6. What does the man finally decide to do?

　 A. To entertain himself.　　 B. To go to the nightclub.　 C. To go out for a walk.

Conversation4

5. What is the man complaining about?

　 A. The entrance charge for the nightclub is too high.

　 B. He is not allowed into the nightclub free.

　 C. They don’t save tickets for the residents.

4. Which of the following is right according to the conversation?

　 A. Both of them have a lot of money.　　 B. The woman has a lot of money.

　 C. Neither has a lot of money.

Conversation3

3. Where will the man probably go for a holiday?

A. America or China.　　 B. America or Japan.　 C. Japan or China.

2. What do we know about the man?

A. He is manager.　 B. He is a new comer.　　 C. He is late for work.

Conversation2

1. Where does the conversation probably take place?

A.　　 In a supermarket.　 B. In an office.　 C. In a railway station.

21、已知正项数列的前和为，且是与的等比中项。

(1)求证：数列是等差数列；

(2)若，数列的前项和为，求；

(3)在(2)的条件下，是否存在常数，使得数列为等比数列？若存在，试求出；若不存在，说明理由。(满分13分)

20、甲、乙两物体分别从相距的两处同时相向运动，甲第一分钟走，以后每分钟比前一分钟多走；乙每分钟走。

(1)甲、乙开始运动后几分钟相遇；

(2)如果甲、乙相遇后继续向前运动，到达对方起点后立即折返，甲还是每分钟比前一分钟多走，乙还是每分钟走。问从开始运动多少分钟后它们第二次相遇。(满分13分)

19、已知函数有极大值9。

(1)求的值；

(2)若斜率为的直线是曲线的切线，求此直线方程。(满分13分)

18、已知幂函数。

(1)试求该函数的定义域，并指明该函数在其定义域上的单调性；

(2)若该函数还经过点，求的值并求满足条件的实数的取值范围。(满分12分)