积极 AI Logo 积极 AI

变量部件视角下的几何相似性

变量部件视角下的几何相似性
几何画板及绘图内容加载中，请稍等……
2018-12-11 09:32
解析几何变换几何作图
①本范例演示了从变量部件视角理解几何相似性的概念；②涉及的核心数学概念包括相似变换、线性回归、概率统计（正态分布）；③作图要点——使用了Point, Polygon, Ray, Circle, Intersect, Line, Segment等GeoGebra命令和对象；④适合高中及以上数学学习者，用于理解几何变换与数据分析的结合。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Point(xAxis) → D
  3. Polygon(A, B, C, D) → q1, a, b, c, d
  4. Polygon(B, E, C) → t1, c_1, b_1, e
  5. Point(yAxis) → F
  6. Point(xAxis) → G
  7. Ray(F, G) → g
  8. Point(yAxis) → H
  9. Ray(F, H) → h
  10. Circle(F, f) → k
  11. Intersect(g, xAxis) → I
  12. Intersect(g, xAxis) → J
  13. Intersect(g, xAxis) → K
  14. Intersect(k, g) → L,
  15. Intersect(k, h, 1) → M
  16. Circle(L, f) → p
  17. Circle(M, f) → q
  18. Intersect(q, h, 2) → N
  19. Intersect(p, g, 2) → O
  20. Circle(N, f) → r
  21. Circle(O, f) → s
  22. Intersect(r, h, 2) → P
  23. Intersect(s, g, 2) → Q
  24. Circle(P, f) → t
  25. Circle(Q, f) → d_1
  26. Intersect(t, h, 2) → R
  27. Intersect(d_1, g, 2) → S
  28. Line(R, g) → i
  29. Line(P, i) → j
  30. Line(N, j) → l
  31. Line(M, l) → m
  32. Line(S, h) → n
  33. Line(Q, h) → f_1
  34. Line(O, h) → g_1
  35. Line(L, h) → h_1
  36. Intersect(i, h_1) → T
  37. Intersect(i, g_1) → U
  38. Intersect(i, f_1) → V
  39. Intersect(i, n) → W
  40. Intersect(j, n) → Z
  41. Intersect(l, n) → A_1
  42. Intersect(m, n) → B_1
  43. Segment(F, S) → i_1
  44. Segment(M, B_1) → j_1
  45. Segment(N, A_1) → k_1
  46. Segment(P, Z) → l_1
  47. Segment(R, W) → m_1
  48. Segment(F, R) → n_1
  49. Segment(L, T) → p_1
  50. Segment(O, U) → q_1
  51. Segment(Q, V) → r_1
  52. Segment(S, W) → s_1
  53. Intersect(k_1, r_1) → C_1
  54. Polygon(F, N, C_1, Q) → q2, f_2, n_2, c_2, q_2
  55. Intersect(l_1, p_1) → D_1
  56. Polygon(N, D_1, C_1) → t2, c_3, n_3, d_2