All Cross Sections of a Triangular Pyramid

① This GeoGebra example dynamically demonstrates various cross sections of a triangular pyramid (tetrahedron) as a cutting plane moves through it, showing how the section shape changes with the plane's orientation and position. ② Core mathematical concepts include solid geometry (pyramids, cross sections), plane-polyhedron intersections, and spatial relationships among points, lines, and planes; it also uses path parameters to control the cutting plane, reflecting parametric thinking. ③ Construction highlights: the Pyramid command builds the tetrahedron, a Plane defines the cutting plane, IntersectPath computes the intersection curves with each face, Rotate and RotateText handle rotation of labels and objects, while Polygon, Line, and Ray assist in auxiliary constructions; a slider or path parameter dynamically moves the plane to explore all possible sections. ④ Suitable for high school solid geometry lessons, introductory spatial analytic geometry, or math lab activities, helping students visualize how section shapes depend on cutting direction and enhance spatial reasoning.