(1/3+1/4……+1/2006)(1/2+1/3……+1/2006)-(1/2+1/3+……+1/2006)(1/3+1/4……+1/2005)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 11:20:39

(1/3+1/4……+1/2006)(1/2+1/3……+1/2006)-(1/2+1/3+……+1/2006)(1/3+1/4……+1/2005)
(1/3+1/4……+1/2006)(1/2+1/3……+1/2006)-(1/2+1/3+……+1/2006)(1/3+1/4……+1/2005)

(1/3+1/4……+1/2006)(1/2+1/3……+1/2006)-(1/2+1/3+……+1/2006)(1/3+1/4……+1/2005)
按你修改后的结果
令1/3+1/4……+1/2005=a
(a+1/2006)(1/2+a)-(1/2+a+1/2006)a=1/4012

=(1-1/2+1/2-1/3+……+1/2006-1/2007)(1-1/2+1/2-1/3+1/3-1/4+……+1/2005-1/2006)=2006/2007*2005/2006=2005/2007
下面那题……难道打错了?
满意请采纳。

(1/3+1/4……+1/2006)(1/2+1/3……+1/2006)-(1/2+1/3+……+1/2006)(1/3+1/4……+1/2005) (1/2+1/3+1/4+1/5+……+1/2007)*(1+1/2+1/3+1/4+……+1/2006)………………计算:(1/2+1/3+1/4+1/5+……+1/2007)*(1+1/2+1/3+1/4+……+1/2006)-(1+1/2+1/3+1/4+……+1/2007)*(1/2+1/3+1/4+^+1/2006)要求简算 1-2+3-4……+2005-2006 (-1)+(+2)+(-3)+(+4)+……+(-2005)+(+2006)+(-2007)+(+2008) (+1)+(-2)+(+3)+(-4)+……+(+2005)+(-2006)+2007 计算 |2/1-3/1|+|3/1-4/1|+|4/1-5/1|+……+|2006/1-2007/1| 计算 |2/1-3/1|+|3/1-4/1|+|4/1-5/1|+……+|2006/1-2007/1| 计算:(1/2+1/3+1/4+…+1//2006)(1+1/2+1/3+…+1/2005)-(1+1/2+1/3+1/4+…+1/2006)(1/2+1/3+…+1/2005) 1×1/2+1/2×1/3+1/3×1/4……+1/2005×1/2006=? (2006-1/2-1/3-……-1/2005)(1/2+1/3+……+1/2006)-(2006-1/2-1/3-……-1/2006)(1/2+1/3……+1/2005)=? 1/2+(1/3+2/3)+(1/4+2/4+3/4)+…(1/2006+2/2006+3/2006+…+2005/2006)=?1/2+〔1/3+2/3〕+〔1/4+2/4+3/4〕+…+〔1/2006+2/2006+…+2004/2006+2005/2006〕=0.5+1+1.5+.1003=2006*(0.5+1003)/2=1006510. 1+2+3+4+···+2005+2006)/(1-1/1004)*(1-1/1005)……(1-1/2005)*(1-1/2006)= 一道初中计算题,(用简便方法计算)急~(1/2+1/3+1/4+……+1/2007)*(1+1/2+1/3+1/4+……+1/2006)-(1+1/2+1/3+1/4+……+1/2007)*(1/2+1/3+1/4+……+1/2006)= 来问一道简便运算(1+1/2)(1+1/3)(1+1/4)……(1+1/2005)(1/2-1)(1/3-1)(1/4-1)……(1/2006-1) 1+2-3-4+5…+2005+2006-2007-2008 (+1)+(-2)+(+3)+(-4)+…+(+2005)+(-2006)+2007怎么做? (1+1/2)(1+1/3)(1+1/4)(1+1/5)……(1+1/2005)(1+1/2006)=? 计算(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)急~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~