∠∠A =∠FPB = 60，
∴AH∥PF，
∠∠B =∠EPA = 60，
∴BH∥PE，
∴ Quadrilateral EPFH is a parallelogram,
∴EF and HP are equally divided.
∴G is the midpoint of HP,
The midpoint of ef is g,
When p moves from point c to point d, g is always the midpoint of PH,
∴G's trajectory is the center line MN of triangle HCD,
And ∵MN∨CD,
The distance from ∴G to straight line AB is a certain value,
The approximate image of the functional relationship between ∴y and the movement time x of point P is a ray parallel to the Y axis (x ≥ 0).
So choose D.