2014海淀区高三文科一模

海淀区高三年级第二学期期中练习

数学（文科） 2014.4

本试卷共4页，150分。考试时长120分钟。考生务必将答案答在答题卡上，在试卷上

作答无效。考试结束后，将本试卷和答题卡一并交回。

一、选择题：本大题共8小题,每小题5分,共40分.在每小题列出的四个选项中,选出符合题目要求的一项.

52i

=- A.2i - B.2i + C.12i + D. 12i -

2. 已知集合{}{}

1,0,1,sin π,,A B y y x x A A B =-==∈= 则

A.{}1-

B.{}0

C. {

}1 D.? 3. 抛物线28y x =上到其焦点F 距离为5的点有 A.0个

B.1个

C. 2个

D. 4个

4. 平面向量,a b 满足||2=a ，||1=b ，且,a b 的夹角为60?，则()?+a a b = A.1 B. 3 C.5

D. 7

5. 函数()2sin f x x x =+的部分图象可能是

A B C D

6. 已知等比数列{}n a 的前n 项和为n S ，且1S ，22S a +，3S 成等差数列，则数列{}n a 的公比为 A ．1 B ．2 C ．

D ．3 7. 已知()x f x a =和()x g x b =是指数函数，则“(2)(2)f g >”是“a b >”的

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 8. 已知(1,0)A ，点B 在曲线:G ln y x =上，若线段AB 与曲线:M 1

y x

相交且交点恰为线段AB 的中点，则称B 为曲线G 关于曲线M 的一个关联点.那么曲线G 关于曲线M 的关联点的个数为 A ．0 B ．1 C ．2 D ．4

二、填空题:本大题共6小题,每小题5分,共30分.

9.双曲线22

1 3

x y m -=的离心率为2，则m =__________.

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