问题
填空题
计算:
=______. |
答案
+1 1×2010
+…+1 2×2009
-1 2010×1
(2010 2011
+1 1×2009
+…+1 2×2008
)1 2009×1
=
(1 2011
+1 1
+1 2010
+1 2
+…+1 2009
+1 2010
)-1 1
×2010 2011
(1 2010
+1 1
+1 2009
+1 2
+…+1 2008
+1 2009
)1 1
=
(1 2011
+1 1
+1 2010
+1 2
+…+1 2009
+1 2010
-1 1
-1 1
-1 2009
-1 2
-…-1 2008
-1 2009
)1 1
=
(1 2011
+1 2010
)1 2010
=
×1 2011 1 1005
=
.1 2021055
故答案为:
.1 2021055