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三角形与线段

三角形与线段
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2015-11-24 02:00
测试改名0圆角几何作图
①本范例演示了三角形中线段、角、圆等几何元素的关系与性质；②涉及核心概念包括角、重心、垂心、三角形中线、圆、反射、分段函数等；③作图要点运用了Segment（线段）、Midpoint（中点）、OrthogonalLine（垂线）、AngularBisector（角平分线）、Line（直线）、Angle（角度）、Intersect（交点）、Circle（圆）、Distance（距离）等GeoGebra命令；④适合高中及以上数学学习者用于理解几何构造与证明。

GeoGebra 命令及参数

  1. Segment(B, A) → a
  2. Segment(A, C) → b
  3. Segment(C, B) → c
  4. Midpoint(a) → D
  5. Midpoint(b) → E
  6. Midpoint(c) → F
  7. Segment(A, F) → d
  8. Segment(D, C) → e
  9. Segment(B, E) → f
  10. OrthogonalLine(F, c) → g
  11. OrthogonalLine(E, b) → h
  12. OrthogonalLine(D, a) → i
  13. OrthogonalLine(A, c) → j
  14. OrthogonalLine(C, a) → k
  15. OrthogonalLine(B, b) → l
  16. AngularBisector(A, B, C) → m
  17. AngularBisector(B, C, A) → n
  18. AngularBisector(C, A, B) → p
  19. Line(C, c) → t
  20. Line(A, b) → a_1
  21. Line(B, a) → b_1
  22. Angle(A, C, B) → a1
  23. Angle(C, B, A) → β
  24. Angle(B, A, C) → γ
  25. Line(B, c) → c_1
  26. Line(C, b) → d_1
  27. Line(A, a) → e_1
  28. Intersect(n, a) → G
  29. Intersect(p, c) → H
  30. Intersect(m, b) → I
  31. Intersect(j, t) → J
  32. Intersect(l, d_1) → K
  33. Intersect(k, e_1) → L
  34. Segment(C, F) → f_1
  35. Segment(F, B) → g_1
  36. Segment(B, D) → h_1
  37. Segment(D, A) → i_1
  38. Segment(A, E) → j_1
  39. Segment(E, C) → k_1
  40. Angle(C, L, A) → α
  41. Angle(B, K, C) → δ
  42. Angle(A, J, B) → ε
  43. Circle(A, Distance[A, L] + 1) → p_1
  44. Intersect(p_1, e_1, 2) → M
  45. Angle(C, L, M) → ζ
  46. Circle(B, Distance[B, J] + 1) → q_1
  47. Intersect(q_1, c_1, 2) → N
  48. Angle(A, J, N) → η
  49. Circle(C, Distance[C, K] + 1) → r_1
  50. Intersect(r_1, d_1, 2) → O
  51. Angle(B, K, O) → θ
  52. Intersect(j, k) → P
  53. Intersect(m, n) → Q
  54. Intersect(g, h) → R
  55. Intersect(d, e) → S
  56. Circle(B, A, C) → s_1
  57. Segment(S, I) → l_1
  58. Distance(Q, c) → distanceQc
  59. Midpoint(Q, ClosestPoint[c, Q]) →
  60. Circle(Q, distanceQc) → t_1