设A,B是双曲线x²-y²/8=1的左右顶点,P是直线x=1/3上异于(1/3,0)的点,若直线AP,BP分别与双曲线交于M,N,试判断A与以MN为直径的圆的位置关系
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![设A,B是双曲线x²-y²/8=1的左右顶点,P是直线x=1/3上异于(1/3,0)的点,若直线AP,BP分别与双曲线交于M,N,试判断A与以MN为直径的圆的位置关系](/uploads/image/z/8625605-5-5.jpg?t=%E8%AE%BEA%2CB%E6%98%AF%E5%8F%8C%E6%9B%B2%E7%BA%BFx%26%23178%3B-y%26%23178%3B%2F8%3D1%E7%9A%84%E5%B7%A6%E5%8F%B3%E9%A1%B6%E7%82%B9%2CP%E6%98%AF%E7%9B%B4%E7%BA%BFx%3D1%2F3%E4%B8%8A%E5%BC%82%E4%BA%8E%EF%BC%881%2F3%2C0%29%E7%9A%84%E7%82%B9%2C%E8%8B%A5%E7%9B%B4%E7%BA%BFAP%2CBP%E5%88%86%E5%88%AB%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BF%E4%BA%A4%E4%BA%8EM%2CN%2C%E8%AF%95%E5%88%A4%E6%96%ADA%E4%B8%8E%E4%BB%A5MN%E4%B8%BA%E7%9B%B4%E5%BE%84%E7%9A%84%E5%9C%86%E7%9A%84%E4%BD%8D%E7%BD%AE%E5%85%B3%E7%B3%BB)
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