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[几何] 旁心 中点

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hbghlyj Posted 2023-3-3 01:24 |Read mode
M为BC中点, $MN\perp BC$, J是旁心. L、X、Y为MN、CJ、BJ中点. 证明: AL平分∠TAS

L实际是ATS的旁心(来自fyx
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4ef7ac4bd11373f06ddf0b8bab0f4bfbfaed0472.jpg

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 Author| hbghlyj Posted 2023-3-3 02:21

小经验

如果要同时画内心和内切圆, 直接写incircle、incenter, 则程序计算了两次内心坐标. 可以写
  1. circle i=incircle(A,B,C);pair I = i.C;draw(i);
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这样只计算了1次内心坐标.
其中i.C是圆i的圆心, 见geometry.asy. 同样, 如果要同时画A-旁心和A-旁切圆, 可以写
  1. circle j=excircle(B,C,A);pair J = j.C;draw(j);
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