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Sphere Interactive Demo

Sphere Interactive Demo
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2018-05-20 21:08
FunctionTrigonometrySolid GeometryProbability & StatisticsGeometric Construction
This example demonstrates the geometric properties and interactive operations of a sphere, involving core math concepts like sphere, scalene triangles, quadratic equations, normal distribution, Poisson distribution, and similar triangles. It is constructed using GeoGebra commands such as Line, Point, Ellipse, Intersect, Segment, Midpoint, Circle, and is suitable for high school mathematics learners and teachers for geometry and probability & statistics education.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → D
  3. Point(a) → F
  4. Ellipse(D, F, G) → c
  5. Intersect(c, a, 1) → H
  6. Intersect(c, a, 2) → I
  7. Segment(H, I) → b
  8. Midpoint(b) → J
  9. Circle(J, I) → d
  10. Circle(J, F) → e
  11. Segment(J, F) → f
  12. Line(A_1, B_1) → a_1
  13. Point(a_1) → D_1
  14. Point(a_1) → F_1
  15. Ellipse(D_1, F_1, G_1) → c_1
  16. Intersect(c_1, a_1, 1) → H_1
  17. Intersect(c_1, a_1, 2) → I_1
  18. Segment(H_1, I_1) → b_1
  19. Midpoint(b_1) → J_1
  20. Circle(J_1, I_1) → d_1
  21. Circle(J_1, F_1) → e_1
  22. Segment(J_1, F_1) → f_1
  23. Line(A_2, B_2) → a_2
  24. Point(a_2) → D_2
  25. Point(a_2) → F_2
  26. Ellipse(D_2, F_2, G_2) → c_2
  27. Intersect(c_2, a_2, 1) → H_2
  28. Intersect(c_2, a_2, 2) → I_2
  29. Segment(H_2, I_2) → b_2
  30. Midpoint(b_2) → J_2
  31. Circle(J_2, I_2) → d_2
  32. Circle(J_2, F_2) → e_2
  33. Segment(J_2, F_2) → f_2

AI Drawing Prompt Reference

Create three identical geometric scenes arranged in parallel. In each scene, draw a horizontal line with two movable points on it. Using these two points and a fixed third point, construct an ellipse that intersects the line at two points. Connect these intersection points to form a segment, then find its midpoint. Draw two circles centered at this midpoint, one passing through each intersection point, and connect the midpoint to one of the movable points with a segment. This illustrates sphere-related geometric properties and interactive operations.
The prompt above was compiled from the original drawing commands and is for reference only.