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Parabola Activity by PJ Yim

Parabola Activity by PJ Yim
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2018-03-31 05:13
Coordinate GeometryGeometric Construction
This example demonstrates the geometric properties of a parabola. Key mathematical concepts include the parabola, focus, directrix, and vertex. Using GeoGebra commands such as Point, OrthogonalLine, and LineBisector, the construction process of the parabola is dynamically shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(directrix) → B
  2. Point(directrix) → C
  3. Point(directrix) → F
  4. Point(directrix) → G
  5. Point(directrix) → J
  6. Point(directrix) → K
  7. Point(directrix) → L
  8. Point(directrix) → M
  9. Point(directrix) → N
  10. Point(directrix) → O
  11. OrthogonalLine(N, directrix) → j
  12. OrthogonalLine(M, directrix) → k
  13. OrthogonalLine(L, directrix) → l
  14. OrthogonalLine(K, directrix) → m
  15. OrthogonalLine(J, directrix) → p
  16. OrthogonalLine(B, directrix) → q
  17. OrthogonalLine(C, directrix) → s
  18. OrthogonalLine(F, directrix) → b
  19. OrthogonalLine(G, directrix) → c
  20. LineBisector(Focus, K) → r
  21. Intersect(m, r) → Q
  22. LineBisector(J, Focus) → n
  23. Intersect(p, n) → R
  24. LineBisector(Focus, L) → d
  25. Intersect(l, d) → S
  26. LineBisector(Focus, M) → e
  27. Intersect(k, e) → T
  28. LineBisector(Focus, N) → f_1
  29. Intersect(j, f_1) → U
  30. OrthogonalLine(Focus, directrix) → f
  31. Intersect(directrix, f_1) → A
  32. LineBisector(Focus, A) → g
  33. Intersect(f, g) → H
  34. LineBisector(Focus, C) → h
  35. Intersect(s, h) → I
  36. LineBisector(B, Focus) → i
  37. Intersect(q, i) → P
  38. OrthogonalLine(O, directrix) → g_1
  39. LineBisector(O, Focus) → h_1
  40. Intersect(g_1, h_1) → V
  41. LineBisector(Focus, F) → a
  42. Intersect(b, a) → E
  43. LineBisector(G, Focus) → i_1
  44. Intersect(c, i_1) → W
  45. Point(directrix) → D
  46. Point(directrix) → Z
  47. Point(directrix) → A_1
  48. OrthogonalLine(D, directrix) → t
  49. OrthogonalLine(Z, directrix) → j_1
  50. OrthogonalLine(A_1, directrix) → k_1
  51. LineBisector(D, Focus) → l_1
  52. Intersect(t, l_1) → B_1
  53. LineBisector(Z, Focus) → m_1
  54. Intersect(j_1, m_1) → C_1
  55. LineBisector(Focus, A_1) → n_1
  56. Intersect(k_1, n_1) → D_1

AI Drawing Prompt Reference

Draw a parabola with its focus, directrix, and vertex. Start by creating the focus F and directrix B, C, D, E, F, G, H, I, J, K, L, M, N, O on a line, then construct a series of perpendicular lines and angle bisectors using the focus and directrix to form the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.