谁说回答问题就一定要收钱的,呵呵解,|ab-2|与|b-1|互为相反数|ab-2|+|b-1|=0|ab-2|,|b-1|都为非负数,两者和为0.两者必定都为0ab-2=0,b-1=0a=2,b=1所以1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+1999)(b+1999)=1/2*1+...