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三角形部件：垂线、高线等

三角形部件：垂线、高线等
几何画板及绘图内容加载中，请稍等……
2019-01-02 10:46
测试改名0圆几何作图
所属专题 Parts of a Triangle
①本范例演示三角形的垂线、高线、角平分线等部件的几何性质与关系；②涉及核心数学概念包括垂线、高线、角平分线、中点、距离、圆等；③作图要点提炼自GeoGebra命令：Polygon（多边形）、OrthogonalLine（垂线）、Intersect（交点）、Segment（线段）、Angle（角度）、Midpoint（中点）、Distance（距离）、LineBisector（角平分线）、Circle（圆）、Line（直线）；④适合高中及以上数学学习者，用于理解三角形几何构造与性质。

GeoGebra 命令及参数

  1. Polygon(R, M, T) → t4, t_1, r_1, s_1
  2. OrthogonalLine(M, s_1) → d
  3. Intersect(d, s_1) → U
  4. Segment(M, U) → e
  5. Angle(T, U, M) → α
  6. Segment(V, W) → f_1
  7. Midpoint(V, W) → Z
  8. OrthogonalLine(Z, f_1) → i_1
  9. Distance(Z, V) → distanceZV
  10. Distance(W, Z) → distanceWZ
  11. Segment(V, S) → m_1
  12. Segment(S, W) → q_1
  13. OrthogonalLine(Z, f_1) → j_1
  14. Intersect(j_1, q_1) → H_1
  15. Segment(Z, H_1) → k_1
  16. Angle(W, Z, H_1) → β
  17. LineBisector(f_1) → f
  18. Intersect(f, m_1) → A
  19. Segment(Z, A) → g
  20. Angle(A, Z, V) → γ
  21. Segment(Z, V) → h
  22. Segment(Z, W) → i
  23. Polygon(B, C, D) → t1, d_1, b, c
  24. LineBisector(c) → j
  25. LineBisector(d_1) → k
  26. LineBisector(b) → l
  27. Intersect(j, d_1) → E
  28. Intersect(j, c) → F
  29. Intersect(k, d_1) → G
  30. Intersect(k, c) → H
  31. Intersect(l, b) → I
  32. Intersect(l, c) → J
  33. Intersect(j, b) → K
  34. Intersect(k, b) → L
  35. Intersect(l, d_1) → M_1
  36. Intersect(j, k) → Circumcenter
  37. Angle(C, I, J) → δ
  38. Angle(D, F, K) → ε
  39. Angle(L, G, C) → ζ
  40. Angle(H, G, C) → η
  41. Angle(D, F, E) → θ
  42. Angle(M_1, I, D) → ι
  43. Circle(Circumcenter, C) → p
  44. Polygon(S_1, O, P) → t2, p_1, n, o
  45. OrthogonalLine(P, p_1) → m
  46. Intersect(m, p_1) → Q
  47. OrthogonalLine(O, o) → q
  48. Intersect(q, o) → A_1
  49. OrthogonalLine(S_1, n) → r
  50. Intersect(r, n) → B_1
  51. Intersect(m, q) → Orthocenter
  52. Angle(P, Q, O) → κ
  53. Angle(S_1, B_1, P) → λ
  54. Angle(P, A_1, O) → μ
  55. Segment(Q, Orthocenter) → s
  56. Segment(B_1, Orthocenter) → t
  57. Segment(A_1, Orthocenter) → a
  58. Line(R, T) → g_1
  59. OrthogonalLine(M, g_1) → h_1
  60. Intersect(g_1, h_1) → N
  61. Angle(M, N, R) → ν
  62. Segment(M, N) → l_1