ab-2=0a-2=0∴a=2b=11/AB+1/（A+1）（B+1）+1/（A+2）（B+2）+……+1/（A+2010）（B+2010）=1/1×2+1/2×3+1/3×4+1/4×5+……+1/2011×2012=1-1/2+1/2-1/3+1/3-1/4+1/4-……-1/2011+1/2011-1/2012=1-1/2012=2011/20...