∠IOH的范围

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abababa 发表于 2018-4-30 12:00
四心O、G、I、H如果共线，这一定是等腰三角形

对于任意三角形，求证∠IOH≤30°？

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1. calculateAngleIOH[pts_]:=VectorAngle[TriangleCenter[pts,"Incenter"]-TriangleCenter[pts,"Circumcenter"],TriangleCenter[pts,"Orthocenter"]-TriangleCenter[pts,"Circumcenter"]];
2. NMaxValue[calculateAngleIOH[{{0,0},{1,0},{x,y}}],{x,y}]/Degree

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30

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还没证出来，抓狂中