Surface Area of a Cylinder: Dynamic Exploration

① This GeoGebra example dynamically demonstrates the surface area of a cylinder in 3D, showing two circular bases and a rectangular lateral surface. ② Core math concepts include the cylinder surface area formula S=2πr²+2πrh, circle area, rectangle area, and the unfolding of a solid into plane shapes. ③ Construction uses the Intersect command to create intersection points, Point to define key vertices, and Cylinder to generate the solid, with objects A, B, a, c, d, b controlling dimensions and positions for interactive adjustment. ④ Suitable for middle school (grades 8-9) and high school geometry lessons, as well as introductory college geometry, helping learners visualize and derive the surface area formula.