试题与答案

已知函数f(x)=x-alnx,其中a为实数.(1)当a=2时,求曲线y=f(x

题型:解答题

题目:

已知函数f(x)=
x-a
lnx
,其中a为实数.
(1)当a=2时,求曲线y=f(x)在点(2,f(2))处的切线方程;
(2)是否存在实数a,使得对任意x∈(0,1)∪(1,+∝),f(x)>
x
恒成立?若不存在,请说明理由,若在,求出a的值并加以证明.

答案:

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