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,...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？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