设集合M={x|y2=3x,x∈R},N={y|x2+y2=4,x∈R,y∈R},则M∩N等于( ) A.{3,−3} B.[-2,2] C.{(1,3),(1,−3)} D.[0,2]
问题描述:
设集合M={x|y2=3x,x∈R},N={y|x2+y2=4,x∈R,y∈R},则M∩N等于( )
A. {
,−
3
}
3
B. [-2,2]
C. {(1,
),(1,−
3
)}
3
D. [0,2]
答
由M中y2=3x≥0,得到x≥0,即M=[0,+∞),
由N中x2+y2=4,得到-2≤y≤2,即N=[-2,2],
则M∩N=[0,2].
故选:D.