∵|a-2|与|b-1|互为相反数∴|a-2|+|b-1|=0∴a-2=0 b-1=0∴a=2 b=1∴原式=1/(1×2)+1/(2×3)+1/(3×4)+...+1/(2015×2016)=1-1/2+1/2-1/3+1/3-1/4+...+1/2015-1/2016=1-1/2016=2015/2016为什么这样做