MathPlotAI Logo MathPlotAI

Rotation Animation Demo

Rotation Animation Demo
Loading the math board and drawing, please wait…
2017-01-30 10:19
AngleVectorGeometric Construction
This example demonstrates the geometric process of angle rotation through animation. Core math concepts include angles, vectors, rotation, and geometric transformations. Construction highlights the use of GeoGebra commands and objects like CurveCartesian, Segment, Circle, Intersect, CircleArc, Angle, Ray, Vector, Mirror. Suitable for high school mathematics teaching to understand rotational transformations and vector applications.

GeoGebra Commands & Parameters

  1. CurveCartesian(((a * t) * cos(t)), ((a * t) * sin(t)), t, 0, (6 * π)) → c
  2. CurveCartesian(x(A), y(A), w, 0, (6 * π)) → b
  3. Segment(B, A) → g
  4. Circle(B, g) → d
  5. Intersect(d, y = 0) → C, D
  6. CircleArc(B, D, A) → e
  7. Angle(D, B, A) → α
  8. CurveCartesian(((a * t) * cos(t)), ((a * t) * sin(t)), t, 0, w) → h
  9. Circle(B, (1.25 * g)) → k
  10. Ray(B, A) → l
  11. Intersect(k, l, 1) → E
  12. Vector(B, E) → u
  13. Intersect(k, y = 0) → F, G
  14. Vector(B, G) → v_1
  15. Mirror(h, y = 0) → h'
  16. Mirror(E, y = 0) → E'
  17. Vector(B, E') → v
  18. Vector(B, H) → q