试题与答案

已知函数f(x)=xlnx.(I)设g(x)=f(x)-ax,若不等式g(x)≥

题型:解答题

题目:

已知函数f(x)=xlnx.
(I )设g(x)=f(x)-ax,若不等式g(x)≥-1对一切x∈e (0,+∞)恒成立,求实数a 的取值范围;
(II)设0<x1<x2,若实数x0满足,f(x0)=
f(x2)-f(x1)
x2-x1
,证明:x1<x0<x2

答案:

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