问题
选择题
若a、b为实数，且满足(a-1)2+
|
答案
∵a、b为实数，满足(a-1)2+
=0，b-2
又无论a，b为何值，（a-1）2≥0，
≥0，b-2
∴a-1=0，b-2=0，
∴a=1，b=2，
∴
+1 ab
+1 (a+1)(b+1)
+…+1 (a+2)(b+2) 1 (a+2008)(b+2008)
=
+1 1×2
+1 2×3
+…+1 3×4 1 2009×2010
=1-
+1 2
-1 2
+1 3
+…+1 4
-1 2009 1 2010
=
．2009 2010
故选D．