作者hiei81 (宝贝。永远)
看板IMO_Taiwan
标题Re: [问题] 有趣的组合几何
时间Tue Sep 21 22:22:36 2004
※ 引述《darkseer (公假中)》之铭言：
: 同样上次那个印度朋友(Syed Imam, chaogold好像跟他更熟)给我的
: Let k be a arbitrary real numbers. Prove that the following statement is
: true for sufficiently large integer n:
: Let a_1, a_2, ..., a_n be n points lying in a circle of radius kn. There
: are two integers 1<=i<j<=n such that the distance of a_i and a_j are smaller
: than sqrt(j-i).
这是只要考虑正n边形的边长(极端情形)还是我想错了?:)
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 140.112.18.71
1F：推 darkseer:喔..那n个点在圆内而非圆上.. 220.143.125.183 09/22
2F：推 LimSinE:那就尽可能靠近圆周... 61.70.211.116 09/28
3F：推 darkseer:那n个点是任意的,要证下面命题必然成立 140.117.35.50 09/29
4F：→ darkseer:sorry没讲清楚 140.117.35.50 09/29