问题
解答题
阅读下列内容:
如果有理数a,b满足|ab-2|+(1-b)2=0. 试求
|
答案
∵|ab-2|+(1-b)2=0,
∴ab-2=0,1-b=0,
解得:a=2,b=1,
∴原式=
+1 1×2
+…+1 2×3
=1-1 2009×2008
+1 2
-1 2
+…+1 3
-1 2008
=1-1 2009
=1 2009
.2008 2009
阅读下列内容:
如果有理数a,b满足|ab-2|+(1-b)2=0. 试求
|
∵|ab-2|+(1-b)2=0,
∴ab-2=0,1-b=0,
解得:a=2,b=1,
∴原式=
+1 1×2
+…+1 2×3
=1-1 2009×2008
+1 2
-1 2
+…+1 3
-1 2008
=1-1 2009
=1 2009
.2008 2009