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:月考试卷 难易度:中档

    双曲线\(C: \dfrac {x^{2}}{a^{2}}- \dfrac {y^{2}}{b^{2}}=1(a > 0,b > 0)\)的左、右焦点分别为\(F _{1}\),\(F _{2}\),\(M\)为\(C\)的渐近线上一点,直线\(F _{2} M\)交\(C\)于点\(N\),且\( \overrightarrow {F_{2}M}\cdot \overrightarrow {OM}=0\),\( \overrightarrow {F_{2}M}= \dfrac {3}{2} \overrightarrow {F_{2}N} (O\)为坐标原点\()\),则双曲线\(C\)的离心率为\((\:\:\:\:)\)
    A. \( \sqrt {5}\) B. \(2\) C. \( \sqrt {3}\) D. \( \sqrt {2}\)
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