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[函数] 变量范围问题

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realnumber Posted at 2014-3-13 10:46:52 |Read mode
Last edited by realnumber at 2014-3-13 11:00:00江苏苏州田-(165------21)  10:10:27
33333.jpg 33333.jpg
换元就是这个问题,$a,b,c,d,e\in R$,满足$a^2+b^2+c^2+d^2+e^2=1$,求$a+b+c+2d+e$的最大值.

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删广告专用 Posted at 2014-3-13 11:01:54
换元柯西没难度吧。。。

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 Author| realnumber Posted at 2014-3-13 11:48:50
回复 2# 删广告专用


    一开始没看出来cauchy

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踏歌而来 Posted at 2014-3-13 12:12:28
回复 3# realnumber

这个题目出得很好,可以检测两个问题:
1、是否想得起来应用 柯西定理
2、灵活变形,把(a5+a6)-(a1+a4)配出来

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其妙 Posted at 2014-3-15 21:55:53

手机版Mobile version|Leisure Math Forum

2025-4-22 13:03 GMT+8

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