作者hiei81 (寶貝。永遠)
看板IMO_Taiwan
標題Re: [問題] 有趣的組合幾何
時間Tue Sep 21 22:22:36 2004
※ 引述《darkseer (公假中)》之銘言：
: 同樣上次那個印度朋友(Syed Imam, chaogold好像跟他更熟)給我的
: 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).
這是只要考慮正n邊形的邊長(極端情形)還是我想錯了?:)
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◆ From: 140.112.18.71
1F：推 darkseer:喔..那n個點在圓內而非圓上.. 220.143.125.183 09/22
2F：推 LimSinE:那就盡可能靠近圓周... 61.70.211.116 09/28
3F：推 darkseer:那n個點是任意的,要證下面命題必然成立 140.117.35.50 09/29
4F：→ darkseer:sorry沒講清楚 140.117.35.50 09/29