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[几何] Rt三角形欧拉线上的点的垂足三角形的垂心的集合是圆锥曲线

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hbghlyj posted 2021-1-27 21:42 |Read mode
Last edited by hbghlyj 2021-1-27 21:59 72414578_795544637558350_3561505470185209856_o.jpg
对于(0,0)(3,0)(0,4)是
12x² - 7x y + 64x - 12y² - 27y = 0
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一般地,

三角形欧拉线上的点的垂足三角形的垂心的集合是有理三次曲线

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