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.　 Researchers are working on treatments that lengthen the life time of mice _____ 50% .

A.　　　 of　　　　　　　　　　　　　 B. by　　　　　　　　　　　　　 C. for　　　　　　　　　　　　　 D. at

Section A　 Short Conversations

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.　 A teacher.　　　　　 B.　 A policeman.　　　　　　 C.　 A doctor.　　　　　　　　　 D.　 An athlete.

2.　　　 A.　 In a shop.　　　　　　 B.　 In an airport.　　　　　　　 C.　 In a museum.　　　　　　 D.　 In a hotel.

3.　　　 A.　 Parent and child.　　　　　　　　　　　　　　　　　 B.　 Husband and wife.　　　　　

C.　 Teacher and student.　　　　　　　　　　　　　　　　　 D.　 Shop assistant and customer.　　　

4.　　　 A.　 Weather.　　　　　　 B.　 Animals.　　　　　　　 C.　 Clothes.　　　　　　　　　　 D.　 Appearance.

5.　　　 A.　 He knew where the laptop was.　

B.　 He saw someone else take the laptop away.

C.　 The woman didn’t take good care of her laptop.

D.　 Actually, the woman didn’t put the laptop on the chair.

6.　　　 A.　 Read the books.　　　　　　　　　　　　　　 B.　 Go to buy the books in the shop.

C.　 Go to his grandpa for some books.　　　　　　 D. 　 Search for the books on the Internet.

7.　　　 A.　 Rearranging the furniture.　　　　　　　　　　 B.　　 Finding room for the paintings.

C.　 Hanging some pictures for decoration.　　 D. 　 Painting the walls to match the furniture.

8.　　　 A.　 The alarm didn’t work.　　　　　　　　　　　　　 B. 　 He didn’t hear the alarm.　　　　　　

C.　 He couldn’t fall asleep until morning. D.　　 He didn’t get up after hearing the alarm.

9.　　　 A.　 Disappointed.　　 B. 　 Frightened.　　　　 C. 　 Happy.　　　　　　　 D. 　 Relaxed.　　　

10.　 A.　 He’s going to attend the lecture.　　　　

B.　 He’d rather not go to the lecture.

C.　 He’ll give the lecture on drawing.　　　　　　　

D.　 He doesn’t mind if the woman goes to the lecture.

Section B　 Passages

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

Questions 11 through 13 are based on the following passage.

11.　 A.　　 She wanted Bill to do the housework. 　　

B.　　 She was offered a good job by her neighbour.

C.　　 She was bored with her relaxing life at home.

D.　　 She wanted to help with the family’s finances.

12.　 A.　　 Doing housework.　　　　　　　　　　　　　　　　　　　　

B.　　 Taking good care of her husband.

C.　　 　Reading papers and watching TV.　　　　　　　　　

D.　　 Looking after her neighbour’s children.

13.　 A.　　 Women should have their own careers.

B.　　　 　Neighbours should help each other.

C.　　 　Parents should take good care of their children.

D.　　 　Conflict between husbands and career wives starts easily.

Questions 14 through 16 are based on the following passage.

14.　 A.　　 27.　　　　　　　　　　　 B.　　 65.　　　　　　　　　　　 C.　 67.　　　　　　　　　　　 D. 70.

15.　 A.　　 Slow food.　　　　　 B. Fast food.　　　　　　　　　　 C. Women’s rights.　　　　　 D. Anti-war.

16.　 A.　　 Alice has written some cookbooks.

B.　　 Alice opened a restaurant in France.　　　　　　　　　　　　　　　　　

C.　　 Alice sometimes buys locally-grown food.

D.　　 It was Alice’s keen sense of taste that made her a famous cook.

Section C　 Longer Conversations

Directions: In section C, you will hear two longer conversations. Each conversation will be read twice. After you hear the 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.

Complete the form. Write ONE WORD OR NUMBER for each answer.

Blanks 21 through 24 are based on the following conversation.

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

23．(本题满分18分)本题共有3个小题，第1小题满分6分，第2小题满分6分，第3小题满分6分．

　(其中A、B是常数，)．

　(1)求A、B的值；

　　 (2)求证；

　(3)已知k是正整数，不等式求k的最小值．

黄浦区2009学年度第一学期期末教学质量检测

22．(本题满分16分)本题共有3个小题，第1小题满分5分，第2小题满分6分，第3小题满分5分．

　 某生产旅游纪念品的工厂，拟在2010年度将进行系列促销活动．经市场调查和测算，该纪念品的年销售量x万件与年促销费用t万元之间满足3－x与t+1成反比例．若不搞促销活动，纪念品的年销售量只有1万件．已知工厂2010年生产纪念品的固定投资为3万元，每生产1万件纪念品另外需要投资32万元．当工厂把每件纪念品的售价定为：“年平均每件生产成本的150%”与“年平均每件所占促销费一半”之和时，则当年的产量和销量相等．(利润=收入－生产成本－促销费用)

(1)求出x与t所满足的关系式；

(2)请把该工厂2010年的年利润y万元表示成促销费t万元的函数；

(3)试问：当2010年的促销费投入多少万元时，该工厂的年利润最大？

21．(本题满分16分)本题共有2个小题，第1小题满分8分，第2小题满分8分．

已知a、b是正整数，函数的图像经过点．

(1)求函数f(x)的解析式；

(2)判断函数f(x)在上的单调性，并用单调性定义证明你的结论．

20．(本题满分14分)

19．(本题满分14分)本题共有2个小题，第1小题满分7分，第2小题满分7分．

如图3所示，，M是棱的中点，N是棱的中点．

　(1)求异面直线所成角的正弦值；

(2)求的体积．

18．如图2所示，四棱锥P-ABCD中，底面ABCD是直角梯形，

，且左视图投影平面与平面PAB平行，则下列选项中可能是四棱锥P-ABCD的左视图的是　　　　　　　　 [答](　　 )

17．在空间中，给出下列4个命题(其中表示直线，表示平面)，则正确命题的序号是　　　　　　　　　　　　　　　　　　　　　　　　 [答](　　 )

(1)三个点确定一个平面；

(2)若

(3)在空间中，若角的两边分别平行，则；

(4)若．

　　A．(1)、(2)、(4)．　B．(2)．　 C．(2)、(3)．　 D．(2)、(3)、(4)．

16．定义两种运算的解析式是　　　　　　　　　　　　　　 　　[答](　　 )

A．．　B．．

C．．

D．．