明任意a, b, a < b, 必存在有理x, a < x < b; 必存在理y, a < y < b? - V2EX

明任意a, b, a < b, 必存在有理x, a < x < b; 必存在理y, a < y < b? - V2EX

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这是一个创建于 4558 天前的主题，其中的信息可能已经有所发展或是发生改变。

第 1 条附言 2013-07-04 17:09:34 +08:00

s//怎/

1 条回复 1970-01-01 08:00:00 +08:00

1

kuphrer

2013-07-04 15:20:22 +08:00

1

用戴德金公理：
取b和a的集合差，任取一个x即可，y自己想

用等价的小数表示公理：
截取b与a的小数表示第一个不同的小数位，得到的有理数为x，y自己想

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