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[不等式] 再次来这个不等式

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lemondian posted 2017-8-3 17:04 |Read mode
我在弄这个时:forum.php?mod=viewthread&tid=4781&extra=page=1
又从《kuing网络撸题集》看到: QQ图片20170803165836.png
那么能不能有这个: QQ截图20170803170316.jpg

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kuing posted 2017-8-3 17:27
变量非负时显然有,但有负数时就不行。

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original poster lemondian posted 2017-8-3 18:16
回复 2# kuing


    求证明

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kuing posted 2017-8-3 18:18
回复 3# lemondian

非负时由幂平均立得啊

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original poster lemondian posted 2017-8-3 18:23
终极目标: QQ截图20170803182221.jpg

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isee posted 2017-8-3 19:55
Last edited by isee 2017-8-4 13:13这么简单的几个代码,楼主不用论坛里的LaTeX代码,楼主也是厉害角色。

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kuing posted 2017-8-3 22:03
回复 5# lemondian

很遗憾,n=4 就已经不成立,反例取 $a=2b$,自行验算之。

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