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
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
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
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
4.Sarah hopes to become a friend of ______ shares her interests.
A.anyone B.whomever
C.whoever D.no matter who
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
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
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
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和(),求和的表达式;
(2)记为曲线所围成图形的面积,写出与的递推关系式,并求.
18.(本小题10分)已知点是的重心,过点的直线与分别交于两点.
(1)用表示;
(2)若试问是否为定值,
证明你的结论.
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