由“等周长点存在条件”引出的不等式

hbghlyj · 2023-1-24 19:22

Last edited by hbghlyj 2023-1-24 20:17正数$x,y,z$满足$x^{-1/2},y^{-1/2},z^{-1/2}$为边可构成三角形, 求证
\[\frac1{2\sqrt{\frac{x+y+z}{xyz}}-\frac1x-\frac1y-\frac1z}>x\]

hbghlyj · 2024-11-1 05:57

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[不等式] 由“等周长点存在条件”引出的不等式

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