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水蒸发百分比

水蒸发百分比
几何画板及绘图内容加载中，请稍等……
2015-08-11 16:04
函数解析几何微积分概率统计函数图像
所属专题 Chemistry2
①本范例演示水蒸发过程中百分比变化的动态图表；②涉及核心数学概念包括线性函数、幂函数、饼图、解析几何、微积分和概率统计；③构造要点：使用Line, OrthogonalLine, Intersect, Ray, Textfield, Segment, Midpoint, VerticalText, Min, Max, Sequence, KeepIf, Element, IndexOf, Polygon等GeoGebra命令和对象；④适合高中及以上数学教学和数据分析入门学习。

GeoGebra 命令及参数

  1. Line(A_2, C_2) → p
  2. OrthogonalLine(G_2, f_1) → q
  3. Intersect(q, p) → B_2
  4. Ray(A_4, B_4) → l
  5. OrthogonalLine(E_4, j_1) → m
  6. Intersect(l, m) → C_4
  7. Line(A_3, B_3) → f
  8. Intersect(c, f) → C_3
  9. Textfield(m_11) → inputBoxm_11
  10. Textfield(m_21) → inputBoxm_21
  11. Textfield(w_11) → inputBoxw_11
  12. Textfield(m_32) → inputBoxm_32
  13. Line(A_1, C_1) → b
  14. Intersect(a, b) → B_1
  15. Segment(E_1, C_1) → b_1
  16. Segment(C_1, F_1) → c_1
  17. Segment(D_1, B_1) → a_1
  18. Segment(B_1, G_1) → d_1
  19. Segment(G_2, B_2) → d_2
  20. Segment(B_2, D_2) → a_2
  21. Segment(C_2, E_2) → b_2
  22. Segment(C_2, F_2) → c_2
  23. Segment(G_3, B_3) → d_3
  24. Segment(D_3, B_3) → a_3
  25. Line(B_4, C_4) → i
  26. Segment(G_4, B_4) → d_4
  27. Segment(B_4, D_4) → a_4
  28. Segment(F_4, C_4) → c_4
  29. Segment(C_4, E_4) → b_4
  30. Midpoint(D_2, E_2) → S_2
  31. Midpoint(D_4, E_4) → S_4
  32. Textfield(w_12) → inputBoxw_12
  33. Textfield(w_13) → inputBoxw_13
  34. Textfield(w_33) → inputBoxw_33
  35. Textfield(m_13) → inputBoxm_13
  36. Textfield(w_32) → inputBoxw_32
  37. Textfield(w_34) → inputBoxw_34
  38. Textfield(m_34) → inputBoxm_34
  39. Midpoint(D_1, E_1) → S_1
  40. VerticalText(Oy) → Oyv
  41. VerticalText(text2) → text3
  42. Min(w_13, w_23) → min3
  43. Max(w_13, w_23) → max3
  44. Sequence((100 * n), n, 0, 200) → list1
  45. KeepIf(0 < x ≤ 100, list21) → list31
  46. Element(list31, 1) → elem1
  47. IndexOf(elem1, list21) → index1
  48. Element(list1, index1) → scale
  49. Polygon(H_1, I_1, M_1, L_1) → poly1z1, a_5, b_5, c_5, d_5
  50. Polygon(H_1, I_1, J_1, K_1) → poly1b1, d, e, j, k
  51. Midpoint(D_3, E_3) → S_3
  52. Ray(F_3, C_3) → h
  53. Polygon(N_1, O_1, T_1, R_1) → poly1z2, n_1, o_1, t_5, r_5
  54. Polygon(N_1, O_1, P_1, Q_1) → poly1b2, n_2, o_2, p_5, q_5
  55. Polygon(U_1, V_1, W_1, X_1) → poly1b3, u_5, v_1, w_1, x_1
  56. Polygon(U_1, V_1, Z_1, Y_1) → poly1z3, u_6, v_2, z_1, y_1
  57. Segment(F_3, C_3) → c_3
  58. Segment(C_3, E_3) → b_3
  59. Polygon(H_2, I_2, J_2, K_2) → poly2b1, h_2, i_2, j_2, k_5
  60. Polygon(N_2, O_2, P_2, Q_2) → poly2b2, n_3, o_3, p_6, q_6
  61. Polygon(U_2, V_2, W_2, X_2) → poly2b3, u_7, v_3, w_2, x_2
  62. Polygon(H_2, I_2, M_2, L_2) → poly2z1, h_1, i_1, m_2, l_2
  63. Polygon(N_2, O_2, T_2, R_2) → poly2z2, n_4, o_4, t_6, r_6
  64. Polygon(U_2, V_2, Z_2, Y_2) → poly2z3, u_8, v_4, z_2, y_2
  65. Polygon(H_3, I_3, J_3, K_3) → poly3b1, h_3, i_3, j_3, k_6
  66. Polygon(N_3, O_3, P_3, Q_3) → poly3b2, n_5, o_5, p_7, q_7
  67. Polygon(U_3, V_3, W_3, X_3) → poly3b3, u_9, v_5, w_3, x_3
  68. Polygon(H_3, I_3, M_3, L_3) → poly3z1, h_4, i_4, m_1, l_3
  69. Polygon(N_3, O_3, T_3, R_3) → poly3z2, n_6, o_6, t_7, r_7
  70. Polygon(Y_3, U_3, V_3, Z_3) → poly3z3, y_3, u_{10}, v_6, z_3
  71. Polygon(H_4, I_4, J_4, K_4) → poly4b1, h_5, i_5, j_4, k_7
  72. Polygon(N_4, O_4, P_4, Q_4) → poly4b2, n_7, o_7, p_8, q_8
  73. Polygon(U_4, V_4, W_4, X_4) → poly4b3, u_{11}, v_7, w_4, x_4
  74. Polygon(H_4, I_4, M_4, L_4) → poly4z1, h_6, i_6, m_4, l_4
  75. Polygon(N_4, O_4, T_4, R_4) → poly4z2, n_8, o_8, t_8, r_8
  76. Polygon(U_4, V_4, Z_4, Y_4) → poly4z3, u_{12}, v_8, z_4, y_4
  77. Textfield(m_24) → inputBoxm_24
  78. Ray(E_4, C_4) → n
  79. Segment(A_1, B_1) → g_1
  80. Ray(D_1, B_1) → t
  81. Segment(A_2, B_2) → g_2
  82. Ray(G_2, B_2) → e_1
  83. Segment(A_3, B_3) → g_3
  84. Segment(A_4, B_4) → g_4
  85. OrthogonalLine(F_2, f_1) → g

AI 绘图提示语参考

绘制一个展示水蒸发百分比的动态图形，包含线性函数和幂函数的图像，以及饼图和解析几何元素。首先画出两条线段相交确定一个点，然后从该点引出一条射线和一条垂线，两条线的交点再与另一条线段相交得到新点。接着绘制多个线段连接这些点，形成复杂的几何结构。在图形中添加文本框用于输入参数，并使用这些参数计算和显示数据。最后，根据计算结果调整图形元素的大小，展示水蒸发百分比的变化。
以上提示语为根据原始绘图命令整理而来，仅供参考。