已知椭圆x^2/a^2+y^2/b^2=1左焦点是F,P是椭圆上任意一点,|PF|和最大值与最小值分别为3和1(1)求椭圆的方程(2)已知点M(1,1)在椭圆内,过M的直线交椭圆于A,B两点,若/AB/=2/AM/,求直线l的斜率k
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![已知椭圆x^2/a^2+y^2/b^2=1左焦点是F,P是椭圆上任意一点,|PF|和最大值与最小值分别为3和1(1)求椭圆的方程(2)已知点M(1,1)在椭圆内,过M的直线交椭圆于A,B两点,若/AB/=2/AM/,求直线l的斜率k](/uploads/image/z/15226371-27-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%E5%B7%A6%E7%84%A6%E7%82%B9%E6%98%AFF%2CP%E6%98%AF%E6%A4%AD%E5%9C%86%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9%2C%7CPF%7C%E5%92%8C%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%8E%E6%9C%80%E5%B0%8F%E5%80%BC%E5%88%86%E5%88%AB%E4%B8%BA3%E5%92%8C1%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89%E5%B7%B2%E7%9F%A5%E7%82%B9M%EF%BC%881%2C1%EF%BC%89%E5%9C%A8%E6%A4%AD%E5%9C%86%E5%86%85%2C%E8%BF%87M%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4%E6%A4%AD%E5%9C%86%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E8%8B%A5%2FAB%2F%3D2%2FAM%2F%2C%E6%B1%82%E7%9B%B4%E7%BA%BFl%E7%9A%84%E6%96%9C%E7%8E%87k)
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