七巧板拼接矩形

七巧板拼接矩形
几何画板及绘图内容加载中,请稍等……
2016-09-22 16:37
通过拖动彩色三角形覆盖灰色形状来拼接矩形。本例涉及三角形和矩形的几何作图。使用GeoGebra命令包括Point, Distance, Circle, Segment, OrthogonalLine, Intersect, Polygon, LineBisector, Line等。适合小学高年级或初中学生学习几何拼图和三角形性质。

GeoGebra 命令及参数

  1. Point(Circle[L, 3.54]) → O
  2. Distance(L, O) → o
  3. Point(Circle[C_2, o]) → D_2
  4. Point(Circle[D_2, o]) → G_2
  5. Point(Circle[G_2, o]) → K_2
  6. Circle(K_2, o) → p_3
  7. Segment(G_2, K_2) → m_3
  8. OrthogonalLine(K_2, m_3) → n_3
  9. Intersect(p_3, n_3, 1) → L_2
  10. Point(Circle[S, 5]) → T
  11. Polygon(C_2, D_2, 4) → poly12, g_3, h_3, i_3, j_3, E_2, F_2
  12. Point(Circle[F_2, o]) → H_2
  13. Point(Circle[H, 5]) → L_1
  14. Polygon(H, L_1, 4) → poly8, k_2, l_2, m_2, n_2, M_1, N_1
  15. Point(Circle[D, 10]) → B
  16. Segment(D, B) → j
  17. LineBisector(j) → j_2
  18. Intersect(j_2, j) → R
  19. Point(Circle[K, 5]) → G_1
  20. Segment(K, G_1) → g_2
  21. LineBisector(g_2) → k
  22. Intersect(j, k) → C
  23. Circle(R, 5) → e_2
  24. Intersect(e_2, j_2) → J, A_1
  25. Point(Circle[A, 10]) → H_1
  26. Segment(A, H_1) → h_2
  27. LineBisector(h_2) → i_2
  28. Intersect(i_2, h_2) → I_1
  29. Circle(I_1, 5) → d_2
  30. Intersect(d_2, i_2) → J_1, K_1
  31. Polygon(A, H_1, K_1) → poly1, a, b, c
  32. Polygon(B, D, J) → poly2, f, d, e
  33. Polygon(H, L_1, M_1) → poly3, g, h, i
  34. Line(D, E) → m
  35. Circle(K, 3.54) → q
  36. Intersect(q, k, 2) → N
  37. Polygon(N, K, G_1) → poly4, j_1, k_1, n_1
  38. Segment(L, O) → l
  39. Polygon(L, O, 4) → poly5, p, r, s, t, P, Q
  40. Segment(S, T) → g_1
  41. LineBisector(g_1) → h_1
  42. Circle(S, 3.54) → c_1
  43. Intersect(c_1, h_1) → U, V
  44. Polygon(S, T, V) → poly6, v, s_1, t_1
  45. Point(Circle[W, 5]) → Z
  46. Segment(W, Z) → i_1
  47. Line(F, H) → p_1
  48. OrthogonalLine(Z, i_1) → r_1
  49. Circle(Z, 2.5) → d_1
  50. Intersect(d_1, r_1) → D_1, E_1
  51. Line(E_1, i_1) → a_1
  52. Circle(Z, 3.54) → e_1
  53. Intersect(e_1, a_1, 2) → C_1
  54. Line(Z, C_1) → b_1
  55. Line(W, b_1) → f_2
  56. Intersect(f_2, a_1) → F_1
  57. Polygon(W, Z, C_1, F_1) → poly7, w_1, z_1, c_2, f_3
  58. Polygon(B_2, Z_1, B_1, A_2) → poly9, m_1, s_2, t_2, a_2
  59. Segment(H, L_1) → q_1
  60. Polygon(M, O_1, W_1) → poly10, n, f_1, l_1
  61. Polygon(O_1, M, P_1) → poly11, p_2, q_2, r_2
  62. Segment(C_2, D_2) → b_2
  63. Segment(D_2, G_2) → k_3
  64. Polygon(K_2, G_2, L_2) → poly13, q_3, r_3, s_3
  65. Segment(F_2, H_2) → l_3
  66. Polygon(H_2, C_2, F_2) → poly14, f_4, h_4, c_3