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[几何] A,B 是圆的对径点,CE,DE 是切线,BE 交圆于 F,BD,AC 交于 G,求证:FA 平分 ∠DFG

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zhiwen Post time 2023-11-5 22:19 |Read mode
214137sbgu9khyzfzyyhyy.png
如图,A,B为对径点, CE,DE圆O的切线
BD AC交于点G, BE交圆于点F

求证:∠DEG=2∠AFG(等价于FA平分∠DFG)
尽量用纯几何,谢谢

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