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求高手详解此题~~~~

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楼主
发表于 2011-7-18 09:13:53 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式




in the figure above, two rectangles with the same dimensions overlap to from the shaded region. if each rectangle has perimeter 12 and the shaded region has perimeter 3, what is the total length of heavy line segments?


A15
B18
C21
D22
E23
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沙发
 楼主| 发表于 2011-7-18 10:22:34 | 只看该作者
另求解一题~~~~


2.set S consists of n distinct positive integers, none of which is greater than 12. what is the greatest possible value of n if no two integers in S have a common factor greater than 1?

A.4
B.5
C.6
D.7
E.11
板凳
发表于 2011-7-18 23:30:35 | 只看该作者
另求解一题~~~~


2.set S consists of n distinct positive integers, none of which is greater than 12. what is the greatest possible value of n if no two integers in S have a common factor greater than 1?

A.4
B.5
C.6
D.7
E.11
-- by 会员 sonic316 (2011/7/18 10:22:34)


应该选C吧
地板
发表于 2011-7-19 08:03:04 | 只看该作者
另求解一题~~~~


2.set S consists of n distinct positive integers, none of which is greater than 12. what is the greatest possible value of n if no two integers in S have a common factor greater than 1?

A.4
B.5
C.6
D.7
E.11
-- by 会员 sonic316 (2011/7/18 10:22:34)



应该选C吧
-- by 会员 lixiaoqingjy (2011/7/18 23:30:35)



我觉得是B, 5个. 应该是12以内的所有质数, 2,3,5,7,11....1应该不可以, 例如2和1的factor就是2, 也比1大, 所以不符合条件.

另外第一题有图吗??
5#
发表于 2011-7-19 12:56:16 | 只看该作者
另求解一题~~~~


2.set S consists of n distinct positive integers, none of which is greater than 12. what is the greatest possible value of n if no two integers in S have a common factor greater than 1?

A.4
B.5
C.6
D.7
E.11
-- by 会员 sonic316 (2011/7/18 10:22:34)




应该选C吧
-- by 会员 lixiaoqingjy (2011/7/18 23:30:35)




我觉得是B, 5个. 应该是12以内的所有质数, 2,3,5,7,11....1应该不可以, 例如2和1的factor就是2, 也比1大, 所以不符合条件.

另外第一题有图吗??
-- by 会员 我系大P (2011/7/19 8:03:04)

人家说是公约数哦,2和1的公约数是2么?
6#
发表于 2011-7-19 18:55:51 | 只看该作者
ooo.没错, 谢谢提醒了
7#
发表于 2011-7-19 21:31:53 | 只看该作者
楼上何解?common factor应该指公因子吧?2和1的公因子不就是1么?我理解错了?
8#
发表于 2011-7-19 22:42:35 | 只看该作者
1是所有数字的因数。   1是所有数的最小公因数,最大公因数是它本身
公因数也称为公约数
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