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[不等式] 最近各大群很火的一个老题

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v6mm131 Posted 2017-8-7 00:46 |Read mode
Let $a,b$ be real numbers such that $a+b=1$ .Prove that\[ 3\sqrt{1+2a^2}+2\sqrt{40+9b^2}\geq5\sqrt{11}\]

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kuing Posted 2017-8-7 02:40
看这里:forum.php?mod=viewthread&tid=4447,就差个条件不同,不过也没什么意思,反正(采取任意手段)得知取等之后就什么解法都可以写出来了(见链接16楼)。

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 Author| v6mm131 Posted 2017-8-7 07:21
回复 2# kuing

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