问题
解答题
如果|a-1|+|ab-2|=0.求
|
答案
∵|a-1|+|ab-2|=0,
∴a-1=0且ab-2=0,
解得:a=1,b=2,
∴
+1 ab
+1 (a+1)(b+1)
+…+1 (a+2)(b+2) 1 (a+2004)(b+2004)
=
+1 1×2
+1 2×3
+…+1 3×4 1 2005×2006
=1-
+1 2
-1 2
+1 3
-1 3
+…+1 4
-1 2005 1 2006
=1-1 2006
=
.2005 2006