因为a>1,所以 a-1>0, 所以 4a +1/(a-1)=4+4(a-1)+1/(a-1) ≥4+2√[4(a-1)*1/(a-1)]=8 当且仅当 4(a-1)=1/(a-1),即 a=3/2时, 4a+1/(a-1)的最小值是8