积极 AI Logo 积极 AI

动态金字塔

动态金字塔
几何画板及绘图内容加载中，请稍等……
2017-08-05 10:07
函数三角函数立体几何
该范例展示了金字塔的动态变化过程。它涉及到了几何变换、三角函数和多项式函数等核心数学概念。通过使用If语句、点、多边形、线段、旋转、中点等GeoGebra命令，可以构造出一个动态的金字塔模型。适合高中数学教学和学习使用。

GeoGebra 命令及参数

  1. If(A2 > 0, (A2, B2), 0) → C2
  2. If(A3 > 0, (A3, B3), 0) → C3
  3. If(A4 > 0, (A4, B4), " ") → C4
  4. If(A5 > 0, (A5, B5), " ") → C5
  5. If(A6 > 0, (A6, B6), " ") → C6
  6. If(A7 > 0, (A7, B7), " ") → C7
  7. If(A8 > 0, (A8, B8), " ") → C8
  8. If(A9 > 0, (A9, B9), " ") → C9
  9. If(A10 > 0, (A10, B10), " ") → C10
  10. If(A11 > 0, (A11, B11), " ") → C11
  11. If(A12 > 0, (A12, B12), " ") → C12
  12. If(A13 > 0, (A13, B13), " ") → C13
  13. If(A14 > 0, (A14, B14), " ") → C14
  14. If(A15 > 0, (A15, B15), " ") → C15
  15. If(A16 > 0, (A16, B16), " ") → C16
  16. If(A17 > 0, (A17, B17), " ") → C17
  17. If(A18 > 0, (A18, B18), " ") → C18
  18. If(A19 > 0, (A19, B19), " ") → C19
  19. If(A20 > 0, (A20, B20), " ") → C20
  20. If(A21 > 0, (A21, B21), " ") → C21
  21. If(A22 > 0, (A22, B22), " ") → C22
  22. If(A23 > 0, (A23, B23), " ") → C23
  23. If(A24 > 0, (A24, B24), " ") → C24
  24. If(A25 > 0, (A25, B25), " ") → C25
  25. If(A26 > 0, (A26, B26), " ") → C26
  26. If(A27 > 0, (A27, B27), " ") → C27
  27. If(A28 > 0, (A28, B28), " ") → C28
  28. If(A29 > 0, (A29, B29), " ") → C29
  29. If(A30 > 0, (A30, B30), " ") → C30
  30. If(A31 > 0, (A31, B31), " ") → C31
  31. If(A32 > 0, (A32, B32), " ") → C32
  32. If(A33 > 0, (A33, B33), " ") → C33
  33. If(A34 > 0, (A34, B34), " ") → C34
  34. If(A35 > 0, (A35, B35), " ") → C35
  35. Point(Circle[A, 1]) → B
  36. Point(Circle[D, 1]) → E
  37. Polygon((5.094626308379802, 4.705492463825604), (7.094626308379808, 4.705492463825604), 3) → poly3
  38. Segment(D, E) → j
  39. Point(Circle[C, 2]) → F
  40. Rotate(F, 60°, C) → F'
  41. Midpoint(C, F') → G
  42. Midpoint(C, F) → H
  43. Midpoint(F, F') → I
  44. Point(Circle[Q, 4]) → R
  45. Segment(Q, R) → f
  46. Polygon(Q, R, 3) → poly1, g, h, i, S
  47. Midpoint(S, Q) → T
  48. Midpoint(S, R) → U
  49. Midpoint(R, Q) → V
  50. Polygon(Q, V, T) → poly2, t_5, q_5, v
  51. Polygon(V, U, R) → poly7, r_5, v_1, u
  52. Polygon(U, T, S) → poly23, s_5, u_1, t_6
  53. Tool1(O) → poly14, poly15, g_2, h_2, poly16, k, l, c, f_1, g_1, h_1, i_1
  54. Intersect(h_2, g_2) → P
  55. Intersect(h_1, g_1) → W
  56. Tool1(W) → poly17, poly18, p_3, q_3, poly19, i_2, i_3, j_3, k_3, l_3, m_3, n_3
  57. Tool1(P) → poly20, poly21, e_3, f_4, poly22, r_3, s_3, t_3, a_3, b_3, c_3, d_3

AI 绘图提示语参考

绘制一个动态变化的金字塔，包含底面为三角形的多面体。首先在坐标系中绘制底面三角形，然后围绕底面三角形的中心点旋转生成金字塔的侧面，最后添加顶点和底面的连接线。
以上提示语为根据原始绘图命令整理而来，仅供参考。