螺旋线构造演示

螺旋线构造演示
几何画板及绘图内容加载中,请稍等……
2019-05-26 00:49
①本范例演示了螺旋线的动态构造过程及其几何特性;②涉及的核心数学概念包括幂函数、切线函数、对称性、二次方程和置信区间;③作图要点提炼自构造摘要,使用了Polygon(多边形)、Point(点)、OrthogonalLine(垂线)、Intersect(交点)、PointIn(点在对象内)等GeoGebra命令和对象;④适合高中及以上数学学习者,用于理解函数图像、几何变换及数据分析。

GeoGebra 命令及参数

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. Point(yAxis) → D
  3. OrthogonalLine(C, f) → i
  4. Polygon(C, D, 3) → poly2, j, k, l, E
  5. Intersect(g, k) → F
  6. Polygon(C, F, 3) → poly3, m, n, p, G
  7. Intersect(l, n) → H
  8. Polygon(C, H, 3) → poly4, q, r, s, I
  9. Intersect(p, r) → J
  10. Polygon(C, J, 3) → poly5, t, a, b, K
  11. Intersect(s, a) → L
  12. Polygon(C, L, 3) → poly6, c, d, e, M
  13. Intersect(d, b) → N
  14. Polygon(C, N, 3) → poly7, f_1, g_1, h_1, O
  15. Intersect(i, e) → P
  16. Intersect(g_1, i) → Q
  17. Polygon(C, Q, 3) → poly8, i_1, j_1, k_1, R
  18. Intersect(g, j_1) → S
  19. Intersect(j_1, h_1) → T
  20. Polygon(C, T, 3) → poly9, l_1, m_1, n_1, U
  21. Intersect(k_1, m_1) → V
  22. Polygon(C, V, 3) → poly10, p_1, q_1, r_1, W
  23. Intersect(poly9, poly10) → Z, A_1, B_1, C_1, D_1, E_1, F_1
  24. Polygon(C, E_1, 3) → poly11, s_1, t_1, a_1, G_1
  25. Intersect(r_1, t_1) → H_1
  26. Polygon(C, H_1, 3) → poly12, b_1, c_1, d_1, I_1
  27. Intersect(h, a_1) → J_1
  28. Intersect(c_1, h) → K_1
  29. Polygon(C, K_1, 3) → poly13, e_1, f_2, g_2, L_1
  30. Intersect(i, j) → M_1
  31. Intersect(poly1, poly2) → N_1, O_1, P_1, Q_1, R_1, S_1, T_1
  32. Intersect(f_2, i) → U_1
  33. Polygon(C, U_1, 3) → poly14, h_2, i_2, j_2, V_1
  34. Intersect(g, m) → W_1
  35. Intersect(g, m) → Z_1
  36. Intersect(i_2, poly2) → A_2
  37. Intersect(i_2, g) → B_2
  38. Polygon(C, B_2, 3) → poly15, k_2, l_2, m_2, C_2
  39. Intersect(l_2, l) → D_2
  40. Polygon(C, D_2, 3) → poly16, n_2, p_2, q_2, E_2
  41. PointIn(poly1) → Pointpoly1
  42. PointIn(poly2) → Pointpoly2
  43. PointIn(poly3) → Pointpoly3
  44. PointIn(poly4) → Pointpoly4
  45. PointIn(poly5) → Pointpoly5
  46. PointIn(poly6) → Pointpoly6

AI 绘图提示语参考

绘制一个螺旋图形,从点C开始,依次通过点F、H、J、L、N、P、Q、S、T、V、H1、K1、E1、H1、J1、K1、L1、U1、V1、A2、B2、C2、D2、E2,形成一系列多边形,展示螺旋的动态构造过程。
以上提示语为根据原始绘图命令整理而来,仅供参考。