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影老师带你学习考研数学!

设函数f(x)在[0,2]上连续,在(0,2)内可导,且f(0)=1,f(1)=0,f(2)=3,则下列说法一定正确的是( )
A. 存在ξ∈(0,1),使得f'(ξ)=-1
B. 存在唯一ξ∈(1,2),使得f'(ξ)=3
C. 存在ξ∈(0,2),使得f''(ξ)=2
D. 存在ξ∈(0,2),使得f(ξ)= ξ

请写出答案。
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