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[几何] 内心连线的极限

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hbghlyj posted 2023-3-24 22:22 |Read mode
线段$AB,CD$和直线$L$交于$O$.
点$E$在$L$上运动.
$E$在$AB,CD$上的投影为$E_1,E_2$.
如何证明:
当$E$趋于$O$时,$△ABE,△CDE$的内心连线与$E_1E_2$重合
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