解由当x>3时,不等式x+1/(x-1)-a≥0恒成立即当x>3时,不等式x+1/(x-1)≥a恒成立即当x>3时,不等式a≤x+1/(x-1)恒成立即当x>3时,不等式a≤（x-1）+1/(x-1)+1恒成立令f（x）=（x-1）+1/(x-1)+1 （x>3）即a≤f（x）=（x-1...