设f(x,y)==__________.

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问题 设f(x,y)==__________.

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答案一2e-x2y2

解析 =ye-x2y2,因f(x,y)具有对称性,故得到=xe-x2y2
同理,由=-2xy3e-x2y2及对称性得到=-2x3ye-x2y2
=e-x2y2一2x2y2e-x2y2,故
=-2e-x2y2
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