等腰三角形演示

等腰三角形演示
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2017-11-27 21:09
①本范例演示等腰三角形的性质与构造;②涉及核心概念包括等腰三角形的定义、底角相等、顶角平分线垂直底边;③作图要点:使用Polygon、Point、Segment、Line、Angle、Midpoint、Ray、OrthogonalLine、Mirror、Circle等GeoGebra命令和对象进行绘制与变换;④适合初中及以上学生学习几何作图与性质探究。

GeoGebra 命令及参数

  1. Polygon(C, A, B) → poly1, b, c, a_1
  2. Point(Circle[D, 8]) → E
  3. Segment(D, E) → f
  4. Point(Circle[D, 8]) → F
  5. Segment(D, F) → g
  6. Point(Circle[F, 8]) → G
  7. Segment(F, G) → h
  8. Line(D, E) → i
  9. Polygon(D, F, G) → poly2, g_1, d, f_1
  10. Polygon(D, F, E) → poly3, e, d_1, f_2
  11. Segment(D, E) → j
  12. Angle(D, E, F) → α
  13. Angle(E, F, D) → β
  14. Angle(E, G, F) → γ
  15. Angle(F, D, E) → δ
  16. Midpoint(H, I) → J
  17. Ray(H, J) → k
  18. OrthogonalLine(J, k) → l
  19. Point(l) → K
  20. Segment(K, H) → m
  21. Segment(K, I) → n
  22. Point(k) → L
  23. Angle(L, I, K) → ε
  24. Mirror(M, N) → M'
  25. Segment(M, M') → p
  26. OrthogonalLine(N, p) → q
  27. Point(q) → O
  28. Segment(M, O) → r
  29. Segment(M', O) → s
  30. Segment(M', M) → t
  31. Ray(M, O) → h_1
  32. Point(h_1) → P
  33. Angle(P, O, M') → ζ
  34. Circle(Q, R) → c_1
  35. Point(c_1) → S
  36. Point(c_1) → T
  37. Segment(S, Q) → i_1
  38. Segment(T, Q) → k_1
  39. Segment(T, S) → j_1
  40. Angle(T, Q, S) → η
  41. Angle(S, T, Q) → θ
  42. Angle(Q, S, T) → ι
  43. Point(c) → U
  44. Segment(U, C) → l_1
  45. Polygon(V, W, Z) → t1, z_1, v, w
  46. Angle(V, W, Z) → κ
  47. Angle(Z, V, W) → λ
  48. Angle(W, Z, V) → μ
  49. Angle(D, F, E) → ν
  50. Angle(E, D, F) → ξ
  51. Angle(F, E, D) → ο
  52. Angle(E, F, G) → ρ
  53. Angle(G, E, F) → σ
  54. Angle(F, G, E) → τ