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[几何] 蝴蝶定理 2道练习题

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hbghlyj posted 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 2004042249cecbd6fa70d291a9.png
  • PT,PB是圆的两条切线,AB是直径,TH$\bot$AB,求证:AP平分TH 2004042252e4fee942d6fdcf2b.png

怎么用“蝴蝶定理”做?

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original poster hbghlyj posted 2024-3-3 21:59
1. 出現於 math.stackexchange.com/questions/1850069/prov … center-and-mid-point
但没發現和蝴蝶定理有什麼聯繫

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