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辽宁省盘锦市高级中学2017-2018学年高二下学期期末考试理数试卷

辽宁省盘锦市高级中学2017-2018学年高二下学期期末考试理数试卷
辽宁省盘锦市高级中学2017-2018学年高二下学期期末考试理数试卷

辽宁省盘锦市高级中学2017-2018学年高二下学期

期末考试理数试卷

学校_________ 班级__________ 姓名__________ 学号__________

一、单选题

1. 已知集合,则()A.B.C.D.

2. 抛物线的准线方程为()

C.D.

A.B.

3. 设p、q是两个命题,若是真命题,那么()

A.p是真命题且q是假命题B.p是真命题且q是真命题

C.p是假命题且q是真命题D.p是假命题且q是假命题

4. 已知,,则=()

A.2 B.-2 C.D.3

5. 函数的单调递增区间是()

A.B.

C.D.

6. 函数的图象大致为()

C.D.

A.B.

7. 将个座位连成一排,安排个人就坐,恰有两个空位相邻的不同坐法有()

A.B.C.D.

8. 高三某班有60名学生(其中女生有20名),三好学生占,而且三好学生中女生占一半,现在从该班任选一名学生参加座谈会,则在已知没有选上女生的条件下,选上的是三好学生的概率是()

A.B.C.D.

9. 已知命题:①函数的值域是;

②为了得到函数的图象,只需把函数图象上的所有点向右平移个单位长度;

③当或时,幂函数的图象都是一条直线;

④已知函数,若互不相等,且

,则的取值范围是.

其中正确的命题个数为()

A.4 B.3 C.2 D.1

10. 函数的图象沿轴向右平移个单位后,得到

为偶函数,则的最小值为()

A.B.C.D.

11. 已知锐角中,角所对的边分别为,若,则

的取值范围是()

A.B.C.D.

12. 设定义在(0,+∞)上的函数f(x)满足xf′(x)-f(x)=xlnx,

,则f(x)( )

A.有极大值,无极小值B.有极小值,无极大值

C.既有极大值,又有极小值D.既无极大值,又无极小值

二、填空题

13. 在的二项展开式中,所有项的二项式系数之和为256,则n等于_________.

14. 已知双曲线,若矩形ABCD的四个顶点在E上,AB,CD的中点为E的两个焦点,且,则E的离心率为__________.

15. 已知分别为的三个内角的对边,,且

,为内一点,且满足

,则__________.

16. 已知函数,若存在,使得

,则实数的取值范围__________.

三、解答题

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