题目内容：

1/3×1+1/3×5+1/5×7…1/2009×2011等于多少

优质解答

简便计算
1/3×1+1/3×5+1/5×7…1/2009×2011
=1/2x(1-1/3)+1/2x(1/3-1/5)+1/2x(1/5-1/7)+...+1/2x(1/2009-1/2011)
=1/2x(1-1/2011)
=1005/2011