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Math 10 Pyramid

Math 10 Pyramid
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2018-09-19 08:58
FunctionSolid GeometryGeometric Construction
This example demonstrates the construction of a pyramid in solid geometry. Key mathematical concepts include the definition and properties of a pyramid, as well as geometric constructions. Using GeoGebra commands such as Polygon, Distance, and Pyramid, the example visually illustrates the faces and edges of the pyramid. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, D, C) → q1, a, b, d, c
  2. Distance(C, A) → distanceCA
  3. Distance(D, B) → distanceDB
  4. Distance(C, D) → distanceCD
  5. Distance(A, B) → distanceAB
  6. Pyramid(q1, f) → g, F, faceABF, faceBDF, faceCDF, faceACF, edgeAF, edgeBF, edgeDF, edgeCF
  7. Net(g, e) → h, E, faceEGJ, faceGHK, faceHIL, faceEIM, edgeEG, edgeGH, edgeHI, edgeEI, edgeEJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeEM, H, I, J, K, L, M, faceEGHI
  8. OrthogonalLine(F, faceEGHI) → i
  9. Distance(B, D) → distanceBD
  10. Point(edgeGH) → N
  11. Line(N, J) → j
  12. Point(edgeEG) → O
  13. Segment(O, J) → l

AI Drawing Prompt Reference

Draw a 3D pyramid with a square base and four triangular faces. The base is a square, and each vertex connects to the apex to form triangular faces. Show the intersection lines, which are the edges. Keep the drawing clear and proportions appropriate for educational use.
The prompt above was compiled from the original drawing commands and is for reference only.