2015-2016学年北大附中河南分校高一宏志班上学期抽考数学试卷(带解析)

适用年级:高一
试卷号:631164

试卷类型:月考
试卷考试时间:2017/7/26

1.单选题(共8题)

1.
已知函数,若函数有三个零点,则实数的取值范围是(   )
A.B.C.D.
2.
已知函数的定义域是,若对于任意的正数,函数,都是其定义域上的增函数,则函数的图像可能是下图中的( )
A.B.C.D.
3.
已知角的终边上一点坐标为,则角的最小正值为(    )
A.B.C.D.
4.
下列关系中,成立的是 ( ) 
A.
B.
C.
D.
5.
—个几何体的三视图及其尺寸如右图所示,其中正(主)视图是直角三角形,侧(左)视图是半圆,俯视图是等腰三角形,则这个几何体的表面积是(    )
A.
B.
C.
D.
6.
若直线互相垂直,则实数的值为(  )
A.2B.1C.0D.
7.
直线与圆没有公共点,则的取值范围是()
A.B.C.D.
8.
已知事件“在矩形的边上随机取一点,使的最大边是”发生的概率为,则()
A.B.C.D.

2.选择题(共6题)

9.假定英语课上老师要求同桌之间交换修改作文,请你修改你同桌写的以下作文。文中共有10处语言错误,每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。

增加:在缺词处加一个漏字符号(∧),并在其下面写出该加的词。

删除:把多余的词用斜线(\)划掉。

修改:在错的词下画一横线,并在该词下面写出修改后的词。

注意:1)每处错误及其修改均仅限一词;

2)只允许修改10处,多者(从第11处起)不计分。

    It has been a long time since I did anything good for the environment. Feeling responsible to protect the environment, I decided to take the action again. I told my idea to my friends and we planned to plant tree on the hill in the countryside. We came to the foot of the hill and selected a place where looked suitably and settled down. We spend a few hours digging holes and placing the young seedlings. Then we wrote our wishes on cards one to one and buried it deep down the roots of the trees. We also took a lot of pictures. We were such busy that we didn't realize that it was time to go back. I felt really glad that we made difference to the environment.

10.假定英语课上老师要求同桌之间交换修改作文,请你修改你同桌写的以下作文。文中共有10处语言错误,每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。

增加:在缺词处加一个漏字符号(∧),并在其下面写出该加的词。

删除:把多余的词用斜线(\)划掉。

修改:在错的词下画一横线,并在该词下面写出修改后的词。

注意:1)每处错误及其修改均仅限一词;

2)只允许修改10处,多者(从第11处起)不计分。

    It has been a long time since I did anything good for the environment. Feeling responsible to protect the environment, I decided to take the action again. I told my idea to my friends and we planned to plant tree on the hill in the countryside. We came to the foot of the hill and selected a place where looked suitably and settled down. We spend a few hours digging holes and placing the young seedlings. Then we wrote our wishes on cards one to one and buried it deep down the roots of the trees. We also took a lot of pictures. We were such busy that we didn't realize that it was time to go back. I felt really glad that we made difference to the environment.

11.

下列物理量的估测中,最接近实际的是(  )

12.
. I prefer a house in a small coast village to ______ in such a large city ______ Sydney.
13.
. I prefer a house in a small coast village to ______ in such a large city ______ Sydney.
14.

看图回答

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3.填空题(共4题)

15.
设函数 ,若,则的取值范围是_____________________.
16.
设函数是奇函数,则的解集为_______.
17.
已知命题:“若,则”为真命题,那么字母在空间所表示的几何图形:①都是直线;
②都是平面;
是直线,是平面;
是平面,是直线.
其中正确结论的序号为___________.
18.
平行于直线且与圆相切的直线的方程是 _________________.

4.解答题(共6题)

19.
设集合
(1)求集合
(2)若不等式的解集为,求的值.
20.
已知函数在定义域上为增函数,且满足,.
(1) 求的值;
(2) 解不等式.
21.
已知定义域为的函数是奇函数.
(1)求的值;
(2)已知在定义域上为减函数,若对任意的,不等式为常数)恒成立,求的取值范围.
22.
如图(a)所示,在直角梯形中,的中点,上,且.已知,沿线段把四边形折起如图(b)所示,使平面平面

(1)求证:
(2)求三棱锥的体积.
23.
已知圆过点,且与圆关于直线对称.
(1)求圆的方程;
(2)过点作两条相异直线分别与圆相交于,且直线和直线的倾斜角互补,为坐标原点,试判断直线是否平行?请说明理由.
24.
已知函数
(1)若都是从0,1,2,3,4五个数中任取的一个数,求方程有根的概率.
(2)若都是从区间任取的一个数,求成立时的概率.
试卷分析
  • 【1】题量占比

    单选题:(8道)

    选择题:(6道)

    填空题:(4道)

    解答题:(6道)

  • 【2】:难度分析

    1星难题:0

    2星难题:0

    3星难题:0

    4星难题:0

    5星难题:0

    6星难题:0

    7星难题:0

    8星难题:0

    9星难题:18