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标题: 求助? [打印本页]

作者: wujie_rens    时间: 2006-1-21 07:38     标题: 求助?

If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10?

(1) on the number line, z is closer to 10 than it is to x

(2) z = 5x

我选E错了,但是不知道怎么错的,请大家帮帮忙!


作者: freesimens    时间: 2006-1-21 18:23

答案是B

根据题目,可以得出0<x<10,结合条件二,Z=5X,那么得出0〈X〈2,根据题目,可以得出X=1

根据求的问题,可以充分否定回答。


作者: meimei5656    时间: 2006-1-22 13:50

From (1), the arithmetic mean point of X and 10 sits at the middle of the segment from X to 10.

If Z sits between X and 10 and it is nearer to 10 than to X.

Then it can be concluded that Z>1/2(X+10).

If Z sits right to 10, definitely it is greater than 1/2(x+10).

So (1) alone is sufficient.

From (2), [Z-1/2(x+10)]=[5x-1/2(x+10)]=[(9x-10)/2], the result depends on value of X. So (2) alone is not sufficient.

I think A is correct.






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