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若f(x,y)在有界闭区域D上连续,且在D内任一子区域上有
   
   则D上

A.174.24.96:6088/Latex/latex.action?latex=RO%2B8h1xzdWJzZXQgRA%3D%3D'
B.174.24.96:6088/Latex/latex.action?latex=XGludFxpbnRfe0R9Zih4LHkpZFxzaWdtYT0w'
C.174.24.96:6088/Latex/latex.action?latex=Zih4LHkpXGVxdWl2IDA%3D'

【参考答案】

反证法:假设,不妨设,使

因为f(x,y)在D上连续,从而f(x,y)在处连续,因此,,对,有......

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