职教组卷基于海量职教高考试题库建立的在线组卷及学习系统
职教组卷
  • 题型:选择题 题类:期中考试 难易度:较难

    椭圆的焦点\(F_{1}(-2 \sqrt {2},0)\),\(F_{2}(2 \sqrt {2},0)\),长轴长为\(2a\),在椭圆上存在点\(P\),使\(∠F _{1} PF _{2} =90°\),对于直线\(y=a\),在圆\(x ^{2} +(y-1) ^{2} =2\)上始终存在两点\(M\),\(N\)使得直线上有点\(Q\),满足\(∠MQN=90°\),则椭圆的离心率的取值范围是\((\:\:\:\:)\)
    A. \([ \dfrac {2 \sqrt {2}}{3},1)\) B. \([ \dfrac { \sqrt {2}}{2},1)\) C. \([ \dfrac { \sqrt {2}}{2}, \dfrac {2 \sqrt {2}}{3}]\) D. \((0, \dfrac {2 \sqrt {2}}{3}]\)
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