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[几何] 边长为1的正方形内有n个点

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realnumber posted 2018-7-4 20:08 |Read mode
边长为1的正方形内有n个点,如何放置这些点,使得两两之间的距离的最小值达到最大。

比如n=2时,答案是根号2,为方便记为$2^{0.5}$

n=3时,答案是$6^{0.5}-2^{0.5}$

n=4时,答案是1

n=5时,答案是$0.5^{0.5}$

n=6,7时,?,如果还要求写出推理过程?

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