计算 |1\2008-1\2007| +|1\2007-1\2006|+|1\2006-1\2005|+|1\2005-1\2004|

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 17:09:46
计算 |1\2008-1\2007| +|1\2007-1\2006|+|1\2006-1\2005|+|1\2005-1\2004|

计算 |1\2008-1\2007| +|1\2007-1\2006|+|1\2006-1\2005|+|1\2005-1\2004|
计算 |1\2008-1\2007| +|1\2007-1\2006|+|1\2006-1\2005|+|1\2005-1\2004|

计算 |1\2008-1\2007| +|1\2007-1\2006|+|1\2006-1\2005|+|1\2005-1\2004|
=1/2007-1/2008+1/2006-1/2207+...+1/2004-1/2005
=1/2004-1/2008
=1/1006008

=1/2007-1/2008+1/2006-1/2207+...+1/2004-1/2005
=1/2004-1/2008
=1/1006008

原式=1/2007-1/2008+1/2006-1/2007+1/2005-1/2006+1/2004-1/2005
=(1/2004-1/2008)+(1/2007-1/2007)+(1/2006-1/2006)+(1/2005-1/2005)
=(1/2004-1/2008)
=1/1006008
详细解答
不懂, 请追问,祝愉快O(∩_∩)O~