2018届北京市东城区普通校高三11月联考理科数学试题及答案(2)

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北京市东城区普通校2018届高三11月联考

数学（理）试题

命题校：北京市第五十中学分校 2017年11月

本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，共150分，考试用时120分钟。考试结束后，将本试卷和答题卡一并交回。祝各位考生考试顺利！

第Ⅰ卷

一、 选择题：本大题共10小题，每小题5分，共50分．在每小题列出的四个选项中，只有一项是符合题目要求的。 1. 集合A?{x?N|x?6},B?{x?R|x2?3x?0}，则A?B?

A.{3,4,5} B.{4,5,6} C.{x{x/3?x?6}

/3?x?6} D.

2. 复数1?1在复平面上对应的点的坐标是 i（1，1）（?1，1）A． B． C． D． （?1,?1）（1,?1）

3. 已知{an}为等差数列，其前n项和为Sn，若a3?6，S3?12，则公差d等于

A. 1 B. D. 3 4.“x是的 ?1”“x2?1”53 C. 2

A. 充分不必要条件 B. 必要不充分条件

C. 充分必要条件 D. 既不充分也不必要条件

5. 已知角?的终边经过点P(?m,4)且cos???3，则m的值为 5A. 3 B. -3 C. ?3 D. 5

第Ⅱ卷

二、 填空题：本大题共6小题，每小题5分，共30分。 11. 已知命题P那么该命题的否定是:?x0?R,x0?2x0?2?0，

2_____________. 12. 已知??(?2,?),sin??3，则tan(???)=_____________． 54?a4?20,a3?a5?4013. 若等比数列{an}满足a2q?_________；

，，则公比

前n项和Sn?_______________________.

14．函数f(x)?2sin(?x??)(??0,??2????2)的 部

分图象如图所示，则?=______________；

?=____________________.

15. 若函数

?2x2，0?x?1?f（x）??2， 1?x?2，则f(3)=_______________,函数

?3，? x?2的的值域是 .

16. 在平面直角坐标系中，横坐标、纵坐标均为整数的点称为整点，如果函数f(x)的图像恰好通过n(n?N?)个整点，则称

函数f(x)为n阶整点函数，有下列函数：① ② g(x)?x3 ③ h(x)?()x

lnx13f(x)?sin2x

④?(x)?其中，是一阶整点函数的是

_____________________.

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