已知二元函数f(x,y)在点(0,0)的某个领域内连续,且lim( f(x,y)-xy)/((x^2+y^2)^2)=1,其中x,y分别趋于0,则下述四个选项中正确的是A.点(0,0)不是f(x,y)的极值点B.点(0,0)是f(x,y)的极大值点C.点(0,0)是f(x,y)的极小
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![已知二元函数f(x,y)在点(0,0)的某个领域内连续,且lim( f(x,y)-xy)/((x^2+y^2)^2)=1,其中x,y分别趋于0,则下述四个选项中正确的是A.点(0,0)不是f(x,y)的极值点B.点(0,0)是f(x,y)的极大值点C.点(0,0)是f(x,y)的极小](/uploads/image/z/2571811-43-1.jpg?t=%E5%B7%B2%E7%9F%A5%E4%BA%8C%E5%85%83%E5%87%BD%E6%95%B0f%28x%2Cy%29%E5%9C%A8%E7%82%B9%280%2C0%29%E7%9A%84%E6%9F%90%E4%B8%AA%E9%A2%86%E5%9F%9F%E5%86%85%E8%BF%9E%E7%BB%AD%2C%E4%B8%94lim%28+f%28x%2Cy%29-xy%29%2F%28%28x%5E2%2By%5E2%29%5E2%29%3D1%2C%E5%85%B6%E4%B8%ADx%2Cy%E5%88%86%E5%88%AB%E8%B6%8B%E4%BA%8E0%2C%E5%88%99%E4%B8%8B%E8%BF%B0%E5%9B%9B%E4%B8%AA%E9%80%89%E9%A1%B9%E4%B8%AD%E6%AD%A3%E7%A1%AE%E7%9A%84%E6%98%AFA.%E7%82%B9%280%2C0%29%E4%B8%8D%E6%98%AFf%28x%2Cy%29%E7%9A%84%E6%9E%81%E5%80%BC%E7%82%B9B.%E7%82%B9%280%2C0%29%E6%98%AFf%28x%2Cy%29%E7%9A%84%E6%9E%81%E5%A4%A7%E5%80%BC%E7%82%B9C.%E7%82%B9%280%2C0%29%E6%98%AFf%28x%2Cy%29%E7%9A%84%E6%9E%81%E5%B0%8F)
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