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[几何] 2个矩形作出相似变换的不动点

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hbghlyj posted 2023-3-21 02:45 |Read mode
作出由矩形$ABCD$到矩形$A'B'C'D'$的相似变换的不动点。
西山の定理
求矩形$ABCD$与矩形$A'B'C'D'$对应边(延长)的交点$P,Q,R,S$。
令$O$为直线$PQ$和$RS$的交点,这就是相似变换的不动点,且$PQ\perp RS$。
Fixedpoint2.jpeg

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original poster hbghlyj posted 2023-3-21 02:49
西山豊(英語: Yutaka Nishiyama)Mathematics in Daily Life
3. Fixed Point
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