五块拼图

五块拼图
几何画板及绘图内容加载中,请稍等……
2012-07-07 02:28
通过移动五块拼图,可以拼出展示的各种图形。本例涉及几何作图,使用了圆、点、线、向量、平移、多边形、旋转等 GeoGebra 命令。适合初中及以上学生进行几何图形拼接与变换练习。

GeoGebra 命令及参数

  1. Circle(M, m) → p
  2. Circle(M, n) → q
  3. Point(q) → N
  4. Line(M, N) → r
  5. OrthogonalLine(M, r) → s
  6. Intersect(p, s, 1) → O
  7. Intersect(p, r, 1) → P
  8. Line(O, r) → t
  9. Line(P, s) → f_1
  10. Intersect(t, f_1) → Q
  11. Vector(P, M) → u
  12. Translate(Q, Vector[8 * u]) → Q'_1
  13. Vector(Q, P) → v
  14. Translate(Q, Vector[4 * v]) → Q'_2
  15. Polygon(Q'_2, Q, Q'_1) → poly7, q'_1, q', q_1
  16. Circle(R, m) → h_1
  17. Circle(R, o) → p_1
  18. Point(p_1) → S
  19. Line(S, R) → m_1
  20. OrthogonalLine(R, m_1) → n_1
  21. Intersect(h_1, n_1, 1) → T
  22. Intersect(h_1, m_1, 2) → U
  23. Line(U, n_1) → r_1
  24. Line(T, m_1) → s_1
  25. Intersect(r_1, s_1) → V
  26. Vector(T, R) → w
  27. Translate(V, Vector[3.576 * w]) → V'_1
  28. Vector(U, R) → z
  29. Translate(V, Vector[3.576 * z]) → V'_2
  30. Translate(V'_2, Vector[1.7888 * w]) → V''_1
  31. Polygon(V''_1, V'_2, V, V'_1) → poly8, v'', v', v_1, v'_1
  32. Circle(W, m) → t_1
  33. Circle(W, n) → f_2
  34. Point(f_2) → Z
  35. Line(Z, W) → a_2
  36. OrthogonalLine(W, a_2) → b_2
  37. Intersect(t_1, b_2, 1) → A_1
  38. Intersect(t_1, a_2, 2) → B_1
  39. Line(A_1, a_2) → h_2
  40. Line(B_1, b_2) → i_2
  41. Intersect(i_2, h_2) → C_1
  42. Vector(A_1, W) → u_1
  43. Translate(C_1, Vector[3.576 * u_1]) → D_1
  44. Vector(B_1, W) → w_1
  45. Translate(C_1, Vector[3.576 * w_1]) → E_1
  46. Translate(D_1, Vector[3.576 * w_1]) → F_1
  47. Polygon(E_1, C_1, D_1, F_1) → poly9, e_3, c_3, d_3, f_3
  48. Circle(G_1, a_4) → k_2
  49. Circle(G_1, b_4) → p_2
  50. Point(p_2) → H_1
  51. Line(H_1, G_1) → j_2
  52. OrthogonalLine(G_1, j_2) → m_2
  53. Intersect(k_2, j_2, 2) → I_1
  54. Intersect(k_2, m_2, 1) → J_1
  55. Line(I_1, m_2) → n_2
  56. Line(J_1, j_2) → q_2
  57. Intersect(n_2, q_2) → K_1
  58. Point(n_2) → L_1
  59. Rotate(L_1, 63.43*°, I_1) → M_1
  60. Angle(L_1, I_1, M_1) → γ
  61. Segment(I_1, L_1) → r_2
  62. Vector(I_1, M_1) → z_1
  63. Rotate(I_1, 270*°, M_1) → N_1
  64. Angle(N_1, M_1, I_1) → δ
  65. Vector(M_1, N_1) → u_2
  66. Vector(J_1, G_1) → v_2
  67. Vector(I_1, G_1) → w_2
  68. Translate(K_1, Vector[2.5 * v_2]) → O_1
  69. Translate(K_1, Vector[5 * w_2]) → P_1
  70. Translate(O_1, Vector[1.118 * z_1]) → Q_1
  71. Translate(Q_1, Vector[2.235 * u_2]) → R_1
  72. Translate(R_1, Vector[2.235 * z_1]) → S_1
  73. Polygon(P_1, K_1, O_1, Q_1, R_1, S_1) → poly10, p_3, k_3, o_1, q_3, r_3, s_2
  74. Circle(T_1, a) → t_2
  75. Circle(T_1, b) → g_3
  76. Point(g_3) → U_1
  77. Line(U_1, T_1) → h_3
  78. OrthogonalLine(T_1, h_3) → i_3
  79. Intersect(t_2, i_3, 1) → V_1
  80. Intersect(t_2, h_3, 2) → W_1
  81. Line(V_1, h_3) → j_3
  82. Line(W_1, i_3) → m_3
  83. Intersect(j_3, m_3) → Z_1
  84. Vector(V_1, T_1) → z_2
  85. Vector(W_1, T_1) → u_3
  86. Translate(Z_1, Vector[2.9813 * z_2]) → A_2
  87. Translate(Z_1, Vector[5.96 * u_3]) → B_2
  88. Polygon(B_2, Z_1, A_2) → poly11, a_5, b_5, z_3
  89. Mirror(V''_1, m_1) → V'''
  90. Mirror(V'_2, m_1) → V''
  91. Mirror(V, m_1) → V'
  92. Mirror(V'_1, m_1) → D
  93. Polygon(V''', V'', V', D) → poly8', v''', v''_1, v'_2, d
  94. Intersect(h_1, n_1) → A, B
  95. CircleSector(U, B, A) → c
  96. Point(c) → C
  97. Angle(C, U, B) → α
  98. Intersect(t_2, i_3, 2) → E
  99. CircleSector(W_1, E, V_1) → e
  100. Point(e) → F
  101. Angle(E, W_1, F) → β
  102. Mirror(B_2, h_3) → G
  103. Mirror(Z_1, h_3) → H
  104. Mirror(A_2, h_3) → I
  105. Polygon(G, H, I) → poly11', i, g, h
  106. Intersect(k_2, m_2, 2) → J
  107. CircleSector(I_1, J, J_1) → f
  108. Point(f) → K
  109. Angle(J, I_1, K) → ε
  110. Mirror(P_1, j_2) → L
  111. Mirror(K_1, j_2) → C_2
  112. Mirror(O_1, j_2) → D_2
  113. Mirror(Q_1, j_2) → E_2
  114. Mirror(R_1, j_2) → F_2
  115. Mirror(S_1, j_2) → G_2
  116. Polygon(L, C_2, D_2, E_2, F_2, G_2) → poly10', l, c_2, d_2, e_2, f_4, g_2
  117. Intersect(p, s, 2) → H_2
  118. CircleSector(P, O, H_2) → k
  119. Point(k) → I_2
  120. Angle(O, P, I_2) → ζ
  121. Mirror(Q'_2, r) → Q''
  122. Mirror(Q, r) → Q'
  123. Mirror(Q'_1, r) → J_2
  124. Polygon(Q'', Q', J_2) → poly7', j_1, q'', q'_2

AI 绘图提示语参考

请绘制一个由五个几何图形组成的拼图。图形包括一个圆形、一个三角形、一个正方形和一个菱形。这些图形通过旋转和平移相互连接,形成一个完整的拼图。拼图需要展示这些图形之间的相对位置和变换关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。