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Animation 62 of Parabola

Animation 62 of Parabola
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2016-06-24 03:45
VectorInequality
This example demonstrates the dynamic changes of a parabola. Key mathematical concepts include parabolas, vectors, and inequalities. Using GeoGebra commands such as Line, Parabola, OrthogonalLine, etc., a dynamic parabola model is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Parabola(C, a) → c
  3. OrthogonalLine(C, a) → b
  4. Point(c) → D
  5. Tangent(D, c) → d,
  6. Intersect(b, d) → E
  7. Intersect(a, b) → F
  8. Distance(E, F) → e
  9. Circle(D, (0.8 * e)) → g
  10. Segment(C, D) → h
  11. Intersect(g, d) → I, J
  12. Intersect(g, h, 1) → K
  13. CircleSector(D, K, J) → k
  14. Dilate(C, If[-0.5 < i ≤ 0.5, 0.5 - i, 0], D) → C'
  15. Segment(C, C') → j
  16. Dilate(D, If[1 < i ≤ 2, 2 - i, 0], E) → D'
  17. Vector(D, D') → u
  18. Translate(k, u) → k'
  19. Vector(D, E) → v
  20. Translate(K, v) → K'
  21. Translate(I, v) → I'
  22. Angle(I', E, K') → α
  23. CircleArc(D, K, J) → f
  24. Rotate(k', If[2 < i ≤ 3, ((-(i - 2)) * α), (-α)], E) → k''
  25. Intersect(b, a) → G
  26. Circle(G, 0.1) → p
  27. Intersect(p, a, 2) → H
  28. Intersect(p, b, 2) → L
  29. Angle(H, G, L) → β