计算|1/2011-1/2010|+|1/2010-1/2009||+|1/2009-1/2008|…+|1/3-1/2|+|1/2-1|

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/09 10:22:32
计算|1/2011-1/2010|+|1/2010-1/2009||+|1/2009-1/2008|…+|1/3-1/2|+|1/2-1|
x){nuk uA6oX@ ,!5A|aMR>U/ -w =O;ڞ$Mݠ>]/znڿklhE􍵁 Aj!ڠi#ehd!pH/.H̳8ř

计算|1/2011-1/2010|+|1/2010-1/2009||+|1/2009-1/2008|…+|1/3-1/2|+|1/2-1|
计算|1/2011-1/2010|+|1/2010-1/2009||+|1/2009-1/2008|…+|1/3-1/2|+|1/2-1|

计算|1/2011-1/2010|+|1/2010-1/2009||+|1/2009-1/2008|…+|1/3-1/2|+|1/2-1|
根据同分子分数,分母大的反而小可知:
|1/2011-1/2010|+|1/2010-1/2009||+|1/2009-1/2008|…+|1/3-1/2|+|1/2-1|
=1-1/2+1/2-1/3+……+1/2008-1/2009+1/2009-1/2010+1/2010-1/2011
=1-1/2011
=2010/2011