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标题: 数学几何体求解 [打印本页]

作者: wuli倩宝    时间: 2016-7-3 16:35
标题: 数学几何体求解
A triple of positive integers is defined to be a Pythagorean triple if and only if the sum of squares of the two of them equals the square of the third. If triangle S has sides whose lengths form a Pythagorean triple and triangle R has sides whose lengths are integers, do the side lengths of triangle R form a Pythagorean triple?

1. R has area which is a multiple of the area of S.

2. R and S are similar triangles.




题目我看的不是很懂,有没有大神给讲解一下。谢谢啦

作者: xuhanglovegmat    时间: 2016-7-3 17:11
第一个不充分,第二个充分,题目是说S的边来自一个勾股三角形,问R的边也来自勾股三角形吗?
1说面积R是S的倍数,不一定,边可以是很多种情况,可以来自普通三角形;
2说两个三角形相似,那么R也来自勾股三角形
作者: wuli倩宝    时间: 2016-7-3 18:18
xuhanglovegmat 发表于 2016-7-3 17:11
第一个不充分,第二个充分,题目是说S的边来自一个勾股三角形,问R的边也来自勾股三角形吗?
1说面积R是S的 ...

懂了!谢谢翻译!





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