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Irregular Pyramid

Irregular Pyramid
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2019-05-17 08:52
PolygonSolid GeometryGeometric Construction
This example demonstrates the geometric construction and net of an irregular pyramid, involving core math concepts like solid geometry, polygon construction, similarity transformation, and quadratic functions. Key GeoGebra commands/objects used include Polygon, Point, Pyramid, and Net, making it suitable for high school and above students studying spatial geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(E, A, B, C, D) → poly1, e, a, b, c, d
  2. Point(zAxis) → F
  3. Pyramid(poly1, F) → f, faceAEF, edgeDF, faceABF, faceBCF, faceCDF, faceDEF, edgeEF, edgeAF, edgeBF, edgeCF
  4. Net(f, g) → h, G, P, faceGHIJK, faceGHL, faceHIM, faceIJN, faceJKO, faceGKP, edgeGH, edgeHI, edgeIJ, H, edgeJK, edgeGK, edgeGL, edgeHL, edgeHM, edgeIM, edgeIN, edgeJN, edgeJO, edgeKO, I, edgeKP, edgeGP, J, K, L, M, N, O

AI Drawing Prompt Reference

Draw an irregular quadrilateral pyramid and its net. Start with an arbitrary quadrilateral as the base, place a point directly above it as the apex, and connect the apex to each base vertex to form four triangular lateral faces. Then unfold the pyramid along one lateral edge to create a flat net consisting of the base quadrilateral and four triangles, each preserving its original shape and size, with adjacent faces sharing an edge. Show the correspondence between the 3D solid and its 2D net.
The prompt above was compiled from the original drawing commands and is for reference only.