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[几何] 圆有关的平面几何题

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libingfx posted 2020-9-1 15:55 |Read mode
01_155428.jpg

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isee posted 2020-9-1 23:13
回复 1# libingfx


    仅从图看,未审题,更像是AN=DM

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kuing posted 2020-9-2 00:03
回复 2# isee

题中也两次将 AD 打成了 AB

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kuing posted 2020-9-2 03:18
QQ截图20200902031803.png
取 `AD`, `BC` 的中点 `E`, `F`,连成如图所示,易证 `QE\perp BC`, `QF\perp AD`,
由此可知 `OEQF` 为平行四边形且 `Q` 为 `\triangle EFG` 的垂心,所以 `GQ\perp EF`,
那么,要证 `AN=DM`,只需证 `GQ\perp OP`,而这……允许我用极点极线来说明吗?

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isee posted 2020-9-2 03:38
回复 4# kuing


巧了,这个自极三角形,正好在那个2020……浅说背景极点极线 中从零开始写过

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kuing posted 2020-9-2 04:25
回复 5# isee

你也成夜喵……

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青青子衿 posted 2020-9-2 15:53
【转发】【平面几何】
568131735.jpg 245213136.jpg

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