神马作文网计算:1/2009-1/2008的绝对值-1/2008-1/2007的绝对值+1/2007-1/206的绝对值.+
来源：学生作业帮 编辑：神马作文网作业帮 分类：数学作业 时间：2024/11/11 13:43:39
计算:1/2009-1/2008的绝对值-1/2008-1/2007的绝对值+1/2007-1/206的绝对值.+
+1/3-1/2的绝对值+1/2-1的绝对值
计算:1/2009-1/2008的绝对值-1/2008-1/2007的绝对值+1/2007-1/206的绝对值......+1/3-1/2的绝对值+1/2-1的绝对值
+1/3-1/2的绝对值+1/2-1的绝对值
计算:1/2009-1/2008的绝对值-1/2008-1/2007的绝对值+1/2007-1/206的绝对值......+1/3-1/2的绝对值+1/2-1的绝对值
|1/2009-1/2008|+|1/2008-1/2007|+|1/2007-1/2006|+...+|1/3-1/2|+|1/2-1|
=-(1/2009-1/2008)-(1/2008-1/2007)-(1/2007-1/2006)-...-(1/3-1/2)-(1/2-1)
=-[(1/2009-1/2008)+(1/2008-1/2007)+(1/2007-1/2006)+...+(1/3-1/2)+(1/2-1)]
=-[1/2009-1]
=2008/2009
=-(1/2009-1/2008)-(1/2008-1/2007)-(1/2007-1/2006)-...-(1/3-1/2)-(1/2-1)
=-[(1/2009-1/2008)+(1/2008-1/2007)+(1/2007-1/2006)+...+(1/3-1/2)+(1/2-1)]
=-[1/2009-1]
=2008/2009
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