Triangular Pyramid Construction and Net Demonstration
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① This example demonstrates the 3D construction of a triangular pyramid and its net. ② Core mathematical concepts include solid geometry topics such as pyramids, faces, edges, vertices, and unfolding nets. ③ Construction highlights: GeoGebra commands Polygon, Pyramid, Net, and PointIn are used to create vertices A, B, C, E, base polygon poly1, lateral faces faceABE, faceBCE, faceACE, edges edgeAE, edgeBE, edgeCE, and the corresponding net objects (e.g., faceDFG, edgeDF). ④ Suitable for high‑school solid geometry instruction, geometric construction practice, and 3D visualization demonstrations.
GeoGebra Commands & Parameters
Polygon(A, B, 3) → poly1, a, b, c, CPyramid(poly1, e) → f, E, faceABE, faceBCE, faceACE, edgeAE, edgeBE, edgeCENet(f, d) → g, D, faceDGJ, edgeDF, edgeFG, edgeDG, edgeDH, edgeFH, edgeFI, edgeGI, edgeGJ, edgeDJ, F, G, H, I, J, faceDFG, faceDFH, faceFGIPointIn(faceDFG) → PointfaceDFGPointIn(faceFGI) → PointfaceFGIPointIn(faceDGJ) → PointfaceDGJPointIn(faceDFH) → PointfaceDFH