第二节(共15小题；每小题l.5分，满分22.5分)

听第6段材料，回答第6至8题。

6. Who is probably Jack?

　 A. Mark' s classmate.　　　　 　B. Mark's basketball team member.

　 C. Mark' s football team member.

7. When will they have a match?

　 A. At 10:04 am.　　 B. At 3:50 pm.　　 C. At 4:10 pm,

8, What' s Jack' s phone number?

　 A. 8655087.　　　 B. 8655078.　　 C. 8566078.

听第7段材料，回答第9互11题。

　9. Which match does the man want to watch?

　　 A. Women' s basketball match between China and Japan.

　　 B. Women's volleyball match between China and the USA.

　　 C. Women's volleyball match between China and Japan.

10. Why doesn't the man book the seats in the front?

　　 A. They cost too much.　 　B. They are too close.

　　 C. They have been sold out.

听第8段，回答第12至14题

12.What does Lucy think of the school?

A. She likes it　 　　　　B. She thinks it is too old

　 C. She doesn't like it at all

13. How many courses will they take this term?

　　 A. 10.　　　　　　 B. 11.　 　　　　C.12.

14. What is the probable relationship between the two speakers？

　 A. Classmates　 　　　B. Close friends.

　 C. 　Teacher and student

听第9段材料，回答15至17题

15. How long have Paul' s parents been in China?

　 A. Three days.　　　　 B. Twenty-one days.

　 C. Three months.　　　　　

16. Why do Paul's parents want to go home?

　A. They miss their grandchildren　 　B. They don't like living here.

　 C. They have to attend a meeting　　　

17. Whose family has 5 children?　　　　　

　 A. Paul's　　　　 B. Linda's　　　 C. Bob's

听第10段，回答18至20题

18.Who will meet Mr. Li in the hall?

　 　A. The leader.　　 B. The guide.　　 C. A visitor.

19. What's the mountain famous for?

　 A. Its shape　　 B. Its clouds.　　 C. Its waterfall.

20. When will Mr. Li leave the city?

　A. At 5:00 pm　　　 B. At 5:30 pm　 　　C.At7:00 pm

第一节(共5小题；每小题l.5分，满分7.5分)

听对话，选择正确答案。　　

1. What can we know about Rose's grandmother ?

　 A. She' s dead.　 　　　B. She’s working in the field.

　 C. She' s living in the countryside.

2. What's wrong with Tom?

　A. He' s ill.　　　 B. He lost his pen　　 C. He lost his way.

3. When does the conversation most probably take place?

　 A, At about three o' clock.　 　B. At about seven o'clock.

　 C. At about ten o' dock.

4. What does the woman mean?

　 　A. She thinks the girl is blind.　　 　B. She doesn't think the girl is blind.

　 C. She thanks the man for helping the girl.

5. Where is the conversation most probably taking place?

　 A. On a plane.　　　　 B. In a bus station.

　 C. At an airport.

22、(14分)已知函数f(x)=x³－ax－1

　(1)若f(x)在实数集R上单调递增，求实数a的取值范围；

　(2)是否存在实数a，使f(x)在(－1,1)上单调递减？若存在，求出a的取值范围，若不存在，说明理由；

　(3)证明f(x)=x³－ax－1的图象不可能总在直线y=a的上方。

山东省新泰一中北校09-10学年高二下学期4月检测

21、(12分)曲线y=e^x(x<0)在点M(t,e^t)处的切线为l，l与x轴、y轴所围成的三角形面积为S(t)。

(1)求切线l的方程；

(2)求S(t)的最大值

20、(12分)某工厂生产某种产品，已知该产品的月生产量x(吨)与每吨产品的价格P(元/吨)之间的关系式为P=24200－x²，且生产x吨的成本为R=50000+200x(元)。问该工厂每月生产多少吨产品才能使利润达到最大？最大利润是多少？(利润=收入－成本)

19、(12分)设函数f(x)=x³－6x+5,x∈R。

(1)求函数f(x)的单调区间和极值

(2)若关于x的方程f(x)=a有三个不同实根，求实数a的取值范围

(3)已知x∈(1, +∞)当时，f(x)≥k(x－1)恒成立，求实数k的取值范围

18、(12分)求y²=2x与直线y=x－4所围成图形的面积。

17、(12分)求下列函数的导数

(1)y=；(2)y=5log₂(2x+1)

14、设函数f(x)=ax²+c(a≠0)。若，0≤x₀≤1，则x₀的值为 　　　　　。

15、已知f(x)=x³+3x²+a(a为常数)在[－3,3]上有最小值3，那么在[－3,3]上f(x)的最大值是　　　　　 。