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几何作图练习

几何作图练习
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2016-09-09 00:21
角函数几何作图
该范例演示了几何作图的基本技巧，包括角平分线、线段、射线等的绘制。涉及的核心数学概念包括角、线段和射线的构造。使用了Ray、AngularBisector、Segment等GeoGebra命令。适合初中及以上学生进行几何作图练习。

GeoGebra 命令及参数

  1. Ray(A, B) → f
  2. Ray(A, C) → g
  3. AngularBisector(C, A, B) → h
  4. Segment(D, E) → i
  5. LineBisector(E, D) → j
  6. Intersect(j, i) → F
  7. Point(j) → G
  8. Line(G, i) → k
  9. Intersect(j, k) → H
  10. OrthogonalLine(I, k) → l
  11. OrthogonalLine(E, k) → m
  12. Intersect(k, m) → J
  13. Intersect(k, l) → K
  14. Intersect(l, i) → L
  15. Intersect(m, i) → M
  16. Intersect(l, i) → N
  17. Segment(O, P) → n
  18. Line(Q, n) → p
  19. LineBisector(n) → q
  20. Intersect(q, n) → R
  21. OrthogonalLine(O, p) → r
  22. OrthogonalLine(P, p) → s
  23. Intersect(p, r) → S
  24. Intersect(p, s) → T
  25. Angle(P, O, S) → α
  26. Angle(S, T, P) → β
  27. Angle(O, S, T) → γ
  28. Angle(T, P, O) → δ
  29. Segment(U, V) → t
  30. Circle(V, Segment[V, U]) → c
  31. Point(c) → W
  32. Circle(W, t) → d
  33. Intersect(c, d, 2) → Z
  34. Circle(Z, t) → e
  35. Intersect(c, d, 1) → A_1
  36. Circle(A_1, t) → c_1
  37. Intersect(c, c_1, 1) → B_1
  38. Intersect(d, c_1, 2) → C_1
  39. Intersect(d, e, 1) → D_1
  40. Intersect(c, e, 2) → E_1
  41. Segment(E_1, B_1) → a
  42. Segment(B_1, C_1) → b
  43. Segment(C_1, D_1) → f_1
  44. Segment(D_1, E_1) → g_1