x-1/x-2=m/x-1 +1
1+1/(x-2）=m/(x-1)+1
1/(x-2）=m/(x-1)
当m=0方程无解
(x-1)/(x-2)=m
1+1/(x-2)=m
1/(x-2)=m-1
x-2=1/(m-1)
x=2+1/(m-1)
当m=1方程无解