抛物线活动 by PJ Yim

抛物线活动 by PJ Yim
几何画板及绘图内容加载中,请稍等……
2018-03-31 05:13
该范例演示了抛物线的几何性质。核心数学概念包括抛物线、焦点、准线和顶点。通过使用GeoGebra命令如Point、OrthogonalLine、LineBisector等,可以动态展示抛物线的构造过程。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Point(directrix) → B
  2. Point(directrix) → C
  3. Point(directrix) → F
  4. Point(directrix) → G
  5. Point(directrix) → J
  6. Point(directrix) → K
  7. Point(directrix) → L
  8. Point(directrix) → M
  9. Point(directrix) → N
  10. Point(directrix) → O
  11. OrthogonalLine(N, directrix) → j
  12. OrthogonalLine(M, directrix) → k
  13. OrthogonalLine(L, directrix) → l
  14. OrthogonalLine(K, directrix) → m
  15. OrthogonalLine(J, directrix) → p
  16. OrthogonalLine(B, directrix) → q
  17. OrthogonalLine(C, directrix) → s
  18. OrthogonalLine(F, directrix) → b
  19. OrthogonalLine(G, directrix) → c
  20. LineBisector(Focus, K) → r
  21. Intersect(m, r) → Q
  22. LineBisector(J, Focus) → n
  23. Intersect(p, n) → R
  24. LineBisector(Focus, L) → d
  25. Intersect(l, d) → S
  26. LineBisector(Focus, M) → e
  27. Intersect(k, e) → T
  28. LineBisector(Focus, N) → f_1
  29. Intersect(j, f_1) → U
  30. OrthogonalLine(Focus, directrix) → f
  31. Intersect(directrix, f_1) → A
  32. LineBisector(Focus, A) → g
  33. Intersect(f, g) → H
  34. LineBisector(Focus, C) → h
  35. Intersect(s, h) → I
  36. LineBisector(B, Focus) → i
  37. Intersect(q, i) → P
  38. OrthogonalLine(O, directrix) → g_1
  39. LineBisector(O, Focus) → h_1
  40. Intersect(g_1, h_1) → V
  41. LineBisector(Focus, F) → a
  42. Intersect(b, a) → E
  43. LineBisector(G, Focus) → i_1
  44. Intersect(c, i_1) → W
  45. Point(directrix) → D
  46. Point(directrix) → Z
  47. Point(directrix) → A_1
  48. OrthogonalLine(D, directrix) → t
  49. OrthogonalLine(Z, directrix) → j_1
  50. OrthogonalLine(A_1, directrix) → k_1
  51. LineBisector(D, Focus) → l_1
  52. Intersect(t, l_1) → B_1
  53. LineBisector(Z, Focus) → m_1
  54. Intersect(j_1, m_1) → C_1
  55. LineBisector(Focus, A_1) → n_1
  56. Intersect(k_1, n_1) → D_1

AI 绘图提示语参考

绘制抛物线及其焦点、准线和顶点。首先在直线上创建焦点F和准线B、C、D、E、F、G、H、I、J、K、L、M、N、O,然后通过焦点和准线构造一系列垂直线和角平分线,最终形成抛物线。
以上提示语为根据原始绘图命令整理而来,仅供参考。