2012年全国各地中考数学试卷规律探索(1)

According to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\n content of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the greatrejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \nguage\st countries must have \of will\2012年全国各地中考数学试卷分类汇编

专项二规律探索型问题（补课第六次，8月16日）

1. （2012

山东莱芜， 17，4分） 将正方形ABCD的各边按如图所示延长，从射线AB开始，分别在各射线上标记点

A1,A2,A3….,按此规律，则点A2012在射线 上.

A13 A6 A1 A10 A B A3 A12 A11 A4 D C A9 A2 A5 A7 A14 A8

第一题图

2.（2012·湖北省恩施市，16 ，4）请观察下表：

0 1 1 2 A 5 B 13 21 34 55 … 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 C 10 10 5 1 1 6 D 20 15 6 1 1 7 21 35 35 21 1 1 E 28 56 70 56 28 8 1 1 9 36 84 … … … … … … 1 10 45 … … … … … … … … 根据表中数的排列规律，B+D=_________.

3.（2012山西，16，3分）如图，是由形状相同的正六边形和正三角形镶嵌而成的一组有规律的图案，则第n个图案中阴

影小三角形的个数是 ．

roved that a people and a nation, if it does not have its own spiritual pillar, there is no unity of spiritual support, it means that no soul, will lose cohesion and vitality. Figuratively speaking, a sack of potatoes, quantity cannot be too a team, form a joint force; only like granite, so closely United to form invincible, no difficult means of strength. National rejuvenation of Chinese dream, not only embodies the common interests and pursuits, and covers a variety of groups and classes, has a wide applicability and inclusive, with a strong integrating force and lead the force. She embodies the aspirations of several generations of Chinese, reflecting today ... Into sex and purity, and the inevitable requirement of constantly improving the party's governing capacity. Strengthening the construction of the advanced nature and purity, the core problem is always maintaining the party's flesh-and-blood ties with the masses, so that our party will always be the most wholehearted support of the masses. Must take the fundamental interests of the overwhelming majority of the people as the party all the starting point and ending point, the party has always been a common fate with the masses, this is the magic weapon for our party to always maintain the advanced nature and purity. Strengthening the construction of party's advanced nature and purity and enhancing the party's ruling ability will eventually be implemented to realize, safeguard and develop the fundamental interests of the overwhelming majority of the people. All the work merits this is a measure of the party's fundamental standards, is a measure of the party's advanced nature and purity standards. Believe who, depending on who, who, standing on the position of the overwhelming majority of the people are always, always realize, safeguard and develop the fundamental interests of the overwhelming majority of the people, it is a touchstone of the Marxist party of judgement, is also sign of Marxist party is different from other political parties. Marxist political party has a clear political position and historical mission: for the interests of the vast majority of people, committed to the fundamental interests of the overwhelming majority of the people. From the day of the establishment of the Chinese Communist Party, always adhere to basic principles of historical materialism, for the interests of the most people as their goal, always serving as its fundamental purpose and values. Fully trust the masses, closely rely on the masses maintain flesh-and-blood ties with the masses is always the source of our party full of vigor and vitality, is always the most determined in the development of our party and our country. Conscientiously accept supervision by the masses, pay attention to listen to the masses ' assessment, which itself was the party's advanced nature and purity into practical action to realize the fundamental interests of the overwhelming majority of the people. At present, the party committees and leading cadres and the Government generally value the close relations with the masses, do a lot of productive work, but there are still someAccording to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\n content of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the greatrejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \nguage\st countries must have \of will\第3题图

5.(2012重庆，9，4分)下列图形都是由同样大小的五角星按一定的规律组成，其中第①个图形一共有2个五角星，第②

个图形一共有8个五角星，第③个图形一共有18个五角星，…，则第⑥个图形中五角星的个数为( )

6.（2012广州市，16， 3分）如图5，在标有刻度的直线L上，从点A开始，以AB=1为直径画半圆，记为第1个半圆；

以AB=1为直径画半圆，记为第1个半圆；以BC=2为直径画半圆，记为第2个半圆；以CD=4为直径画半圆，记为第3个半圆；以DE=8为直径画半圆，记为第4个半圆；……，按此规律，继续画半圆，则第4个半圆的面积是第3个半圆面积的 倍，第n个半圆的面积为 。（结果保留π）

第6题图

9.(2012广东汕头，21，7分)观察下列等式：

第1个等式：a1=第2个等式：a2=第3个等式：a3=第4个等式：a4=

= =； = =

roved that a people and a nation, if it does not have its own spiritual pillar, there is no unity of spiritual support, it means that no soul, will lose cohesion and vitality. Figuratively speaking, a sack of potatoes, quantity cannot be too a team, form a joint force; only like granite, so closely United to form invincible, no difficult means of strength. National rejuvenation of Chinese dream, not only embodies the common interests and pursuits, and covers a variety of groups and classes, has a wide applicability and inclusive, with a strong integrating force and lead the force. She embodies the aspirations of several generations of Chinese, reflecting today ... Into sex and purity, and the inevitable requirement of constantly improving the party's governing capacity. Strengthening the construction of the advanced nature and purity, the core problem is always maintaining the party's flesh-and-blood ties with the masses, so that our party will always be the most wholehearted support of the masses. Must take the fundamental interests of the overwhelming majority of the people as the party all the starting point and ending point, the party has always been a common fate with the masses, this is the magic weapon for our party to always maintain the advanced nature and purity. Strengthening the construction of party's advanced nature and purity and enhancing the party's ruling ability will eventually be implemented to realize, safeguard and develop the fundamental interests of the overwhelmng majority of the people. All the work merits this is a measure of the party's fundamental standards, is a measure of the party's advanced nature and purity standards. Believe who, depending on who, who, standing on the position of the overwhelming majority of the people are always, always realize, safeguard and develop the fundamental interests of the overwhelming majority of the people, it is a touchstone of the Marxist party of judgement, is also sign of Marxist party is different from other political parties. Marxist political party has a clear political position and historical mission: for the interests of the vast majority of people, committed to the fundamental interests of the overwhelming majority of the people. From the day of the establishment of the Chinese Communist Party, always adhere to basic principles of historical materialism, for the interests of the most people as their goal, always serving as its fundamental purpose and values. Fully trust the masses, closely rely on the masses maintain flesh-and-blood ties with the masses is always the source of our party full of vigor and vitality, is always the most determined in the development of our party and our country. Conscientiously accept supervision by the masses, pay attention to listen to the masses ' assessment, which itself was the party's advanced nature and purity into practical action to realize the fundamental interests of the overwhelming majority of the people. At present, the party committees and leading cadres and the Government generally value the close relations with the masses, do a lot of productive work, but there are still someAccording to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\n content of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the greatrejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \nguage\st countries must have \of will\…

请解答下列问题：

（1）按以上规律列出第5个等式：a5= = ； （2）用含有n的代数式表示第n个等式：an= （3）求a1+a2+a3+a4+…+a100的值．

=

（n为正整数）；

10.（2011山东省潍坊市，17，3）17、右图中每一个小方格的面积为1，则可根据面积计算得到如下算式：

1?3?5?7??????2n?1?= .?用n表示，n是正整数?

考点：数学归纳法，规律探索题

11.（湖南株洲市，3,16分）一组数据为：x,?2x2,4x3,?8x4,观察其规律，推断第n个数据应为 . n?1n?1【解析】从一组数据第一个数据的系数是正数，第二个数据的系数是负数，字母的次数从1，2，3依次排列，所以(?1)【答案】(?1)n?1n?12xn

2xn

【点评】根据题目的条件列出算式，找出算式中的规律得出乘积.难度中等.

12. （2012浙江丽水3分，10题）小明用棋子摆放图形来研究数的规律.图1中棋子围成三角形，其颗数3，6，9，12，···成

为三角形数，类似地，图2中的4，8，12，16，···称为正方形数.下列数中既是三角形数又是正方形数的是（ ）

A.2010 B.2012 C.2014 D.2016

13.（2012山东省荷泽市，14，3）一个自然数的立方，可以分裂成若干个连续奇数的和，例如：23，33，和43分别可以按

如图所示的方式“分裂”成2个、3个和4个连续奇数的和，即23=3+5;33=7+9+11;43=13+15+17+19;……;若63也按照此规律来进行“分裂”，则63“分裂”出的奇数中，最大的那个奇数是_____.

roved that a people and a nation, if it does not have its own spiritual pillar, there is no unity of spiritual support, it means that no soul, will lose cohesion and vitality. Figuratively speaking, a sack of potatoes, quantity cannot be too a team, form a joint force; only like granite, so closely United to form invincible, no difficult means of strength. National rejuvenation of Chinese dream, not only embodies the common interests and pursuits, and covers a variety of groups and classes, has a wide applicability and inclusive, with a strong integrating force and lead the force. She embodies the aspirations of several generations of Chinese, reflecting today ... Into sex and purity, and the inevitable requirement of constantly improving the party's governing capacity. Strengthening the construction of the dvanced nature and purity, the core problem is always maintaining the party's flesh-and-blood ties with the masses, so that our party will always be the most wholehearted support of the masses. Must take the fundamental interests of the overwhelming majority of the people as the party all the starting point and ending point, the party has always been a common fate with the masses, this is the magic weapon for our party to always maintain the advanced nature and purity. Strengthening the construction of party's advanced nature and purity and enhancing the party's ruling ability will eventuallybe implemented to realize, safeguard and develop the fundamental interests of the overwhelming majority of the people. All the work merits this is a measure of the party's fundamental standards, is a measure of the party's advanced nature and purity standards. Believe who, depending on who, who, standing on the position of the overwhelming majority of the people are always, always realize, safeguard and develop the fundamental interests of the overwhelming majority of the people, it is a touchstone of the Marxist party of judgement, is also sign of Marxist party is different from other political parties. Marxist political party has a clear political position and historical mission: for the interests of the vast majority of people, committed to the fundamental interests of the overwhelming majority of the people. From the day of the establishment of the Chinese Communist Party, always adhere to basic principles of historical materialism, for the interests of the most people as their goal, always serving as its fundamental purpose and values. Fully trust the masses, closely rely on the masses maintain flesh-and-blood ties with the masses is always the source of our party full of vigor and vitality, is always the most determined in the development of our party and our country. Conscientiously accept supervision by the masses, pay attention to listen to the masses ' assessment, which itself was the party's advanced nature and purity into practical action to realize the fundamental interests of the overwhelming majority of the people. At present, the party committees and leading cadres and the Government generally value the close relations with the masses, do a lot of productive work, but there are still someAccording to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\n content of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the greatrejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \nguage\st countries must have \of will\

14.（2012江苏盐城，8，3分）已知整数a

依次类推，则a2012的值为（ ）

1,

，a2，a3，a4，…满足下列条件：a1=0，a2=-a1?1,a3=-a2?2,a4=-a3?3,…

A．-1005 B．-1006 C．-1007 D． -2012

15.（2012贵州铜仁，10，4分）如图，第①个图形中一共有1个平行四边形，第②个图形中一共有5个平行四边形，第

③个图形中一共有11个平行四边形，……则第⑩个图形中平行四边形的个数是（ ）

第15题图

A.54 B.110 C.19 D.109

【解析】仔细观察图形可得，图形①中1=1×1+0，图形②中5=2×2+1，图形③中 11=3×3+2，……，依次类推，∴第⑩个图形中平行四边形的个数是10×10+9=109 【解答】D.

【点评】本题考查了图形的变化规律，较难.探索规律的问题是近几年数学中考的一个“热门”题型.解决这类问题的基本思路是：通过观察、分析若干特殊情形，归纳总结出一般性结论，然后验证其结论的正确性.难度较易.

16.（2012湖北随州，15,4分）平面内不同的两点确定一条直线，不同的三点最多确定三条直线。若平面内的不同的n个

点最多可确定15条直线，则n的值为______________。6 【解析】设有n个点时，【解答】6

【点评】本题是个规律性题目，关键知道当不在同一平面上的n个点时，可确定度适中.

18.（2012湖南益阳，19，10分）观察图形，解答问题：

y

n(n?1)?15，解得n=6或n=-5（舍去）． 2n(n?1)条直线，再代入15可求出解.难2x roved that a people and a nation, if it does not have its own spiritual pillar, there is no unity of spiritual support, it means that no soul, will lose cohesion and vitality. Figuratively speaking, a sack of potatoes, quantity cannot be too a team, form a joint force; only like granite, so closely United to form invincible, no difficult means of strength. National rejuvenation of Chinese dream, not only embodies the common interests and pursuits, and covers a variety of groups and classes, has a wide applicability and inclusive, with a strong integrating force and lead the force. She embodies the aspirations of several generations of Chinese, reflecting today ... Into sex and purity, and the inevitable requirement of constantly improving the party's governing capacity. Strengthening the construction of the advanced nature and purity, the core problem is always maintaining the party's flesh-and-blood ties with the masses, so that our party will always be the most wholehearted support of the masses. Must take the fundamental interests of the overwhelming majority of the people as the party all the starting point and ending point, the party has always been a common fate with the masses, this is the magic weapon for our party to always maintain the advanced nature and purity. Strengthening the construction of party's advanced nature and purity and enhancing the party's ruling ability will eventually be implemented to realize, safeguard and develop the fundamental interests of the overwhelmng majority of the people. All the work merits this is a measure of the party's fundamental standards, is a measure of the party's advanced nature and purity standards. Believe who, depending on who, who, standing on the position of the overwhelming majority of the people are always, always realize, safeguard and develop the fundamental interests of the overwhelming majority of the people, it is a touchstone of the Marxist party of judgement, is also sign of Marxist party is different from other political parties. Marxist political party has a clear political position and historical mission: for the interests of the vast majority of people, committed to the fundamental interests of the overwhelming majority of the people. From the day of the establishment of the Chinese Communist Party, always adhere to basic principles of historical materialism, for the interests of the most people as their goal, always serving as its fundamental purpose and values. Fully trust the masses, closely rely on the masses maintain flesh-and-blood ties with the masses is always the source of our party full of vigor and vitality, is always the most determined in the development of our party and our country. Conscientiously accept supervision by the masses, pay attention to listen to the masses ' assessment, which itself was the party's advanced nature and purity into practical action to realize the fundamental interests of the overwhelming majority of the people. At present, the party committees and leading cadres and the Government generally value the close relations with the masses, do a lot of productive work, but there are still someAccording to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\n content of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the greatrejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \nguage\st countries must have \of will\（1）按下表已填写的形式填写表中的空格：

三个角上三个数的积 三个角上三个数的和 积与和的商 图① 1×(－1)×2=－2 1＋(－1)＋2=2 －2÷2=－1, 图② (－3)×(－4)×(－5)=－60 (－3)＋(－4)＋(－5)=－12 图③ （2）请用你发现的规律求出图④中的数y和图⑤中的数x． 19. ( 2012年四川省巴中市,18,3)观察下列面一列数：1，-2，3，-4，5，-6，…根据你发现的规律，第2012个数是___________ 20.（2012贵州省毕节市，20，5分）在下图中，每个图案均由边长为1的小正方形按一定的规律堆叠而成，照此规律，

第10个图案中共有 个小正方形。

21.（2012，湖北孝感，15，3分）2008年北京成功举办了一届举世瞩目的奥运会，今年的奥运会将在英国伦敦举行，奥

运会的年份与届数如下表所示： 年份 届数 1896 1 1900 2 1904 3 … … 2012 n 表中n等于__________． 22. （2012珠海，20，9分）观察下列等式：

12×231=132×21，

13×341=143×31， 23×352=253×32， 34×473=374×43， 62×286=682×26，

……

以上每个等式中两边数字是分别对称的，且每个等式中组成两位数与三位数的数字之间具有相同规律，我们称这类等式为“数字对称等式”.

（1）根据上述各式反映的规律填空，使式子称为“数字对称等式”： ①52× ＝ ×25； ② ×396＝693× .

（2）设这类等式左边两位数的十位数字为a，个位数字为b，且2≤a?b≤9，写出表示“数字对称等式”一般规律的式子（含a、b），并证明.

23.（2012

云南省，14 ，3分）观察下列图形的排列规律（其中分别表示三角形、正方形、五角星）.若第一

roved that a people and a nation, if it does not have its own spiritual pillar, there is no unity of spiritual support, it means that no soul, will lose cohesion and vitality. Figuratively speaking, a sack of potatoes, quantity cannot be too a team, form a joint force; only like granite, so closely United to form invincible, no difficult means of strength. National rejuvenation of Chinese dream, not only embodies the common interests and pursuits, and covers a variety of groups and classes, has a wide applicability and inclusive, with a strong integrating force and lead the force. She embodies the aspirations of several generations of Chinese, reflecting today ... Into sex and purity, and the inevitable requirement of constantly improving the party's governing capacity. Strengthening the construction of the dvanced nature and purity, the core problem is always maintaining the party's flesh-and-blood ties with the masses, so that our party will always be the most wholehearted support of the masses. Must take the fundamental interests of the overwhelming majority of the people as the party all the starting point and ending point, the party has always been a common fate with the masses, this is the magic weapon for our party to always maintain the advanced nature and purity. Strengthening the construction of party's advanced nature and purity and enhancing the party's ruling ability will eventuallybe implemented to realize, safeguard and develop the fundamental interests of the overwhelming majority of the people. All the work merits this is a measure of the party's fundamental standards, is a measure of the party's advanced nature and purity standards. Believe who, depending on who, who, standing on the position of the overwhelming majority of the people are always, always realize, safeguard and develop the fundamental interests of the overwhelming majority of the people, it is a touchstone of the Marxist party of judgement, is also sign of Marxist party is different from other political parties. Marxist political party has a clear political position and historical mission: for the interests of the vast majority of people, committed to the fundamental interests of the overwhelming majority of the people. From the day of the establishment of the Chinese Communist Party, always adhere to basic principles of historical materialism, for the interests of the most people as their goal, always serving as its fundamental purpose and values. Fully trust the masses, closely rely on the masses maintain flesh-and-blood ties with the masses is always the source of our party full of vigor and vitality, is always the most determined in the development of our party and our country. Conscientiously accept supervision by the masses, pay attention to listen to the masses ' assessment, which itself was the party's advanced nature and purity into practical action to realize the fundamental interests of the overwhelming majority of the people. At present, the party committees and leading cadres and the Government generally value the close relations with the masses, do a lot of productive work, but there are still someAccording to Office Party of mass line education practice activities led group of unified arrangements, units main led to for cadres workers Shang a times party lecture, due to himself level limited, only put this stage concentrated learning of experience today and everyone common with learning exchange, purpose is let we further deep understanding mass line of connotation, insisted party of mass line, do masses work, following main from four a aspects told: a, and full awareness party of mass line education practice activities of major meaning Party's 18 major distinct proposed to focus on the party's advanced nature and purity, in the party, with \nd clean for the people\n content of the party's mass line and educational practice. This is comrade XI Jinping as party General Secretary and adhere to strictly administering the party, strengthen the party's major decision is in line with the public expectations and strengthening the construction of learning-oriented service innovation of Marxist party's major deployment, is the important measure to advance the great cause of socialism with Chinese characteristics. First, carry out the party's mass line in education practice, was carrying 18 of the party spirit, summon a powerful force for realizing the greatrejuvenation of the Chinese nation the Chinese dream of urgent needs. Party's 18 to promote strategic deployment to building socialism with Chinese characteristics, presents two 100-year goal, namely, by 2020 China's gross domestic product and per capita income of urban and rural residents in 2010 on the basis of double complete the building of a well-off society; the middle of this century into a prosperous, democratic, civilized and harmonious Socialist modern country, and on this basis, the Chinese dream of realizing the great rejuvenation of the Chinese nation. 18 Congress of the party, Comrade XI Jinping repeatedly expounded the Chinese dream. The basic connotation of the Chinese dream, is the national prosperity, national revitalization, the happiness of the people, China important to follow is to keep China Road, carry forward the spirit and cohesion strength of China, dream dreams of the people of China, but determined confidence, enhance self-awareness, achieve self-reliance, to build a stronger China, civilization, harmony, beauty, China, China, China. Strategic conception of China was 18 the spirit of the enrichment and development of the party, conscientiously study the Chinese dream, leading people to hard to realize the Chinese dream, mass education activities in depth the fundamental starting point and ending point. Strengthen the education of the party's mass line, helps to train the collective consciousness of the unity of the party and the people, playing the Chinese dream ideological bases. Comrade Mao Zedong stressed that parties should have \nguage\st countries must have \of will\个图形是三角形，则第18个图形是 （填图形名称）

roved that a people and a nation, if it does not have its own spiritual pillar, there is no unity of spiritual support, it means that no soul, will lose cohesion and vitality. Figuratively speaking, a sack of potatoes, quantity cannot be too a team, form a joint force; only like granite, so closely United to form invincible, no difficult means of strength. National rejuvenation of Chinese dream, not only embodies the common interests and pursuits, and covers a variety of groups and classes, has a wide applicability and inclusive, with a strong integrating force and lead the force. She embodies the aspirations of several generations of Chinese, reflecting today ... Into sex and purity, and the inevitable requirement of constantly improving the party's governing capacity. Strengthening the construction of the advanced nature and purity, the core problem is always maintaining the party's flesh-and-blood ties with the masses, so that our party will always be the most wholehearted support of the masses. Must take the fundamental interests of the overwhelming majority of the people as the party all the starting point and ending point, the party has always been a common fate with the masses, this is the magic weapon for our party to always maintain the advanced nature and purity. Strengthening the construction of party's advanced nature and purity and enhancing the party's ruling ability will eventually be implemented to realize, safeguard and develop the fundamental interests of the overwhelmng majority of the people. All the work merits this is a measure of the party's fundamental standards, is a measure of the party's advanced nature and purity standards. Believe who, depending on who, who, standing on the position of the overwhelming majority of the people are always, always realize, safeguard and develop the fundamental interests of the overwhelming majority of the people, it is a touchstone of the Marxist party of judgement, is also sign of Marxist party is different from other political parties. Marxist political party has a clear political position and historical mission: for the interests of the vast majority of people, committed to the fundamental interests of the overwhelming majority of the people. From the day of the establishment of the Chinese Communist Party, always adhere to basic principles of historical materialism, for the interests of the most people as their goal, always serving as its fundamental purpose and values. Fully trust the masses, closely rely on the masses maintain flesh-and-blood ties with the masses is always the source of our party full of vigor and vitality, is always the most determined in the development of our party and our country. Conscientiously accept supervision by the masses, pay attention to listen to the masses ' assessment, which itself was the party's advanced nature and purity into practical action to realize the fundamental interests of the overwhelming majority of the people. At present, the party committees and leading cadres and the Government generally value the close relations with the masses, do a lot of productive work, but there are still some

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