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Cone Construction Demonstration

Cone Construction Demonstration
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2019-11-17 22:17
AngleSolid GeometryGeometric Construction
This example demonstrates the geometric construction of a cone and its related properties. The core mathematical concepts involved include solid geometry, triangles, angles, distances, and orthogonal planes. The construction utilizes GeoGebra commands and objects such as Intersect, Point, Cone, Segment, Angle, Distance, and OrthogonalPlane as outlined in the construction summary. It is suitable for high school and above students studying solid geometry, geometric constructions, and spatial geometric relationships.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → A
  2. Point(zAxis) → B
  3. Cone(A, B, 5) → a_1, c, b
  4. Point(c) → C
  5. Segment(B, C) → f
  6. Segment(A, C) → g
  7. Angle(B, A, C) → α
  8. Distance(B, C) → BC
  9. OrthogonalPlane(A, f) → p
  10. Intersect(f, p) → D
  11. Segment(A, (a * D)) → h
  12. Angle((a * A), D, (a * B)) → β