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平行线上的角 by Blake Churton

平行线上的角 by Blake Churton
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2017-04-22 21:00
角变换几何作图
这个范例演示了平行线上的角。核心数学概念包括平行线、同位角、内错角和同旁内角。通过使用GeoGebra命令如Point、Intersect、Angle和Line，可以构造这些角。适合初中和高中学生学习几何。

GeoGebra 命令及参数

  1. Point(f) → A
  2. Circle(A, 2) → c
  3. Intersect(c, f, 2) → B
  4. Rotate(B, (a * π / 180), A) → B'
  5. Rotate(f, (b * π / 180), A) → f'
  6. Intersect(c, f', 2) → F
  7. Rotate(F, (a * π / 180), A) → F'
  8. Angle(F, A, F') → α
  9. Line(A, F') → g
  10. Intersect(c, g, 1) → C
  11. Ray(A, F') → h
  12. Ray(A, C) → i
  13. Intersect(c, f', 1) → D
  14. Ray(A, F) → j
  15. Ray(A, C) → k
  16. Ray(A, D) → l
  17. Point(l) → E
  18. Point(h) → G
  19. Point(k) → H
  20. Point(j) → I
  21. Line(G, j) → m
  22. Circle(G, 1) → d
  23. Intersect(d, m) → J, K
  24. Intersect(d, h) → L, M
  25. Ray(G, K) → n
  26. Ray(G, J) → p
  27. Point(n) → O
  28. Point(p) → P
  29. Intersect(d, h, 2) → Q
  30. Ray(G, Q) → q
  31. Segment(A, G) → r
  32. Point(q) → N
  33. Circle(G, 1.5) → c_1
  34. Circle(A, 1.5) → d_1
  35. Intersect(c_1, n, 1) → R
  36. Intersect(c_1, q, 1) → S
  37. Intersect(c_1, p, 1) → T
  38. Intersect(c_1, r, 1) → U
  39. Intersect(d_1, j, 1) → V
  40. Intersect(d_1, r, 1) → W
  41. Intersect(d_1, l) → Z,
  42. Intersect(d_1, k, 1) → A_1
  43. CircleSector(G, R, S) → e_1
  44. CircleSector(G, S, T) → f_1
  45. CircleSector(G, T, U) → g_1
  46. CircleSector(G, U, R) → h_1
  47. CircleSector(A, V, W) → k_1
  48. CircleSector(A, W, Z) → p_1
  49. CircleSector(A, Z, A_1) → q_1
  50. CircleSector(A, A_1, V) → r_1
  51. Angle(n, q) → β
  52. Angle(j, r) → γ
  53. Angle(q, p) → δ
  54. Angle(r, l) → ε
  55. Angle(A, G, O) → ζ
  56. Angle(P, G, A) → η
  57. Angle(H, A, I) → θ
  58. Angle(E, A, H) → ι