第一节:语法和词汇知识(共15小题,每小题1分.满分15分) 21. It’s clear that little money he earns can hardly suppor——青夏教育精英家教网—

第一节：语法和词汇知识(共15小题；每小题1分，满分15分)

21. It’s clear that ________ little money he earns can hardly support ________ family as large as his.

A．the; a　　　 B．a; the C．不填；a　 D．不填；the

22. Children who have problems connecting letters with sounds or understanding what they read may be showing ______ of learning disabilities.

A. signs　　　　　 B. examples　　　　　 C. symbols　　　　　　 D. marks

23. Was it in the garden ______ we used to work in ______ the famous actors and actresses had a picnic?

A. that; where　 B. which; that　　 C. where; that　　 D. which; where

24. She went to the bookstore and bought ___________.

A. dozen of books　　　　　　　　　　 B. several dozens books

C. several dozens of books　　　　　 D. several dozen books

25. ----Henry has been teaching English in Beijing University for many years.

----It’s no ______ he can speak Chinese so well and idiomatically.

A. matter　　　　 B. doubt　　　　 C. problem　　　　　　 D. wonder

26. What will happen to the child if Jim and Mary ________?

A. break down　　　　　　　B. break up　　　　　 C. break out　　　　　 D. break off

27. It was _________ to be chosen as a torch bearer that he would never forget it.

A. so great honor　 B. such great honor　 C. so great an honor　 D. such great an honor

28. He is a nice neighbor. He often helps us with garden work and is good at speech. ________ he is quite kind with people.

A. After all　　　　　　 B. Above all　　　　　 C. First of all　　　　 D. In all

29. The thief ran away when the burglar alarm ________.

A. went up　　　　　　 B. went off　　　　　　 C. went out　　　　　　 D. went away

30. Most people think it acceptable to call others by their first name, but some consider it ________ to use first names without being invited to do so.

A. proper　　　　　　 B. properly　　 C. improper　　　　　 D. improperly

31. ________ I could remember, I did return him the money.

A. As far as　　 B. As long as　　 C. As good as　　　 D. As well as

32. Tom felt shocked when he saw his Aunty Polly standing in his room with her arms _______.

A. cross　　　　　 B. crossing　　　　　　 C. crossed　　　　　　　 D. to cross

33. The train goes at 8 o’clock. I’m afraid I can’t ________.

A. make it　　　　　　 B. take it　　　　 C. reach for it　　　　 D. catch up with it

34. I absolutely loved the film Angry Sky. The part _______ the hero returns home had me in floods of tears.

A. that　　　　　 B. which　　　　 C. where　　　　 D. when

35. However hard I tried to think about it, what he said didn’t really __________to me.

A. figure out　　　　 B. make out　　 C. turn out　　　 D. get across

21. (本题满分14分)

已知函数f(x)=x²+bsinx-2，(b∈R), F(x)=f(x)+2, 且对于任意实数x,恒有F(x-5)=F(5-x).

(1)求函数f(x)的解析式;

(2)已知函数g(x)=f(x)+2(x+1)+alnx在区间(0,1)上单调, 求实数a的取值范围;

(3)函数有几个零点?

解：(1)由题设得：F(x)=x²+bsinx，

∵F(x-5)=F(5-x)，　　　　　

∴F(-x)=F(x)

∴x²-bsinx=x²+bsinx，

∴bsinx=0对于任意实数x都成立，∴b=0

∴f(x)=x²-2.

　　　　 (2) 由g(x)=f(x)+2(x+1)+alnx=x²+2x+alnx,

　　　　　得,

　　　　　 g(x)在(0,1)上恒单调,只需在(0,1)上恒成立. 　　　　　

　　　　　即　 2x²+2x+a≥0或2x²+2x+a≤0在(0,1)上恒成立.

∴a≥-(2x²+2x)或a≤-(2x²+2x)在(0,1)上恒成立.

　　　　　设u(x)=-(2x²+2x), x∈(0,1),易知:u(x)∈(-4,0),

∴a≥0或a≤-4.

　　　　 (3) 令,

　　令,列表如下:

x		-1	(-1,0)	0	(0,1)	1
	+	0	-	0	+	0	-
y	增		减		增		减

∴当k>时,无零点;

当k<1或k=时,有两个零点; 　　　　　

当k=1时,有三个零点;

当时,有四个零点.

20. (本题满分14分)已知函数.

(Ⅰ)若，求在上的最大值与最小值；

(Ⅱ)设函数的图像关于原点对称，在点处的切线为，与函数的图像交于另一点.若在轴上的射影分别为、，，求的值.

(Ⅰ)若，

x	-2	(-2，-1)	-1	(-1，2)	2	(2，4)	4
		+		-		+
y	-1	增		减	-9	增	17

最大值为最小值为　　　　　

19.(本题满分13分)为应对国际金融危机对企业带来的不良影响，2009年某企业实行裁员增效，已知现有员工a人，每人每年可创纯利润1万元。据评估，在生产条件不变的条件下，每裁员1人，则留岗员工每人每年可多创收0.01万元，但每年需付给下岗工人0.4万元生活费，并且企业正常运行所需人数不得少于现有员工的，设该企业裁员x人后纯收益为y万元.