搜搜做题作业网已知|ab-2|与|a-1|互为相反数 求值 1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+
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：2024/05/11 15:00:03
已知|ab-2|与|a-1|互为相反数 求值 1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2006)(b+2006)
已知|ab-2|与|a-1|互为相反数求值 1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2006)(b+2006)
已知|ab-2|与|a-1|互为相反数求值 1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2006)(b+2006)
绝对值项恒非负,只有0的相反数仍为非负数.
ab-2=0
a-1=0
解得a=1 b=2
b=a+1
1/(ab)+1/[(a+1)(b+1)]+1/[(a+2)(b+2)]+...+1/[(a+2006)(b+2006)]
=1/[a(a+1)]+1/[(a+1)(a+2)]+1/[(a+2)(a+3)]+...+1/[(a+2006)(a+2007)]
=1/a -1/(a+1)+1/(a+1)-1/(a+2)+1/(a+2)-1/(a+3)+...+1/(a+2006)-1/(a+2007)
=1/a -1/(a+2007)
=1/1 -1/2008
=2007/2008
ab-2=0
a-1=0
解得a=1 b=2
b=a+1
1/(ab)+1/[(a+1)(b+1)]+1/[(a+2)(b+2)]+...+1/[(a+2006)(b+2006)]
=1/[a(a+1)]+1/[(a+1)(a+2)]+1/[(a+2)(a+3)]+...+1/[(a+2006)(a+2007)]
=1/a -1/(a+1)+1/(a+1)-1/(a+2)+1/(a+2)-1/(a+3)+...+1/(a+2006)-1/(a+2007)
=1/a -1/(a+2007)
=1/1 -1/2008
=2007/2008
已知(a-3)的2次方与根号b-1互为相反数,求a-b/ab
|a+b+2|与|ab-1|互为相反数,求代数式a+b-ab-1的值.
已知a与b互为相反数,且|a-2b|=3/2,求代数式(2a-ab-b*b)/(a*a+ab+b-1)的值.
已知|a-b-1|与3(a-2)^2互为相反数,求ab的值.
已知|ab+2|与(a+1)^2互为相反数,则a+b的值为多少?
已知3|A-1|与2(AB-3)^2互为相反数,求a+b的值
已知|a+b-1|与(a-2b+3)互为相反数,求ab的相反数的平方根
已知/ab-2/与（b-1)的平方互为相反数,求a,b的值
已知2ab的绝对值与(b-1)是互为相反数,求a+b的值
已知（a-3）2与（b-1）2互为相反数，求代数式（ab
(3)已知|ab-2|与|b-1|互为相反数,求代数式 1/(ab)+1/[(a+1)(b+1)]
1,已知│a-2│与│b-3│互为相反数,求ab+b分之a.