In the plane rectangular coordinate system, the line y = - 2x-8 intersects the X axis and Y axis at a and B respectively, and the point P (0, K) is a moving point on the negative half axis of Y axis Take P as the center of the circle and 3 as the radius to make the circle P, (1) connect PA, if PA = Pb, try to judge the position relationship between the circle P and the X axis, (2) under the condition of (1), find the analytical formula of the straight line AP. (3) under the conditions of (1) and (2), point G is a point on the straight line AB, through point G do GH ⊥ X axis intersection straight line AP at point h, ask whether there is a point G, Let P, O, G, h as the vertex of the quadrilateral for parallelogram. If there is to find the coordinates of point G, if not, explain the reason

In the plane rectangular coordinate system, the line y = - 2x-8 intersects the X axis and Y axis at a and B respectively, and the point P (0, K) is a moving point on the negative half axis of Y axis Take P as the center of the circle and 3 as the radius to make the circle P, (1) connect PA, if PA = Pb, try to judge the position relationship between the circle P and the X axis, (2) under the condition of (1), find the analytical formula of the straight line AP. (3) under the conditions of (1) and (2), point G is a point on the straight line AB, through point G do GH ⊥ X axis intersection straight line AP at point h, ask whether there is a point G, Let P, O, G, h as the vertex of the quadrilateral for parallelogram. If there is to find the coordinates of point G, if not, explain the reason

The intersection coordinates of y = - 2x-8, X axis and Y axis are a (- 4,0), B (0, - 8) (1) Pa = Pb, that is (- 4-0) &# 178; + (0-k) &# 178; = (0-0) &# 178; + (- 8-K) &# 178; k = - 3. The point P coordinates are (0, - 3) and the circle P radius is 3, so the position relationship between circle P and X axis is tangent. (2) the analytical formula of straight line AP is (y-0