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平行线被截线所截

平行线被截线所截
几何画板及绘图内容加载中，请稍等……
2016-09-29 03:02
角变换几何作图
所属专题 Congruence (CO) Cluster Congruence (Vol 2) CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Parallel Lines and Planes Parallel Lines & Related Angles Parallel Lines & Related Angles Logic and Parallel Lines Geometry: Parallel Lines & Related Angles Year 9 Mathematics Year 7 (Angles)
此GeoGebra范例展示了当截线与两平行线相交时，特殊角对之间的关系。核心数学概念包括角的性质和角度关系。通过使用点、圆、交点、旋转、角度、线、射线、线段等GeoGebra命令，学生可以探索和理解这些几何概念。适合初中及以上学生学习几何和角度关系。

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

AI 绘图提示语参考

画两条平行线，一条横线穿过它们，形成八个角。以穿过的点为中心画圆，交点与圆心连线，旋转这些线段，形成新的交点和角。用线段和射线连接这些点，展示角度关系。再画圆和扇形，强调特殊角的位置和大小，最终图形包含平行线、横线、多个角、圆、射线和扇形，清晰展示角度关系和几何变换。
以上提示语为根据原始绘图命令整理而来，仅供参考。