Question

已知集合A={(x,y)|x^2-y^2-y=4},B={(x,y)|x^2-xy-2y^2=0},C={(x,y)|x

Answer 1

（1）由已知可得

X^2-xy-2y^2=0

即(x+y)(x-2y)=0

∴x+y=0 或x-2y=0

∴B={(x,y)|x+y=0或x-2y=0}

∴C∈B,D∈B

C∩D={(0,0)}

(2)由A得

X^2/15/4-(y+1/2)^2/15/4=1

∴A∩B={(4,-4)}或{（-2,-1）,（8/3,4/3）}