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[几何] 三角形ACB,ACD的内心,旁心对合

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hbghlyj posted 2023-3-3 01:28 |Read mode

Last edited by hbghlyj 2025-5-18 00:12325.给定凸四邊形ABCD. 設L,J分别為三角形ABC的内心,A-旁心. 設K,L分别為三角形ACD的内心,A-旁心. 則IL,JK與BCD的角平分線共點.

Asymptote作图(关于geometry模块, 参考了此帖)

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original poster hbghlyj posted 2025-5-18 00:11

设所共之点为X
只需证CX,CA; CI,CK; CJ,CL是对合
这个对合是角平分线吗

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2025-7-17 00:53 GMT+8

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