设f'(x)在[a,b]上连续,在(a,b)内二阶可导,且f(a)=f(b)=0,f(c)>0,a
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![设f'(x)在[a,b]上连续,在(a,b)内二阶可导,且f(a)=f(b)=0,f(c)>0,a](/uploads/image/z/12510458-26-8.jpg?t=%E8%AE%BEf%27%28x%29%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E5%9C%A8%EF%BC%88a%2Cb%29%E5%86%85%E4%BA%8C%E9%98%B6%E5%8F%AF%E5%AF%BC%2C%E4%B8%94f%28a%29%3Df%28b%29%3D0%2Cf%28c%29%3E0%2Ca)
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设f'(x)在[a,b]上连续,在(a,b)内二阶可导,且f(a)=f(b)=0,f(c)>0,a
设f'(x)在[a,b]上连续,在(a,b)内二阶可导,且f(a)=f(b)=0,f(c)>0,a
设f'(x)在[a,b]上连续,在(a,b)内二阶可导,且f(a)=f(b)=0,f(c)>0,a
∵f(a)=f(b)=0 f(c)>0,且a
∵f'(x)在[a,b]上连续
∴至少存在一点m属于(a,b)使得f '' (m) <0
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【50分高数微积分题】设f(x)在[a,b]上连续,在(a,b)内可导 f(a)f(b)>0 f(a)f[(a+b)/2]