设椭圆C:x^2/a^2+y^2/b^2=1(a>0,b>0)的左右焦点分别为F1,F2,上顶点为A,在X轴负半轴上有一点B,满足满足向量BF1=向量F1F2,且AB⊥AF2.(1)求椭圆C的离心率(2)若过A,B,F2三点的圆恰好与直线X-根号3Y-3=0相
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![设椭圆C:x^2/a^2+y^2/b^2=1(a>0,b>0)的左右焦点分别为F1,F2,上顶点为A,在X轴负半轴上有一点B,满足满足向量BF1=向量F1F2,且AB⊥AF2.(1)求椭圆C的离心率(2)若过A,B,F2三点的圆恰好与直线X-根号3Y-3=0相](/uploads/image/z/3703789-37-9.jpg?t=%E8%AE%BE%E6%A4%AD%E5%9C%86C%EF%BC%9Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3E0%2Cb%3E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF1%2CF2%2C%E4%B8%8A%E9%A1%B6%E7%82%B9%E4%B8%BAA%2C%E5%9C%A8X%E8%BD%B4%E8%B4%9F%E5%8D%8A%E8%BD%B4%E4%B8%8A%E6%9C%89%E4%B8%80%E7%82%B9B%2C%E6%BB%A1%E8%B6%B3%E6%BB%A1%E8%B6%B3%E5%90%91%E9%87%8FBF1%3D%E5%90%91%E9%87%8FF1F2%2C%E4%B8%94AB%E2%8A%A5AF2.%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86C%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%EF%BC%882%EF%BC%89%E8%8B%A5%E8%BF%87A%2CB%2CF2%E4%B8%89%E7%82%B9%E7%9A%84%E5%9C%86%E6%81%B0%E5%A5%BD%E4%B8%8E%E7%9B%B4%E7%BA%BFX-%E6%A0%B9%E5%8F%B73Y-3%3D0%E7%9B%B8)
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