计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|= 计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 14:25:13
计算|1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|=计算|1/2011-1/2010|+|1/2010-1/2009|=+|1/

计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|= 计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|
计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|
=
计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|

计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|= 计算 |1/2011-1/2010|+|1/2010-1/2009|=+|1/2009-1/2008|+..+|1/2-1|
首先考虑去绝对值符号,易看出每个绝对值里面是负数(以下去绝对值之后我改变了一下排序)
原式=1-1/2+1/2-1/3+1/3-1/4+……+1/2009- 1/2010+1/2010-1/2011
=1-1/2011
=2010/2011

1/2010-1/2011+1/2009-1/2010+1/2008-1/2009+.........+1-1/2=-1/2011+1=2010/2011

绝对之内都是负数,去掉绝对值得(1/2010-1/2011)+1/2009-1/2010)....+1-2=-1/2011+1=1/2010