2+2b'-b-ab'=0b' = (b-2)/(2-a) = -1/2(a-2) = 2(b-2)............(1)而且2a+2b-ab-2 = (a-2)(-b+2)+2 = 0(a-2)(b-2) = 2.............(2)综合(1), (2)得:(b-2)^2 = 1b=3 (b>0)a=4因此, a+2b 最小值为 4+6 = 10
(a-2)(b-2)=2①a+2b=(a-2)+2(b-2)+6