化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|初中绝对值,急,明天上课
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 07:01:46
![化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|初中绝对值,急,明天上课](/uploads/image/z/263525-5-5.jpg?t=%E5%8C%96%E7%AE%80%7C1%EF%BC%8F2004%EF%BC%8D1%EF%BC%8F2003%7C%EF%BC%8B%7C1%EF%BC%8F2003%EF%BC%8D1%EF%BC%8F2002%7C%EF%BC%8B%7C1%EF%BC%8F2002%EF%BC%8D1%EF%BC%8F2001%7C%EF%BC%8D%7C1%EF%BC%8F2001%EF%BC%8D1%EF%BC%8F2004%7C%E5%88%9D%E4%B8%AD%E7%BB%9D%E5%AF%B9%E5%80%BC%2C%E6%80%A5%2C%E6%98%8E%E5%A4%A9%E4%B8%8A%E8%AF%BE)
化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|初中绝对值,急,明天上课
化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|
初中绝对值,急,明天上课
化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|初中绝对值,急,明天上课
因为2004分之1与2003分之1的差小于0
所以原式=-1/2004+1/2003-1/2003+1/2002-1/2002+1/2001-1/2001+1/2004 =0
因为2004分之1与2003分之1的差小于0,所以化去绝对值取它的相反数,-(1/2004-1/2003)=-1/2004+1/2003.依次类推.
然后就都被抵消了,最后等于零.
|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|
=-1/2004+1/2003-/2003+1/2002-/2002+1/2001+1/2001+1/2004
=0
|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|
=(1/2003-1/2004)+(1/2002-1/2003)+(1/2001-1/2002)-(1/2001-1/2004)
=1/2003-1/2004+1/2002-1/2003+1/2001-1/2002-1/2001+1/2001
=0