已知集合A={(x,y) | (y-3)/(x-2)=a+1},B={(x,y) |(a^2-1)+(a-1)y=15},且A∩B=空集,求实数a的值.
问题描述:
已知集合A={(x,y) | (y-3)/(x-2)=a+1},B={(x,y) |(a^2-1)+(a-1)y=15},且A∩B=空集,求实数a的值.
a^2-1 就是a的2次方哈
答
集合A={(x,y) | (y-3)/(x-2)=a+1},B={(x,y) |(a^2-1)x+(a-1)y=15},且A∩B=空集,对于:(y-3)/(x-2)=a+1y=(a+1)(x-2)+3带入B (a^2-1)x+(a-1)y=15 (a^2-1)x+(a-1)[(a+1)(x-2)+3]=15整理:(a^...