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Rectangular Parallelepiped

Rectangular Parallelepiped
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2023-12-09 16:39
Solid GeometryGeometric ConstructionSlider Animation
In collections The GeoGebra's Toolbox for Teachers and Students
This example demonstrates the construction and properties of a rectangular parallelepiped. Key mathematical concepts include solid geometry, geometric construction, and spatial coordinates. The construction involves GeoGebra commands such as PointIn, Polygon, Prism, and sliders to adjust parameters. Suitable for middle school students to learn solid geometry and spatial visualization.

GeoGebra Commands & Parameters

  1. PointIn(z = 0) → A
  2. PointIn(z = 0) → B
  3. Segment(A, B) → f
  4. OrthogonalLine(B, f, xOyPlane) → g
  5. Point(g) → C
  6. OrthogonalLine(C, g, xOyPlane) → h
  7. OrthogonalLine(A, f, xOyPlane) → i
  8. Intersect(h, i) → D
  9. Polygon(A, B, C, D) → q1, a, b, c, d
  10. OrthogonalLine(A, xOyPlane) → j
  11. Point(j) → A'
  12. Prism(q1, A') → e, B', spigoloBF, spigoloCG, spigoloDH, spigoloEF, spigoloFG, spigoloGH, spigoloEH, C', D', facciaABFE, facciaBCGF, facciaCDHG, facciaADHE, facciaEFGH, spigoloAE
  13. Segment(A', C) → k
  14. Segment(A, C) → l
  15. Angle(D, A, B, xOyPlane) → α
  16. Angle(B, C, D, xOyPlane) → β

AI Drawing Prompt Reference

Draw a rectangular parallelepiped with six rectangular faces and eight edges. The six faces are all rectangles with equal side lengths of 1. The eight edges are AB, BC, CD, DA, EF, FG, GH, and HE. The vertices D, E, F, G, H, A, B, and C form a rectangular parallelepiped.
The prompt above was compiled from the original drawing commands and is for reference only.