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xianjunlong

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[交流] 【求助】求助一道有关偏导数的数学竞赛题!【已解决】 已有2人参与

设二元函数f(x,y)有一阶连续的偏导数,且f(0,1)=f(1,0)。证明:单位圆周上至少存在两点满足方程 :   y 乘以函数 f 关于x的偏导数  --(减去)  x  乘以函数 f 关于 y 的偏导数=0。

[ Last edited by javeey on 2010-5-9 at 11:43 ]
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just_play

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★ ★ ★
小木虫(金币+0.5):给个红包,谢谢回帖交流
javeey(金币+2):谢谢专家提供帮助 2010-05-08 23:08:33
Doctorcbw(数学EPI+1): 2010-05-09 11:57:52


[ Last edited by just_play on 2010-5-8 at 23:47 ]
So Trivial !
2楼2010-05-08 23:07:04
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xianjunlong

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非常谢谢!
3楼2010-05-09 10:42:36
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