23. ---- Your daughter has won the first prize in the contest .What a smart girl she is !

--- .______________ .

A　 It’s nice of you to say so　　　 B .She was really lucky

C .　 No one else could do it　　　 D . Oh ,not really

第一节：单项填空　 (共15 分)

21　 . There are signs ____ restaurants are becoming more and more popular with families.

A .that　　 B.which　　 C .in which　 D　 . whose　

22. He is looking forward to taking　 part in the peace conference ------ in a neutral country next month .

A . holding　　 B . held　 C . to be held　 D .being held

第二节：听第六段材料回答第(6－8)题

6. Why was Paul angry with Jane?

A. She told the others about his salary.　　　 B. She told Mrs. Wallace his salary.

C. She always talks to everybody.

7. Why did Jane tell Mrs. Wallace the news according to her own explanation?

A. Because she thought it doesn't matter.

B. Because she knew everybody would know at last.

C. Because she got too excited and wasn't thinking.

8. What does Paul mean by "Everyone in this town got a big nose"?

A. People in this town have big noses.

B. People in this town are always eager to know about others' things.

C. People don't care about each other.

听第七段材料回答(9－11)题　

9. What is the man reading?

A. A magazine.　　　　　　　 B. A Chinese play.　　　　 C. A newspaper.

10. Where are they going at the weekend?

A. Beijing Theater.　　　　 B. Beihai Park.　　　　　　　 C. Beihai Cinema.

11. What are they going there for?

A. For a visit.　　　　　　 B. To see Beijing Opera.　　　　　　　　　

C. To learn Beijing Opera.

听第八段材料回答(12－14)题

12. Why didn't Mike take an examination yesterday?

A. Because he didn't want to do so.　　 B. Because he got sick.

C. Because he got the examination date wrong.

13. What did the professor permit Mike to do?

A. Have all examination at home.

B. Have an exam sometime later when he got better.

C. Have an exam next term.

14. Why didn't Mike drive his car?

A. Because the doctor told him not to.

B. Because he liked taking a walk.

C. Because he didn't think he was able to.

听第九段材料回答(15－17)题

15. What does Rogers mean in this conversation?

A. Tom's friend.　　　　　 B. Tom's teacher. 　 C. The name of a person.

16. What does Tom tell his mother in yesterday's lecture?

A. He had made a new discovery.　　　　 B. He had lost his new job.　　 C. He had just bought a car.

17. Why does Tom tell his mother about his job?

A. Because he doesn't want her to worry about his job.

B. Because he doesn't want her to worry about his life.

C. Because he doesn't want her to worry about his marriage.

听第十段材料回答(18－20)题　

18.　 Where did the fire probably start?

A. On the first floor.　 B. On the second floor. C. On the third floor.

19. When was the building built?

A. In 1930.　　　　　　　　　 B. In 1782.　　　　　　　　　　 C. In 1718.

20. What was the building used as at the time of the fire?

　　　　 A. A history museum. 　 B. A hotel.　　　　　　　　 C. The old people's home.

第一节听下面五段对话选择最佳选项

1. What's the most probable relationship between the two speakers?　

A. They are host and guest.　 B. They are waiter and customer.　　　　　

C. They are husband and wife.

2. Where did this conversation take place?

A. At the hospital.　　　　 B. At the airport.　　　　 C. At the post office.

3. Why will the woman go to London?

A. To have a look at London.　　　　　　　　　 B. To go with her friend.　　　　　　　　　

C. To spend the weekend.

4. What's the woman's job?

A. She is a saleswoman. 　　　 B. She is a waitress. 　　　 C. She is a hotel clerk.

5. How is the weather now?

A. It's snowing.　　　　　　 B.　 It's raining.　　　　　　　　 C.　 It's clear.

22、甲、乙两人各射击一次，击中目标的概率分别是和，假设两人射击是否击中目标，相互之间没有影响，每次射击是否击中目标，相互之间没有影响．　

(1)求甲射击4次，至少1次未击中目标的概率；

(2)求两人各射击4次，甲恰好击中目标2次且乙恰好击中目标3次的概率；

(3)假设某人连续2次未击中目标，则停止射击，问乙恰好射击5次后，被中止射击的概率是多少?

21、(12分)如图，正三棱柱的所有棱长都为2，D为中点.

(1)求证：平面；

(2)求二面角的大小；　

(3)求点C到平面的距离.

20、(12分)甲、乙、丙三人参加了一家公司招聘面试，甲表示只要面试合格就签约，乙、丙则约定两人面试都合格就一同签约，否则两人都不签约，设每人面试合格的概率都是，且面试是否合格互不影响.

(1)求甲、乙、丙三人中至少有一人面试合格的概率；　

(2)求签约人数为1人的概率.

18、(12分)(1)甲、乙、丙、丁四名同学排成一排，分别计算下列条件的排法种数(写出表达式并计算出结果).

①甲不在排头，乙不在排尾；　

②甲一定在乙右端.

(2)8个人分配到4辆车上工作，每车两人，按下列要求有多少种不同的分配方法？(写出表达式).

①若车不相同，车上工种不同；

②若车相同，车上工种相同. 　　

19(12分)、已知正方体的棱长为1，点M是棱的中点，点O是对角线的中点.

(1)求证：OM是异面直线和的公垂线；　

(2)求二面角的大小；

(3)求三棱锥的体积.

17、(12分)(1)在四面体中，，D为BC的中点，E为AD的中点，用表示出.　

(2)已知，，求以、为邻边的平行四边形的面积.

16、如图所示，在正方体中，M、N分别是棱AB、的中点，的顶点P在棱CC₁与棱C₁D₁上运动，有以下四个命题：

①平面；②平面平面；③在底面ABCD上的射影图形的面积为定值；④在侧面上的射影图形是三角形.

其中正确命题的序号是　　　　　　 .