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:2024/04/28 05:51:17
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)*(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)*(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)*(1/2003+1/2004+1/2005)
设 A = 1/2003+1/2004+1/2005 ;
原式 = (2+A)*(A+1/2006)-(2+A+1/2006)*A
= [(2+A)*A+(2+A)*(1/2006)]-[(2+A)*A+(1/2006)*A]
= (2+A)*(1/2006)-(1/2006)*A
= 2*(1/2006)
= 1/1003

2*(1/2003+1/2004+1/2005+1/2006)