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[几何] 抛物线及等腰直角三角形综合小题

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敬畏数学 posted 2019-5-9 11:11 |Read mode
点$ A(1,2),B $均在抛物线$ y^2=4x $上,等腰直角三角形ABC的斜边为$ BC $,点$ C $在$ x $轴正半轴上,则点$ B $的坐标________。

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kuing posted 2019-5-9 12:31
就是将抛物线绕点A旋转90度啊,当然顺时针逆时针都要算一下。

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original poster 敬畏数学 posted 2019-5-9 16:25
回复 2# kuing
好方法,很快,顺时针绕A点转后,两直角三角形全等。秒了,答案$ B(3,2\sqrt{3}) $

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