已知|ab+2|+|a+1|=0 (a-1)(b+1)分之1+(a-2)(b+2)分之1.(a-2002)(b+2002)分之1的值是多少

问题描述:

已知|ab+2|+|a+1|=0 (a-1)(b+1)分之1+(a-2)(b+2)分之1.(a-2002)(b+2002)分之1的值是多少

|ab+2|+|a+1|=0 ,则a=-1,b=2
(a-1)(b+1)分之1+(a-2)(b+2)分之1.(a-2002)(b+2002)分之1
=1/[(-2).3[+1/[(-3).4]+1/[(-4).5]+.+1/(-2003).2004
=1/3-1/2+1/4-1/3+1/5-1/4+.+1/2004-1/2003
=-1/2+1/2004
=-1001/2004