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:期末考试 难易度:较易

    已知\(P\)是椭圆\(C:\dfrac{x^{2}}{a^{2}}+\dfrac{y^{2}}{b^{2}}=1\left({a>b>0}\right)\)上的点,\(F_{1}\),\(F_{2}\)分别是\(C\)的左,右焦点,\(O\)是坐标原点,若\(\left|{\overrightarrow {OP}+\overrightarrow {OF}_{2}}\right|=2\left|{\overrightarrow {OF}_{1}}\right|\)且\(∠F_{1}PF_{2}=60°\),则椭圆的离心率为\((\quad)\)

    A. \(\dfrac{1}{2}\) B. \(\dfrac{\sqrt[]{3}}{2}\) C. \(\dfrac{\sqrt[]{3}-1}{2}\) D. \(\dfrac{\sqrt[]{3}}{3}\)
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