玫瑰与薰衣草精油按比例变化

玫瑰与薰衣草精油按比例变化
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2019-03-10 15:25
本范例展示了玫瑰和薰衣草精油按比例变化的关系。它涉及比例关系的核心数学概念。通过使用GeoGebra命令如Intersect、Circle、Line等,可以构造出这些变化的图形。适合初中及以上学生学习比例关系和几何作图。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 0.5) → c
  3. Intersect(c, yAxis, 2) → B
  4. Intersect(c, yAxis, 1) → C
  5. Line(B, xAxis) → f
  6. Line(C, xAxis) → g
  7. Circle(B, 0.4) → d
  8. Circle(C, 0.4) → e
  9. Intersect(d, yAxis, 2) → D
  10. Intersect(e, yAxis, 1) → E
  11. Line(D, f) → h
  12. Line(E, g) → i
  13. Circle(E, a) → k
  14. Intersect(k, i, 2) → F
  15. Circle(F, a) → p
  16. Intersect(p, i, 2) → G
  17. Circle(G, a) → q
  18. Intersect(q, i, 2) → H
  19. Circle(H, a) → r
  20. Intersect(r, i, 2) → I
  21. Circle(I, a) → s
  22. Intersect(s, i, 2) → J
  23. Circle(J, a) → t
  24. Intersect(t, i, 2) → K
  25. Circle(K, a) → c_1
  26. Intersect(c_1, i, 2) → L
  27. Circle(L, a) → d_1
  28. Intersect(d_1, i, 2) → M
  29. OrthogonalLine(F, i) → j
  30. OrthogonalLine(G, i) → l
  31. OrthogonalLine(H, i) → m
  32. OrthogonalLine(I, i) → n
  33. OrthogonalLine(J, i) → b
  34. OrthogonalLine(K, i) → f_1
  35. OrthogonalLine(L, i) → g_1
  36. OrthogonalLine(M, i) → h_1
  37. Intersect(g, j) → N
  38. Intersect(f, j) → O
  39. Intersect(h, j) → P
  40. Intersect(g, l) → Q
  41. Intersect(g, m) → R
  42. Intersect(g, n) → S
  43. Intersect(g, b) → T
  44. Intersect(g, f_1) → U
  45. Intersect(g, g_1) → V
  46. Intersect(g, h_1) → W
  47. Intersect(f, l) → Z
  48. Intersect(h, l) → A_1
  49. Intersect(f, m) → B_1
  50. Intersect(h, m) → C_1
  51. Intersect(f, n) → D_1
  52. Intersect(h, n) → E_1
  53. Intersect(f, b) → F_1
  54. Intersect(h, b) → G_1
  55. Polygon(B, O, P, D) → q1, b_1, o, p_1, d_2
  56. Polygon(O, Z, A_1, P) → q2, o_1, z_1, a_1, p_2
  57. Polygon(Z, B_1, C_1, A_1) → q3, z_2, b_2, c_2, a_2
  58. Polygon(B_1, D_1, E_1, C_1) → q4, b_3, d_3, e_1, c_3
  59. Polygon(D_1, F_1, G_1, E_1) → q5, d_4, f_2, g_2, e_2
  60. Polygon(E, F, N, C) → q6, e_3, f_3, n_1, c_4
  61. Polygon(F, G, Q, N) → q7, f_4, g_3, q_1, n_2
  62. Polygon(G, H, R, Q) → q8, g_4, h_2, r_1, q_2
  63. Polygon(H, I, S, R) → q9, h_3, i_1, s_1, r_2
  64. Polygon(I, J, T, S) → q10, i_2, j_1, t_1, s_2
  65. Polygon(J, K, U, T) → q11, j_2, k_1, u, t_2
  66. Polygon(K, L, V, U) → q12, k_2, l_1, v, u_1
  67. Polygon(L, M, W, V) → q13, l_2, m_1, w, v_1

AI 绘图提示语参考

画一个坐标系,在x轴和y轴的交点处画一个半径为0.5的圆,再在圆与y轴的1和2倍处画两个点,分别向x轴画两条线,以这两个点为圆心画半径为0.4的圆,再在两个小圆与y轴的1和2倍处画点,分别向之前画的x轴线画两条线,以此类推,画多个同心圆和相交线,展示比例关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。