抛物线:焦点性质

抛物线:焦点性质
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2023-03-17 00:50
所属专题 geometriadinamica.es
这个范例演示了抛物线的焦点性质。核心数学概念包括抛物线的定义和焦点的几何意义。通过使用GeoGebra命令如OrthogonalLine、Intersect、Segment等,可以构造抛物线及其焦点。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. OrthogonalLine(A, f) → m
  2. Intersect(c, f) → B,
  3. Intersect(c, e) → C,
  4. Intersect(c, d) → D,
  5. Intersect(c, b) → E,
  6. Intersect(c, a) → G,
  7. Intersect(c, g) → H,
  8. Intersect(c, h) → I,
  9. Intersect(c, i) → J,
  10. Intersect(c, j) → K,
  11. Intersect(c, k) → L,
  12. Intersect(c, l) → M,
  13. Intersect(f, m) → N
  14. Intersect(e, m) → O
  15. Intersect(d, m) → P
  16. Intersect(b, m) → Q
  17. Intersect(a, m) → R
  18. Intersect(g, m) → S
  19. Intersect(h, m) → T
  20. Intersect(i, m) → U
  21. Intersect(j, m) → V
  22. Intersect(k, m) → W
  23. Intersect(l, m) → Y
  24. Segment(Z, A_1) → n
  25. OrthogonalLine(Z, n) → q
  26. OrthogonalLine(A_1, n) → r
  27. Point(q) → B_1
  28. OrthogonalLine(B_1, q) → s
  29. Intersect(s, r) → C_1
  30. Point(s) → D_1
  31. Segment(B_1, D_1) → t
  32. Segment(D_1, C_1) → ee
  33. Point(n) → E_1
  34. OrthogonalLine(E_1, n) → b_1
  35. Intersect(t, b_1) → F_1
  36. Intersect(b_1, ee) → G_1
  37. Segment(B_1, F_1) → cc
  38. Segment(NN, N) → c_1
  39. Segment(D_1, G_1) → dd
  40. Segment(NNN, N) → a_1
  41. Segment(B, BF) → d_1
  42. Segment(OO, O) → e_1
  43. Segment(P, P) → f_1
  44. Segment(QQ, Q) → g_1
  45. Segment(PP, P) → h_1
  46. Segment(RR, R) → i_1
  47. Segment(SS, S) → j_1
  48. Segment(TT, T) → k_1
  49. Segment(UU, U) → l_1
  50. Segment(VV, V) → m_1
  51. Segment(WW, W) → n_1
  52. Segment(YY, Y) → p_1
  53. Segment(OOO, O) → q_1
  54. Segment(PPP, P) → r_1
  55. Segment(QQQ, Q) → s_1
  56. Segment(RRR, R) → t_1
  57. Segment(SSS, S) → a_2
  58. Segment(TTT, T) → b_2
  59. Segment(UUU, U) → c_2
  60. Segment(VVV, V) → d_2
  61. Segment(WWW, W) → e_2
  62. Segment(YYY, Y) → f_2
  63. Segment(C, CF) → g_2
  64. Segment(D, DF) → h_2
  65. Segment(E, EF) → i_2
  66. Segment(G, GF) → j_2
  67. Segment(I, IF) → k_2
  68. Segment(J, JF) → l_2
  69. Segment(K, KF) → m_2
  70. Segment(L, LF) → n_2
  71. Segment(M, MF) → p_2

AI 绘图提示语参考

画一个抛物线,展示其焦点性质。首先画出抛物线,然后确定其焦点。接着,从焦点向抛物线引垂线,并找到垂足。再从垂足向抛物线引垂线,找到新的交点。重复此过程,画出多条垂线和交点,最后用线段连接这些点,形成抛物线的形状。
以上提示语为根据原始绘图命令整理而来,仅供参考。