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Boat Coordinate Game by Siv Svendsen

Boat Coordinate Game by Siv Svendsen
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2016-02-15 16:26
VectorCoordinate GeometryGeometric Construction
This example demonstrates a game where players locate submarines using coordinates in a coordinate system. Core math concepts include coordinate geometry, vector operations, and geometric constructions. Construction highlights: Utilizes GeoGebra commands and objects such as Random, Circle, Ray, OrthogonalLine, Intersect, CircumcircleArc, Midpoint, Sequence, If, Segment, Polygon, Line, Rotate, Mod, Point. Suitable for middle school and above students to practice coordinate geometry and vector knowledge, enhancing spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → bb
  2. Random(-10, 10) → aa
  3. Random(-10, 10) → cc
  4. Random(4, 15) → rr
  5. Circle(A, (((1.5 * v) - 1) * rr)) → c'
  6. Ray(A, (0, 0)) → a
  7. OrthogonalLine(A, a) → b
  8. Intersect(c', b) → B, C
  9. Intersect(c', a) → D, T
  10. CircumcircleArc(B, D, C) → d
  11. Midpoint(C, D) → E
  12. Midpoint(B, D) → F_2
  13. Ray(A', E) → e
  14. Ray(A', F_2) → f
  15. Intersect(d, e) → G,
  16. Intersect(d, f) → H,
  17. CircumcircleArc(G, D, H) → g
  18. Circle(I, 1) → h
  19. Sequence(Text[If[s < 10, " ", ""] + (s), (21.6 + (2 * Mod[s - 1, 3]), 7.75 - (2 * Div[s - 1, 3]))], s, 1, 12) → liste3
  20. Circle(J, 1) → k
  21. Sequence(Text[If[s ≟ 1, " ", If[s < 5, " ", ""]] + ((30 * (s - 1))) + "º", (21.25 + (2 * Mod[s - 1, 3]), -6.25 - (2 * Div[s - 1, 3]))], s, 1, 12) → liste4
  22. If(yB > -5, 5°, ((((xB - (3 * yB)) / 2 - 19 - 1) * 30))°) → ang
  23. If(ang ≟ α ∧ dist ≟ rr, true, false) → raz
  24. Segment(O, N) → m
  25. Circle(A, (((2 * v) - 1) * rr) - n) → p
  26. Sequence(Circle[A, (((1.5 * v) - 1) * rr) - i], i, 0, n, n / 10) → liste5
  27. Polygon(P, Q, R, S) → poly1, p_1, q, r_1, s
  28. Circle((0, 0), If[((2 * v) * rr) > 12, 0, ((2 * v) * rr)]) → c
  29. Midpoint(K, L) → U
  30. Midpoint(U, L) → V
  31. Midpoint(U, V) → W
  32. Midpoint(V, L) → Z
  33. Segment(K, C_1) → l
  34. Line(A, l) → i
  35. Segment(A, U) → t
  36. Intersect(c, t) → A_1, B_1
  37. Segment(U, A_1) → a_1
  38. Rotate(C_1, (6 * v), U) → L'
  39. Segment(U, L') → b_1
  40. Mod((v * 100), 2) → ab
  41. Segment(O, D_1) → j
  42. Circle(O, C_1) → g_1
  43. Point(g_1) → E_1
  44. Segment(O, E_1) → h_1
  45. Circle(F_1, 6.5 - abs(r / 4.5)) → q_1
  46. Line(F_1, l) → i_1
  47. Intersect(q_1, i_1) → G_1, H_1
  48. Line(J_1, r_1) → j_1
  49. Point(j_1) → N_1
  50. Line(N_1, l) → l_1
  51. Line(J_1, l) → m_1
  52. Point(m_1) → O_1
  53. Point(l_1) → P_1
  54. Intersect(l_1, r_1) → M_1
  55. Polygon(M_1, N_1, J_1, F) → poly2, m_2, n_1, j_2, f_2
  56. Point(l_1) → Q_1
  57. Point(m_1) → R_1
  58. Polygon(P_1, Q_1, R_1, O_1) → poly3, p_2, q_2, r_2, o_1
  59. Point(j_1) → S_1
  60. Polygon(S_1, T_1, O_1, J_1) → poly4, s_1, t_1, o_2, j_3
  61. Midpoint(s_1) → V_1
  62. Midpoint(o_2) → W_1
  63. Midpoint(S_1, J_1) → Z_1
  64. Midpoint(t_1) → A_2
  65. Segment(V_1, W_1) → a_2
  66. Segment(Z_1, A_2) → b_2
  67. Intersect(b_2, a_2) → B_2
  68. Circle(B_2, V_1) → c_2
  69. Sequence((x(O) + i, y(D_1)), i, -11, 11, 1) → liste1
  70. Sequence((x(N) + i, y(N)), i, -11, 11, 1) → liste6
  71. Sequence((x(C_1), y(C_1) + i), i, -11, 11, 1) → liste7
  72. Sequence((x(E_1), y(E_1) + i), i, -11, 11, 1) → liste8
  73. Ray(M_1, T_1) → c_1
  74. Sequence(Segment[Element[liste8, i], Element[liste7, i]], i, 0, 22) → liste10
  75. Sequence((x(D_1) + i, 0), i, -11, 11) → liste2
  76. Sequence(Segment[Element[liste1, i], Element[liste6, i]], i, 0, 22) → liste9
  77. Line(S, P) → d_1
  78. Line(J_1, S_1) → e_1
  79. Line(Q_1, e_1) → f_1
  80. Intersect(d_1, s) → M
  81. Intersect(d_1, f_1) → C_2
  82. Line(R, d_1) → k_1
  83. Intersect(e_1, k_1) → D_2
  84. Polygon(S, C_2, Q_1, S_1, D_2, R) → poly5, s_2, c_3, q_3, s_3, d_2, r_3
  85. Point(d_1) → E_2
  86. Line(E_2, p_1) → e_2
  87. Intersect(k_1, e_2) → G_2
  88. Polygon(E_2, P, Q, G_2) → poly6, e_3, p_3, q_4, g_2
  89. Sequence(O + (i, 0), i, -10, 10) → liste11
  90. Sequence(O + (0, i), i, -10, 10) → liste12
  91. Sequence(i, i, -10, 10) → liste13
  92. Sequence(Text[Element[liste13, i], (x(Element[liste11, i] - 0.42), y(Element[liste11, i] - 0.85))], i, 1, Length[liste13], 2) → liste14
  93. Sequence(Text[Element[liste13, i], (x(Element[liste12, i] - 1), y(Element[liste12, i] - 0.31))], i, 1, Length[liste13], 2) → liste15

AI Drawing Prompt Reference

Draw a submarine location game in a coordinate system. Start by randomly selecting a point A on the x-axis, then select a point B on a circle centered at A. Construct a perpendicular line b to the x-axis through A, intersecting the circle c' at points B and C. Next, construct a perpendicular line a to the y-axis through A, intersecting the circle c' at points D and T. Then, construct a circular arc d with B and D as the chord, and find its midpoint E and F. Construct two rays e and f through E and F, intersecting arc d at points G and H. Construct another circular arc g with G and D as the chord. Draw a unit circle h and angle labels. Finally, construct a series of circles and line segments to form a complex geometric figure.
The prompt above was compiled from the original drawing commands and is for reference only.