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七巧板：构建平行四边形

七巧板：构建平行四边形
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2017-01-22 22:23
多边形向量几何作图
本范例通过拖动彩色小块到灰色形状上，演示如何构建平行四边形。核心数学概念包括几何变换和多边形。使用了点、距离、多边形、线段、线、垂直线等 GeoGebra 命令。适合初中生和高中生学习几何作图。

GeoGebra 命令及参数

  1. Point(Circle[S, 5]) → T
  2. Point(Circle[L, 3.54]) → O
  3. Distance(L, O) → o
  4. Point(Circle[C_2, o]) → D_2
  5. Point(Circle[D_2, o]) → G_2
  6. Polygon(C_2, D_2, 4) → poly12, g_3, h_3, i_3, j_3, E_2, F_2
  7. Point(Circle[F_2, o]) → H_2
  8. Point(Circle[H, 5]) → L_1
  9. Polygon(H, L_1, 4) → poly8, k_2, l_2, m_2, n_2, M_1, N_1
  10. Point(Circle[D, 10]) → B
  11. Segment(D, B) → j
  12. LineBisector(j) → j_2
  13. Intersect(j_2, j) → R
  14. Point(Circle[K, 5]) → G_1
  15. Segment(K, G_1) → g_2
  16. LineBisector(g_2) → k
  17. Intersect(j, k) → C
  18. Circle(R, 5) → e_2
  19. Intersect(e_2, j_2) → J, A_1
  20. Point(Circle[A, 10]) → H_1
  21. Segment(A, H_1) → h_2
  22. LineBisector(h_2) → i_2
  23. Intersect(i_2, h_2) → I_1
  24. Circle(I_1, 5) → d_2
  25. Intersect(d_2, i_2) → J_1, K_1
  26. Polygon(A, H_1, K_1) → poly1, a, b, c
  27. Polygon(B, D, J) → poly2, f, d, e
  28. Polygon(H, L_1, M_1) → poly3, g, h, i
  29. Line(D, E) → m
  30. Circle(K, 3.54) → q
  31. Intersect(q, k, 2) → N
  32. Polygon(N, K, G_1) → poly4, j_1, k_1, n_1
  33. Segment(L, O) → l
  34. Polygon(L, O, 4) → poly5, p, r, s, t, P, Q
  35. Segment(S, T) → g_1
  36. LineBisector(g_1) → h_1
  37. Circle(S, 3.54) → c_1
  38. Intersect(c_1, h_1) → U, V
  39. Polygon(S, T, V) → poly6, v, s_1, t_1
  40. Point(Circle[W, 5]) → Z
  41. Segment(W, Z) → i_1
  42. Line(F, H) → p_1
  43. OrthogonalLine(Z, i_1) → r_1
  44. Circle(Z, 2.5) → d_1
  45. Intersect(d_1, r_1) → D_1, E_1
  46. Line(E_1, i_1) → a_1
  47. Circle(Z, 3.54) → e_1
  48. Intersect(e_1, a_1, 2) → C_1
  49. Line(Z, C_1) → b_1
  50. Line(W, b_1) → f_2
  51. Intersect(f_2, a_1) → F_1
  52. Polygon(W, Z, C_1, F_1) → poly7, w_1, z_1, c_2, f_3
  53. Polygon(B_2, Z_1, B_1, A_2) → poly9, m_1, s_2, t_2, a_2
  54. Segment(H, L_1) → q_1
  55. Polygon(M, O_1, W_1) → poly10, n, f_1, l_1
  56. Polygon(O_1, M, P_1) → poly11, p_2, q_2, r_2
  57. Segment(C_2, D_2) → b_2
  58. Segment(D_2, G_2) → k_3
  59. Segment(F_2, H_2) → l_3
  60. Polygon(D_2, G_2, E_2) → poly13, e_3, d_3, g_4
  61. Polygon(H_2, C_2, F_2) → poly14, f_4, h_4, c_3