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[不等式] 不等式两道

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dahool posted 2018-8-21 21:55 |Read mode
1、设$a,b,c>0$,且$(a-2)(b-2)(c-2)+2\geqslant abc$,求证:$$\sum\frac{a}{\sqrt{a^5+b^3+c}}\leqslant \frac{3}{\sqrt{a+b+c}}$$
2、设$a,b,c>0$,且$a^3b+b^3c+c^3a=3$,求证:$$\sum\frac{a^2}{\sqrt{4ab+5c^2}}\geqslant 1$$

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kuing posted 2018-8-21 22:30

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original poster dahool posted 2018-8-21 22:43
回复 2# kuing


可真是百宝箱,什么题都能找到0.0
如果能搜索就好了
辛苦啦

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isee posted 2018-8-22 12:18
回复  kuing
如果能搜索就好了
dahool 发表于 2018-8-21 22:43
能啊,关键词 a-2 b-2 范围全文

所以,一般情况下题目是代码,一般是可以搜的,图片就没办法了。

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