<紧急>(求过程)已知A={-1,a^2-3,a^2+1}.B={a-3,a-1,a+1}若{-2}属于且不等于A,{-2}属于且不等于B,...

kuaidi.ping-jia.net  作者:佚名   更新日期:2024-07-06
已知b/a=1/3,且3a+2b=2/3.a和b各等于多少?

解:
a/b=1/3,a=b/3,
3a+2b=3/2
b+2b=3/2,b=1/2,
a,=(1/2)/3=1/6

解: ∵a/b=2/3
∴a=2b/3
(a-b+1)/(a+b-5)
=(2b/3-b+1)/(2b/3+b-5)
=-(b-3)/5(b-3)
=-1/5.

因为{-2}属于且不等于A,所以求出a^2-3=-2,所以a=1and-1
又{-2}属于且不等于B
所以A{-1,-2,2}
a=-1时,B{-4,-2,0};a=1时,B{-2,0,2}
但C是什么?
我猜是C=A∩B
则,a=-1时,C={-2}
a=1时,C={-2,2}

题目的叙述有误吧~~{-2}和A都是集合,他们之间不能用属于连接而应该用包含于。
此题-2属于A,而a^2+1和-1都不等于-2,所以a^2-3=-2,a=正负1。
有若a=-1,则a-1=-2属于B,若a=1,则a-3=-2属于B,均与题意不合。

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