. (Ⅰ)求动点P的轨迹方程；

(Ⅱ)设直线AP和BP分别与直线x=3交于点M,N，问：是否存在点P使得△PAB与△PMN的面积相等？若存在，求出点P的坐标；若不存在，说明理由。 （20）（本小题共13分）

已知{an}是由非负整数组成的无穷数列，该数列前n项的最大值记为An，第n项之后各项an?1,an?2,???的最小值记为Bn，dn?An?Bn．

（Ⅰ）若{an}为2,1,4,3,2,1,4,3,???，是一个周期为4的数列，（即对任意n?N，，写出d1，d2，d3，d4的值； an?4?an）

（Ⅱ）设d是非负整数，证明：dn??d(n?1,2,3,???)的充分必要条件为{an}是公差为d的等差数列．

（Ⅲ）证明：若a1?2，dn?1(n?1,2,3,???)，则{an}的项只能是1或者2，且有无穷多项为1

?132014文科考试说明样题

一、选择题

1.设集合A?{x|2x?1?3}，B?{x|?3?x?2}，则A?B等于

（A）{x|?3?x?1} （B）{x|1?x?2} （C）{x|x??3} （D）{x|x?1} 2.设y1?40.91,y2?80.44,y3?()?1.5，则

2（B）y2>y1>y3

（C）y1>y2>y3

（D）y1>y3>y2

（A）y3>y1>y2

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\3.在复平面内，复数i(2?i)对应的点位于

A．第一象限 B．第二象限 C．第三象限 D．第四象限

4.函数y?1?cosx的图象

（A）关于x轴对称（B）关于y轴对称（C）关于原点对称（D）关于直线x=π/2对称

5.设m、n是两条不同的直线，?,?,?是三个不同的平面，给出下列四个命题：

①若m??，n//?，则m?n

②若?//?，?//?，m??，则m?? ③若m//?，n//?，则m//n ④若???，???，则?//?

其中正确命题的序号是

（A） ①和② （B） ②和③ （C） ③和④ （D） ①和④

?0?x?2,6.设不等式组?表示的平面区域为D，在区域D内随机取一个点，则此点到坐标

0?y?2,?原点的距离大于2的概率是（ ） （A）

ππ?2π4?π （B） （C） （D） 42642

2

7.从原点向圆 x＋y－12y＋27=0作两条切线，则这两条切线所成锐角的大小为

（A）

2???? （B） （C） （D） 63238.某车间分批生产某种产品，每批的生产准备费用为800元。若每批生产x件，则平均仓储时间为

x天，且每件产品每天的仓储费用为1元。为使平均到每件产品的生产准备费用与8ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\仓储费用之和最小，每批应生产产品

（A）60件 (B)80件 （C）100件 （D）120件

9.执行如图所示的程序框图，若输入A的值为2，则输出的P值为

(A)2 (B)3 (C)4 (D)5

10.某三梭锥的三视图如图所示，该三棱锥的表面积是（ ）

A. 28?65 B. 30?65 C. 56?125 D. 60?125

?(3?a)x?4a,x?1是(??,??)上的增函数，那么a的取值范围是 11.已知f(x)??logx,x?1?a（A）（1，+∞）

12.下图为某三岔路口交通环岛的简化模型，在某高峰时段，单位时间进出路口A,B,C的机动车辆数如图所示，图中x1,x2,x3分别表示该时段单位时间通过路段AB,BC,CA的机动车

（B）（－∞，3）

（C）[

3，3) 5（D）（1，3）

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\辆数（假设：单位时间内，在上述路段中，同一路段上驶入与驶出的车辆数相等），则20，30；35，30；55，50 （A）x1?x2?x3 （B）x1?x3?x2 （C）x2?x3?x1 （D）x3?x2?x1

13.设D是正?PP12P3及其内部的点构成的集合，点P0是?PP12P3的中心，若集合

S?{P|P?D,|PP0|?|PP,2,3}，则集合S表示的平面区域是 i|,i?1（A）三角形区域 （B）四边形区域 二、填空题

14.口袋中有形状大小相同的4只球，其中有2只红球和2只黄球，从中依次不放回地随机摸出2只球，那么，2只都是黄球的概率为 ；2只颜色不同的概率为 。 15.在△ABC中，∠A，∠B，∠C所对的边长分别为a、b、c. 若sinA:sinB:sinC=5:7:8. 则a:b:c= ，∠B的大小是 .

16．若等比数列?an?满足a2?a4?20，a3?a5?40，则公比q? ；前n项和

（C）五边形区域 （D）六边形区

Sn?

17.已知正方形ABCD的边长为1，点E是AB边上的动点，则DE?CB的值为_________;

DE?DC的最大值为 18.如图，函数f(x)的图象是折线段ABC,其中A,B,C的坐标分别为（0，4），（2，0），（6，4）， 则f(f(0))= ;

函数f(x)在x=1处的导数f?(1)= .

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of

letters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\

?x?y?4?19.已知点P(x,y)的坐标满足条件?y?x，点O为坐标原点，那么|PO|的最小值等于

?x?1?_______,最大值等于____________.

20.2002年在北京召开的国际数学家大会，会标是我国以古代数学家赵爽的弦图为基础设计的．弦图是由四个全等直角三角形与一个小正方形拼成的一个大正方形（如图）．如果小正方形的面积为1，大正方形的面积为25，直角三角形中较小的锐角为?，那么cos2?的值等于

21.如图放置的边长为1的正方形PABC沿x轴滚动。

设顶点P（x，y）的轨迹方程是y?f(x)，则f(x)的最小正周期为 ；y?f(x)在其两个相邻零点间的图像与x轴所围区域的面积为 。

三、解答题

22.已知函数f(x)?2sin(π?x)cosx。 （Ⅰ）求f(x)的最小正周期； （Ⅱ）求f(x)在区间[?

．

ππ,]上的最大值和最小值。 62ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\

23.如图1，在Rt△ABC中，∠C=90°，D，E分别为AC，AB的中点，点F为线段CD上的一点，将△ADE沿DE折起到△A1DE的位置，使A1F⊥CD，如图2。

（Ⅰ）求证：DE∥平面A1CB； （Ⅱ）求证：A1F⊥BE；

（Ⅲ）线段A1B上是否存在点Q，使A1C⊥平面DEQ？说明理由。

24.以下茎叶图记录了甲、乙两组各四名同学的植树棵数。乙组记录中有一个数据模糊，无法确认，在图中经X表示。

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\

（Ⅰ）如果X=8，求乙组同学植树棵数的平均数和方差；

（Ⅱ）如果X=9，分别从甲、乙两组中随机选取一名同学，求这两名同学的植树总棵数为19的概率。 （注：方差s?

25.近年来，某市为促进生活垃圾的分类处理，将生活垃圾分为厨余垃圾、可回收物和其他垃圾三类，并分别设置了相应的垃圾箱，为调查居民生活垃圾分类投放情况，先随机抽取了该市三类垃圾箱总计1000吨生活垃圾，数据统计如下（单位：吨）；

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of21?xn的平均数） [(x1?x)2?(x2?x)2???(xn?x)2],其中x为x1，x2，

nletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\ 厨余垃圾 可回收物 其他垃圾 “厨余垃圾”箱 400 30 20 “可回收物”箱 100 240 20 “其他垃圾”箱 100 30 60 （Ⅰ）试估计厨余垃圾投放正确的概率； （Ⅱ）试估计生活垃圾投放错误的概率；

（Ⅲ）假设厨余垃圾在“厨余垃圾”箱、“可回收物”箱、“其他垃圾”箱的投放量分别为a，b，c，其中a﹥0，a+b+c=600.当数据a，b，c的方差s最大时，写出a，b，c的值（结论不要求证明），并求此时s的值。

2

21[(x1?x)2?(x2?x)2?...?(xn?x)2]，其中x为数据x1,x2,...,xn的平均数） n12222（求：s?[(x1?x)?(x2?x)?...?(xn?x)]，其中x为数据x1,x2,...,xn的平均数）

n（求：s?2

26. 已知函数f(x)?(x?k)e。 （Ⅰ）求f(x)的单调区间；

（Ⅱ）求f(x)在区间[0,1]上的最小值。

x6x2y227. 已知椭圆G:2?2?1(a?b?0)的离心率为，右焦点为(22,0)。斜率为1的

3ab直线l与椭圆G交于A,B两点，以AB为底边作等腰三角形，顶点为P(?3,2)。 （Ⅰ）求椭圆G的方程； （Ⅱ）求?PAB的面积。 28．（本小题共13分）

给定数列a1，a2，后n?i项ai?1，ai?2，

，an。对i?1,2,3,,n?1，该数列前i项的最大值记为Ai，

，an的最小值记为Bi，di?Ai?Bi。

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\（1）设数列?an?为3，4，7，1，写出d1，d2，d3的值。 （2）设a1，a2，

，an（n?4）是公比大于1的等比数列，且a1?0，证明d1，d2，

，dn?1是等比数列。 （3）设d1，d2，

，dn?1是公差大于0的等差数列，且d1?0，证明a1，a2，

，

an?1是等差数列。

ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of

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