已知集合A={(x,y)|(y-3)/(x-2)=1},B={(x,y)|y=ax+2},若A∩B=Φ,求实数a的值答案是a=1或a=0.5

已知集合A={(x,y)|(y-3)/(x-2)=1},B={(x,y)|y=ax+2},若A∩B=Φ,求实数a的值答案是a=1或a=0.5
已知集合A={(x,y)|(y-3)/(x-2)=1},B={(x,y)|y=ax+2},若A∩B=Φ,求实数a的值
答案是a=1或a=0.5

已知集合A={(x,y)|(y-3)/(x-2)=1},B={(x,y)|y=ax+2},若A∩B=Φ,求实数a的值答案是a=1或a=0.5
A={(x,y)|(y-3)/(x-2)=1}={(x,y)|y=x+1,x≠2},B={(x,y)|y=ax+2}
A∩B=Φ说明y=x+1与y=ax+2平行或A=Φ
若y=x+1与y=ax+2平行
则a=1
A=Φ
则(2,3)不在A中却在B中
则2a+2=3
所以a=1/2
所以a=1/2或1

a=0或1或1/2。用数形结合很快的。