等式左右变为:3x-4/(x-1)(x-2)=A(X-2)/(x-1)(x-2)+B(x-1)/(x-1)(x-2)约去(x-1)(x-2)得:3x-4=A(X-2)+B(x-1)得:3x-4=AX-2A+BX-B所以:3=A+B 4=2A+B得:A=1 B=2