2014届湖南省长沙县实验中学高三上学期第二次月考英语试卷(带解析)

适用年级:高三
试卷号:82900

试卷类型:月考
试卷考试时间:2017/7/19

1.选择题(共14题)

1.已知函数f(x)=xlnx﹣ {#mathml#}12{#/mathml#} ax2有两个极值点,则实数a的取值范围为(   )
2.已知函数f(x)=x﹣ {#mathml#}12{#/mathml#} ax2﹣ln(1+x),其中a∈R.
3.若函数f(x)=﹣x3+6x2+m的极大值为12,则实数m={#blank#}1{#/blank#}.
4.若函数f(x)=﹣x3+6x2+m的极大值为12,则实数m={#blank#}1{#/blank#}.
5.若函数f(x)=﹣x3+6x2+m的极大值为12,则实数m={#blank#}1{#/blank#}.
6.设 {#mathml#}f(x)=14x+2{#/mathml#} ,先分别求f(0)+f(1),f(﹣1)+f(2),f(﹣2)+f(3),然后归纳猜想一般性结论,并给出证明.
7.设 {#mathml#}f(x)=14x+2{#/mathml#} ,先分别求f(0)+f(1),f(﹣1)+f(2),f(﹣2)+f(3),然后归纳猜想一般性结论,并给出证明.
8.设函数f(x)是定义在(﹣∞,0)上的可导函数,其导函数为f′(x),且有3f(x)+xf′(x)>0,则不等式(x+2017)3f(x+2017)+27f(﹣3)>0的解集是(   )
9.设函数f(x)是定义在(﹣∞,0)上的可导函数,其导函数为f′(x),且有3f(x)+xf′(x)>0,则不等式(x+2017)3f(x+2017)+27f(﹣3)>0的解集是(   )
10.已知函数f(x)= {#mathml#}{x0<x<11xx1{#/mathml#} ,g(x)=af(x)﹣|x﹣1|.

(Ⅰ)当a=0时,若g(x)≤|x﹣2|+b对任意x∈(0,+∞)恒成立,求实数b的取值范围;

(Ⅱ)当a=1时,求g(x)的最大值.

11.已知函数f(x)= {#mathml#}{x0<x<11xx1{#/mathml#} ,g(x)=af(x)﹣|x﹣1|.

(Ⅰ)当a=0时,若g(x)≤|x﹣2|+b对任意x∈(0,+∞)恒成立,求实数b的取值范围;

(Ⅱ)当a=1时,求g(x)的最大值.

12.已知函数f(x)= {#mathml#}{x0<x<11xx1{#/mathml#} ,g(x)=af(x)﹣|x﹣1|.

(Ⅰ)当a=0时,若g(x)≤|x﹣2|+b对任意x∈(0,+∞)恒成立,求实数b的取值范围;

(Ⅱ)当a=1时,求g(x)的最大值.

13.已知a,b,c都是正数,求证: {#mathml#}a2b2+b2c2+c2a2a+b+c{#/mathml#} ≥abc.
14.已知a,b,c都是正数,求证: {#mathml#}a2b2+b2c2+c2a2a+b+c{#/mathml#} ≥abc.

2.单项选择(共14题)

15.
Despite her illness, Lucy had lost ___of her enthusiasm for life and still made many plans for the future. 
A.neitherB.bothC.allD.none
16.
But for your timely warning, we ___have been unaware of the danger. Thank you very much!
A.shallB.mustC.will D.would
17.
—Can you see the bridge ___over there?
— Yes. It’s scheduled to be completed next year.
A.builtB.to be builtC.being builtD.having built
18.
Recently , a number of Taobao sellers have begun offering garments ____styles worn by China’s first lady PengLiyuan. 
A.base onB.bases onC.basing onD.based on
19.
____ the standard of living for 3 billion people will create massive opportunities, XiJinping said at the fifth BRICS summit , and he called for major cooperation projects.
A.ImproveB.ImprovedC.ImprovesD.Improving
20.
___ has already been pointed out is that grammar is not a set of dead rules.
A.AsB.ItC.WhatD.Which
21.
You can make a complaint to the local government ____you are happy with the way things are.
A.unlessB.ifC.onceD.as
22.
By this time next summer, you ___ a high paying job. I, on the other hand , will still be studying for my degree.
A.will have foundB.will findC.have foundD.will be finding
23.
My father ____ a bus to his office until the workers have had his car fixed next week.
A.has takenB.is takingC.had takenD.took
24.
There ________ when we came here last time, which was said to date back to 773 BC.
A. stood a great castle    B. does stand a great castle
C. stands a great castle    D. did stand a great castle
25.
___some of the juice and perhaps you’ll like it.
A.TryingB.To tryC.TryD.Having tried
26.
Bob had little idea that his wife was in danger, _____?
A.didn’t heB.did heC.wasn’t sheD.was she
27.
The question that puzzles them is ___they can finish the work on time.
A.what it is thatB.what is it thatC.how is it thatD.how it is that
28.
Be sure to make the invitations sent to ____ has taken part in the competition.
A.whoB.whomC.whoeverD.whomever
试卷分析
  • 【1】题量占比

    选择题:(14道)

    单项选择:(14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:13

    7星难题:0

    8星难题:0

    9星难题:1