四面体网线解法 - 3D

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Circle(B, A) → c
4. Circle(A, B) → d
5. Intersect(c, d, 2) → C
6. Circle(C, B) → e
7. Intersect(d, e, 2) → D
8. Intersect(c, e, 2) → E
9. Segment(D, A) → f
10. Segment(A, B) → g
11. Segment(E, B) → j
12. Segment(B, C) → k
13. Segment(C, E) → l
14. Segment(D, C) → m
15. Segment(C, A) → n
16. Midpoint(f) → G
17. Midpoint(m) → H
18. Midpoint(l) → I
19. Midpoint(n) → J
20. Midpoint(k) → K
21. Midpoint(j) → L
22. Midpoint(g) → O
23. Midpoint(D, H) → P
24. Midpoint(H, C) → Q
25. Midpoint(C, I) → R
26. Midpoint(I, E) → S
27. Midpoint(B, L) → Z
28. Midpoint(L, E) → A_1
29. Midpoint(K, B) → B_1
30. Midpoint(C, K) → C_1
31. Midpoint(C, J) → D_1
32. Midpoint(J, A) → E_1
33. Midpoint(B, O) → F_1
34. Midpoint(O, A) → G_1
35. Midpoint(A, G) → H_1
36. Midpoint(G, D) → I_1
37. Circle(D, A, C) → p
38. Circle(A, B, C) → q
39. Circle(C, B, E) → r
40. Center(p) → J_1
41. Center(q) → K_1
42. Center(r) → M_1
43. Segment(A, D) → t
44. Segment(A, E_1) → a
45. Midpoint(J, K_1) → N_1
46. Midpoint(K_1, O) → O_1
47. Midpoint(K_1, K) → P_1
48. Midpoint(J_1, J) → Q_1
49. Midpoint(J_1, H) → R_1
50. Midpoint(G, J_1) → S_1
51. Midpoint(M_1, I) → T_1
52. Midpoint(K, M_1) → U_1
53. Midpoint(M_1, L) → V_1
54. Segment(N_1, J_1) → b
55. Segment(J_1, S_1) → f_1
56. Segment(S_1, P) → g_1
57. Segment(J_1, H) → h_1
58. Midpoint(Q_1, Q) → B_2
59. Segment(D_1, B_2) → i_1
60. Segment(B_2, Q) → j_1
61. Segment(D_1, P_1) → k_1
62. Segment(P_1, F_1) → l_1
63. Segment(F_1, A) → m_1
64. Midpoint(N_1, G_1) → C_2
65. Segment(O_1, C_2) → n_1
66. Segment(C_2, N_1) → p_1
67. Segment(K_1, P_1) → q_1
68. Midpoint(Q_1, H_1) → D_2
69. Segment(E_1, D_2) → r_1
70. Segment(C, B) → s_1
71. Segment(B, E) → t_1
72. Segment(C_1, T_1) → f_2
73. Segment(I, M_1) → g_2
74. Segment(K, U_1) → h_2
75. Midpoint(S, V_1) → E_2
76. Midpoint(V_1, B_1) → F_2
77. Segment(E_2, A_1) → i_2
78. Segment(M_1, V_1) → j_2
79. Segment(V_1, F_2) → k_2
80. Segment(I_1, R_1) → p_2
81. Segment(R_1, B_2) → q_2
82. Segment(B_2, Q_1) → r_2
83. Segment(Q_1, H_1) → s_2
84. Segment(S_1, G) → t_2
85. Segment(S_1, D_2) → a_2
86. Segment(C_1, N_1) → b_2
87. Segment(N_1, K_1) → c_2
88. Segment(P_1, K) → d_2
89. Segment(K_1, O) → e_2
90. Segment(O_1, B_1) → f_3
91. Segment(C_2, E_1) → g_3
92. Segment(C_2, G_1) → h_3
93. Segment(R, U_1) → i_3
94. Segment(T_1, E_2) → j_3
95. Segment(S, V_1) → k_3
96. Segment(U_1, Z) → l_3
97. Segment(F_2, B_1) → m_3
98. Segment(U_1, M_1) → n_3
99. Segment(V_1, L) → p_3
100. Midpoint(U_1, C_1) → I_2
101. Segment(A, K) → e_3
102. Segment(B, J) → f_4
103. Intersect(f_4, e_3) → K_2
104. OrthogonalLine(K_2, xOyPlane) → g_4
105. Sphere(B, C) → o
106. Intersect(g_4, o, 2) → L_2
107. Point(Circle[Midpoint[A, B], (Distance[A, B] * sqrt(3) / 2), Segment[A, B]]) → M_2
108. Tetrahedron(A, B, M_2) → u, N_2, Kante5, Kante4, Fläche1, Fläche3, Fläche2, Fläche4, Kante1, KanteAB, Kante3, Kante2
109. Midpoint(M_2, B) → O_2
110. Midpoint(A, M_2) → P_2
111. Segment(A, O_2) → h_4
112. Segment(P_2, B) → i_4
113. Intersect(i_4, h_4) → S_2
114. Midpoint(S_2, O) → T_2
115. Midpoint(S_2, O_2) → U_2
116. Midpoint(S_2, P_2) → V_2
117. Midpoint(A, O) → W_2
118. Midpoint(O, B) → Z_2
119. Segment(B, M_2) → j_4
120. Segment(Z_2, U_2) → k_4
121. Segment(Z_2, A) → l_4
122. Segment(S_2, U_2) → m_4
123. Midpoint(V_2, W_2) → A_3
124. Segment(T_2, A_3) → n_4
125. Segment(A_3, V_2) → p_4
126. Segment(V_2, P_2) → q_4
127. Midpoint(P_2, M_2) → B_3
128. Midpoint(A, P_2) → C_3
129. Segment(A, C_3) → r_4
130. Segment(U_2, B_3) → s_4
131. Midpoint(O_2, M_2) → I_3
132. Midpoint(B, O_2) → L_3
133. Net(u, v) → w, N_3, Fläche8, Kante7, Kante6, Kante10, Kante13, Kante8, Kante9, Kante11, Kante12, Kante14, O_3, P_3, Q_3, R_3, S_3, Fläche5, Fläche7, Fläche6
134. Intersect(c, d, 1) → Q_2
135. Midpoint(A, Q_2) → R_2
136. Midpoint(B, Q_2) → D_3
137. Segment(A, Q_2) → t_4
138. Segment(B, Q_2) → a_4
139. Circle(A, Q_2, B) → c_4
140. Center(c_4) → E_3
141. Midpoint(R_2, E_3) → F_3
142. Midpoint(E_3, O) → G_3
143. Midpoint(D_3, E_3) → H_3
144. Midpoint(D_3, B) → J_3
145. Segment(J_3, G_3) → b_4
146. Segment(G_3, E_3) → d_4
147. Segment(E_3, F_3) → e_4
148. Segment(H_3, D_3) → f_5
149. Midpoint(A, R_2) → K_3
150. Midpoint(G_3, K_3) → M_3
151. Midpoint(R_2, Q_2) → T_3
152. Midpoint(H_3, T_3) → U_3
153. Segment(M_3, F_3) → g_5
154. Segment(F_3, U_3) → h_5
155. Segment(T_3, H_3) → i_5
156. Segment(H_3, E_3) → j_5
157. Segment(H_3, F_1) → k_5
158. Segment(G_3, O) → l_5
159. Segment(G_3, K_3) → m_5
160. Segment(M_3, G_1) → n_5
161. Segment(F_3, R_2) → p_5
162. Midpoint(Q_2, D_3) → V_3
163. Segment(U_3, V_3) → q_5
164. Midpoint(H_3, J_3) → W_3
165. Midpoint(R_3, O_3) → F
166. Midpoint(R_3, N_3) → M
167. Intersect(Kante9, l_4) → N
168. Segment(N_3, F) → h
169. Segment(O_3, M) → i
170. Intersect(i, h) → T
171. Midpoint(T, F) → U
172. Midpoint(F, O_3) → V
173. Midpoint(R_3, F) → W
174. Midpoint(R_3, M) → L_1
175. Midpoint(M, N_3) → W_1
176. Midpoint(T, M) → Z_1
177. Midpoint(T, O) → A_2
178. Midpoint(W_1, A_2) → G_2
179. Segment(N_3, R_3) → s
180. Segment(R_3, O_3) → a_1
181. Segment(F, U) → b_1
182. Midpoint(U, L_1) → H_2
183. Segment(H_2, Z_1) → c_1
184. Segment(Z_1, G_2) → d_1
185. Segment(Z_1, T) → e_1
186. Segment(T, A_2) → l_2
187. Segment(A_2, V) → m_2
188. Segment(A_3, W_2) → n_2
189. Segment(C_3, A_3) → q_3
190. Segment(C_3, P_2) → r_3
191. Segment(P_2, B_3) → s_3
192. Segment(B_3, P_3) → t_3
193. Segment(V_2, I_3) → a_3
194. Segment(U_2, O_2) → b_3
195. Segment(S_2, V_2) → c_3
196. Segment(S_2, T_2) → d_3
197. Segment(T_2, O) → r_5
198. Segment(T_2, L_3) → s_5
199. Segment(W_1, A_2) → t_5
200. Segment(A_2, O) → a_5
201. Segment(G_2, W_2) → b_5
202. Segment(H_2, W) → c_5
203. Segment(L_1, U) → d_5
204. Segment(T, U) → e_5
205. Segment(U, Z_2) → f_6
206. Segment(Z_1, M) → g_6
207. Segment(Z_2, O_3) → h_6
208. Midpoint(U, V) → J_2
209. Midpoint(O_3, S_3) → Z_3
210. Midpoint(S_3, P_3) → A_4
211. Segment(O_3, A_4) → i_6
212. Segment(Z_3, P_3) → j_6
213. Intersect(i_6, j_6) → B_4
214. Midpoint(B_4, A_4) → C_4
215. Midpoint(B_4, Z_3) → D_4
216. Midpoint(B_4, O_2) → E_4
217. Midpoint(P_3, A_4) → F_4
218. Midpoint(A_4, S_3) → G_4
219. Midpoint(Z_3, S_3) → H_4
220. Midpoint(O_3, Z_3) → I_4
221. Midpoint(C_4, H_4) → J_4
222. Midpoint(I_4, E_4) → K_4
223. Segment(O_3, S_3) → k_6
224. Segment(H_4, J_4) → l_6
225. Segment(A_4, B_4) → m_6
226. Segment(B_4, D_4) → n_6
227. Segment(D_4, K_4) → p_6
228. Segment(E_4, O_2) → q_6
229. Segment(I_3, C_4) → r_6
230. Midpoint(I_3, E_4) → L_4
231. Segment(L_3, K_4) → s_6
232. Segment(E_4, I_4) → t_6
233. Segment(E_4, B_4) → a_6
234. Segment(D_4, Z_3) → b_6
235. Segment(C_4, J_4) → c_6
236. Segment(D_4, G_4) → d_6
237. Segment(P_3, S_3) → e_6
238. Segment(E_4, F_4) → f_7
239. Midpoint(N_3, Q_3) → M_4
240. Midpoint(Q_3, P_3) → N_4
241. Segment(N_3, N_4) → g_7
242. Segment(M_4, P_3) → h_7
243. Intersect(h_7, g_7) → O_4
244. Midpoint(Q_3, M_4) → P_4
245. Midpoint(Q_3, N_4) → Q_4
246. Midpoint(N_4, P_3) → R_4
247. Midpoint(N_3, M_4) → S_4
248. Midpoint(O_4, N_4) → T_4
249. Midpoint(M_4, O_4) → U_4
250. Midpoint(O_4, P_2) → V_4
251. Midpoint(T_4, B_3) → W_4
252. Midpoint(V_4, S_4) → Z_4
253. Segment(N_3, Q_3) → i_7
254. Segment(C_3, Z_4) → j_7
255. Segment(Q_4, U_4) → k_7
256. Segment(U_4, O_4) → l_7
257. Segment(N_4, O_4) → m_7
258. Segment(O_4, P_2) → n_7
259. Segment(W_4, B_3) → p_7
260. Segment(W_4, R_4) → q_7
261. Segment(S_4, V_4) → r_7
262. Segment(M_4, U_4) → s_7
263. Segment(P_4, T_4) → t_7
264. Segment(T_4, W_4) → a_7
265. Segment(W_4, V_4) → b_7
266. Segment(Q_3, P_3) → c_7
267. Segment(A, F_1) → d_7
268. Midpoint(C_4, E_4) → A_5
269. Midpoint(E_4, D_4) → B_5
270. Midpoint(K_4, O_2) → C_5
271. Midpoint(I_4, L_3) → D_5
272. Midpoint(H_4, D_4) → E_5
273. Midpoint(J_4, B_4) → F_5
274. Midpoint(C_4, G_4) → G_5
275. Midpoint(G_4, H_4) → H_5
276. Midpoint(G_4, S_3) → I_5
277. Segment(L_4, A_5) → e_7
278. Segment(A_5, B_5) → f_8
279. Segment(B_5, C_5) → g_8
280. Segment(C_5, D_5) → h_8
281. Segment(D_5, E_5) → i_8
282. Segment(E_5, F_5) → j_8
283. Segment(F_5, G_5) → k_8
284. Segment(G_5, H_5) → l_8
285. Segment(H_5, I_5) → m_8
286. Midpoint(Q_4, Q_3) → J_5
287. Midpoint(Z_4, M_4) → K_5
288. Midpoint(Z_4, O_4) → L_5
289. Midpoint(C_3, V_2) → M_5
290. Midpoint(A_3, N_3) → N_5
291. Midpoint(Z_2, T_2) → O_5
292. Midpoint(C_3, P_2) → P_5
293. Midpoint(P_2, B_3) → Q_5
294. Midpoint(W_4, O_4) → R_5
295. Midpoint(N_4, R_4) → S_5
296. Segment(J_5, K_5) → n_8
297. Segment(K_5, L_5) → p_8
298. Segment(L_5, P_5) → q_8
299. Segment(Q_5, R_5) → r_8
300. Segment(R_5, S_5) → s_8
301. Midpoint(B_3, P_3) → T_5
302. Midpoint(R_4, P_3) → U_5
303. Midpoint(P_3, W_4) → V_5
304. Segment(T_5, V_5) → t_8
305. Segment(V_5, U_5) → a_8
306. Segment(P_5, M_5) → b_8
307. Segment(M_5, N_5) → c_8
308. Segment(N_5, O_5) → d_8
309. Midpoint(T_2, U_2) → W_5
310. Midpoint(S_2, A_3) → Z_5
311. Midpoint(V_2, U_2) → A_6
312. Segment(O_5, W_5) → e_8
313. Segment(W_5, Z_5) → f_9
314. Segment(Z_5, A_6) → g_9
315. Segment(A_6, Q_5) → h_9
316. Midpoint(P_3, F_4) → B_6
317. Midpoint(F_4, A_4) → C_6
318. Midpoint(I_3, F_4) → D_6
319. Midpoint(r_6) → E_6
320. Midpoint(A_4, C_4) → F_6
321. Midpoint(E_6, A_4) → G_6
322. Segment(B_6, D_6) → i_9
323. Segment(D_6, G_6) → j_9
324. Segment(G_6, C_6) → k_9
325. Midpoint(U_2, O_2) → H_6
326. Midpoint(Z_2, O_3) → I_6
327. Midpoint(Z_2, V) → J_6
328. Midpoint(O, A_2) → K_6
329. Midpoint(W_2, W_1) → L_6
330. Midpoint(Z_1, M) → M_6
331. Midpoint(L_1, W) → N_6
332. Midpoint(H_2, F) → O_6
333. Midpoint(U, Z_1) → P_6
334. Midpoint(U, A_2) → Q_6
335. Segment(T_5, H_6) → l_9
336. Segment(H_6, I_6) → m_9
337. Segment(I_6, J_6) → n_9
338. Segment(J_6, K_6) → p_9
339. Segment(K_6, L_6) → q_9
340. Segment(L_6, M_6) → r_9
341. Segment(M_6, N_6) → s_9
342. Segment(N_6, O_6) → t_9
343. Segment(O_6, P_6) → a_9
344. Segment(P_6, Q_6) → b_9
345. Segment(Q_6, J_2) → c_9