Square Pyramid Anatomy: Modifiable Discovery Lesson

① This GeoGebra example dynamically illustrates the internal anatomy of a square pyramid, including the square base, four lateral edges, four triangular faces, and auxiliary internal lines, helping learners intuitively grasp the geometric composition of a pyramid. ② Core mathematical concepts involve solid geometry (pyramids, square base, triangular faces, edges, vertices) and plane geometry (midpoints, perpendicular lines, angles, congruent triangles, Pythagorean relations), with extensions to tangent functions and parabolas. ③ Construction highlights: from the construction summary, commands such as Intersect, Point/PointIn, Pyramid, Ray, Segment, Midpoint, Polygon, Angle, and OrthogonalLine are used, creating multiple face objects (e.g., faceACBD, faceADF) and edge objects (e.g., edgeAD, edgeAC) for dynamic adjustment. ④ Suitable for high school or early college students learning solid geometry, this serves as a classroom demonstration or self-exploration tool, allowing users to drag vertices to observe shape changes and understand relationships among edges, faces, and angles.