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8.About 80 percent of the students in our school_____ been working on the program and about two-thirds of the work _____been finished.

     A.have; has         B.has; have,       C.have; have      D.has; has

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7.Some people feel easy and comfortable to be served by others but when they are asked to serve others ______, they are unwilling or even hate to do so.

     A.in turn          B.in their turns      C.in their turn     D.by their turn

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6.A story goes ______ Elizabeth I of England liked nothing more than being surrounded by clever and qualified noblemen at court.

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

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5.______what many people thought, the graduate came here not to ______ fame or money but the true value of life.

     A.On the contrary with; look for           B.To the contrary of; hunt for

     C.Opposite to; search                     D.Contrary to; seek

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4.Sarah hopes to become a friend of ______ shares her interests.

     A.anyone                                B.whomever       

     C.whoever                               D.no matter who

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3.Once one’s desire ______ reason, trouble is sure to follow.

     A.overcomes       B.is overcome by    C.gets rid of        D.is rid of

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2.The other day, my brother drove his car down the street at _____ I thought was a dangerous speed.

     A.as          B.which          C.what        D.that

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1.When I was talking to her about her table manners, she stared at me as if listening to me attentively but I could see her mind ______somewhere else.

     A.wondering       B.wandering        C.walking           D.thinking of

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19.(本小题10分)“雪花曲线”因其形状类似雪花而得名,它可以以下列方式产生,如图,有一列曲线,已知是边长为1的等边三角形,是对进行如下操作得到:将的每条边三等分,以每边中间部分的线段为边,向外作等边三角形,再将中间部分的线段去掉().

  (1)记曲线的边长和边数分别为(),求的表达式;

  (2)记为曲线所围成图形的面积,写出的递推关系式,并求

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18.(本小题10分)已知的重心,过点的直线分别交于两点.

  (1)用表示

  (2)若试问是否为定值,

证明你的结论.

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