已知椭圆C的方程为x2/a2+y2/b2=1(a>b>0),左右焦点分别为F1、F2,焦距为4,点M是椭圆C上一点,满足∠F1MF2=60°,且S△F1MF2=4/3√3(1) 求椭圆C的方程(2) 过点P(0,2)分别作直线PA、PB交椭圆C于A
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![已知椭圆C的方程为x2/a2+y2/b2=1(a>b>0),左右焦点分别为F1、F2,焦距为4,点M是椭圆C上一点,满足∠F1MF2=60°,且S△F1MF2=4/3√3(1) 求椭圆C的方程(2) 过点P(0,2)分别作直线PA、PB交椭圆C于A](/uploads/image/z/5372617-49-7.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%E7%9A%84%E6%96%B9%E7%A8%8B%E4%B8%BAx2%2Fa2%2By2%2Fb2%3D1%EF%BC%88a%EF%BC%9Eb%EF%BC%9E0%EF%BC%89%2C%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF1%E3%80%81F2%2C%E7%84%A6%E8%B7%9D%E4%B8%BA4%2C%E7%82%B9M%E6%98%AF%E6%A4%AD%E5%9C%86C%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E6%BB%A1%E8%B6%B3%E2%88%A0F1MF2%3D60%C2%B0%2C%E4%B8%94S%E2%96%B3F1MF2%3D4%2F3%E2%88%9A3%EF%BC%881%EF%BC%89++%E6%B1%82%E6%A4%AD%E5%9C%86C%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89++++%E8%BF%87%E7%82%B9P%EF%BC%880%2C2%EF%BC%89%E5%88%86%E5%88%AB%E4%BD%9C%E7%9B%B4%E7%BA%BFPA%E3%80%81PB%E4%BA%A4%E6%A4%AD%E5%9C%86C%E4%BA%8EA)
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