混合问题与百分比计算：几何与函数结合的数学范例

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