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AH/AC = S△DEF/(2 * S△ABC)

Posted by Eov_Second at 2017-02-27 17:35:10 on Problem 3813
利用等面积以及三角形相似关系,最终可以得到
AH     S△DEF
-- = ---------- = k
AC     2S△ABC

由比例关系不难得出点H坐标Xh,Yh
Xh = k(Xc-Xa) + Xa
Yh = k(Yc-Ya) + Ya
再根据向量和的公式很容易可以求出G点坐标
Xg = Xh + Xb - Xa
Yg = Yh + Yb - Ya

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