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[几何] 三内切圆问题

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hejoseph Posted 2017-4-21 09:44 |Read mode

Last edited by hejoseph 2017-4-21 12:20

三角形内有三个等圆，它们两两外切，且都与三角形一边相切，三角形已知，什么时候圆最大最小？

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游客 Posted 2017-4-23 12:52

考虑倒过来做怎么样？

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Author| hejoseph Posted 2017-4-24 11:18

什么方法都可以，得到结论就行。

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郝酒 Posted 2017-4-27 09:03

不好做，用解析的方法也走不通。
何版有解答吗？

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Author| hejoseph Posted 2017-4-28 11:42

三线共点时最小

有一边与其中两圆都相切时最大，计算下就行

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isee Posted 2017-4-28 18:03

回复 5# hejoseph

真美的结论

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hbghlyj Posted 2021-6-1 15:29

求详细证明

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