因为b-a=-(a-b),a/(a-b)+b/(b-a)=a/(a-b)+b/[-(a-b)]=a/(a-b)+[-b/(a-b)]......(分式的分子,分母和分式本身同时改变两处的符号,分式的值不变)......=a/(a-b)-b/(a-b)=(a-b)/(a-b)=1.