已知双曲线x2/a2-y2/b2=1(a>0 b>0)的左右焦点为F1 F2点A在第一象限的图像上,若三角形AF1F2的面积为1,且tan角AF1F2=1/2,tan角AF2F1= -2 ,则双曲线的方程为
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![已知双曲线x2/a2-y2/b2=1(a>0 b>0)的左右焦点为F1 F2点A在第一象限的图像上,若三角形AF1F2的面积为1,且tan角AF1F2=1/2,tan角AF2F1= -2 ,则双曲线的方程为](/uploads/image/z/2588258-2-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFx2%2Fa2-y2%2Fb2%3D1%EF%BC%88a%3E0+b%3E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%E4%B8%BAF1+F2%E7%82%B9A%E5%9C%A8%E7%AC%AC%E4%B8%80%E8%B1%A1%E9%99%90%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8A%2C%E8%8B%A5%E4%B8%89%E8%A7%92%E5%BD%A2AF1F2%E7%9A%84%E9%9D%A2%E7%A7%AF%E4%B8%BA1%2C%E4%B8%94tan%E8%A7%92AF1F2%3D1%2F2%2Ctan%E8%A7%92AF2F1%3D+-2+%2C%E5%88%99%E5%8F%8C%E6%9B%B2%E7%BA%BF%E7%9A%84%E6%96%B9%E7%A8%8B%E4%B8%BA)
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