GeoGebra中的Geostix演示

GeoGebra中的Geostix演示
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2019-12-23 09:26
①本范例演示了在GeoGebra中如何通过几何作图构建复杂的几何图形与现象;②涉及的核心数学概念包括角度、面积、三角形、对数函数、最值优化、组合数学、圆和置信区间;③作图要点——从下方『构造摘要』提炼用到了Circle(圆)、Point(点)、Intersect(交点)、Segment(线段)等GeoGebra命令/对象;④适合高中及以上数学学习者,用于理解几何作图与相关数学概念的应用。

GeoGebra 命令及参数

  1. Circle(A, gr) → c
  2. Point(c) → B
  3. Circle(A, re) → d
  4. Circle(B, re) → e
  5. Intersect(d, e, 1) → C
  6. Segment(A, B) → a
  7. Segment(C, A) → b
  8. Segment(C, B) → f
  9. Circle(D, re) → g
  10. Point(g) → E
  11. Circle(D, gr) → h
  12. Circle(E, gr) → k
  13. Segment(D, E) → l
  14. Circle(G, gr) → p
  15. Point(p) → H
  16. Circle(G, or) → q
  17. Circle(H, or) → r
  18. Intersect(q, r, 1) → I
  19. Segment(G, I) → m
  20. Segment(I, H) → n
  21. Segment(G, H) → s
  22. Circle(J, bl) → t
  23. Point(t) → K
  24. Circle(J, pu) → c_1
  25. Circle(K, pu) → d_1
  26. Intersect(c_1, d_1, 1) → L
  27. Segment(J, L) → a_1
  28. Segment(L, K) → b_1
  29. Segment(K, J) → e_1
  30. Circle(P, or) → p_1
  31. Point(p_1) → Q
  32. Circle(P, gr) → q_1
  33. Circle(Q, gr) → r_1
  34. Intersect(q_1, r_1, 1) → R
  35. Segment(P, R) → l_1
  36. Segment(R, Q) → m_1
  37. Segment(Q, P) → n_1
  38. Circle(S, pu) → s_1
  39. Point(s_1) → T
  40. Circle(S, bl) → t_1
  41. Circle(T, bl) → c_2
  42. Intersect(t_1, c_2, 1) → U
  43. Segment(S, U) → a_2
  44. Segment(T, U) → b_2
  45. Segment(S, T) → d_2
  46. Intersect(h, k, 1) → F
  47. Segment(D, F) → i
  48. Segment(F, E) → j