设直线l⊂平面α,过平面α外一点A与l,α都成30°角的直线有( )
A.1条 B.2条 C.3条 D.4条
B
【解析】如图,和α成30°角的直线一定是以A为顶点的圆锥的母线所在直线,
当∠ABC=∠ACB=30°且BC∥l时,直线AC,AB都满足条件,故选B.