MathPlotAI Logo MathPlotAI

Parabola Antenna Mirror Model

Parabola Antenna Mirror Model
Loading the math board and drawing, please wait…
2018-08-28 23:05
VectorFunctionCoordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric construction and optical properties of a parabolic antenna mirror. It involves core mathematical concepts such as parabola, coordinate geometry, linear equations, and geometric transformations. Construction highlights include using GeoGebra commands like Intersect, Point, Line, Parabola, Circle, Segment, OrthogonalLine, Mirror, and Vector. Suitable for high school students and learners needing to understand parabolic antenna principles.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Line(A, B) → a
  4. Point(xAxis) → C
  5. Line(A, C) → b
  6. Point(b) → F
  7. Parabola(F, a) → c
  8. Point(c) → D
  9. Point(c) → E
  10. Point(c) → G
  11. Point(c) → H
  12. Point(c) → I
  13. Point(c) → J
  14. Point(c) → K
  15. Line(D, b) → d
  16. Line(E, b) → e
  17. Line(G, b) → f
  18. Line(H, b) → g
  19. Line(I, b) → h
  20. Line(J, b) → i
  21. Line(K, b) → j
  22. Circle(D, 0.1) → k
  23. Circle(E, 0.1) → p
  24. Circle(G, 0.1) → q
  25. Circle(H, 0.1) → r
  26. Circle(I, 0.1) → s
  27. Circle(J, 0.1) → t
  28. Circle(K, 0.1) → c_1
  29. Intersect(c, k, 2) → L
  30. Intersect(c, k, 1) → M
  31. Intersect(c, p, 2) → N
  32. Intersect(c, p, 1) → O
  33. Intersect(c, q, 2) → P
  34. Intersect(c, q, 1) → Q
  35. Intersect(c, r, 2) → R
  36. Intersect(c, r, 1) → S
  37. Intersect(c, s, 2) → T
  38. Intersect(c, s, 1) → U
  39. Intersect(c, t, 2) → V
  40. Intersect(c, t, 1) → W
  41. Intersect(c, c_1, 2) → Z
  42. Intersect(c, c_1, 1) → A_1
  43. Segment(L, M) → l
  44. Segment(N, O) → m
  45. Segment(P, Q) → n
  46. Segment(R, S) → a_1
  47. Segment(T, U) → b_1
  48. Segment(V, W) → d_1
  49. Segment(Z, A_1) → e_1
  50. OrthogonalLine(D, l) → f_1
  51. OrthogonalLine(E, m) → g_1
  52. OrthogonalLine(G, n) → h_1
  53. OrthogonalLine(H, a_1) → i_1
  54. OrthogonalLine(I, b_1) → j_1
  55. OrthogonalLine(J, d_1) → k_1
  56. OrthogonalLine(K, e_1) → l_1
  57. Point(d) → B_1
  58. Point(e) → C_1
  59. Point(f) → D_1
  60. Point(g) → E_1
  61. Point(h) → F_1
  62. Point(i) → G_1
  63. Point(j) → H_1
  64. Mirror(B_1, f_1) → I_1
  65. Mirror(C_1, g_1) → J_1
  66. Mirror(D_1, h_1) → K_1
  67. Mirror(E_1, i_1) → L_1
  68. Mirror(F_1, j_1) → M_1
  69. Mirror(G_1, k_1) → N_1
  70. Mirror(H_1, l_1) → O_1
  71. Vector(D, I_1) → u
  72. Vector(E, J_1) → v
  73. Vector(G, K_1) → w
  74. Vector(H, F) → u_1
  75. Vector(H, L_1) → v_1
  76. Vector(I, M_1) → w_1
  77. Vector(J, N_1) → m_1
  78. Vector(K, O_1) → n_1