2013-2014学年重庆市重庆一中高二上学期期中考试英语试卷（带解析）

1.执行如图的程序框图（N∈N^*），那么输出的p是（）

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2.设椭圆C： {#mathml#}

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}

{#/mathml#} =1（a＞b＞0）的焦点F₁，F₂，过右焦点F₂的直线l与C相交于P、Q两点，若△PQF₁的周长为短轴长的2 {#mathml#}

\sqrt{3}

{#/mathml#} 倍．

（Ⅰ）求C的离心率；

（Ⅱ）设l的斜率为1，在C上是否存在一点M，使得 {#mathml#} $\vec{O M} = 2 \vec{O P} + \vec{O Q}$ {#/mathml#} ？若存在，求出点M的坐标；若不存在，说明理由．

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3.设椭圆C： {#mathml#}

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}

{#/mathml#} =1（a＞b＞0）的焦点F₁，F₂，过右焦点F₂的直线l与C相交于P、Q两点，若△PQF₁的周长为短轴长的2 {#mathml#}

\sqrt{3}

{#/mathml#} 倍．

（Ⅰ）求C的离心率；

（Ⅱ）设l的斜率为1，在C上是否存在一点M，使得 {#mathml#} $\vec{O M} = 2 \vec{O P} + \vec{O Q}$ {#/mathml#} ？若存在，求出点M的坐标；若不存在，说明理由．

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4.如图，直三棱柱ABC﹣A₁B₁C₁中，AC⊥BC，AC=BC= {#mathml#}

\frac{1}{2}

{#/mathml#} AA₁=1，D是棱AA₁上的点，DC₁⊥BD

（Ⅰ）求证：D为AA₁中点；

（Ⅱ）求直线BC₁与平面BDC所成角正弦值大小；

（Ⅲ）在△ABC边界及内部是否存在点M，使得B₁M⊥面BDC，存在，说明M位置，不存在，说明理由．

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5.如图，直三棱柱ABC﹣A₁B₁C₁中，AC⊥BC，AC=BC= {#mathml#}

\frac{1}{2}

{#/mathml#} AA₁=1，D是棱AA₁上的点，DC₁⊥BD

（Ⅰ）求证：D为AA₁中点；

（Ⅱ）求直线BC₁与平面BDC所成角正弦值大小；

（Ⅲ）在△ABC边界及内部是否存在点M，使得B₁M⊥面BDC，存在，说明M位置，不存在，说明理由．

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6.已知O是△ABC外接圆的圆心，已知△ABC外接圆半径为2，若 {#mathml#}

4 \vec{O A} + 5 \vec{O B} + 6 \vec{O C} = \vec{0}

{#/mathml#} ，则边长AB={#blank#}1{#/blank#}．

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7.已知O是△ABC外接圆的圆心，已知△ABC外接圆半径为2，若 {#mathml#}

4 \vec{O A} + 5 \vec{O B} + 6 \vec{O C} = \vec{0}

{#/mathml#} ，则边长AB={#blank#}1{#/blank#}．

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8.等差数列{a_n}，{b_n}的前n项和分别为S_n，T_n，且 {#mathml#}

\frac{S_{n}}{T_{n}} = \frac{n - 9}{n + 3}

{#/mathml#} ，则 {#mathml#}

\frac{a_{7}}{b_{7}}

{#/mathml#} ={#blank#}1{#/blank#}．

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9.等差数列{a_n}，{b_n}的前n项和分别为S_n，T_n，且 {#mathml#}

\frac{S_{n}}{T_{n}} = \frac{n - 9}{n + 3}

{#/mathml#} ，则 {#mathml#}

\frac{a_{7}}{b_{7}}

{#/mathml#} ={#blank#}1{#/blank#}．

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10.PM2.5是指大气中直径小于或等于2.5微米的颗粒物，也称为可入肺颗粒物．我国PM2.5标准采用世卫组织设定的最宽限值，即PM2.5日均值在35微克/立方米以下空气质量为一级；在35微克/立方米～75微克/立方米之间空气质量为二级；在75微克/立方米以上空气质量为超标．

某市环保局从市区2016年全年每天的PM2.5监测数据中随机抽取15天的数据作为样本，监测值如茎叶图所示（十位为茎，个位为叶）

（Ⅰ）从这15天的数据中任取一天，求这天空气质量达到一级的概率；

（Ⅱ）从这15天的数据中任取3天的数据，记ξ表示其中空气质量达到一级的天数，求ξ的分布列；

（Ⅲ）以这15天的PM2.5的日均值来估计一年的空气质量情况，（一年按360天来计算），则一年中大约有多少天的空气质量达到一级．

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11.函数f（x）=x³﹣x²+x+1在点（1，2）处的切线与函数g（x）=x²围成的图形的面积等于{#blank#}1{#/blank#}．

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12.函数f（x）=x³﹣x²+x+1在点（1，2）处的切线与函数g（x）=x²围成的图形的面积等于{#blank#}1{#/blank#}．

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13.函数f（x）=x³﹣x²+x+1在点（1，2）处的切线与函数g（x）=x²围成的图形的面积等于{#blank#}1{#/blank#}．

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14.已知焦点为F的抛物线y²=2px（p＞0）上有一点 {#mathml#}

A (m ， 2 \sqrt{2})

{#/mathml#} ，以A为圆心，|AF|为半径的圆被y轴截得的弦长为 {#mathml#}

2 \sqrt{7}

{#/mathml#} ，则m=（）

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15.已知a＞0，b＞0，c＞0，函数f（x）=|x+a|﹣|x﹣b|+c的最大值为10．

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16.

– How did you know each other?
– Well, 2 years ago when I went on ______ trip to Yangshuo, we took ______ shelter from rain in the same cafe.

A．/; the

B．a; a

C．a; /

D．the; /

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17.

You'd better take a heavy coat. Sometimes it ______ be very cold.

A．should

B．can

C．will

D．must

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18.

– I ran 10 miles last weekend. Can you believe that?
– Wow, that ______ easy!

A．mustn' t be	B．mustn't have been
C．can't have been	D．couldn’t be

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19.

President Xi Jinping demanded that the environmental problems ______ paid special attention to.

A．referred to being	B．referred to be
C．refer to being	D．refer to be

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20.

As far as I know, it was the car accident that led to ______．

A．him to be killed	B．kill him
C．him having killed	D．his being killed

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21.

______ to get a ticket for the concert Eason's Life, George has been standing in a queue for 3 hours.

A．Determining

B．To determine

C．Being determined

D．Determined

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22.

He pretended ______ the problem, but he ______.

A．to solve; lay	B．to have solved; lied
C．to have solved; laid	D．to solve; lied

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23.

It was very lucky to see the "Monster of Lake Tianchi", ______ we didn't see it clearly.

A．still

B．however

C．now that

D．though

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24.

Students should be encouraged to ______ their own opinions, ______ right or wrong.

A．present; whether	B．compare; no matter
C．announce; no matter	D．remark; whether

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25.

– Where are you working now?
– In Chongqing. But I _____ in Shanghai for 5 years.

A．worked

B．had worked

C．have worked

D．had been working

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26.

We ______ hurry because we still had a lot of time.

A．don't have to

B．needn't have to

C．didn't need

D．didn't have to

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27.

If everything goes well, I ______ home at this time tomorrow morning.

A．will drive	B．am going to drive
C．will be driving	D．am to drive

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28.

With the development of high technology, more and more new things ______ in the past years.

A．discovered	B．have discovered
C．had been discovered	D．have been discovered

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29.

On top of the mountain ______, which was built 2,000 years ago.

A．a tower stands	B．stands a tower
C．standing a tower	D．does a tower stand

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30.

That e-book is no larger than an ordinary book with a screen ______ you can read original book and film reviews.

A．in which

B．of which

C．that

D．where

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31.

We're visiting Disneyland next week, ______ should be very exciting.

A．that

B．it

C．which

D．what

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32.

– You should walk or run daily if you want to keep fit.
– ______.

A．Yes, that's enough	B．Thanks for your advice
C．I like watching TV	D．Well, that's OK

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33.

Friends are very important in our everyday life. Everyone needs friends. We all like to feel close to someone. It is nice to have a friend to talk, laugh, and do things with.____, sometimes we need to be alone. We don’t always want people____But we would feel lonely if we never had a friend.
No two people are____Friends sometimes don’t get on well. That doesn’t mean that they no longer like each other. Most of the time they will____and become friends again.
Sometimes friends move away. Then we feel very____We miss them very much, but we can call them and write to them. And we can____new friends. It is encouraging to find out how much we like new people when we get to know them.
There’s more good news for people who have friends. They live longer than people who don’t. Why? Friends can make us feel happy. Being happy helps you____well. If someone cares about you, you take____care of yourself.

【小题1】

A．Hardly

B．Nearly

C．Suddenly

D．Certainly

【小题2】

A．alone

B．away

C．all over

D．around

【小题3】

A．friendly

B．kind

C．just the same

D．quite different

【小题4】

A．make up

B．run away

C．get around

D．set off

【小题5】

A．angry

B．sad

C．happy

D．alone

【小题6】

A．search

B．contact

C．make

D．know

【小题7】

A．stay

B．match

C．think

D．organize

【小题8】

A．less

B．better

C．little

D．lot

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2013-2014学年重庆市重庆一中高二上学期期中考试英语试卷（带解析）

1.选择题(共15题)

2.单项选择(共17题)

3.完形填空(共1题)

【1】题量占比

【2】：难度分析