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[几何] 共线

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乌贼 Posted 2014-5-20 01:35 |Read mode
转东方论坛:bbs.cnool.net/cthread-105114670.html
以$\triangle ABC$的内心$I$为顶点,作一个直角,交内切圆平行于底边$BC$的切线于$E、F$,直线$IE、IF$交$\odot AEF$于另两点$E'、F'$。求证:$E'、F'$与外心$O$三点共线。
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isee Posted 2014-5-20 09:58
叶中豪当今竞赛平面几何大师,他编的玩意,肯定难驯服,何况原链接都搬出反演变换了……

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其妙 Posted 2014-5-20 16:45
回复 2# isee
让潘成华老师来做做,据说他喜欢原创平面几何题。

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 Author| 乌贼 Posted 2014-5-22 02:00
百度反演,不懂

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