Question

已知集合A={(x,y)|y=x^2},集合B={(x,y)|y=-x^2+m},其中m是实数,全集U={(x,y)|x

Answer 1

A={(x,y)|y=x^2}

B={(x,y)|y=-x^2+m}

U={(x,y)|x∈R,y∈R}

1.

CuA={(x,y)|y≠x^2}

2.

令x^2=-x^2+m

所以x^2=m/2

①若m0

则x=±√(m/2),y=m/2

所以A∩B={(-√(m/2),m/2),(√(m/2),m/2)}