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[几何] 四边形透视

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hbghlyj Posted 2019-8-1 02:05 |Read mode

圆内接四边形ABCD,P是平面上任一点,AP,BP,CP,DP交外接圆于A’,B’,C’,D’,求证:AC,BD的交点和A'C',B'D'的交点连线经过P
请问这题有初等作法吗？
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Author| hbghlyj Posted 2019-8-1 02:08

自极

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Author| hbghlyj Posted 2019-8-1 02:10

调和当且仅当P在圆上

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