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:六六作业网 时间:2024/09/11 09:27:42
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