相关试卷
当前位置:首页 > 高中数学试卷 > 试卷信息
2010-2011学年河北省高三12月月考数学理卷
一、选择题
详细信息
1. 难度:中等

集合A={-1,0,1},B={说明: 6ec8aac122bd4f6e},则A说明: 6ec8aac122bd4f6eB=(    )

    A. {0}      B. {1}         C.{0,1}       D.{-1,0,1}

 

详细信息
2. 难度:中等

已知说明: 6ec8aac122bd4f6e,且说明: 6ec8aac122bd4f6e为实数,则说明: 6ec8aac122bd4f6e等于(    )

A. 1         B.说明: 6ec8aac122bd4f6e             C.说明: 6ec8aac122bd4f6e           D.说明: 6ec8aac122bd4f6e

 

详细信息
3. 难度:中等

使不等式说明: 6ec8aac122bd4f6e成立的一个必要不充分条件是(    )

    A. 说明: 6ec8aac122bd4f6e    B.说明: 6ec8aac122bd4f6e   C. 说明: 6ec8aac122bd4f6e D. 说明: 6ec8aac122bd4f6e,或说明: 6ec8aac122bd4f6e

 

详细信息
4. 难度:中等

在等比数列说明: 6ec8aac122bd4f6e的值为(    )                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

    A.9           B.1  C.2    D.3

 

详细信息
5. 难度:中等

以双曲线说明: 6ec8aac122bd4f6e的中心为顶点,右焦点为焦点的抛物线方程是(    )

  A.说明: 6ec8aac122bd4f6e      B.说明: 6ec8aac122bd4f6e     C.说明: 6ec8aac122bd4f6e    D. 说明: 6ec8aac122bd4f6e

 

详细信息
6. 难度:中等

现将10个参加2009年全国高中数学竞赛的名额分配给某区四个不同学校,要求一个学校1名,一个学校2名,一个学校3名,一个学校4名,,则不同分配方案种数共有 (    )

A.43200               B.12600              C.24          D.20

 

详细信息
7. 难度:中等

定义运算:说明: 6ec8aac122bd4f6e,将函数说明: 6ec8aac122bd4f6e的图象向左平移说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e)个单位,所得图象对应的函数为偶函数,则说明: 6ec8aac122bd4f6e的最小值为(    )

A. 说明: 6ec8aac122bd4f6e            B.说明: 6ec8aac122bd4f6e            C.说明: 6ec8aac122bd4f6e            D.说明: 6ec8aac122bd4f6e

 

详细信息
8. 难度:中等

在空间给出下列四个命题:

①如果平面说明: 6ec8aac122bd4f6e内的一条直线说明: 6ec8aac122bd4f6e垂直于平面说明: 6ec8aac122bd4f6e内的任意一条直线,则说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e

②如果直线说明: 6ec8aac122bd4f6e与平面说明: 6ec8aac122bd4f6e内的一条直线平行,则说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e

③如果直线说明: 6ec8aac122bd4f6e与平面说明: 6ec8aac122bd4f6e内的两条直线都垂直,则说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e

④如果平面说明: 6ec8aac122bd4f6e内的两条直线都平行于平面说明: 6ec8aac122bd4f6e,则说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e.其中正确的个数是

A.说明: 6ec8aac122bd4f6e         B.说明: 6ec8aac122bd4f6e       C.说明: 6ec8aac122bd4f6e         D.说明: 6ec8aac122bd4f6e

 

详细信息
9. 难度:中等

用数1、2、3、4、5可以组成没有重复数字,并且比20000大的五位偶数共有(    )

A.48个      B.36个         C.24个           D.18个

 

详细信息
10. 难度:中等

已知说明: 6ec8aac122bd4f6e,直线说明: 6ec8aac122bd4f6e与直线说明: 6ec8aac122bd4f6e互相垂直,则说明: 6ec8aac122bd4f6e的最小值等于(    )

A.1    B.2    C.说明: 6ec8aac122bd4f6e    D.说明: 6ec8aac122bd4f6e

 

详细信息
11. 难度:中等

已知说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e是椭圆说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e长轴的两个端点,说明: 6ec8aac122bd4f6e是它短轴的一个端点,如果说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e的夹角不小于说明: 6ec8aac122bd4f6e,则该椭圆的离心率的取值范围是(    )

A.说明: 6ec8aac122bd4f6e    B.说明: 6ec8aac122bd4f6e    C.说明: 6ec8aac122bd4f6e     D.说明: 6ec8aac122bd4f6e

 

详细信息
12. 难度:中等

已知说明: 6ec8aac122bd4f6e是定义在说明: 6ec8aac122bd4f6e上的增函数,函数说明: 6ec8aac122bd4f6e的图像关于点说明: 6ec8aac122bd4f6e对称,若对于任意的说明: 6ec8aac122bd4f6e,不等式说明: 6ec8aac122bd4f6e恒成立,则当说明: 6ec8aac122bd4f6e时,说明: 6ec8aac122bd4f6e的取值范围是(    )

A.(3,7)    B.(9,25)    C.(13,49)    D.(9,49)

 

二、填空题
详细信息
13. 难度:中等

平行四边形说明: 6ec8aac122bd4f6e中,说明: 6ec8aac122bd4f6e为一条对角线,若说明: 6ec8aac122bd4f6e,说明: 6ec8aac122bd4f6e,则说明: 6ec8aac122bd4f6e           .

 

详细信息
14. 难度:中等

说明: 6ec8aac122bd4f6e的展开式中x3的系数是            .

 

详细信息
15. 难度:中等

当实数说明: 6ec8aac122bd4f6e满足约束条件说明: 6ec8aac122bd4f6e(其中说明: 6ec8aac122bd4f6e为小于零的常数)时,说明: 6ec8aac122bd4f6e的最小值为说明: 6ec8aac122bd4f6e,则实数说明: 6ec8aac122bd4f6e的值是            .

 

详细信息
16. 难度:中等

给出下列四个结论: ①当a为任意实数时,直线说明: 6ec8aac122bd4f6e恒过定点P,则过点P且焦点在y轴上的抛物线的标准方程是说明: 6ec8aac122bd4f6e

②已知双曲线的右焦点为(5,0),一条渐近线方程为说明: 6ec8aac122bd4f6e,则双曲线的标准方程是说明: 6ec8aac122bd4f6e

③抛物线说明: 6ec8aac122bd4f6e

④已知双曲线说明: 6ec8aac122bd4f6e,其离心率说明: 6ec8aac122bd4f6e,则m的取值范围是(-12,0)。

其中为真命题的是           

 

三、解答题
详细信息
17. 难度:中等

设角说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e的三个内角,已知向量说明: 6ec8aac122bd4f6e

说明: 6ec8aac122bd4f6e,且说明: 6ec8aac122bd4f6e.

(Ⅰ)求角说明: 6ec8aac122bd4f6e的大小; (Ⅱ)若向量说明: 6ec8aac122bd4f6e,试求说明: 6ec8aac122bd4f6e的取值范围.

 

详细信息
18. 难度:中等

(本题满分12分)如图,ABCD是边长为2的正方形,ED⊥平面ABCD,ED=1,EF∥BD且EF=说明: 6ec8aac122bd4f6eBD

(1)求证:BF∥平面ACE;                              

(2)求二面角B-AF-C的大小;                         

(3)求点F到平面ACE的距离.                            

 

详细信息
19. 难度:中等

已知函数说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e处取得的极小值是说明: 6ec8aac122bd4f6e.

(1)求说明: 6ec8aac122bd4f6e的单调递增区间;

(2)若说明: 6ec8aac122bd4f6e时,有说明: 6ec8aac122bd4f6e恒成立,求实数说明: 6ec8aac122bd4f6e的取值范围.

 

详细信息
20. 难度:中等

如图,在矩形ABCD中,AB=2,BC=a,又PA⊥平面ABCD,PA=4.     

(Ⅰ)若在边BC上存在一点Q,使PQ⊥QD,求a的取值范围;

(Ⅱ)当边BC上存在唯一点Q,使PQ⊥QD时,求二面角A-PD-Q的余弦值.

 

 

 

 

6ec8aac122bd4f6e

 

 

详细信息
21. 难度:中等

已知椭圆的方程为说明: 6ec8aac122bd4f6e,它的一个焦点与抛物线说明: 6ec8aac122bd4f6e的焦点重合,离心率说明: 6ec8aac122bd4f6e,过椭圆的右焦点说明: 6ec8aac122bd4f6e作与坐标轴不垂直的直线说明: 6ec8aac122bd4f6e,交椭圆于说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e两点.

 (Ⅰ)求椭圆的标准方程; (Ⅱ)设点说明: 6ec8aac122bd4f6e,且说明: 6ec8aac122bd4f6e,求直线说明: 6ec8aac122bd4f6e的方程;

 

详细信息
22. 难度:中等

设数列说明: 6ec8aac122bd4f6e的前说明: 6ec8aac122bd4f6e项和为说明: 6ec8aac122bd4f6e,点说明: 6ec8aac122bd4f6e在直线说明: 6ec8aac122bd4f6e上,说明: 6ec8aac122bd4f6e为常数,说明: 6ec8aac122bd4f6e

(Ⅰ)求说明: 6ec8aac122bd4f6e

(Ⅱ)若数列说明: 6ec8aac122bd4f6e的公比说明: 6ec8aac122bd4f6e,数列说明: 6ec8aac122bd4f6e满足说明: 6ec8aac122bd4f6e,求证:说明: 6ec8aac122bd4f6e为等差数列,并求说明: 6ec8aac122bd4f6e

(III)设数列说明: 6ec8aac122bd4f6e满足说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e为数列说明: 6ec8aac122bd4f6e的前说明: 6ec8aac122bd4f6e项和,且存在实数说明: 6ec8aac122bd4f6e满足说明: 6ec8aac122bd4f6e说明: 6ec8aac122bd4f6e,求说明: 6ec8aac122bd4f6e的最大值.

 

Copyright @ 2008-2013 满分5 学习网 ManFen5.COM. All Rights Reserved.