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[几何] 蝴蝶定理 2道练习题

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hbghlyj Post time 2024-3-3 21:50 |Read mode

Brilliant wiki的词条butterfly-theorem下面的Practice Problems

$\triangle ABC$内切圆I切BC于X，A'是BC中点，求证：A'I平分AX
PT,PB是圆的两条切线，AB是直径，TH$\bot$AB，求证：AP平分TH

怎么用“蝴蝶定理”做？

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Author| hbghlyj Post time 2024-3-3 21:59

1. 出現於 math.stackexchange.com/questions/1850069/prove-on-incenter-and-mid-point
但没發現和蝴蝶定理有什麼聯繫

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