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[几何] 到$P$最短路径最长的点是$-P$

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hbghlyj Posted at 2025-2-25 09:38:08 |Read mode

对于球面上的点 $P$，到$P$最短路径最长的点是$-P$，

对于椭球面上的点 $P$，到$P$最短路径最长的点是$-P$，如何证明？

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Author| hbghlyj Posted at 2025-2-25 19:27:50

可推广到任意中心对称的凸集的表面吗

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