滑动游戏:几何变换与轨迹分析

滑动游戏:几何变换与轨迹分析
几何画板及绘图内容加载中,请稍等……
2014-09-21 01:58
本范例通过几何变换演示图形动态变化现象。核心数学概念包括相似变换、线性方程与向量运算。作图要点涉及OrthogonalLine、Intersect、Polygon等GeoGebra命令及多边形构造。适合中学几何教学与动态几何探索。

GeoGebra 命令及参数

  1. OrthogonalLine(F, yAxis) → a
  2. OrthogonalLine(E, yAxis) → b
  3. OrthogonalLine(D, yAxis) → c
  4. OrthogonalLine(C, yAxis) → d
  5. OrthogonalLine(B, yAxis) → e
  6. OrthogonalLine(G, xAxis) → f
  7. OrthogonalLine(H, xAxis) → g
  8. OrthogonalLine(I, xAxis) → h
  9. OrthogonalLine(J, xAxis) → i
  10. OrthogonalLine(K, xAxis) → j
  11. OrthogonalLine(L, xAxis) → k
  12. Intersect(f, a) → M
  13. Intersect(g, a) → N
  14. Intersect(h, a) → O
  15. Intersect(i, a) → P
  16. Intersect(j, a) → Q
  17. Intersect(k, a) → R
  18. Intersect(k, b) → S
  19. Intersect(k, c) → T
  20. Intersect(k, d) → U
  21. Intersect(k, e) → V
  22. Intersect(j, b) → W
  23. Intersect(j, c) → Z
  24. Intersect(j, d) → A_1
  25. Intersect(j, e) → B_1
  26. Intersect(i, e) → C_1
  27. Intersect(i, d) → D_1
  28. Intersect(i, c) → E_1
  29. Intersect(i, b) → F_1
  30. Intersect(h, b) → G_1
  31. Intersect(h, c) → H_1
  32. Intersect(h, d) → I_1
  33. Intersect(h, e) → J_1
  34. Intersect(e, g) → K_1
  35. Intersect(g, d) → L_1
  36. Intersect(g, c) → M_1
  37. Intersect(g, b) → N_1
  38. Intersect(f, b) → O_1
  39. Intersect(f, c) → P_1
  40. Intersect(f, d) → Q_1
  41. Intersect(f, e) → R_1
  42. Polygon(R_1, K_1, H, G) → poli2, r_2, k_1, h_1, g_2
  43. Polygon(H, I, J_1, K_1) → poli3, h_2, i_1, j_1, k_2
  44. Polygon(I, J, C_1, J_1) → poli4, i_2, j_2, c_1, j_3
  45. Polygon(I_1, D_1, C_1, J_1) → poli5, i_3, d_1, c_2, j_4
  46. Polygon(H_1, E_1, D_1, I_1) → poli6, h_3, e_1, d_2, i_4
  47. Polygon(M_1, H_1, I_1, L_1) → poli7, m_1, h_4, i_5, l_1
  48. Polygon(H_1, G_1, F_1, E_1) → poli8, h_5, g_3, f_1, e_2
  49. Polygon(N, O, G_1, N_1) → poli9, n, o, g_4, n_1
  50. Polygon(O, P, F_1, G_1) → poli10, o_1, p, f_2, g_5
  51. Polygon(F_1, W, Q, P) → poli11, f_3, w, q, p_1
  52. Polygon(Q, R, S, W) → poli12, q_1, r, s, w_1
  53. Polygon(C_1, B_1, K, J) → poli13, c_3, b_2, k_3, j_5
  54. VerticalText(testo1) → testo2

AI 绘图提示语参考

这是一个几何变换的动态图形,包含多个线段和点。线段从原点向外延伸,形成一系列垂直和水平的线。点通过这些线段的交点连接,形成一个复杂的图形结构。图形展示了相似变换和线性方程的应用,适合用于几何教学和探索。
以上提示语为根据原始绘图命令整理而来,仅供参考。