积极 AI Logo 积极 AI

几何作图范例 by HeMan123

几何作图范例 by HeMan123
几何画板及绘图内容加载中，请稍等……
2017-12-05 22:39
圆多边形三角函数解析几何几何作图
这个范例演示了如何通过 GeoGebra 命令构造几何图形，涉及的核心数学概念包括整数、概率、三角函数、坐标几何和等边三角形。作图要点包括使用线段、圆、交点、旋转、角度、射线和多边形等 GeoGebra 命令；适合初中及以上学段学习几何作图和解析几何。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. Circle(A, B) → c_1
  3. Circle(B, A) → d_1
  4. Intersect(c_1, d_1, 1) → C
  5. Segment(C, A) → g_1
  6. Segment(B, C) → h_1
  7. Rotate(D, 60°, E) → D'
  8. Angle(D, E, D') → α
  9. Segment(D, E) → i
  10. Segment(E, D') → j
  11. Circle(E, 4) → e_1
  12. Intersect(e_1, i, 1) → F
  13. Intersect(e_1, j, 1) → G
  14. Circle(F, 4) → k
  15. Circle(G, 4) → p
  16. Intersect(k, p, 2) → H
  17. Segment(H, E) → l
  18. Rotate(b_1, 25°, a_1) → c_2
  19. Angle(b_1, a_1, c_2) → β
  20. Segment(b_1, a_1) → m
  21. Segment(c_2, a_1) → n
  22. Circle(a_1, 3) → q
  23. Intersect(q, m, 1) → d_2
  24. Intersect(q, n, 1) → e_2
  25. Ray(g, h) → r
  26. Circle(g, 3) → s
  27. Intersect(s, r, 1) → I
  28. Segment(d_2, e_2) → t
  29. Circle(I, 1.3) → f_1
  30. Intersect(s, f_1, 1) → J
  31. Ray(g, J) → i_1
  32. Segment(a_2, b_2) → j_1
  33. Circle(a_2, 10.088889039873256) → k_1
  34. Circle(b_2, 9.877200634618088) → p_1
  35. Intersect(k_1, p_1, 1) → d_3
  36. Intersect(k_1, p_1, 2) → c_3
  37. Segment(d_3, c_3) → l_1
  38. Intersect(j_1, l_1) → e
  39. Segment(K, L) → m_1
  40. Circle(K, 5.047389082576646) → q_1
  41. Circle(L, 5.148910498455693) → r_1
  42. Intersect(q_1, r_1, 1) → M
  43. Intersect(q_1, r_1, 2) → N
  44. Segment(M, N) → n_1
  45. Intersect(m_1, n_1) → O
  46. Circle(M, 4.353709594752132) → s_1
  47. Circle(O, 4.395072539574817) → t_1
  48. Intersect(s_1, t_1, 2) → P
  49. Intersect(s_1, t_1, 1) → Q
  50. Segment(P, Q) → f_2
  51. Polygon(a, b, c) → t1, t_2, r_2, s_2
  52. Circle(a, 4.9119295041113675) → g_2
  53. Circle(b, 5.204069650512864) → h_2
  54. Circle(c, 4.898031168081163) → k_2
  55. Intersect(g_2, k_2, 1) → U
  56. Intersect(g_2, k_2, 2) → V
  57. Segment(U, V) → i_2
  58. Intersect(h_2, k_2, 2) → W
  59. Intersect(h_2, k_2, 1) → Z
  60. Segment(W, Z) → j_2
  61. Intersect(g_2, h_2, 2) → A_1
  62. Segment(c, A_1) → l_2
  63. Intersect(i_2, j_2) → d
  64. Polygon(R, S, T) → t2, t_3, r_3, s_3
  65. Circle(B_1, Radius[Circle[T, R, S]]) → p_2
  66. Circle(c, a, C_1) → q_2