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:作业帮 时间:2024/07/21 14:10:45
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|
xQKN0J nYRһP,"UmS).jX ѴàIVmBaCXoٰ:>YN5 PMhm22ѲA.R5d9S}RM:ƿr([О:vBM hQ$ 2`Br6e]śxU ȣ>s'*xwAx_@\2Bs*gIGYn *(fRq,{~@_eҠ9ЏiN\\d< sI?( ~eƍ[E6h[

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