8. -Why is your English so good, Amy?
-Well, my uncle gives me a hand at home, for he __________ in Australia for ten years.
A. has lived B. lived C. had lived D. has been living
7. -Excuse me, but I want to borrow your digital camera for my holiday.
-You _____have my camera unless you take care of it.
A. might not B. shan’t C. needn’t D. shouldn’t
6. The leader, __________ the rule unfair for women, suggested it __________.
A. finding; banned B. to find; banned
C. found; to be banned D. finding; be banned
5. There is an obvious __________between the cultures of the West and the East.
A. contract B. contrast C. content D. contact
4. -Jack, how did it __________ that you made so many mistakes in your homework?
-I myself haven't figured it out yet.
A. occur to B. come about C. bring about D. break out
3. - Do you think all the exercises in the book are good?
- __________of them are very good. But some could have been better.
A. None B. Most C. Few D. Rest
2. As we all know, __________ medical examination will help us find out health problems as early as possible.
A. regular B. general C. common D. normal
第一节:单项填空(共 15 小题;每小题 1 分,满分 15 分)
从A、B、C、D四个选项中,选出可以填入空白处的最佳选项。 例: Stand over there __________ you’ll be able to see it better.
A. or B. and C. but D. while
答案是B。
1. Many people have come to realize that they should go on __________ balanced diet and make __________ room in their day for exercise.
A. /; a B. the; a C. the; the D. a; /
20.(本小题满分13分)
对于各项均为整数的数列,如果满足()为完全平方数,则称数列具有“性质”;
不论数列是否具有“性质”,如果存在与不是同一数列的,且同时满足下面两个条件:①是的一个排列;②数列具有“性质”,则称数列具有“变换性质”.
(Ⅰ)设数列的前项和,证明数列具有“性质”;
(Ⅱ)试判断数列和数列是否具有“变换性质”,具有此性质的数列请写出相应的数列,不具此性质的说明理由;
(Ⅲ)对于有限项数列,某人已经验证当()时,数列具有“变换性质”,试证明:当时,数列也具有“变换性质”.
19.(本小题满分14分)
已知函数,其中.
(Ⅰ)求函数的零点;
(Ⅱ)讨论在区间上的单调性;
(Ⅲ)在区间上,是否存在最小值?若存在,求出最小值;若不存在,请说明理由.
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