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Parabola 1

Parabola 1
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2017-04-27 19:00
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties of a parabola. It involves the basic definition and construction methods of a parabola. Using GeoGebra commands such as OrthogonalLine, Point, Segment, etc., it dynamically shows the process of generating a parabola. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. OrthogonalLine(F, r) → o
  2. Point(ky) → X1
  3. Segment(F, X1) → f
  4. OrthogonalLine(X1, r) → g
  5. Intersect(r, g) → A
  6. Segment(X1, A) → h
  7. Point(ky) → X2
  8. Segment(X2, F) → i
  9. OrthogonalLine(X2, r) → j
  10. Intersect(r, j) → B
  11. Segment(X2, B) → k
  12. Segment(F, V) → n
  13. Intersect(r, o) → C
  14. Segment(V, C) → m
  15. OrthogonalLine(F, o) → s
  16. Intersect(ky, s, 1) → E
  17. Segment(E, F) → t
  18. Ray(LP, pv) → hd
  19. Ray(L_5, pv) → h_5
  20. Ray(L_4, pv) → h_4
  21. Ray(L_3, pv) → h_3
  22. Ray(L_2, pv) → h_2
  23. Ray(L_1, pv) → h_1
  24. Ray(P_5, pv) → d_5
  25. Ray(P_4, pv) → d_4
  26. Ray(P_3, pv) → d_3
  27. Ray(P_2, pv) → d_2
  28. Ray(P_1, pv) → d_1
  29. Segment(L_1, F) → l_1
  30. Segment(L_2, F) → l_2
  31. Segment(L_3, F) → l_3
  32. Segment(L_4, F) → l_4
  33. Segment(L_5, F) → l_5
  34. Segment(LP, F) → lp
  35. Segment(P_1, F) → p_1
  36. Segment(P_2, F) → p_2
  37. Segment(P_3, F) → p_3
  38. Segment(P_4, F) → p_4
  39. Segment(P_5, F) → p_5