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[不等式] 一道怪异的三元不等式

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aishuxue posted 2020-10-29 09:50 |Read mode
已知$a,b,c>0$,且满足$a+b+c=1$,
求证: $\dfrac{a}{a+bc}+\dfrac{b}{b+ca}+\dfrac{\sqrt{abc}}{c+ab}\leqslant1+\dfrac{3\sqrt{3}}{4}$

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色k posted 2020-10-29 11:29
这名字我喜欢

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