(1)求b的值;
(2)判断对应的曲线的交点个数,并说明理由.
函数f(x)=a-2ln x(a∈R).
(Ⅰ)当a=2时,求曲线f(x)在x=2处的切线方程;
(Ⅱ)若a>,且m,n分别为f(x)的极大值和极小值,S=m-n,求证:S<.