分数比较

分数比较
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2022-07-02 16:07
所属专题 Elementary School
①本范例通过动态图形演示分数的大小比较方法;②涉及核心数学概念包括分数、几何表示、比较方法;③作图要点:使用Point, Circle, Rotate, Angle, Polygon, Segment, CircleSector, Vector, Translate, Random等GeoGebra命令和对象构建几何模型;④适合初中及以上学生用于理解分数比较的直观方法,也可用于数学教学演示。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Circle(A, 1) → c_{4}
  3. Point(xAxis) → B
  4. Circle(B, 1) → d_{2}
  5. Point(c_{4}) → C
  6. Rotate(C, alpha1, A) → C'
  7. Angle(C, A, C') → α
  8. Polygon(C, C', b) → poly1, f, q, r, s, t, a_{2}, b_{2}, e, f_1, g_1, h_1, g, i_1, D, E, F, G, H, I, J, K, L, h, M, N, O, P, Q, R, S, T, U, i, j, k, l, n, p
  9. Segment(A, C) → j_1
  10. Segment(A, C') → k_1
  11. Segment(A, D) → l_1
  12. Segment(A, U) → m_1
  13. Segment(A, T) → n_1
  14. Segment(A, S) → p_1
  15. Segment(A, R) → q_1
  16. Segment(A, Q) → r_1
  17. Segment(A, P) → s_1
  18. Segment(A, O) → t_1
  19. Segment(A, N) → a_1
  20. Segment(A, M) → b_1
  21. Segment(A, L) → c_1
  22. Segment(A, K) → d_1
  23. Segment(A, J) → e_1
  24. Segment(A, I) → f_2
  25. Segment(A, H) → g_2
  26. Segment(A, G) → h_2
  27. Segment(A, F) → i_2
  28. Segment(A, E) → j_2
  29. Rotate(C, (alpha1 * a), A) → C'_{1}
  30. CircleSector(A, C, C'_{1}) → c_2
  31. Point(d_{2}) → V
  32. Rotate(V, beta1, B) → V'
  33. Polygon(V, V', d) → poly2, m, t_2, e_2, f_3, g_3, h_3, i_3, j_3, k_3, l_3, m_3, k_2, n_3, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, l_2, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, m_2, n_2, p_2, q_2, r_2, s_2
  34. Segment(D_1, B) → p_3
  35. Segment(C_1, B) → q_3
  36. Segment(B_1, B) → r_3
  37. Segment(A_1, B) → s_3
  38. Segment(Z, B) → t_3
  39. Segment(W, B) → a_3
  40. Segment(V', B) → b_3
  41. Segment(V, B) → c_3
  42. Segment(B, P_1) → d_3
  43. Segment(B, O_1) → e_3
  44. Segment(B, N_1) → f_4
  45. Segment(B, M_1) → g_4
  46. Segment(B, L_1) → h_4
  47. Segment(B, K_1) → i_4
  48. Segment(B, J_1) → j_4
  49. Segment(B, I_1) → k_4
  50. Segment(B, H_1) → l_4
  51. Segment(B, G_1) → m_4
  52. Segment(F_1, B) → n_4
  53. Segment(E_1, B) → p_4
  54. Rotate(V, (c * beta1), B) → V'_{1}
  55. Angle(V, B, V'_{1}) → β
  56. CircleSector(B, V, V'_{1}) → d_4
  57. Segment(Q_1, R_1) → q_4
  58. Point(q_4) → S_1
  59. Vector(Q_1, S_1) → u
  60. Translate(c_2, u) → e_4
  61. Random(2, 20) → den1
  62. Random(1, den1 - 1) → num1
  63. Random(2, 20) → den2
  64. Random(1, den2 - 1) → num2

AI 绘图提示语参考

画一个动态几何图形来比较分数,包含两个同心圆和一个旋转的三角形,通过旋转角度和扇形面积来展示分数大小关系,先画出两个半径为1的圆,再在第一个圆上取一点并旋转它,形成三角形,用扇形表示分数部分,最后通过旋转第二个圆上的点来比较两个分数的大小。
以上提示语为根据原始绘图命令整理而来,仅供参考。