MathPlotAI Logo MathPlotAI

Cube and Solid Geometry Demonstration

Cube and Solid Geometry Demonstration
Loading the math board and drawing, please wait…
2016-12-27 02:36
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the construction of a cube and its intersection with planes, involving core math concepts like solid geometry, equations, cubes, cuboids, subtraction, and translation. Key GeoGebra commands used include Intersect, Point, Cube, Plane, IntersectPath, CornerThreeD, and OrthogonalLine. Suitable for high school and above students studying 3D geometry and spatial transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → cube, D, faceCDHG, faceEFGH, arêteAD, arêteAB_1, arêteBC, arêteCD, arêteAE, arêteDH, arêteEH, arêteEF, E, arêteBF, arêteFG, arêteCG, arêteGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Point(cube) → L
  6. Point(cube) → M
  7. Point(cube) → N
  8. Plane(L, M, N) → plan
  9. IntersectPath(plan, cube) → poly1, I, i, j, k, J, K, O, P, Q, f, g, h
  10. CornerThreeD(-1, 11) → U
  11. OrthogonalLine(A, poly1) → d
  12. Point(Circle[B, Distance[A, B], Segment[A, B]]) → R