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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

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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

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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

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5. There is an obvious __________between the cultures of the West and the East.

   A. contract        B. contrast          C. content         D. contact

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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

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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

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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

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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; /

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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”.

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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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