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标题: 6 年级数学题 [打印本页]

作者: Xiangdang 时间: 2009-3-24 07:50
标题: 6 年级数学题

Can you find the number of ordered positive integers (x,y) so that

1/x + 1/y = 1/2007

Good luck.

作者: buxiang 时间: 2009-3-24 08:13
标题: Solutions are not unique

For example, (3600, 10800), (2800, 75600), ... .

作者: Xiangdang 时间: 2009-3-24 16:47
标题: Read the problem!

Yes, find all the pairs (x,y)'s.

作者: ...... 时间: 2009-3-25 03:19
标题: 回复：6 年级数学题

好长的焦距.

作者: 学生 时间: 2009-3-25 04:29
标题: 看错了吧

看错了吧。题中是２００７，不是２７００。

作者: 学生 时间: 2009-3-25 04:42
标题: 回复：6 年级数学题

Three solutions: (2008, 4030056), (2016, 449568), (2088, 51736).

作者: Xiangdang 时间: 2009-3-25 06:28
标题: More, more

You only found three of the multiple possible solutions. The problem asks you to find them all or just say how many pairs of positive integers(x,y) can be the solution. Just give me a number, that's it.

作者: idiot94 时间: 2009-3-25 08:52
标题: it seems too hard for a 6 grade problem...

I do not know... since it is for 6 grades, let me take a wild guess then, is it 6+1=7?

作者: HF: 时间: 2009-3-25 19:30
标题: 回复：More, more

8 -- if the 6th grader knows a little bit programming.

作者: Xiangdang 时间: 2009-3-27 02:16
标题: 回复：it seems too hard for a 6 grade problem...

It was a 6 grader math contest problem in the US. Who said US kids don't know math!

作者: 山里来的孩子 时间: 2009-4-3 16:30
标题: 回复：there are definitely more than 8 pairs...

I got 27 on a spreadsheet format. But it does not cover all just yet.

I have to admit that I have no clue on some of contest questions my son brought home from his school. US schools are more like a free world too. You can take very hard courses, you can also just kill your time there by doing almost nothing. If we compare average scores, yes you can say the kids here are not as good as in China in terms of math, sciences, etc.. But if you compare top students, you will be surprised.

作者: 85 时间: 2009-5-26 06:51
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作者: 周心宇 时间: 2009-8-4 21:33
标题: 共14组自然数可满足条件。

发答案太琐碎，稿子在岸书桌上。

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