2016-2017学年河南省南阳市第一中学高二下学期第一次月考(3月)数学(理)试卷(带解析)

适用年级:高二
试卷号:573942

试卷类型:月考
试卷考试时间:2017/5/4

1.单选题(共10题)

1.
质点运动规律,则在时间中,质点的平均速度等于(  )
A.B.C.D.
2.
已知点在曲线上,为曲线在点处的切线的倾斜角,则的取值范围是()
A.B.C.D.
3.
设函数可导,则等于( )
A.B.C.D.
4.
曲线在点处的切线方程是(   )
A.B.
C.D.
5.
设函数,则( )
A.2B.-2C.5D.
6.
若函数在其定义域内的一个子区间内不是单调函数,则实数的取值范围是(  )
A.B.C.D.
7.
已知函数满足,且,则的解集为()
A.B.C.D.
8.
函数内的单调增区间是(  )
A.B.C.D.
9.
若函数的图像关于直线对称,分别是上的动点,则的最小值为()
A.B.C.D.
10.
都是正数,则三个数 (   )
A.都大于2B.至少有一个不小于2
C.至少有一个大于2D.至少有一个不大于2

2.选择题(共2题)

11.阅读下面的文章,从文章后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。

    Universities are doing everything they can to become a green campus. But there are also items students can do to make your campus more eco-friendly.

1)Recycle everything, especially paper!

    There is a large amount of paper a college student goes through every term.{#blank#}1{#/blank#} We know that these things can't be avoided, but the way you handle the use of all the paper can really help create a better green campus.

2)Buy green.

    {#blank#}2{#/blank#} Paper, cleaning products and water are products that can be bought as recycled goods. They're slightly more expensive than the normal products, but it's worth it to make a green campus.

3)Walk and bike to school.

    Most campuses, especially those that are trying to become a more eco-friendly campus, have pretty good public transit (公共交通系统).{#blank#}3{#/blank#} Walking or biking will help make your campus a green university.

4) {#blank#}4{#/blank#}

    A water bottle can be refilled at any water fountain and can easily be drunk in class or while riding a bike. This will save the environment by decreasing the amount of plastic waste on your campus.

5)Buy used clothing.

    It is usually thought of as something to do to save money. {#blank#}5{#/blank#} Recycling clothes minimizes the use of resources to make clothing and puts a dent in the problem of worldwide sweatshops.

A. Carry a water bottle.

B. It is also good for the environment!

C. Buy recycled goods as much as possible.

D. Paper made of this kind of wood is much stronger.

E. On top of that, almost all universities are pedestrian (步行者) friendly.

F. It includes class notes, term papers, student newspapers and so on.

G. Universities call on all the students to learn to recycle all the waste paper.

12.阅读下面的文章,从文章后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。

    Universities are doing everything they can to become a green campus. But there are also items students can do to make your campus more eco-friendly.

1)Recycle everything, especially paper!

    There is a large amount of paper a college student goes through every term.{#blank#}1{#/blank#} We know that these things can't be avoided, but the way you handle the use of all the paper can really help create a better green campus.

2)Buy green.

    {#blank#}2{#/blank#} Paper, cleaning products and water are products that can be bought as recycled goods. They're slightly more expensive than the normal products, but it's worth it to make a green campus.

3)Walk and bike to school.

    Most campuses, especially those that are trying to become a more eco-friendly campus, have pretty good public transit (公共交通系统).{#blank#}3{#/blank#} Walking or biking will help make your campus a green university.

4) {#blank#}4{#/blank#}

    A water bottle can be refilled at any water fountain and can easily be drunk in class or while riding a bike. This will save the environment by decreasing the amount of plastic waste on your campus.

5)Buy used clothing.

    It is usually thought of as something to do to save money. {#blank#}5{#/blank#} Recycling clothes minimizes the use of resources to make clothing and puts a dent in the problem of worldwide sweatshops.

A. Carry a water bottle.

B. It is also good for the environment!

C. Buy recycled goods as much as possible.

D. Paper made of this kind of wood is much stronger.

E. On top of that, almost all universities are pedestrian (步行者) friendly.

F. It includes class notes, term papers, student newspapers and so on.

G. Universities call on all the students to learn to recycle all the waste paper.

3.填空题(共3题)

13.
若函数在区间上为减函数,在区间上为增函数,试求实数的取值范围.
14.
已知的定义域是的导数,且满足,则不等式的解集是___________。
15.
函数有两个零点,则的范围是____________。

4.解答题(共5题)

16.
已知函数的图像在点处的切线方程为,求函数的解析式。
17.
已知函数 (为常数).
(1)若函数与函数处有相同的切线,求实数的值;
(2)若,且,求证:
(3)若对任意,不等式恒成立,求实数的取值范围.
18.
已知函数
(1)求的单调区间;(2)求的最值。
19.
已知函数处取得极值.
(Ⅰ)求实数的值;
(Ⅱ)若关于的方程恰好有两个不相等的实数根,求实数的取值范围.
20.
已知数列的前项和为,且
(1)试求出,并猜想的表达式;
(2)证明你的猜想,并求出的表达式。
试卷分析
  • 【1】题量占比

    单选题:(10道)

    选择题:(2道)

    填空题:(3道)

    解答题:(5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