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线段垂直平分线定义演示

线段垂直平分线定义演示
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2016-05-19 19:21
圆几何作图
所属专题 Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 Geometry: Introductory Definitions, Postulates, Theorems Congruence: Volume 1 - Chapter 1 Congruence: Volume 1 - Chapter 1
①本范例演示线段垂直平分线的定义及其与线段中点、垂线的关系；②涉及核心概念：线段、中点、垂直线、垂直平分线、圆、交点；③作图要点：使用Segment、Midpoint、Circle、Intersect、Line、OrthogonalLine、LineBisector等命令构建图形；④适合初中及以上学生，用于理解和掌握线段垂直平分线的性质与作图方法。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Midpoint(a) → C
  3. Segment(C, B) → b
  4. Circle(C, (0.75 * b)) → c
  5. Intersect(c, a, 2) → D
  6. Intersect(c, a, 1) → E
  7. CircleArc(C, D, E) → d
  8. Point(d) → F
  9. CircleArc(C, D, F) → e
  10. CircleArc(C, F, E) → f
  11. Point(f) → G
  12. CircleArc(C, F, G) → g
  13. CircleArc(C, G, E) → h
  14. Point(h) → H
  15. CircleArc(C, H, E) → k
  16. Point(k) → I
  17. CircleArc(C, I, E) → p
  18. Point(p) → J
  19. Line(F, C) → i
  20. Line(G, C) → j
  21. Line(H, C) → l
  22. Line(I, C) → m
  23. Line(J, C) → n
  24. Segment(A, C) → q
  25. Segment(C, B) → r
  26. Dilate(A, If[0 < o ≤ 1, 1 - o, 0], C) → A'
  27. Segment(A, A') → s
  28. Dilate(C, If[1 < o ≤ 2, 2 - o, 0], B) → C'
  29. Segment(C, C') → t
  30. Rotate(C, If[2 < o ≤ 3, ((o - 2) * π), 3.141592653589793], C) → C'_1
  31. Rotate(C', If[2 < o ≤ 3, ((o - 2) * π), 3.141592653589793], C) → C''
  32. Segment(C'_1, C'') → t'
  33. Point(a) → K
  34. Point(a) → L
  35. Point(a) → M
  36. Point(a) → N
  37. Point(a) → O
  38. OrthogonalLine(K, a) → a_1
  39. OrthogonalLine(L, a) → b_1
  40. OrthogonalLine(M, a) → c_1
  41. OrthogonalLine(N, a) → d_1
  42. OrthogonalLine(O, a) → e_1
  43. Point(a_1) → P
  44. Point(b_1) → Q
  45. Point(c_1) → R
  46. Point(d_1) → S
  47. Point(e_1) → T
  48. Angle(P, K, A) → α
  49. Angle(Q, L, A) → β
  50. Angle(R, M, A) → γ
  51. Angle(S, N, A) → δ
  52. Angle(T, O, A) → ε
  53. LineBisector(A, B) → f_1
  54. Point(f_1) → U
  55. Angle(U, C, A) → ζ