Surface of Revolution with Fixed Grid

① This example demonstrates how to generate a 3D surface of revolution by rotating a plane curve around an axis using GeoGebra's Surface command, with a fixed grid to clearly reveal the surface's three-dimensional structure. ② Core mathematical concepts include solids of revolution, parametric surfaces, 3D coordinate transformations, and grid parameterization, bridging function graphing and solid geometry. ③ Construction highlights: The Surface command is used with objects f1 (a function), α (the rotation axis), and parameter e; the fixed grid option controls the density of meridians and parallels, making the surface geometry explicit; adjusting parameter e changes the surface shape. ④ Suitable for high school to undergraduate mathematics education, particularly for teaching volume and surface area of revolution, or as an introductory example of parametric surfaces and 3D modeling, and for creating dynamic teaching materials.