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[不等式] Brunn–Minkowski不等式 n=2

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hbghlyj posted 2025-3-9 02:47 |Read mode
Last edited by hbghlyj 2025-3-9 03:13设 $ABCD$ 是一个凸四边形,点 $O$ 在其内部,点 $P,Q,R,S$ 分别在边 $AB,BC,CD,DA$ 上,使得 $APOS$ 和 $CROQ$ 是平行四边形。证明 $$\sqrt{S_{BQOP}}+\sqrt{S_{DSOR}}\le \sqrt{S_{ABCD}}.$$

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original poster hbghlyj posted 2025-3-9 17:27
如何证明

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