计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)急!计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)*(1/2003+1/2004+1/2005)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/01 19:50:43

计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)急!计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)*(1/2003+1/2004+1/2005)
计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)急!
计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)*(1/2003+1/2004+1/2005)

计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)急!计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)*(1/2003+1/2004+1/2005)
设1/2003+1/2004+1/2005=a,1/2003+1/2004+1/2005+1/2006=b,则
原式=(2+a)b-(2+b)a
=2b+ab-2a-ab
=2(b-a)
=2(1/2003+1/2004+1/2005+1/2006-1/2003-1/2004-1/2005)
=1/1003

换元法:
设: 1/2003+1/2004+1/2005=a, 1/2003+1/2004+1/2005+1/2006=b,
原式=(2+a)*b-(2+b)*a=2b+ab-2a-ab
=2(b-a)=2/2006=1/1003