已知椭圆C:x^2/a^2+y^2/3=1(a>根号3)的左右焦点分别为F1F2,上顶点为点A,点Q满足QF2向量=2F1F2向量,且以QF2为直径的圆恰好通过点A,(1)求椭圆C的标准方程(2)若点P为椭圆C上的动点,求PQ向量乘
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![已知椭圆C:x^2/a^2+y^2/3=1(a>根号3)的左右焦点分别为F1F2,上顶点为点A,点Q满足QF2向量=2F1F2向量,且以QF2为直径的圆恰好通过点A,(1)求椭圆C的标准方程(2)若点P为椭圆C上的动点,求PQ向量乘](/uploads/image/z/8791703-71-3.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%EF%BC%9Ax%5E2%2Fa%5E2%2By%5E2%2F3%3D1%EF%BC%88a%EF%BC%9E%E6%A0%B9%E5%8F%B73%EF%BC%89%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF1F2%2C%E4%B8%8A%E9%A1%B6%E7%82%B9%E4%B8%BA%E7%82%B9A%2C%E7%82%B9Q%E6%BB%A1%E8%B6%B3QF2%E5%90%91%E9%87%8F%3D2F1F2%E5%90%91%E9%87%8F%2C%E4%B8%94%E4%BB%A5QF2%E4%B8%BA%E7%9B%B4%E5%BE%84%E7%9A%84%E5%9C%86%E6%81%B0%E5%A5%BD%E9%80%9A%E8%BF%87%E7%82%B9A%2C%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86C%E7%9A%84%E6%A0%87%E5%87%86%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89%E8%8B%A5%E7%82%B9P%E4%B8%BA%E6%A4%AD%E5%9C%86C%E4%B8%8A%E7%9A%84%E5%8A%A8%E7%82%B9%2C%E6%B1%82PQ%E5%90%91%E9%87%8F%E4%B9%98)
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