直圆锥/直棱锥的曲面面积：几何构造演示

GeoGebra 命令及参数

1. Line(J, K) → h
2. Circle(J, width) → g
3. Intersect(g, h, 1) → M
4. Vector(J, M) → w
5. Translate(A, Vector[w / 2]) → C
6. Dilate(I, length, H) → L
7. Vector(H, L) → v
8. Translate(C, v) → D
9. Midpoint(C, D) → Q_1
10. Translate(A, v) → B
11. Midpoint(A, B) → Y
12. Line(Y, Q_1) → g_1
13. Midpoint(C, B) → N
14. Circle(Q_1, N) → k_1
15. Intersect(k_1, g_1, 2) → V_1
16. Dilate(F, height, E) → G
17. Vector(E, G) → u
18. Translate(N, u) → O
19. Polygon(A, B, D, C) → P, a, b, d, c
20. Polygon(O, C, D) → Q, d_1, o, c_1
21. Polygon(O, A, C) → R, c_2, o_1, a_1
22. Polygon(O, D, B) → S, b_1, o_2, d_2
23. Polygon(O, A, B) → T, b_2, o_3, a_2
24. Midpoint(B, D) → U
25. Segment(O, N) → e
26. Segment(O, U) → f
27. Midpoint(O, U) → W
28. Midpoint(O, N) → V
29. If(height ≤ 5, C) → Z
30. Segment(Z, O) → i
31. Segment(Z, A) → j
32. Line(N, U) → k
33. Intersect(k, c) → E_1
34. OrthogonalLine(E_1, k) → l
35. OrthogonalLine(U, k) → m
36. Circle(E_1, width / 2) → p
37. Intersect(p, l, 2) → F_1
38. OrthogonalLine(F_1, l) → n
39. Intersect(p, l, 1) → G_1
40. OrthogonalLine(G_1, l) → q
41. Intersect(m, n) → H_1
42. Intersect(m, q) → I_1
43. Midpoint(F_1, H_1) → J_1
44. Midpoint(I_1, G_1) → K_1
45. Line(J_1, K_1) → r
46. Circle(E_1, A1) → s
47. Midpoint(H_1, I_1) → L_1
48. Circle(U, A1) → t
49. Intersect(s, k, 1) → M_1
50. Intersect(t, k, 2) → N_1
51. Circle(J_1, A2) → e_1
52. Circle(K_1, A2) → f_1
53. Intersect(e_1, r, 1) → O_1
54. Intersect(f_1, r, 2) → P_1
55. Vector(O, M_1) → z_1
56. Vector(O, N_1) → i_1
57. Midpoint(Q_1, N) → R_1
58. Midpoint(Y, N) → S_1
59. Circle(S_1, O) → q_1
60. Intersect(q_1, g_1, 1) → T_1
61. Vector(T_1, P_1) → u_1
62. Vector(O, T_1) → w_1
63. Vector(A, G_1) → l_1
64. Vector(B, I_1) → n_1
65. Vector(D, H_1) → r_1
66. Circle(V_1, O) → h_1
67. Vector(C, F_1) → s_1
68. Intersect(h_1, g_1, 2) → U_1
69. Vector(O, U_1) → z
70. Vector(U_1, O_1) → j_1
71. CircleArc(S_1, O, T_1) → p_1
72. CircleArc(V_1, U_1, O) → t_1
73. CircumcircleArc(M_1, O, N_1) → e_2
74. Center(e_2) → W_1
75. Translate(O, Vector[(w_1 * m_1)]) → O'
76. Translate(O, Vector[(z_1 * (m_1 - 1))]) → O'_1
77. Translate(O, Vector[(z * (m_1 - 2))]) → O'_2
78. Translate(O, Vector[(i_1 * (m_1 - 3))]) → O'_3
79. Translate(T_1, Vector[(u_1 * (m_1 - 4))]) → Z_1
80. Translate(U_1, Vector[(j_1 * (m_1 - 4))]) → A_2
81. Ray(S_1, O') → f_2
82. Intersect(p_1, f_2, 1) → C_2
83. If(m_1 ≤ 0, O, If[m_1 < 1, C_2, If[m_1 < 4, T_1, If[m_1 < 5, Z_1, P_1]]]) → B_2
84. Ray(W_1, O'_1) → g_2
85. Intersect(e_2, g_2, 1) → D_2
86. If(m_1 ≤ 1, O, If[m_1 < 2, D_2, M_1]) → E_2
87. Ray(W_1, O'_3) → h_2
88. Intersect(e_2, h_2, 1) → F_2
89. If(m_1 ≤ 3, O, If[m_1 < 4, F_2, N_1]) → G_2
90. Ray(V_1, O'_2) → i_2
91. Intersect(t_1, i_2, 1) → H_2
92. If(m_1 ≤ 2, O, If[m_1 < 3, H_2, If[m_1 < 4, U_1, If[m_1 < 5, A_2, O_1]]]) → I_2
93. Translate(A, Vector[(l_1 * (m_1 - 4))]) → A'
94. Translate(B, Vector[(n_1 * (m_1 - 4))]) → B'
95. Translate(D, Vector[(r_1 * (m_1 - 4))]) → D'
96. Translate(C, Vector[(s_1 * (m_1 - 4))]) → C'
97. If(m_1 ≤ 4, A, If[m_1 < 5, A', G_1]) → J_2
98. If(m_1 ≤ 4, C, If[m_1 < 5, C', F_1]) → K_2
99. If(m_1 ≤ 4, D, If[m_1 < 5, D', H_1]) → L_2
100. If(m_1 ≤ 4, B, If[m_1 < 5, B', I_1]) → M_2
101. Polygon(E_2, K_2, J_2) → poly1, j_2, e_3, k_2
102. Polygon(J_2, M_2, B_2) → poly2, b_3, j_3, m_2
103. Polygon(M_2, G_2, L_2) → poly3, l_2, m_3, g_3
104. Polygon(L_2, I_2, K_2) → poly4, k_3, l_3, i_3
105. Polygon(K_2, J_2, M_2, L_2) → poly5, k_4, j_4, m_4, l_4
106. Segment(U, G_2) → n_2
107. Midpoint(U, G_2) → N_2
108. Midpoint(O, U) → O_2
109. Vector(P_2, N_2) → u_2
110. Vector(P_2, O_2) → v_2
111. Segment(N, O) → p_2
112. Midpoint(O, N) → Q_2
113. Segment(A, O) → q_2
114. Segment(B, O) → r_2
115. Segment(D, O) → t_2
116. Segment(C, O) → a_3
117. Segment(U, O) → c_3
118. Midpoint(K_2, L_2) → R_2
119. Segment(R_2, A_2) → d_3
120. Midpoint(Q_2, I_2) → S_2
121. Vector(T_2, S_2) → w_2
122. Segment(J_2, K_2) → f_3