ROBLOX Logo 几何绘制

ROBLOX Logo 几何绘制
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2020-06-13 23:13
①本范例演示了如何使用 GeoGebra 绘制 ROBLOX Logo 的几何图形;②涉及的核心数学概念包括二维向量、角度、正方形、内切圆、加法、正态分布、实数、乘法等;③作图要点提炼自构造摘要,使用了 LineBisector(角平分线)、Line(直线)、OrthogonalLine(垂线)、Vector(向量)、OrthogonalVector(正交向量)、Intersect(交点)、Mirror(镜像)、Rotate(旋转)、Polygon(多边形)、CircleArc(圆弧)、Sequence(序列)等 GeoGebra 命令和对象;④适合高中数学教学,用于展示向量、几何变换和复杂图形的绘制方法。

GeoGebra 命令及参数

  1. LineBisector(A, B) → m
  2. Line(A, B) → s
  3. OrthogonalLine(A, s) → b
  4. Vector(A, B) → u
  5. OrthogonalVector(u) → v
  6. OrthogonalLine(F, b) → f
  7. OrthogonalLine(B_1, b) → a
  8. LineBisector(A_1, A) → l
  9. Intersect(m, l) → I
  10. Mirror(f, l) → f'
  11. OrthogonalLine(D, s) → i
  12. Intersect(i, f') → E
  13. OrthogonalLine(Z, i) → h
  14. OrthogonalLine(H, i) → k
  15. OrthogonalLine(N, h) → p
  16. Intersect(p, k) → O
  17. Rotate(O, (-(15°)), I) → O'_3
  18. Mirror(O, m) → O'
  19. Rotate(O', (-(15°)), I) → O''_2
  20. LineBisector(O'_3, O''_2) → n
  21. OrthogonalLine(G, b) → t
  22. OrthogonalLine(U, k) → q
  23. OrthogonalLine(A_1, b) → r
  24. OrthogonalLine(K, l) → j
  25. Intersect(t, j) → I_1
  26. OrthogonalLine(B, u, xOyPlane) → g
  27. Intersect(g, r) → C
  28. Mirror(f, l) → f'_1
  29. Mirror(F, l) → F'
  30. Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2
  31. CircleArc(I_1, K, G) → c
  32. Intersect(m, f') → J
  33. Intersect(l, i) → L
  34. Intersect(m, k) → M
  35. Intersect(l, p) → P
  36. Intersect(h, q) → R
  37. Mirror(K, m) → K'
  38. Mirror(G, l) → G'
  39. Mirror(K, l) → K'_1
  40. Mirror(G, m) → G'_1
  41. Mirror(K'_1, m) → T
  42. Mirror(G', m) → G''
  43. Mirror(O, l) → O'_1
  44. Mirror(O', l) → O''
  45. Mirror(R, m) → R'
  46. Mirror(R', l) → R''
  47. Mirror(R, l) → R'_1
  48. Polygon(G'_1, K', K, G, G', K'_1, T, G'') → polígono1, g'_1, k', k_1, g_1, g', k'_1, t_1, g''
  49. Mirror(c, m) → c'
  50. Mirror(c, l) → c'_1
  51. Mirror(c'_1, m) → d
  52. Polygon(O', O'', O'_1, O) → c1, o', o'', o'_1, o
  53. Polygon(R, R', R'', R'_1) → c2, r_1, r', r'', r'_1
  54. Rotate(O', (-(30°)), I) → O''_1
  55. Rotate(O'', (-(30°)), I) → O'''
  56. Rotate(O'_1, (-(30°)), I) → Q
  57. Rotate(O, (-(30°)), I) → O'_2
  58. Rotate(O'', (-(15°)), I) → O'''_1
  59. Rotate(O'_1, (-(15°)), I) → S
  60. Polygon(O''_2, O'''_1, S, O'_3) → c1', o''_2, o'''_1, s_1, o'_3
  61. Rotate(R, (-(15°)), I) → R'_2
  62. Rotate(R', (-(15°)), I) → R''_1
  63. Rotate(R'', (-(15°)), I) → R'''
  64. Rotate(R'_1, (-(15°)), I) → V
  65. Polygon(R'_2, R''_1, R''', V) → c2', r'_2, r''_1, r''', v_1
  66. Intersect(n, a) → W
  67. Sequence(Polygon[Dilate[S, k, O''_2], Dilate[O'''_1, k, O''_2], Dilate[O''_2, k, O''_2], Dilate[O'_3, k, O''_2]], k, 0, 1, 0.03) → l1
  68. CircleArc(W, O'_3, O''_2) → e

AI 绘图提示语参考

绘制一个ROBLOX标志,首先通过点A和B绘制线段的中垂线m,接着绘制线段AB,再绘制AB的垂线b,然后通过向量u和v构造一系列的垂线和反射线,最终通过旋转、镜像和交点构造标志的各个部分,形成一个复杂的几何图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。