It is known that parabola y ^ 2 = 2px (P > 0) and hyperbola x ^ 2 (radical 2-1) ^ 2-y ^ 2 / b ^ 2 = 1 have the same focus F, point a is the focus of two curves, and AF is vertical On the x-axis, the line L and the parabola intersect at two different points c, D If the vector OC * od = m (M is a constant) and the line l only passes through a unique point, the value of M and this point can be obtained

It is known that parabola y ^ 2 = 2px (P > 0) and hyperbola x ^ 2 (radical 2-1) ^ 2-y ^ 2 / b ^ 2 = 1 have the same focus F, point a is the focus of two curves, and AF is vertical On the x-axis, the line L and the parabola intersect at two different points c, D If the vector OC * od = m (M is a constant) and the line l only passes through a unique point, the value of M and this point can be obtained

The coordinate of focus F of parabola y ^ 2 = 2px (P & gt; 0) is (P / 2,0). Parabola and hyperbola have the same point, and point a is the intersection of two curves, so the coordinate of point a satisfies hyperbola x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 = 1