利用函数图像近似计算定积分

GeoGebra 命令及参数

1. Textfield(f) → InputBox1
2. Textfield(a) → InputBox2
3. Textfield(b) → InputBox3
4. Integral(f, a, b) → i
5. Segment((a, 0), (b, 0)) → m
6. Sequence(Segment[(a + k / 2, 0), (a + k / 2, f(a + k / 2))], k, 0, n) → l1
7. Sequence(Polygon[(a + (k - 1) / 2, 0), (a + (k - 1) / 2, (2 * Integral[f, a + (k - 1) / 2, a + k / 2])), (a + k / 2, (2 * Integral[f, a + (k - 1) / 2, a + k / 2])), (a + k / 2, 0)], k, 1, n) → l2
8. Sequence(x = k / 2, k, -20, 20) → VL
9. Point(VL) → A
10. Rectangle(A) → q1, g, h, j, k
11. Point(VL) → B
12. Rectangle(B) → q2, l, p, q, r
13. Point(VL) → D
14. Rectangle(D) → q4, g_1, h_1, i_1, j_1
15. Point(VL) → E
16. Rectangle(E) → q5, k_1, l_1, m_1, n_1
17. Point(VL) → F
18. Rectangle(F) → q6, p_1, q_1, r_1, s_1
19. Point(VL) → H
20. Rectangle(H) → q8, d_1, e_1, f_2, g_2
21. Point(VL) → I
22. Rectangle(I) → q9, h_2, i_2, j_2, k_2
23. Point(VL) → J
24. Rectangle(J) → q10, l_2, m_2, n_2, p_2
25. Point(VL) → K
26. Rectangle(K) → q11, q_2, r_2, s_2, t_2
27. Point(VL) → L
28. Rectangle(L) → q12, a_2, b_2, c_2, d_2
29. Point(VL) → M
30. Rectangle(M) → q13, e_2, f_3, g_3, h_3
31. Point(VL) → N
32. Rectangle(N) → q14, i_3, j_3, k_3, l_3
33. Point(VL) → O
34. Rectangle(O) → q15, m_3, n_3, p_3, q_3
35. Point(VL) → P
36. Rectangle(P) → q16, r_3, s_3, t_3, a_3
37. Point(VL) → Q
38. Rectangle(Q) → q17, b_3, c_3, d_3, e_3
39. Point(VL) → S
40. Rectangle(S) → q19, j_4, k_4, l_4, m_4
41. Point(VL) → T
42. Rectangle(T) → q20, n_4, p_4, q_4, r_4
43. Point(VL) → V
44. Rectangle(V) → q22, c_4, d_4, e_4, f_5
45. Point(VL) → W
46. Rectangle(W) → q23, g_5, h_5, i_5, j_5
47. Point(VL) → Z
48. Rectangle(Z) → q24, k_5, l_5, m_5, n_5
49. Point(VL) → A_1
50. Rectangle(A_1) → q25, p_5, q_5, r_5, s_5
51. Point(VL) → B_1
52. Rectangle(B_1) → q26, t_5, a_5, b_5, c_5
53. Point(VL) → C_1
54. Rectangle(C_1) → q27, d_5, e_5, f_6, g_6
55. Point(VL) → D_1
56. Rectangle(D_1) → q28, h_6, i_6, j_6, k_6
57. Point(VL) → E_1
58. Rectangle(E_1) → q29, l_6, m_6, n_6, p_6
59. Point(VL) → F_1
60. Rectangle(F_1) → q30, q_6, r_6, s_6, t_6
61. Point(VL) → G_1
62. Rectangle(G_1) → q31, a_6, b_6, c_6, d_6
63. Point(VL) → H_1
64. Rectangle(H_1) → q32, e_6, f_7, g_7, h_7
65. Point(VL) → I_1
66. Rectangle(I_1) → q33, i_7, j_7, k_7, l_7
67. Point(VL) → J_1
68. Rectangle(J_1) → q34, m_7, n_7, p_7, q_7
69. Point(VL) → K_1
70. Rectangle(K_1) → q35, r_7, s_7, t_7, a_7
71. Point(VL) → L_1
72. Rectangle(L_1) → q36, b_7, c_7, d_7, e_7
73. Point(VL) → M_1
74. Rectangle(M_1) → q37, f_8, g_8, h_8, i_8
75. Point(VL) → N_1
76. Rectangle(N_1) → q38, j_8, k_8, l_8, m_8
77. Point(VL) → O_1
78. Rectangle(O_1) → q39, n_8, p_8, q_8, r_8
79. Point(VL) → P_1
80. Rectangle(P_1) → q40, s_8, t_8, a_8, b_8
81. Point(VL) → Q_1
82. Rectangle(Q_1) → q41, c_8, d_8, e_8, f_9
83. Point(VL) → R_1
84. Rectangle(R_1) → q42, g_9, h_9, i_9, j_9
85. Point(VL) → G
86. Rectangle(G) → q7, t_1, a_1, b_1, c_1
87. Point(VL) → R
88. Rectangle(R) → q18, f_4, g_4, h_4, i_4
89. Point(VL) → V_1
90. Rectangle(V_1) → q46, d_9, e_9, f_{10}, g_{10}