初中绝对值|1/2010-1/2009|+|1/2009-1/2008|+...|1/2-1|
问题描述：
初中绝对值|1/2010-1/2009|+|1/2009-1/2008|+...|1/2-1|
答
=1/2009-1/2010+1/2008-1/2009+...+1-1/2=-1/2010+1=2009/2010
答
|1/2011-1/2010| |1/2010-1/2009|= |1/2009-1/2008| .. |1/2-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
答
|1/2010-1/2009|+|1/2009-1/2008|+...|1/2-1|
=-(1/2010-1/2009)-(1/2009-1/2008)-...-(1/2-1)
=-1/2010+1/2009-1/2009+1/2008-..-1/2+1
=1-1/2010
=2009/2010
答
|1/2010-1/2009|+|1/2009-1/2008|+...|1/2-1|
=1/2009-1/2010+1/2008-1/2009+……+1-1/2
=1-1/2010
=2009/2010