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[几何] 西部赛第一天第二题

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hbghlyj posted 2019-8-13 15:59 |Read mode
在锐角$\triangle ABC$中,AB>AC,点O,H分别为其外心和垂心,点M为BC中点,设AM延长线交$\triangle BHC$外接圆于K,直线HK交BC于N,证明:若$\angle BAM=\angle CAN$,则$AN \bot OH$
QQ图片20190806003151.png
下面是我作的精确图。
$type 2019西部2.ggb (20.7 KB, Downloads: 3585)

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original poster hbghlyj posted 2019-8-13 16:00
目前主要有两种作法了

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