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Interactive Sphere and Coordinate Demo

Interactive Sphere and Coordinate Demo
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2017-10-06 03:36
Coordinate GeometrySolid GeometryProbability & StatisticsGeometric Construction
This example demonstrates the position and properties of a sphere in a 3D coordinate system interactively; involves core math concepts including sphere equations, coordinate geometry, conditional probability, binomial distribution, hypothesis testing; construction highlights use of GeoGebra commands like Intersect, Sphere, Circle, Tangent and objects A, a, B, C, D, c, E, F, d, G, H, e, f, g, h; suitable for high school and above students/teachers for teaching/exploring solid geometry, probability & statistics, and analytical geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Sphere(A, 3) → a
  3. Intersect(yAxis, a, 1) → B
  4. Intersect(xAxis, a, 1) → C
  5. Intersect(yAxis, a, 2) → D
  6. Circle(B, C, D) → c
  7. Intersect(xAxis, c, 1) → E
  8. Intersect(zAxis, a, 2) → F
  9. Circle(E, F, C) → d
  10. Intersect(yAxis, c, 1) → G
  11. Intersect(yAxis, c, 2) → H
  12. Circle(D, F, B) → e
  13. Tangent(G, e) → f,
  14. Tangent(G, c) → g,
  15. Tangent(C, d) → h,