F1F2分别为椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右两焦点,A是椭圆C的顶点B是直线AF2与椭圆C的一个交点,∠F1AF2=60°(1)求椭圆C的离心率(2)已知三角形AF1B的面积为40√3(40根号3),求a,b的值我解出来
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![F1F2分别为椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)的左右两焦点,A是椭圆C的顶点B是直线AF2与椭圆C的一个交点,∠F1AF2=60°(1)求椭圆C的离心率(2)已知三角形AF1B的面积为40√3(40根号3),求a,b的值我解出来](/uploads/image/z/11639812-4-2.jpg?t=F1F2%E5%88%86%E5%88%AB%E4%B8%BA%E6%A4%AD%E5%9C%86C%3Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E4%B8%A4%E7%84%A6%E7%82%B9%2CA%E6%98%AF%E6%A4%AD%E5%9C%86C%E7%9A%84%E9%A1%B6%E7%82%B9B%E6%98%AF%E7%9B%B4%E7%BA%BFAF2%E4%B8%8E%E6%A4%AD%E5%9C%86C%E7%9A%84%E4%B8%80%E4%B8%AA%E4%BA%A4%E7%82%B9%2C%E2%88%A0F1AF2%3D60%C2%B0%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%E5%B7%B2%E7%9F%A5%E4%B8%89%E8%A7%92%E5%BD%A2AF1B%E7%9A%84%E9%9D%A2%E7%A7%AF%E4%B8%BA40%E2%88%9A3%EF%BC%8840%E6%A0%B9%E5%8F%B73%EF%BC%89%2C%E6%B1%82a%2Cb%E7%9A%84%E5%80%BC%E6%88%91%E8%A7%A3%E5%87%BA%E6%9D%A5)
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