2012-2013学年云南大理宾川第四高级中学高一12月月考英语试卷（带解析）

适用年级：高一
试卷号：81230

试卷类型：月考
试卷考试时间：2017/7/19

1.选择题(共9题)

1.请用数学归纳法证明：1+3+6+…+ {#mathml#}

\frac{n (n + 1)}{2}

{#/mathml#} = {#mathml#}

\frac{n (n + 1) (n + 2)}{6}

{#/mathml#} （n∈N^*）

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2.在△ABC中，角A，B，C所对边分别为a，b，c，已知 {#mathml#}

\frac{s i n A}{\sin B + sinC} = 1 - \frac{a - b}{a - c}

{#/mathml#} ．

（Ⅰ）若b= {#mathml#} $\sqrt{3}$ {#/mathml#} ，当△ABC周长取最大值时，求△ABC的面积；

（Ⅱ）设 {#mathml#} $\vec{m} = (s i n A, 1), \vec{n} = (6 \cos B, \cos 2 A), 求 \vec{m} \cdot \vec{n}$ {#/mathml#} 的取值范围．

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3.在△ABC中，角A，B，C所对边分别为a，b，c，已知 {#mathml#}

\frac{s i n A}{\sin B + sinC} = 1 - \frac{a - b}{a - c}

{#/mathml#} ．

（Ⅰ）若b= {#mathml#} $\sqrt{3}$ {#/mathml#} ，当△ABC周长取最大值时，求△ABC的面积；

（Ⅱ）设 {#mathml#} $\vec{m} = (s i n A, 1), \vec{n} = (6 \cos B, \cos 2 A), 求 \vec{m} \cdot \vec{n}$ {#/mathml#} 的取值范围．

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4.已知sin（x﹣ {#mathml#}

\frac{π}{4}

{#/mathml#} ）= {#mathml#}

\frac{7 \sqrt{2}}{10}

{#/mathml#} ，cos2x= {#mathml#}

\frac{7}{25}

{#/mathml#} ，

（Ⅰ）求 {#mathml#} $\cos (\frac{7 π}{12} - x)$ {#/mathml#} 的值；

（Ⅱ）求 {#mathml#} $\frac{\sin 2 x + 2 \sin^{2} x}{1 - \tan x}$ {#/mathml#} 的值．

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5.△ABC中，角A，B，C所对边分别为a，b，c，a=2，B=45°，①当b= {#mathml#}

\sqrt{2}

{#/mathml#} 时，三角形有{#blank#}1{#/blank#}个解；②若三角形有两解，则b的取值范围是{#blank#}2{#/blank#}．

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6.原电池是将化学能直接转化为电能的装置，原电池反应的本质是（）

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7.原电池是将化学能直接转化为电能的装置，原电池反应的本质是（）

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8.原电池是将化学能直接转化为电能的装置，原电池反应的本质是（）

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9.原电池是将化学能直接转化为电能的装置，原电池反应的本质是（）

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2.单项选择(共11题)

10.

I had ________ supper at my friend’s last Sunday and ________ food was so delicious.
A. a ; the B.不填；不填 C不填.; the D. the; 不填

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11.

After ________ hard, I got a job in a gold mine.

A．to try

B．tried

C．trying

D．try

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12.

________ my surprise, ________ I could have a word with him, he left.

A．In; before

B．To; before

C．In; when

D．To; since

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13.

He failed in the examination, ________ made his father very angry.

A．which

B．it

C．that

D．what

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14.

There is no doubt ________ he will succeed.

A．whether

B．which

C．that

D．if

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15.

The school ________I studied for only two years was three kilometers away.

A．what

B．that

C．where

D．which

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16.

After visiting China, most of the foreign friends said they would never forget the time they had spent in China.

A．that	B．what
C．when	D．at which

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17.

－ Where does Mr. Black Live ? Can you guess?
－ Sorry , I can’t guess ________.

A．where does he live	B．where he lives in
C．where does he live in	D．where he lives

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18.

Here is my classmate ________ bicycle was lost yesterday.

A．his

B．that

C．which

D．whose

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19.

－ What about having a cup of tea some day？
－ __________.

A．Go ahead, please

B．Help yourself

C．Good idea

D．Me too

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20.

It’s helpful to put children in a situation______ they can see themselves differently.

A．when

B．which

C．that

D．where

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试卷分析

【1】题量占比

选择题:(9道)

单项选择:(11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：10

7星难题：0

8星难题：0

9星难题：1

2012-2013学年云南大理宾川第四高级中学高一12月月考英语试卷（带解析）

1.选择题(共9题)

2.单项选择(共11题)

【1】题量占比

【2】：难度分析