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Section A

Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.

25. I called Alice many times yesterday evening, but I couldn’t get through. Her brother _____ on the phone all the time!

 
A. was talking
B. has been talking
C. has talked
D. talked

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Section A

Directions: In Section A; you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.

1.      
A. In a hotel.
B. At a dinner table.
C. In the street.
D. At the man’s house.
2.      
A. France.
B. Britain.
C. Germany.
D. Spain.
3.      
A. A writer.
B. A teacher.
C. A reporter.
D. A student.
4.      
A. Librarian and students.
B. Operator and caller.
 
C. Boss and secretary.
D. Customer and repairman.
5.      
A. Five lessons.
B. Three lessons.
C. Twelve lessons.
D. Fifteen lessons.
6.      
A. The man is planning a trip to Austin.
B. The man has not been to Austin before.
 
C. The man doesn’t like Austin.
D. The man has been to Austin before.
7.      
A. Find a larger room.
B. Sell the old table.
 
C. Buy two bookshelves.
D. Rearrange some furniture.
8.      
A. The choice of courses.
B. A day course.
 
C. An evening course.
D. Their work.
9.      
A. It was a long lecture, but easy to understand.
 
B. It was not as easy as she had expected.
 
C. It was as difficult as she had expected.
 
D. It was interesting and easy to follow.
10.    
A. She felt it was tiring.
B. She felt it was very nice.
 
C. She felt it took less time.
D. She thought it was expensive.

Section B

Directions: In Section B, you will hear two short passages, and you will be asked to questions on each of the passages. The passages will be read twice, but the questions will spoken only once. When you hear a question, read the four possible answers on your paper decide which one would be the blest answer to the question you have heard.

Questions 11 through 13 are based on the following passage.

11.
A. Synthetic fuel.
B. Solar energy.
C. Alcohol.
D. Electricity.
12.
A. Air traffic conditions.
B. Traffic jams on highways.
 
C. Road conditions.
D. New traffic rules.
13.
A. Go through a health check.
B. Take little luggage with them.
 
C. Arrive early for boarding.
D. Undergo(进行) security checks.

Questions 14 through 16 are based on the following news.

14.
A. Industry.
B. Agriculture.
C. Public health.
D. Environment.
15.
A. Three thousand million dollars.
B. Three hundred million dollars.
 
C. Thirty-two thousand million dollars.
D. Twenty-three thousand million dollars.
16.
A. Production problems.
 
B. Failure to use the right chemicals.
 
C. the active chemicals are stronger than permitted by government.
 
D. Both A and B.

Section C

Directions: In Section C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.

Blanks 17 through 20 are based on the following conversation.

Telephone message
From: Tom, Prof. Smith’s student.
To: Prof. Smith.
Message: tom’s class is working on an English __17__. And they would like you to give them some __18__. Call him back at __19__ before __20__.

Complete the form. Write ONE WORD for each answer.

Blanks 21 through 24 are based on the following conversation.

Plan for Vacation
Ann
Mike
Place
Would like to go to the (21)____________.
Thinking of spending one week (23)_______________ and the remaining week visiting London.
Reasons
Likes sports and (22)_____________ activities.
a.     A lot of work to be done.
b.    A revisit to their (24)_____________ place.

   Complete the form. Write NO MORE THAN THREE WORDS for each answer.

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22.(本小题满分14分)

已知函数

(Ⅰ)求函数的单调区间;

(Ⅱ)若函数的图像在点处的切线的倾斜角为,问:m在什么范围取值时,对于任意的,函数在区间上总存在极值。

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21.(本小题满分12分)

   已知椭圆C的离心率是,且曲线过点(1,).

(Ⅰ)求椭圆C的标准方程;

(Ⅱ)已知直线与椭圆C交于不同的两点A,B,且线段AB的中点不在圆内,求m的取值范围.

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20.(本小题满分12分)

已知数列的前项和为

   (Ⅰ)求证:数列为等差数列,并分别求出的表达式;

   (Ⅱ)设数列的前项和,试求的取值范围.

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19.(本小题满分12分)

   如图,四棱锥的底面为正方形,侧棱,且分别是线段的中点。

(I)求证:PB// 平面EFH;

   (II)求证:

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18.(本小题满分12分)

某高中学校共有学生2000名,各年级男、女生人数如下表:

 
高一年级
高二年级
高三年级
女生
373
x
y
男生
377
370
z

已知在全校学生中随机抽取1名,抽到高二年级女生的概率是0.19。

  (Ⅰ)求x值;

  (Ⅱ)现用分层抽样的方法在全校抽取48名学生,问应在高三年级抽取多少人?

(Ⅲ)已知求高三年级女生比男生多的概率。

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17.(本小题满分12分)

在斜三角形ABC中,角A,B,C的对边分别是a,b,c,且

(Ⅰ)求角A;

(Ⅱ)若,求角C的取值范围.

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16. 给出以下四个命题:

①命题“”的否定是“”;

②在空间中,是两条不重合的直线,是两个不重合的平面,若

③将函数的图像向右平移个单位,得到函数的图像;

④函数的图像关于点(1,1)对称。

其中正确命题的序号是   

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15. 已知直线与圆相切,则m=      

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