Circular Paraboloid of Revolution: Animated Construction

① This example demonstrates the animated generation of a circular paraboloid of revolution, a surface formed by rotating a parabola around its axis of symmetry. ② Core mathematical concepts include parabolas, surfaces of revolution, spatial point-line-plane relationships, and transformations such as scaling and rotation. ③ Construction highlights: based on the summary, it uses GeoGebra commands such as PointIn, OrthogonalLine, Segment, Intersect, Dilate, Plane, IntersectPath, Point, Angle, and Rotate, with objects like a, b, P, c, F, f, g, C, h, d, e, i, B', j, A', k, l, m, D, α, β, and a button to control the animation, dynamically showing how the surface emerges as the parabola rotates. ④ Suitable for high school solid geometry or college analytic geometry courses, this example helps visualize rotational surfaces and serves as an advanced GeoGebra construction tutorial.