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

来源：学生作业帮编辑：搜搜做题作业网作业帮分类：数学作业时间：2024/07/29 05:47:32

|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|等于多少?

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

|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/20 化简：|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1 (2002+2003*2001)/(2002*2003-1)简算 1/1999×2000+1/2000×2001+1/2001×2002+1/2002×2003+1/2003×2004+ 1/2001*2002+1/2002*2003+1/2003*2004+1/2004*2005+1/2005=?/? 1/2001*2002+1/2002*2003+1/2003*2004+1/2004+2005+1/2005 2004×2003-2003×2002+2002×2001-2001×2000+…+2×1= 递等式计算计算题：2004*2003-2003*2002+2002*2001-2001*2000+…+2*1=?如题 2002*2003-1分之2002+2003*2001简便计算简便计算2001/(2001+2002/2003)+1/2003 简算2001÷2001又2003/2002+1/2003 1/2000*2001+1/2001*2002+1/2002*2003+1/2003