已知|ab-2|与|b-1|互为相反数.
b-1=0 b=1
ab-2=0 a=2
1/ab+1/（a+2)*（b+1）+1/（a+2)*(b+2)+...+1/（a+2010)*(b+2010)
=1/1x2+1/2x3+1/3x4+……+1/2011x2012
=1-1/2+1/2-1/3+1/3-1/4+……+1/2011-1/2012
=1-1/2012
=2011/2012