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[几何] 一道初中题

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hbghlyj posted 2020-5-27 10:27 |Read mode
Last edited by hbghlyj 2020-6-2 22:36A,B,C,D,P共圆,CP,DP交AB于E,F,求证$\frac{AC·BD}{CD}=\frac{AE·BF}{EF}$
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isee posted 2020-6-1 23:39
回复 1# hbghlyj


    AC·BD:AE·BF=CD:EF 左边是指AC·BD:(AE·BF)?

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isee posted 2020-6-2 22:41
回复 3# hbghlyj

这一看就是竞赛题,闪

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original poster hbghlyj posted 2020-9-17 19:35
《几何变换》有一道题:
已知圆之两条弦AB及CD及一定值$a$,在圆周求作点X使得弦XA,XB将CD截于长度为$a$之线段EF。
利用1#结论,得到AE·BF,又知AE+BF,便可作出

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original poster hbghlyj posted 2021-2-14 14:43

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