百格覆盖

百格覆盖
几何画板及绘图内容加载中,请稍等……
2020-10-29 04:11
这是一个由 Patrick Vennebush 设计的关于正方形的数字谜题。它涉及面积、线性方程、矩阵等核心数学概念。通过使用 GeoGebra 命令如 Polygon、Line、Function 等,用户可以进行几何作图。适合初中及以上学生或教师使用,用于教学或自我学习。

GeoGebra 命令及参数

  1. Polygon((0, 0), (10, 0), 4) → poly1
  2. Polygon(A, A + (9, 0), 4) → poly2, f, g, h, i, B, C
  3. Polygon(D, D + (8, 0), 4) → poly3, j, k, l, m, E, F
  4. Polygon(G, G + (7, 0), 4) → poly4, n, p, q, r, H, I
  5. Polygon(J, J + (6, 0), 4) → poly5, s, t, a, b, K, L
  6. Polygon(M, M + (5, 0), 4) → poly6, c, d, e, f_1, N, O
  7. Polygon(M_1, M_1 + (5, 0), 4) → poly6_1, c_1, d_1, e_1, f_2, N_1, O_1
  8. Polygon(M_2, M_2 + (5, 0), 4) → poly6_2, c_2, d_2, e_2, f_3, N_2, O_2
  9. Polygon(M_3, M_3 + (5, 0), 4) → poly6_3, c_3, d_3, e_3, f_4, N_3, O_3
  10. Polygon(P, P + (4, 0), 4) → poly7, g_1, h_1, i_1, j_1, Q, R
  11. Polygon(P_1, P_1 + (4, 0), 4) → poly7_1, g_2, h_2, i_2, j_2, Q_1, R_1
  12. Polygon(P_2, P_2 + (4, 0), 4) → poly7_2, g_3, h_3, i_3, j_3, Q_2, R_2
  13. Polygon(P_3, P_3 + (4, 0), 4) → poly7_3, g_4, h_4, i_4, j_4, Q_3, R_3
  14. Polygon(S, S + (3, 0), 4) → poly8, k_1, l_1, m_1, n_1, T, U
  15. Polygon(S_1, S_1 + (3, 0), 4) → poly8_1, k_2, l_2, m_2, n_2, T_1, U_1
  16. Polygon(S_2, S_2 + (3, 0), 4) → poly8_2, k_3, l_3, m_3, n_3, T_2, U_2
  17. Polygon(S_3, S_3 + (3, 0), 4) → poly8_3, k_4, l_4, m_4, n_4, T_3, U_3
  18. Polygon(S_4, S_4 + (3, 0), 4) → poly8_4, k_5, l_5, m_5, n_5, T_4, U_4
  19. Polygon(S_5, S_5 + (3, 0), 4) → poly8_5, k_6, l_6, m_6, n_6, T_5, U_5
  20. Polygon(S_6, S_6 + (3, 0), 4) → poly8_6, k_7, l_7, m_7, n_7, T_6, U_6
  21. Polygon(S_7, S_7 + (3, 0), 4) → poly8_7, k_8, l_8, m_8, n_8, T_7, U_7
  22. Polygon(S_8, S_8 + (3, 0), 4) → poly8_8, k_9, l_9, m_9, n_9, T_8, U_8
  23. Polygon(V, V + (2, 0), 4) → poly9, p_1, q_1, r_1, s_1, W, Z
  24. Polygon(V_1, V_1 + (2, 0), 4) → poly9_1, p_2, q_2, r_2, s_2, W_1, Z_1
  25. Polygon(V_2, V_2 + (2, 0), 4) → poly9_2, p_3, q_3, r_3, s_3, W_2, Z_2
  26. Polygon(V_3, V_3 + (2, 0), 4) → poly9_3, p_4, q_4, r_4, s_4, W_3, Z_3
  27. Polygon(V_4, V_4 + (2, 0), 4) → poly9_4, p_5, q_5, r_5, s_5, W_4, Z_4
  28. Polygon(V_5, V_5 + (2, 0), 4) → poly9_5, p_6, q_6, r_6, s_6, W_5, Z_5
  29. Polygon(V_6, V_6 + (2, 0), 4) → poly9_6, p_7, q_7, r_7, s_7, W_6, Z_6
  30. Polygon(V_7, V_7 + (2, 0), 4) → poly9_7, p_8, q_8, r_8, s_8, W_7, Z_7
  31. Polygon(V_8, V_8 + (2, 0), 4) → poly9_8, p_9, q_9, r_9, s_9, W_8, Z_8
  32. Polygon(V_9, V_9 + (2, 0), 4) → poly9_9, p_{10}, q_{10}, r_{10}, s_{10}, W_9, Z_9
  33. Polygon(V_{10}, V_{10} + (2, 0), 4) → poly9_{10}, p_{11}, q_{11}, r_{11}, s_{11}, W_{10}, Z_{10}
  34. Polygon(V_{11}, V_{11} + (2, 0), 4) → poly9_{11}, p_{12}, q_{12}, r_{12}, s_{12}, W_{11}, Z_{11}
  35. Polygon(V_{12}, V_{12} + (2, 0), 4) → poly9_{12}, p_{13}, q_{13}, r_{13}, s_{13}, W_{12}, Z_{12}
  36. Polygon(V_{13}, V_{13} + (2, 0), 4) → poly9_{13}, p_{14}, q_{14}, r_{14}, s_{14}, W_{13}, Z_{13}
  37. Polygon(V_{14}, V_{14} + (2, 0), 4) → poly9_{14}, p_{15}, q_{15}, r_{15}, s_{15}, W_{14}, Z_{14}
  38. Polygon(V_{15}, V_{15} + (2, 0), 4) → poly9_{15}, p_{16}, q_{16}, r_{16}, s_{16}, W_{15}, Z_{15}
  39. Polygon(V_{16}, V_{16} + (2, 0), 4) → poly9_{16}, p_{17}, q_{17}, r_{17}, s_{17}, W_{16}, Z_{16}
  40. Polygon(V_{17}, V_{17} + (2, 0), 4) → poly9_{17}, p_{18}, q_{18}, r_{18}, s_{18}, W_{17}, Z_{17}
  41. Polygon(V_{18}, V_{18} + (2, 0), 4) → poly9_{18}, p_{19}, q_{19}, r_{19}, s_{19}, W_{18}, Z_{18}
  42. Polygon(V_{19}, V_{19} + (2, 0), 4) → poly9_{19}, p_{20}, q_{20}, r_{20}, s_{20}, W_{19}, Z_{19}
  43. Polygon(V_{20}, V_{20} + (2, 0), 4) → poly9_{20}, p_{21}, q_{21}, r_{21}, s_{21}, W_{20}, Z_{20}
  44. Polygon(V_{21}, V_{21} + (2, 0), 4) → poly9_{21}, p_{22}, q_{22}, r_{22}, s_{22}, W_{21}, Z_{21}
  45. Polygon(V_{22}, V_{22} + (2, 0), 4) → poly9_{22}, p_{23}, q_{23}, r_{23}, s_{23}, W_{22}, Z_{22}
  46. Polygon(V_{23}, V_{23} + (2, 0), 4) → poly9_{23}, p_{24}, q_{24}, r_{24}, s_{24}, W_{23}, Z_{23}
  47. Polygon(V_{24}, V_{24} + (2, 0), 4) → poly9_{24}, p_{25}, q_{25}, r_{25}, s_{25}, W_{24}, Z_{24}

AI 绘图提示语参考

绘制一个由正方形组成的阶梯状图案,从底部开始,先画一个边长为10的大正方形,然后在其上方依次叠加边长递减的正方形,边长依次为9、8、7、6,接着画多个边长为5的正方形,再画多个边长为4、3、2的正方形,每个正方形都水平排列,且每个新正方形的一边与下方正方形的上边对齐,整体形成类似金字塔或覆盖的布局,所有正方形均为实心填充,颜色可统一。
以上提示语为根据原始绘图命令整理而来,仅供参考。