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[不等式] 一道含参不等式题

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力工 Posted 2023-6-29 19:32 |Read mode

Last edited by 力工 2023-6-29 19:47因为出现同样的题，谢谢@lemondian的提醒。修改下内容，算是滥竽充数吧。
已知$a,b\in (0,1)$,若$a+b+2m>(1+m)\sqrt{2(a^2+b^2)}$,求实数$m$的最小值.
这题有点几何那味道。

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lemondian Posted 2023-6-29 19:36

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