设f(x)在[0,1]连续,在(0,1)二阶可导且f(0)=/(1)=0,f’’(x)0(x∈(0,1)),

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问题 设f(x)在[0,1]连续,在(0,1)二阶可导且f(0)=/(1)=0,f’’(x)<0(x∈(0,1)),证明:
f(x)>0(x∈(0,1)),

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答案由假设条件及罗尔定理知[*],f(A)=0,由f(x)在(0,1)[*][*][*]

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