三角形、矩形和菱形的几何作图

三角形、矩形和菱形的几何作图
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2016-12-06 02:54
这个范例演示了如何使用GeoGebra绘制三角形、矩形和菱形。它涉及三角形、矩形和菱形的基本性质,以及如何使用GeoGebra命令如Segment、OrthogonalLine、Point等进行几何作图。适合初中和高中学生学习几何作图和基本图形性质。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → C
  5. Line(C, f) → i
  6. Intersect(i, h) → D
  7. Segment(C, A) → j
  8. Segment(C, D) → k
  9. Segment(D, B) → l
  10. Angle(D, B, A) → α
  11. Angle(A, C, D) → γ
  12. Segment(C, B) → m
  13. Segment(D, A) → n
  14. Intersect(m, n) → E
  15. Angle(C, E, A) → β
  16. Angle(D, E, C) → δ
  17. Angle(B, A, E) → ε
  18. Angle(E, A, C) → ζ
  19. Distance(C, E) → distanceCE
  20. Distance(D, E) → distanceDE
  21. Distance(B, E) → distanceBE
  22. Distance(E, A) → distanceEA
  23. Segment(F, G) → p
  24. OrthogonalLine(F, p) → q
  25. OrthogonalLine(G, p) → r
  26. Circle(F, G) → c
  27. Intersect(c, q) → H, I
  28. Line(I, p) → s
  29. Intersect(s, r) → J
  30. Segment(I, F) → t
  31. Segment(I, J) → a
  32. Segment(J, G) → b
  33. Angle(G, F, I) → η
  34. Angle(I, J, G) → θ
  35. Segment(I, G) → d
  36. Segment(J, F) → e
  37. Intersect(d, e) → K
  38. Angle(K, I, J) → ι
  39. Angle(F, I, K) → κ
  40. Distance(I, K) → distanceIK
  41. Distance(K, J) → distanceKJ
  42. Distance(F, K) → distanceFK
  43. Distance(K, G) → distanceKG
  44. Angle(F, K, G) → λ
  45. Segment(L, M) → f_1
  46. Circle(L, M) → c_1
  47. Point(c_1) → N
  48. Segment(N, L) → g_1
  49. Circle(N, Radius[c_1]) → d_1
  50. Circle(M, Radius[c_1]) → e_1
  51. Intersect(d_1, e_1) → O, P, ,
  52. Segment(N, O) → h_1
  53. Segment(M, O) → i_1
  54. Angle(M, L, N) → μ
  55. Angle(L, N, O) → ν
  56. Angle(O, M, L) → ξ
  57. Angle(N, O, M) → ο
  58. Segment(N, M) → j_1
  59. Segment(L, O) → k_1
  60. Intersect(j_1, k_1) → Q
  61. Distance(N, Q) → distanceNQ
  62. Midpoint(N, Q) →
  63. Distance(M, Q) → distanceMQ
  64. Midpoint(M, Q) →
  65. Distance(Q, L) → distanceQL
  66. Midpoint(Q, L) →
  67. Distance(Q, O) → distanceQO
  68. Midpoint(Q, O) →
  69. Angle(O, Q, N) → ρ
  70. Angle(M, L, Q) → σ
  71. Angle(Q, L, N) → τ
  72. Angle(L, N, Q) → υ
  73. Angle(Q, N, O) → ϕ