问题
解答题
若a，b为实数，且|a-1|+
|
答案
∵|a-1|+
=0，ab-2
∴a-1=0，ab-2=0，
解得a=1，b=2，
+1 ab
+1 (a+1)(b+1)
+…+1 (a+2)(b+2) 1 (a+2009)(b+2009)
=
+1 1×2
+…+1 2×3 1 2010×2011
=1-
+1 2
-1 2 1 3
-1 2010 1 2011
=1-1 2011
=
．2010 2011