积极 AI Logo 积极 AI

图形乘法表 by Bill Lombard

图形乘法表 by Bill Lombard
几何画板及绘图内容加载中，请稍等……
2014-12-17 05:51
多边形向量解析几何
通过图形方法展示乘法表，帮助学生直观理解不同乘积的大小关系。本例涉及点、交点、多边形等对象，使用了Point、Intersect、Polygon等GeoGebra命令。适合小学高年级至初中学生学习乘法概念。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  4. Point(xAxis) → F
  5. Polygon(A, D, E, F) → poly2, a_1, d_1, e, f
  6. Point(xAxis) → G
  7. Polygon(F, G, H, E) → poly3, f_1, g, h, e_1
  8. Point(xAxis) → I
  9. Polygon(G, I, J, H) → poly4, g_1, i, j, h_1
  10. Point(xAxis) → K
  11. Polygon(I, K, L, J) → poly5, i_1, k, l, j_1
  12. Point(xAxis) → M
  13. Polygon(K, M, N, L) → poly6, k_1, m, n, l_1
  14. Point(xAxis) → O
  15. Polygon(M, O, P, N) → poly7, m_1, o, p, n_1
  16. Point(xAxis) → Q
  17. Polygon(O, Q, R, P) → poly8, o_1, q, r, p_1
  18. Point(xAxis) → S
  19. Polygon(Q, S, T, R) → poly9, q_1, s, t, r_1
  20. Point(xAxis) → U
  21. Polygon(S, U, V, T) → poly10, s_1, u, v, t_1
  22. Point(yAxis) → W
  23. Polygon(C, W, Z, D) → poly11, c_1, w, z, d_2
  24. Point(yAxis) → A_1
  25. Polygon(W, A_1, B_1, Z) → poly12, w_1, a_2, b_1, z_1
  26. Point(yAxis) → C_1
  27. Polygon(A_1, C_1, D_1, B_1) → poly13, a_3, c_2, d_3, b_2
  28. Point(yAxis) → E_1
  29. Polygon(C_1, E_1, F_1, D_1) → poly14, c_3, e_2, f_2, d_4
  30. Point(yAxis) → G_1
  31. Polygon(E_1, G_1, H_1, F_1) → poly15, e_3, g_2, h_2, f_3
  32. Point(yAxis) → I_1
  33. Polygon(G_1, I_1, J_1, H_1) → poly16, g_3, i_2, j_2, h_3
  34. Point(yAxis) → K_1
  35. Polygon(I_1, K_1, L_1, J_1) → poly17, i_3, k_2, l_2, j_3
  36. Point(yAxis) → M_1
  37. Polygon(K_1, M_1, N_1, L_1) → poly18, k_3, m_2, n_2, l_3
  38. Point(yAxis) → O_1
  39. Polygon(M_1, O_1, P_1, N_1) → poly19, m_3, o_2, p_2, n_3
  40. Polygon(D, Z, 4) → poly20, q_2, r_2, s_2, t_2, Q_1, R_1
  41. Polygon(Q_1, S_1, 4) → poly21, b_3, p_3, q_3, r_3, T_1, U_1
  42. Polygon(T_1, V_1, 4) → poly22, s_3, t_3, a_4, b_4, W_1, Z_1
  43. Polygon(W_1, A_2, 4) → poly23, c_4, e_4, f_4, g_4, B_2, C_2
  44. Polygon(B_2, D_2, 4) → poly24, h_4, i_4, j_4, k_4, E_2, F_2
  45. Polygon(E_2, G_2, 4) → poly25, l_4, m_4, n_4, p_4, H_2, I_2
  46. Polygon(H_2, J_2, 4) → poly26, q_4, r_4, s_4, t_4, K_2, L_2
  47. Polygon(K_2, M_2, 4) → poly27, a_5, b_5, c_5, d_5, N_2, O_2
  48. Polygon(N_2, P_2, 4) → poly28, e_5, f_5, g_5, h_5, Q_2, R_2
  49. Polygon(E, Q_1, U_1, H) → poly29, e_6, q_5, u_1, h_6
  50. Polygon(U_1, S_2, J, H) → poly30, u_2, s_5, j_5, h_7
  51. Polygon(S_2, U_1, T_1, Z_1) → poly31, s_6, u_3, t_5, z_2
  52. Polygon(B_1, S_1, Q_1, Z) → poly32, b_6, s_7, q_6, z_3
  53. Polygon(D_1, T_2, S_1, B_1) → poly33, d_6, t_6, s_8, b_7
  54. Polygon(S_1, T_1, V_1, T_2) → poly34, s_9, t_7, v_1, t_8
  55. Polygon(D_1, F_1, U_2, T_2) → poly35, d_7, f_6, u_4, t_9
  56. Polygon(T_2, U_2, V_2, V_1) → poly36, t_{10}, u_5, v_2, v_3
  57. Polygon(V_1, V_2, A_2, W_1) → poly37, v_4, v_5, a_6, w_2
  58. Polygon(F_1, H_1, W_2, U_2) → poly38, f_7, h_8, w_3, u_6
  59. Polygon(U_2, W_2, Z_2, V_2) → poly39, u_7, w_4, z_4, v_6
  60. Polygon(H_1, J_1, A_3, W_2) → poly40, h_9, j_6, a_7, w_5
  61. Polygon(W_2, A_3, B_3, Z_2) → poly41, w_6, a_8, b_8, z_5
  62. Polygon(V_2, Z_2, C_3, A_2) → poly42, v_7, z_6, c_6, a_9
  63. Polygon(A_2, C_3, D_2, B_2) → poly43, a_{10}, c_7, d_8, b_9
  64. Polygon(Z_2, B_3, D_3, C_3) → poly44, z_7, b_{10}, d_9, c_8
  65. Polygon(C_3, D_3, E_3, D_2) → poly45, c_9, d_{10}, e_7, d_{11}
  66. Polygon(D_2, E_3, G_2, E_2) → poly46, d_{12}, e_8, g_6, e_9
  67. Polygon(J_1, L_1, F_3, A_3) → poly47, j_7, l_5, f_8, a_{11}
  68. Polygon(A_3, F_3, G_3, B_3) → poly48, a_{12}, f_9, g_7, b_{11}
  69. Polygon(B_3, G_3, H_3, D_3) → poly49, b_{12}, g_8, h_{10}, d_{13}
  70. Polygon(D_3, H_3, I_3, E_3) → poly50, d_{14}, h_{11}, i_5, e_{10}
  71. Polygon(E_3, I_3, J_3, G_2) → poly51, e_{11}, i_6, j_8, g_9
  72. Polygon(G_2, J_3, J_2, H_2) → poly52, g_{10}, j_9, j_{10}, h_{12}
  73. Polygon(L_1, N_1, K_3, F_3) → poly53, l_6, n_5, k_5, f_{10}
  74. Polygon(F_3, K_3, L_3, G_3) → poly54, f_{11}, k_6, l_7, g_{11}
  75. Polygon(G_3, L_3, M_3, H_3) → poly55, g_{12}, l_8, m_5, h_{13}
  76. Polygon(H_3, M_3, N_3, I_3) → poly56, h_{14}, m_6, n_6, i_7
  77. Polygon(I_3, N_3, O_3, J_3) → poly57, i_8, n_7, o_3, j_{11}
  78. Polygon(J_3, O_3, P_3, J_2) → poly58, j_{12}, o_4, p_5, j_{13}
  79. Polygon(J_2, P_3, M_2, K_2) → poly59, j_{14}, p_6, m_7, k_7
  80. Polygon(N_1, P_1, Q_3, K_3) → poly60, n_8, p_7, q_7, k_8
  81. Polygon(K_3, Q_3, R_3, L_3) → poly61, k_9, q_8, r_5, l_9
  82. Polygon(L_3, R_3, S_3, M_3) → poly62, l_{10}, r_6, s_{10}, m_8
  83. Polygon(M_3, S_3, T_3, N_3) → poly63, m_9, s_{11}, t_{11}, n_9
  84. Polygon(N_3, T_3, U_3, O_3) → poly64, n_{10}, t_{12}, u_8, o_5
  85. Polygon(O_3, U_3, V_3, P_3) → poly65, o_6, u_9, v_8, p_8
  86. Polygon(P_3, V_3, W_3, M_2) → poly66, p_9, v_9, w_7, m_{10}
  87. Polygon(M_2, W_3, P_2, N_2) → poly67, m_{11}, w_8, p_{10}, n_{11}
  88. Polygon(J, S_2, Z_3, L) → poly68, j_{15}, s_{12}, z_8, l_{11}
  89. Polygon(S_2, Z_1, A_4, Z_3) → poly69, s_{13}, z_9, a_{13}, z_{10}
  90. Polygon(Z_1, W_1, C_2, A_4) → poly70, z_{11}, w_9, c_{10}, a_{14}
  91. Polygon(L, Z_3, B_4, N) → poly71, l_{12}, z_{12}, b_{13}, n_{12}
  92. Polygon(Z_3, A_4, C_4, B_4) → poly72, z_{13}, a_{15}, c_{11}, b_{14}
  93. Polygon(A_4, C_2, D_4, C_4) → poly73, a_{16}, c_{12}, d_{15}, c_{13}
  94. Polygon(C_2, B_2, F_2, D_4) → poly74, c_{14}, b_{15}, f_{12}, d_{16}
  95. Polygon(N, B_4, E_4, P) → poly75, n_{13}, b_{16}, e_{12}, p_{11}
  96. Polygon(B_4, C_4, F_4, E_4) → poly76, b_{17}, c_{15}, f_{13}, e_{13}
  97. Polygon(C_4, D_4, G_4, F_4) → poly77, c_{16}, d_{17}, g_{13}, f_{14}
  98. Polygon(D_4, F_2, H_4, G_4) → poly78, d_{18}, f_{15}, h_{15}, g_{14}
  99. Polygon(F_2, E_2, I_2, H_4) → poly79, f_{16}, e_{14}, i_9, h_{16}
  100. Polygon(P, E_4, I_4, R) → poly80, p_{12}, e_{15}, i_{10}, r_7
  101. Polygon(E_4, F_4, J_4, I_4) → poly81, e_{16}, f_{17}, j_{16}, i_{11}
  102. Polygon(F_4, G_4, K_4, J_4) → poly82, f_{18}, g_{15}, k_{10}, j_{17}
  103. Polygon(G_4, H_4, L_4, K_4) → poly83, g_{16}, h_{17}, l_{13}, k_{11}
  104. Polygon(H_4, I_2, M_4, L_4) → poly84, h_{18}, i_{12}, m_{12}, l_{14}
  105. Polygon(I_2, H_2, L_2, M_4) → poly85, i_{13}, h_{19}, l_{15}, m_{13}
  106. Polygon(R, I_4, N_4, T) → poly86, r_8, i_{14}, n_{14}, t_{13}
  107. Polygon(I_4, J_4, O_4, N_4) → poly87, i_{15}, j_{18}, o_7, n_{15}
  108. Polygon(J_4, K_4, P_4, O_4) → poly88, j_{19}, k_{12}, p_{13}, o_8
  109. Polygon(K_4, L_4, Q_4, P_4) → poly89, k_{13}, l_{16}, q_9, p_{14}
  110. Polygon(L_4, M_4, R_4, Q_4) → poly90, l_{17}, m_{14}, r_9, q_{10}
  111. Polygon(M_4, L_2, S_4, R_4) → poly91, m_{15}, l_{18}, s_{14}, r_{10}
  112. Polygon(L_2, K_2, O_2, S_4) → poly92, l_{19}, k_{14}, o_9, s_{15}
  113. Polygon(T, N_4, T_4, V) → poly93, t_{14}, n_{16}, t_{15}, v_{10}
  114. Polygon(N_4, O_4, U_4, T_4) → poly94, n_{17}, o_{10}, u_{10}, t_{16}
  115. Polygon(O_4, P_4, V_4, U_4) → poly95, o_{11}, p_{15}, v_{11}, u_{11}
  116. Polygon(P_4, Q_4, W_4, V_4) → poly96, p_{16}, q_{11}, w_{10}, v_{12}
  117. Polygon(Q_4, R_4, Z_4, W_4) → poly97, q_{12}, r_{11}, z_{14}, w_{11}
  118. Polygon(R_4, S_4, A_5, Z_4) → poly98, r_{12}, s_{16}, a_{17}, z_{15}
  119. Polygon(S_4, O_2, B_5, A_5) → poly99, s_{17}, o_{12}, b_{18}, a_{18}
  120. Polygon(O_2, N_2, R_2, B_5) → poly100, o_{13}, n_{18}, r_{13}, b_{19}

AI 绘图提示语参考

绘制一个乘法表的图形，包含10行10列的正方形网格，每个正方形代表一个乘法结果。从左下角开始，依次绘制每个正方形，形成一个由多个小正方形组成的网格。网格由水平和垂直的线段组成，每个正方形的边长为1个单位长度。
以上提示语为根据原始绘图命令整理而来，仅供参考。