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[几何] 到$P$最短路径最长的点是$-P$

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hbghlyj posted 2025-2-25 09:38 |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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original poster hbghlyj posted 2025-2-25 19:27
可推广到任意中心对称的凸集的表面吗

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