From the meaning of the problem, the curve C is on the plane α with the origin O as the vertex, because on the xOy plane, CF (2 2,0,0).
Is a parabola with O as the vertex and X axis as the symmetry axis, and its equation is y2=4x.
So we can set P(y24, Y, 0)A(- 1, 0,0) and B( 1, 0,2), then AB = (2 2,0,2) and Pb = (1? y24，？ y，2)。
From P0B⊥AB, we get 2( 1? y24)+4=0？ y=23，？ P(3，23，0)
Therefore, the included angle between the straight line P0B and the plane α is arc tangent 12 (or arc tangent 33).
(Solution 2) As shown in the figure, take the point A as the origin O and the straight line where the line segment FA is located as the X axis, and establish the spatial rectangular coordinate system O-XYZ.
Therefore, a (0 0,0,0), b (2 2,0,2), f (2 2,0,0), let P(x, y, 0),
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