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如何求圆的最短弦
更新时间: 2020-09-24 00:00:00  

算法:连接圆心与此点,再过此点作一条垂直于这条线段的直线,截圆得到圆的最短弦。

证明:假设有一条过此点的最短弦b不同于刚才作出的这一条a,画图可知,圆心到b的距离d小于圆心到此点的距离,由圆内的典型三角形,设半径为r,b的弦长等于2倍根号下r的平方减去d的平方,一定大于a的弦长,所以,a是最短弦。

关键词: 如何

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