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Cone in Sphere

Cone in Sphere
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2018-05-02 12:06
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the geometric construction of a cone inside a sphere. Key mathematical concepts include solid geometry and geometric construction. Using GeoGebra commands such as Intersect, Sphere, and IntersectPath, the intersection lines between the cone and sphere are constructed, and the geometric properties of the cone are further analyzed. Suitable for high school and above students or teachers for teaching or self-study.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Sphere(A, B) → a
  3. IntersectPath(c, a) → d
  4. Point(d) → D
  5. Segment(C, D) → f
  6. Cone(C, B, f) → e, g, i
  7. Segment(B, C) → j
  8. Angle(B, C, D) → α
  9. Segment(A, D) → k