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[几何] 证明角为直角

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力工 Posted 2025-5-27 17:04 |Read mode
觅好证法,求些变化(觉得这个题可以变化)
已知$\triangle ABC$的$BC$边上的高、角$A$的角平分线、$BC$边上的中线恰好四等分$\angle A$,求证:$A=90\du$.

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我用的偏代数,相当于解三角形,但倍长中线,发现误证了。  Posted 2025-5-27 17:07

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1+1=? Posted 2025-5-27 18:00 From mobile phone
注意到直角三角形,底边高线和中线为直角的等角线 ,垂足和中点关于直角等角共轭

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高!观点太高了  Posted 2025-5-27 18:32

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色k Posted 2025-5-27 21:56
这名字我喜欢

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