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Pyramid Construction Demo by d.riley

Pyramid Construction Demo by d.riley
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2017-04-05 00:16
Solid GeometryCalculusGeometric Construction
This example demonstrates the 3D geometric construction and visualization of a pyramid. It involves core math concepts like solid geometry, integral calculus, angle measurement, and point-line-plane relationships. The construction uses GeoGebra commands and objects such as Polygon, Midpoint, OrthogonalLine, Point, Pyramid, Plane, and PointIn as detailed in the summary. Suitable for high school and above, this tool aids in teaching 3D geometry and spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Midpoint(D, B) → E
  3. OrthogonalLine(E, xOyPlane) → j
  4. Point(j) → F
  5. Pyramid(poly1, F) → a, faceABF, faceBCF, faceCDF, faceADF, edgeAF, edgeBF, edgeCF, edgeDF
  6. Plane(F, xOyPlane) → b
  7. PointIn(b) → G
  8. Pyramid(poly1, G) → c, faceABG, faceBCG, faceCDG, faceADG, edgeAG, edgeBG, edgeCG, edgeDG

AI Drawing Prompt Reference

Draw a geometric construction of a 3D pyramid, starting with a quadrilateral base, finding the midpoint of one side, drawing a perpendicular line from the midpoint to the base plane, and picking a point on this line as the pyramid's apex. Construct the pyramid using the apex and base. Then, take a point on the plane of the base and construct another pyramid using this point as an apex to show the叠加 and construction process of two pyramids.
The prompt above was compiled from the original drawing commands and is for reference only.