|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/20

原式=1/2003-1/2004+1/2002-1/2003+1/2001-1/2002+1/2001-1/2004
=2/2001-2/2004
=2×(2004-2001)/2001×2004
=2×3/2001×2004
=1/668334;
很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,
再问： 可是1/2003-1/2004+1/2002-1/2003+1/2001-1/2002+1/2001-1/2004应该等于2/2001-2/2004啊？
再答： 原式=1/2003-1/2004+1/2002-1/2003+1/2001-1/2002+1/2001-1/2004 =2/2001-2/2004 =2×(2004-2001)/2001×2004 =2×3/2001×2004 =1/668334; 你看下第二步；不是的嘛，然后还要继续计算下去，亲