1/(x-1)+a/(x-2)=(2a+2)/(x²-3x+2)方程两边都乘以(x-1)(x-2)得,(x-2)+a(x-1)=2a+2整理得,(a+1)x=3a+4若a=-1,则方程无解；若a≠-1,则x=(3a+4)/(a+1),此时若(3a+4)/(a+1)=1或2,是原方程增根,原方程也无解.解得：a...