积极 AI Logo 积极 AI

平行线与相关角

平行线与相关角
几何画板及绘图内容加载中，请稍等……
2018-09-14 09:09
角向量几何作图
本范例通过动态演示平行线与截线形成的角的关系，帮助学生直观理解同位角、内错角、同旁内角等概念。使用了Line, Intersect, Angle, Point, Rotate, Circle, Vector等GeoGebra命令。适合初中及以上学生学习几何。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. Line(E, F) → c
  3. Intersect(a, c) → K
  4. Angle(A, K, F) → η
  5. Angle(F, K, B) → θ
  6. Line(E, a) → b
  7. Angle(B, K, E) → α
  8. Angle(E, K, A) → β
  9. Point(c) → C
  10. Point(b) → G
  11. Point(b) → H
  12. Angle(H, E, C) → γ
  13. Angle(C, E, G) → δ
  14. Angle(G, E, K) → ε
  15. Angle(K, E, H) → ζ
  16. Angle(K, E, H) → ι
  17. Angle(G, E, K) → κ
  18. Angle(B, K, E) → λ
  19. Angle(E, K, A) → μ
  20. Angle(H, E, C) → ν
  21. Angle(C, E, G) → ξ
  22. Angle(A, K, F) → ο
  23. Angle(F, K, B) → ρ
  24. Angle(H, E, C) → σ
  25. Angle(C, E, G) → τ
  26. Angle(G, E, K) → υ
  27. Angle(K, E, H) → ϕ
  28. Angle(B, K, E) → χ
  29. Angle(E, K, A) → ψ
  30. Angle(A, K, F) → ω
  31. Angle(F, K, B) → α_1
  32. Line(D, I) → a_1
  33. Point(a_1) → J
  34. Rotate(I, ϕ, J) → I'
  35. Angle(I, J, I') → β_1
  36. Rotate(I', χ, J) → I''
  37. Angle(I', J, I'') → γ_1
  38. Circle(J, 2) → c_1
  39. Intersect(c_1, a_1, 1) → M
  40. Intersect(c_1, a_1, 2) → N
  41. Vector(J, N) → u
  42. Vector(J, M) → v
  43. Line(O, P) → b_1
  44. Point(b_1) → Q
  45. Rotate(P, ϕ, Q) → P'
  46. Angle(P, Q, P') → δ_1
  47. Rotate(P', χ, Q) → P''
  48. Angle(P', Q, P'') → ε_1
  49. Circle(Q, 2) → d_1
  50. Intersect(d_1, b_1, 1) → R
  51. Intersect(d_1, b_1, 2) → S
  52. Vector(Q, S) → w
  53. Vector(Q, R) → u_1