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）

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．

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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．

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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．

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4.

下列关系中，成立的是（）

A．

B．

C．

D．

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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．

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6.

若直线

和

互相垂直，则实数

的值为( )

A．2

B．1

C．0

D．

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7.

直线

与圆

没有公共点，则

的取值范围是（）

A．

B．

C．

D．

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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．

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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.

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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.

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11.

下列物理量的估测中，最接近实际的是（　　）

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

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

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14.

看图回答

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