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[不等式] 一个经典的不等式问题

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ABCD001 posted 2025-5-17 17:29 |Read mode
Last edited by hbghlyj 2025-5-17 17:37新人,请问人教论坛QQ群号是多少?

还有一个不等式问题。已知 $a, b, c>0$ ,且 $a^3+b^3+c^3=6 a b c$
(1)求证:$\frac{a b^2+b c^2+c a^2}{a b c} \leq 3 \sqrt[3]{3}$
(2)求 $\frac{a b^2+b c^2+c a^2}{a b c}$ 的最大值

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人教论坛QQ群号:11071642(现在很冷清了  posted 2025-5-17 17:43

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original poster ABCD001 posted 2025-5-18 13:51
好的

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