第一节:单项填空(共15小题;每小题1分,满分15分)
21.-Would you mind giving your advice on how to improve our business management?
-If you make ______ most of the equipment, there will be ______ rise in production.
A.不填;不填 B.the;a C.不填;a D.the;不填
第二节(共15小题; 每小题1.5分,满分22.5分)
请听第6段材料,回答第6至7题。
6.What might be the relationship between the two speakers?
A.Workmates. B.Friends. C.Mother and son.
7.What are they talking about?
A.The man's major in college.
B.The man's favorite subjects.
C.The man's future job.
请听第7段材料,回答第8至9题。
8.Who is the woman complaining about?
A.Her boss.
B.Her husband.
C.Her friend.
9.What is the man's advice?
A.Finishing her job earlier.
B.Leaving the task to others.
C.Asking others for help.
请听第8段材料,回答第10至11题。
10.What happened to the woman?
A.She couldn't cross a busy street.
B.She got into a moving taxi.
C.She got hurt by a taxi.
11.Where are the two speakers?
A.In the hospital. B.In the street. C.In a police station.
请听第9段材料,回答第12至14题。
12.What does the man want to find out?
A.The cost of taking a taxi.
B.The nearest bus stop.
C.How to get to a hotel.
13.How many possibilities does the woman suggest?
A.2. B.3. C.4.
14.What is the man's final decision?
A.Checking the schedule.
B.Waiting for another bus.
C.Taking a taxi.
请听第10段材料,回答第15至17题。
15.Where does the conversation most probably take place?
A.On a plane. B.On a train. C.In a restaurant.
16.Why is the man worried?
A.This is his first time abroad.
B.He cannot arrive on time.
C.He has never seen his grandson.
17.When did the man first see Europe?
A.Recently.
B.After his wife' s death.
C.During the Second World War.
请听第11段材料,回答第18至20题。
18.What is the talk mainly about?
A.Improving our memory.
B.Taking care of our health.
C.Collecting information.
19.What should we do to remember someone's name?
A.Write it down on a piece of paper.
B.Pay more attention to his or her first name.
C.Remember his or her last name.
20.What does the speaker suggest to us?
A.Having a rest for twenty minutes.
B.Taking some Vitamin B1 and B2 .
C.Doing sports during the break.
第一节(共5小题;每小题1.5分,满分7.5分)
请听下面5段对话,选出最佳选项。
1.Where is the man's bike now?
A.Under the stairs. B.At the gate. C.In the garden.
2.What does the man mean?
A.He doesn't like the hotel.
B.They can't afford to stay at the hotel.
C.They do not want to stay at a hotel.
3.What time is the woman leaving?
A.At 4:30. B.At 4:00. C.At 3:30.
4.What does the man think of Mr.Stone's lessons?
A.Boring. B.Helpful. C.Unnecessary.
5.What is the woman doing?
A.Offering suggestions.
B.Expressing dissatisfaction.
C.Asking for help.
21.(本题满分13分)
已知函数的图象关于原点对称.
(1)写出的解析式;
(2)若函数为奇函数,试确定实数m的值;
(3)当时,总有成立,求实数n的取值范围.
20.(本题满分13分)
已知函数f(x)=alnx―ax―3(a∈R).
(1)求函数f(x)的单调区间;
(2)若函数y=f(x)的图象在点(2,f(2))处的切线的倾斜角为45°,对于任意t∈[1,2],
函数g(x)=x3+x2[f′(x)+]在区间(t,3)上总不是单调函数,求m的取值范围.
19.(本小题满分13分)
如图所示,四棱锥中,是矩形,三角形PAD为等腰直角三角形,面面,分别为和的中点。
(1)求证:∥平面;
(2)证明:平面平面;
(3)求四棱锥的体积。 ]
18.(本题满分12分)
某分公司经销某种品牌产品,每件产品的成本为3元,并且每件产品需向总公司交元()的管理费,预计当每件产品的售价为元()时,一年的销售量为万件.
(1)求分公司一年的利润L(万元)与每件产品的售价x的函数关系式;
(2)当每件产品的售价为多少元时,分公司一年的利润L最大,并求出L的最大值.
17.设表示幂函数在上是增函数的的集合;表示不等式对任意恒成立的的集合.
求;(2)试写出一个解集为的不等式.
16.(本小题满分12分)
设二次函数在上有最大值4,求实数a的值。
15.设函数,给出下列四个命题:①函数为偶函数;②若 其中,则;③函数在上为单调增函数;④若,则。则正确命题的序号是 。
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