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3D Conic Sections

3D Conic Sections
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2019-04-24 03:31
Coordinate GeometrySolid GeometryGeometric Construction
In collections MA440
This example demonstrates 3D conic sections interactively. Key mathematical concepts include cones, planes, and sections. GeoGebra commands such as Line, Cone, Plane, and IntersectPath are used to construct the model. Suitable for high school and above students learning coordinate and solid geometry.

GeoGebra Commands & Parameters

  1. Line((shift, 0, height), (shift + 1, 0, height + tan(tilt))) → PlaneLine
  2. Cone(Ctr1, Vertex1, 1) → BottomCone, BottomConeBase, b
  3. Line((shift, -1, height), (shift, 1, height)) → AxisLine
  4. Plane(AxisLine, PlaneLine) → CuttingPlane
  5. IntersectPath(CuttingPlane, BottomCone) → BottomConeConic
  6. Cone(Ctr2, Vertex2, 1) → TopCone, TopConeBase, g
  7. IntersectPath(CuttingPlane, TopCone) → TopConeConic