混合问题求解-溶质添加与百分比

混合问题求解-溶质添加与百分比
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2018-05-07 12:25
①本范例演示了混合溶液中溶质添加与百分比计算的过程,通过动态图形展示溶液比例变化;②涉及核心数学概念包括加法、超几何分布、减法、比率、对数函数和频率分布;③作图要点提炼自GeoGebra命令:Ray(射线)、OrthogonalLine(垂线)、Intersect(交点)、Line(直线)、Textfield(文本框)、Segment(线段)、Midpoint(中点)、VerticalText(垂直文本)、Min(最小值)、Max(最大值)、Sequence(序列)、KeepIf(条件保留)、Element(元素)、IndexOf(索引)、Polygon(多边形);④适合高中阶段学习概率统计和解析几何的学生,用于理解混合溶液计算与可视化。

GeoGebra 命令及参数

  1. Ray(A_4, B_4) → l
  2. OrthogonalLine(E_4, e_1) → m
  3. Intersect(l, m) → C_4
  4. Line(A_3, B_3) → f
  5. Line(A_2, C_2) → p
  6. Intersect(c, f) → C_3
  7. Textfield(m_11) → inputBoxm_11
  8. Textfield(m_21) → inputBoxm_21
  9. Textfield(w_11) → inputBoxw_11
  10. Textfield(m_32) → inputBoxm_32
  11. Line(A_1, C_1) → b
  12. Intersect(a, b) → B_1
  13. Segment(E_1, C_1) → b_1
  14. Segment(C_1, F_1) → c_1
  15. Segment(D_1, B_1) → a_1
  16. Segment(B_1, G_1) → d_1
  17. Segment(A_1, C_1) → g_1
  18. OrthogonalLine(G_2, t) → q
  19. Intersect(q, p) → B_2
  20. Segment(A_2, C_2) → g_2
  21. Segment(G_2, B_2) → d_2
  22. Segment(B_2, D_2) → a_2
  23. Segment(C_2, E_2) → b_2
  24. Segment(C_2, F_2) → c_2
  25. Segment(G_3, B_3) → d_3
  26. Segment(D_3, B_3) → a_3
  27. Line(B_4, C_4) → i
  28. Segment(G_4, B_4) → d_4
  29. Segment(B_4, D_4) → a_4
  30. Segment(F_4, C_4) → c_4
  31. Segment(C_4, E_4) → b_4
  32. Segment(A_4, C_4) → g_4
  33. Midpoint(D_2, E_2) → S_2
  34. Midpoint(D_4, E_4) → S_4
  35. Textfield(w_12) → inputBoxw_12
  36. Textfield(w_13) → inputBoxw_13
  37. Textfield(w_33) → inputBoxw_33
  38. Textfield(m_13) → inputBoxm_13
  39. Textfield(w_32) → inputBoxw_32
  40. Textfield(w_34) → inputBoxw_34
  41. Textfield(m_34) → inputBoxm_34
  42. Midpoint(D_1, E_1) → S_1
  43. VerticalText(Oy) → Oyv
  44. VerticalText(text2) → text3
  45. Min(w_13, w_23) → min3
  46. Max(w_13, w_23) → max3
  47. Sequence((100 * n), n, 0, 200) → list1
  48. KeepIf(0 < x ≤ 100, list21) → list31
  49. Element(list31, 1) → elem1
  50. IndexOf(elem1, list21) → index1
  51. Element(list1, index1) → scale
  52. Polygon(H_1, I_1, M_1, L_1) → poly1z1, a_5, b_5, c_5, d_5
  53. Polygon(H_1, I_1, J_1, K_1) → poly1b1, d, e, j, k
  54. Midpoint(D_3, E_3) → S_3
  55. Ray(F_3, C_3) → h
  56. Segment(A_3, C_3) → g_3
  57. Polygon(N_1, O_1, T_1, R_1) → poly1z2, n_1, o_1, t_5, r_5
  58. Polygon(N_1, O_1, P_1, Q_1) → poly1b2, n_2, o_2, p_5, q_5
  59. Polygon(U_1, V_1, W_1, X_1) → poly1b3, u_5, v_1, w_1, x_1
  60. Polygon(U_1, V_1, Z_1, Y_1) → poly1z3, u_6, v_2, z_1, y_1
  61. Segment(F_3, C_3) → c_3
  62. Segment(C_3, E_3) → b_3
  63. Polygon(H_2, I_2, J_2, K_2) → poly2b1, h_2, i_2, j_2, k_5
  64. Polygon(N_2, O_2, P_2, Q_2) → poly2b2, n_3, o_3, p_6, q_6
  65. Polygon(U_2, V_2, W_2, X_2) → poly2b3, u_7, v_3, w_2, x_2
  66. Polygon(H_2, I_2, M_2, L_2) → poly2z1, h_1, i_1, m_2, l_2
  67. Polygon(N_2, O_2, T_2, R_2) → poly2z2, n_4, o_4, t_6, r_6
  68. Polygon(U_2, V_2, Z_2, Y_2) → poly2z3, u_8, v_4, z_2, y_2
  69. Polygon(H_3, I_3, J_3, K_3) → poly3b1, h_3, i_3, j_3, k_6
  70. Polygon(N_3, O_3, P_3, Q_3) → poly3b2, n_5, o_5, p_7, q_7
  71. Polygon(U_3, V_3, W_3, X_3) → poly3b3, u_9, v_5, w_3, x_3
  72. Polygon(H_3, I_3, M_3, L_3) → poly3z1, h_4, i_4, m_1, l_3
  73. Polygon(N_3, O_3, T_3, R_3) → poly3z2, n_6, o_6, t_7, r_7
  74. Polygon(Y_3, U_3, V_3, Z_3) → poly3z3, y_3, u_{10}, v_6, z_3
  75. Polygon(H_4, I_4, J_4, K_4) → poly4b1, h_5, i_5, j_4, k_7
  76. Polygon(N_4, O_4, P_4, Q_4) → poly4b2, n_7, o_7, p_8, q_8
  77. Polygon(U_4, V_4, W_4, X_4) → poly4b3, u_{11}, v_7, w_4, x_4
  78. Polygon(H_4, I_4, M_4, L_4) → poly4z1, h_6, i_6, m_4, l_4
  79. Polygon(N_4, O_4, T_4, R_4) → poly4z2, n_8, o_8, t_8, r_8
  80. Polygon(U_4, V_4, Z_4, Y_4) → poly4z3, u_{12}, v_8, z_4, y_4
  81. Textfield(m_24) → inputBoxm_24
  82. Ray(E_4, C_4) → n
  83. OrthogonalLine(F_2, t) → g

AI 绘图提示语参考

绘制一个混合物问题的图形,包括两个容器A和B,以及它们之间的溶液转移。容器A中有一定量的溶液,通过滑动条调整溶质的添加量,观察溶液比例的变化。容器B初始为空,通过转移线段显示溶液从A到B的转移过程,同时显示比例变化的文本框。
以上提示语为根据原始绘图命令整理而来,仅供参考。