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[几何] ARCP 是圆内接四边形。用纯几何方法证明一个比例式

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TSC999 Posted 2021-9-6 20:31 |Read mode
下图中,ARCP 是圆内接四边形。用纯几何方法证明一个比例式:
证明比例式.png

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乌贼 Posted 2021-9-6 20:49
哈哈,刚撒网就有鱼  见forum.php?mod=viewthread&tid=5555&extra=page=1中10楼
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色k Posted 2021-9-6 20:52
$ \triangle QPC\sim \triangle QAR $

$ \triangle BPC\sim \triangle BRA $

$ \riff QA:QP=AR:PC=BR:BP $

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 Author| TSC999 Posted 2021-9-7 10:39
Last edited by TSC999 2021-9-7 11:44回复 3# 色k


    由这两个相似三角形并不能推出 QA/QP=BR/BP

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色k Posted 2021-9-7 11:05
回复 4# TSC999

???怎么不能?我都已经写出来了啊

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 Author| TSC999 Posted 2021-9-7 11:45
回复 5# 色k


    你是对的。是我看错了。

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