┃1/2007-1/2006┃+┃1/2006-1/2005┃+┃1/2005-1/2004┃-┃1/2004-1/2007┃
问题描述:
┃1/2007-1/2006┃+┃1/2006-1/2005┃+┃1/2005-1/2004┃-┃1/2004-1/2007┃
答
┃1/2007-1/2006┃+┃1/2006-1/2005┃+┃1/2005-1/2004┃-┃1/2004-1/2007┃
=1/2006-1/2007+1/2005-1/2006+1/2004-1/2005-1/2004+1/2007
=(1/2006-1/2006)+(-1/2007+1/2007)+(1/2005-1/2005)+(1/2004-1/2004)
=0
答
|1/2007-1/2006|+|1/2006-1/2005|+|1/2005-1/2004|-|1/2004-1/2007|=[-(1/2007-1/2006)]+ [-(1/2006-1/2005)]+ [-(1/2005-1/2004)]-(1/2004-1/2007)=-1/200+1/2006-1/2006+1/2005-1/2005+1/2004-1/2004+1/2007=0