Rotating a Rectangle: 3D Solid Geometry Demonstration

① This example demonstrates how a rectangle rotates in 3D space to generate solids like cylinders or prisms, visualizing the geometric phenomenon of a plane figure sweeping out a volume. ② Core math concepts include 3D rotation, solid geometry (cylinders, prisms), volume and surface area relationships, and transformations of polygons in space. ③ Construction highlights: using GeoGebra's Surface command to create the rotating surface, Point and Segment commands to define the rectangle's vertices and edges, with objects f, n, a, A, B, g, C, D, h, i; adjusting the rotation angle or axis reveals the evolving solid shape. ④ Suitable for upper secondary or early university students learning solid geometry, spatial reasoning, and dynamic geometry, as well as for teachers demonstrating the generation of solids of revolution in class.