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Parabola and Electron Motion

Parabola and Electron Motion
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2016-10-02 09:31
VectorFunctionCoordinate Geometry
This example demonstrates the relationship between a parabola and electron motion. Key mathematical concepts include parabolas, vectors, and functions. Using GeoGebra commands such as OrthogonalLine, Tangent, and Translate, the construction of a parabola and electron trajectory is shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. OrthogonalLine(D, xAxis) → i
  2. Circle(D, uy) → k
  3. Intersect(k, i, 2) → G
  4. Point(f) → N
  5. Tangent(N, f) → b
  6. Point(f) → Γ
  7. OrthogonalLine(Γ, xAxis) → c
  8. Intersect(f, xAxis, 1) → AηK
  9. Intersect(c, xAxis) → B
  10. Midpoint(AηK, B) → M
  11. Segment(AηK, B) → d
  12. Point(p) → A
  13. Point(p) → C
  14. Conic(Γ, N, AηK, C, A) → e
  15. Focus(e) → Estia, H
  16. Intersect(k, i, 1) → E_1
  17. Circle(D, u0) → q_1
  18. OrthogonalLine(D, yAxis) → j
  19. Intersect(q_1, j, 1) → F
  20. Vector(D, F) → v
  21. Vector(D, G) → u
  22. Translate(D, w) → D'
  23. Vector(D, D') → l