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#1578dc2f-47eb-4618-b97c-ad998791bc04基础填空题椭圆标准方程与性质直线与圆+圆锥曲线

14. 如图,椭圆C:x2a2+y2b2=1(a>b>0)C:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1(a>b>0)的左、右焦点分别为F1F_{1}F2F_{2},过点F2F_{2}的直线与椭圆相交于PPQQ两点.若PF1=3\vert PF_{1}\vert =3PQ=4\vert PQ\vert =4F1Q=5\vert F_{1}Q\vert =5,则椭圆CC的方程为((  ))