几何变换与多边形 by pfindlay

GeoGebra 命令及参数

1. Line(A, B) → a
2. OrthogonalLine(B, a) → b
3. OrthogonalLine(A, a) → c
4. Point(b) → C
5. OrthogonalLine(C, c) → d
6. Intersect(c, d) → D
7. Segment(D, C) → e
8. Segment(C, B) → f
9. Segment(B, A) → g
10. Segment(A, D) → h
11. Angle(A, B, C) → α
12. Angle(C, D, A) → β
13. Angle(D, A, B) → γ
14. Angle(B, C, D) → δ
15. Segment(D, E) → i
16. Segment(E, F) → j
17. Segment(F, G) → k
18. Segment(G, H) → l
19. Segment(H, I) → m
20. Segment(I, J) → n
21. Segment(J, K) → p
22. Segment(K, L) → q
23. Segment(L, M) → r
24. Segment(M, C) → s
25. Vector(C, B) → u
26. Translate(D, u) → D'
27. Translate(E, u) → E'
28. Segment(D', E') → i'
29. Translate(E, u) → E'_1
30. Translate(F, u) → F'
31. Segment(E'_1, F') → j'
32. Translate(F, u) → F'_1
33. Translate(G, u) → G'
34. Segment(F'_1, G') → k'
35. Translate(G, u) → G'_1
36. Translate(H, u) → H'
37. Segment(G'_1, H') → l'
38. Translate(H, u) → H'_1
39. Translate(I, u) → I'
40. Segment(H'_1, I') → m'
41. Translate(I, u) → I'_1
42. Translate(J, u) → J'
43. Segment(I'_1, J') → n'
44. Translate(J, u) → J'_1
45. Translate(K, u) → K'
46. Segment(J'_1, K') → p'
47. Translate(K, u) → K'_1
48. Translate(L, u) → L'
49. Segment(K'_1, L') → q'
50. Translate(L, u) → L'_1
51. Translate(M, u) → M'
52. Segment(L'_1, M') → r'
53. Translate(M, u) → M'_1
54. Translate(C, u) → C'
55. Segment(M'_1, C') → s'
56. Segment(D, N) → t
57. Segment(N, O) → a_1
58. Segment(O, P) → b_1
59. Segment(P, Q) → c_1
60. Segment(Q, R) → d_1
61. Segment(R, S) → e_1
62. Segment(S, T) → f_1
63. Segment(T, U) → g_1
64. Segment(U, V) → h_1
65. Segment(V, W) → i_1
66. Segment(W, Z) → j_1
67. Segment(Z, A) → k_1
68. Vector(A, B) → v
69. Translate(D, v) → D'_1
70. Translate(N, v) → N'
71. Segment(D'_1, N') → t'
72. Translate(N, v) → N'_1
73. Translate(O, v) → O'
74. Segment(N'_1, O') → l_1
75. Translate(O, v) → O'_1
76. Translate(P, v) → P'
77. Segment(O'_1, P') → m_1
78. Translate(P, v) → P'_1
79. Translate(Q, v) → Q'
80. Segment(P'_1, Q') → n_1
81. Translate(Q, v) → Q'_1
82. Translate(R, v) → R'
83. Segment(Q'_1, R') → p_1
84. Translate(R, v) → R'_1
85. Translate(S, v) → S'
86. Segment(R'_1, S') → q_1
87. Translate(S, v) → S'_1
88. Translate(T, v) → T'
89. Segment(S'_1, T') → r_1
90. Translate(T, v) → T'_1
91. Translate(U, v) → U'
92. Segment(T'_1, U') → s_1
93. Translate(U, v) → U'_1
94. Translate(V, v) → V'
95. Segment(U'_1, V') → t_1
96. Translate(V, v) → V'_1
97. Translate(W, v) → W'
98. Segment(V'_1, W') → a_2
99. Translate(W, v) → W'_1
100. Translate(Z, v) → Z'
101. Segment(W'_1, Z') → b_2
102. Translate(Z, v) → Z'_1
103. Translate(A, v) → A'
104. Segment(Z'_1, A') → c_2
105. Translate(D', v) → D''
106. Intersect(j_1, k_1) → A_1
107. Point(i_1) → B_1
108. Intersect(h_1, i_1) → C_1
109. Intersect(g_1, h_1) → D_1
110. Intersect(f_1, g_1) → E_1
111. Point(e_1) → F_1
112. Intersect(d_1, e_1) → G_1
113. Intersect(c_1, d_1) → H_1
114. Intersect(b_1, c_1) → I_1
115. Intersect(t, a_1) → J_1
116. Intersect(i, t) → K_1
117. Intersect(i, j) → L_1
118. Intersect(i', k_1) → M_1
119. Intersect(j_1, k_1) → N_1
120. Intersect(i_1, j_1) → O_1
121. Point(i_1) → P_1
122. Intersect(g_1, h_1) → Q_1
123. Intersect(f_1, g_1) → R_1
124. Intersect(d_1, e_1) → S_1
125. Intersect(c_1, d_1) → T_1
126. Intersect(b_1, c_1) → U_1
127. Intersect(t, a_1) → V_1
128. Intersect(i, t) → W_1
129. Intersect(i, j) → Z_1
130. Intersect(j, k) → A_2
131. Intersect(k, l) → B_2
132. Intersect(l, m) → C_2
133. Intersect(m, n) → D_2
134. Intersect(n, p) → E_2
135. Point(q) → F_2
136. Intersect(r, s) → G_2
137. Intersect(s, t') → H_2
138. Intersect(t', l_1) → I_2
139. Intersect(m_1, n_1) → J_2
140. Intersect(n_1, p_1) → K_2
141. Intersect(p_1, q_1) → L_2
142. Intersect(q_1, r_1) → M_2
143. Intersect(r_1, s_1) → N_2
144. Intersect(s_1, t_1) → O_2
145. Intersect(t_1, a_2) → P_2
146. Intersect(a_2, b_2) → Q_2
147. Intersect(b_2, c_2) → R_2
148. Intersect(s', c_2) → S_2
149. Intersect(r', s') → T_2
150. Point(q') → U_2
151. Intersect(n', p') → V_2
152. Intersect(m', n') → W_2
153. Intersect(l', m') → Z_2
154. Point(l') → A_3
155. Intersect(j', k') → B_3
156. Intersect(i', j') → C_3
157. Polygon(M_1, N_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, O_1, I_2, J_2, K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2, P_1, S_2, T_2, U_2, V_2, W_2, Z_2, A_3, B_3, C_3, Q_1, R_1, S_1, T_1, U_1, V_1) → poly1, m_2, v_1, w_1, z_1, a_3, b_3, c_3, d_2, e_2, f_2, g_2, n_2, h_2, i_2, j_2, k_2, l_2, m_3, n_3, o_2, p_3, q_3, o_1, r_3, s_3, t_3, u_2, v_2, w_2, z_2, a_4, b_4, c_4, p_2, q_2, r_2, s_2, t_2, u_1
158. Segment(R_1, D_3) → d_3
159. Segment(D_3, B_3) → e_3
160. Polygon(D_3, R_1, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, S_1, M_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2, T_1, W_2, Z_2, A_3, B_3, U_1, V_1, W_1, Z_1, A_2, B_2) → poly2, d_4, b_5, c_5, d_5, e_4, f_3, g_3, h_3, i_3, j_3, k_3, r_4, l_3, m_4, n_4, o_3, p_4, q_4, r_5, s_5, t_5, u_4, s_4, v_4, w_4, z_4, a_6, b_6, t_4, u_3, v_3, w_3, z_3, a_5
161. Segment(M_1, O_1) → f_4
162. Polygon(M_1, N_1, O_1) → poly3, o_4, m_5, n_5
163. Vector(A, B) → w
164. Translate(M_1, w) → F_3
165. Translate(N_1, w) → G_3
166. Translate(O_1, w) → H_3
167. Translate(P_1, w) → I_3
168. Translate(Q_1, w) → J_3
169. Translate(R_1, w) → K_3
170. Translate(S_1, w) → L_3
171. Translate(T_1, w) → M_3
172. Translate(U_1, w) → N_3
173. Translate(V_1, w) → O_3
174. Translate(W_1, w) → P_3
175. Translate(Z_1, w) → Q_3
176. Translate(A_2, w) → R_3
177. Translate(B_2, w) → S_3
178. Translate(C_2, w) → T_3
179. Translate(D_2, w) → U_3
180. Translate(E_2, w) → V_3
181. Translate(F_2, w) → W_3
182. Translate(G_2, w) → Z_3
183. Translate(H_2, w) → A_4
184. Translate(I_2, w) → B_4
185. Translate(J_2, w) → C_4
186. Translate(K_2, w) → D_4
187. Translate(L_2, w) → E_4
188. Translate(M_2, w) → F_4
189. Translate(N_2, w) → G_4
190. Translate(O_2, w) → H_4
191. Translate(P_2, w) → I_4
192. Translate(Q_2, w) → J_4
193. Translate(R_2, w) → K_4
194. Translate(S_2, w) → L_4
195. Translate(T_2, w) → M_4
196. Translate(U_2, w) → N_4
197. Translate(V_2, w) → O_4
198. Translate(W_2, w) → P_4
199. Translate(Z_2, w) → Q_4
200. Translate(A_3, w) → R_4
201. Translate(B_3, w) → S_4
202. Translate(C_3, w) → T_4
203. Polygon(F_3, G_3, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, H_3, B_4, C_4, D_4, E_4, F_4, G_4, H_4, I_4, J_4, K_4, I_3, L_4, M_4, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, J_3, K_3, L_3, M_3, N_3, O_3) → poly1', f_5, o_5, p_5, q_5, r_6, s_6, t_6, u_5, v_5, w_5, z_5, g_4, a_7, b_7, c_6, d_6, e_5, f_6, g_5, h_5, i_5, j_5, h_4, k_5, l_5, m_7, n_7, o_6, p_6, q_6, r_7, s_7, t_7, i_4, j_4, k_4, l_4, m_6, n_6
204. Translate(D_3, w) → U_4
205. Translate(R_1, w) → V_4
206. Translate(S_1, w) → W_4
207. Translate(T_1, w) → Z_4
208. Translate(U_1, w) → A_5
209. Translate(V_1, w) → B_5
210. Translate(W_1, w) → C_5
211. Translate(Z_1, w) → D_5
212. Translate(A_2, w) → E_5
213. Translate(B_2, w) → F_5
214. Translate(C_2, w) → G_5
215. Translate(D_2, w) → H_5
216. Translate(E_2, w) → I_5
217. Translate(F_2, w) → J_5
218. Translate(G_2, w) → K_5
219. Translate(H_2, w) → L_5
220. Translate(I_2, w) → M_5
221. Translate(J_2, w) → N_5
222. Translate(K_2, w) → O_5
223. Translate(L_2, w) → P_5
224. Translate(M_2, w) → Q_5
225. Translate(N_2, w) → R_5
226. Translate(O_2, w) → S_5
227. Translate(P_2, w) → T_5
228. Translate(Q_2, w) → U_5
229. Translate(R_2, w) → V_5
230. Translate(S_2, w) → W_5
231. Translate(T_2, w) → Z_5
232. Translate(U_2, w) → A_6
233. Translate(V_2, w) → B_6
234. Translate(W_2, w) → C_6
235. Translate(Z_2, w) → D_6
236. Translate(A_3, w) → E_6
237. Translate(B_3, w) → F_6
238. Polygon(U_4, V_4, G_5, H_5, I_5, J_5, K_5, L_5, M_5, N_5, O_5, P_5, W_4, Q_5, R_5, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6, Z_4, C_6, D_6, E_6, F_6, A_5, B_5, C_5, D_5, E_5, F_5) → poly2', u_6, f_7, g_6, h_6, i_6, j_6, k_6, l_6, m_8, n_8, o_7, v_6, p_7, q_7, r_8, s_8, t_8, u_7, v_7, w_7, z_7, a_9, w_6, b_9, c_8, d_8, e_7, f_8, z_6, a_8, b_8, c_7, d_7, e_6
239. Translate(M_1, w) → G_6
240. Translate(N_1, w) → H_6
241. Translate(O_1, w) → I_6
242. Polygon(G_6, H_6, I_6) → poly3', i_7, g_7, h_7
243. Translate(D, w) → D'_2
244. Translate(E, w) → E'_2
245. Segment(D'_2, E'_2) → i'_1
246. Translate(E, w) → E'_3
247. Translate(F, w) → F'_2
248. Segment(E'_3, F'_2) → j'_1
249. Translate(F, w) → F'_3
250. Translate(G, w) → G'_2
251. Segment(F'_3, G'_2) → k'_1
252. Translate(G, w) → G'_3
253. Translate(H, w) → H'_2
254. Segment(G'_3, H'_2) → l'_1
255. Translate(H, w) → H'_3
256. Translate(I, w) → I'_2
257. Segment(H'_3, I'_2) → m'_1
258. Translate(I, w) → I'_3
259. Translate(J, w) → J'_2
260. Segment(I'_3, J'_2) → n'_1
261. Translate(J, w) → J'_3
262. Translate(K, w) → K'_2
263. Segment(J'_3, K'_2) → p'_1
264. Translate(K, w) → K'_3
265. Translate(L, w) → L'_2
266. Segment(K'_3, L'_2) → q'_1
267. Translate(L, w) → L'_3
268. Translate(M, w) → M'_2
269. Segment(L'_3, M'_2) → r'_1
270. Translate(M, w) → M'_3
271. Translate(C, w) → C'_1
272. Segment(M'_3, C'_1) → s'_1
273. Translate(D', w) → D''_1
274. Translate(E', w) → E''
275. Segment(D''_1, E'') → i''
276. Translate(E'_1, w) → J_6
277. Translate(F', w) → F''
278. Segment(J_6, F'') → j''
279. Translate(F'_1, w) → K_6
280. Translate(G', w) → G''
281. Segment(K_6, G'') → k''
282. Translate(G'_1, w) → L_6
283. Translate(H', w) → H''
284. Segment(L_6, H'') → l''
285. Translate(H'_1, w) → M_6
286. Translate(I', w) → I''
287. Segment(M_6, I'') → m''
288. Translate(I'_1, w) → N_6
289. Translate(J', w) → J''
290. Segment(N_6, J'') → n''
291. Translate(J'_1, w) → O_6
292. Translate(K', w) → K''
293. Segment(O_6, K'') → p''
294. Translate(K'_1, w) → P_6
295. Translate(L', w) → L''
296. Segment(P_6, L'') → q''
297. Translate(L'_1, w) → Q_6
298. Translate(M', w) → M''
299. Segment(Q_6, M'') → r''
300. Translate(M'_1, w) → R_6
301. Translate(C', w) → C''
302. Segment(R_6, C'') → s''
303. Translate(D, w) → D'_3
304. Translate(N, w) → N'_2
305. Segment(D'_3, N'_2) → t'_1
306. Translate(N, w) → N'_3
307. Translate(O, w) → O'_2
308. Segment(N'_3, O'_2) → j_7
309. Translate(O, w) → O'_3
310. Translate(P, w) → P'_2
311. Segment(O'_3, P'_2) → k_7
312. Translate(P, w) → P'_3
313. Translate(Q, w) → Q'_2
314. Segment(P'_3, Q'_2) → l_7
315. Translate(Q, w) → Q'_3
316. Translate(R, w) → R'_2
317. Segment(Q'_3, R'_2) → e_8
318. Translate(R, w) → R'_3
319. Translate(S, w) → S'_2
320. Segment(R'_3, S'_2) → g_8
321. Translate(S, w) → S'_3
322. Translate(T, w) → T'_2
323. Segment(S'_3, T'_2) → h_8
324. Translate(T, w) → T'_3
325. Translate(U, w) → U'_2
326. Segment(T'_3, U'_2) → i_8
327. Translate(U, w) → U'_3
328. Translate(V, w) → V'_2
329. Segment(U'_3, V'_2) → j_8
330. Translate(V, w) → V'_3
331. Translate(W, w) → W'_2
332. Segment(V'_3, W'_2) → k_8
333. Translate(W, w) → W'_3
334. Translate(Z, w) → Z'_2
335. Segment(W'_3, Z'_2) → l_8
336. Translate(Z, w) → Z'_3
337. Translate(A, w) → A'_1
338. Segment(Z'_3, A'_1) → p_8
339. Translate(D'_1, w) → S_6
340. Translate(N', w) → N''
341. Segment(S_6, N'') → t''
342. Translate(N'_1, w) → T_6
343. Translate(O', w) → O''
344. Segment(T_6, O'') → q_8
345. Translate(O'_1, w) → U_6
346. Translate(P', w) → P''
347. Segment(U_6, P'') → c_9
348. Translate(P'_1, w) → V_6
349. Translate(Q', w) → Q''
350. Segment(V_6, Q'') → d_9
351. Translate(Q'_1, w) → W_6
352. Translate(R', w) → R''
353. Segment(W_6, R'') → e_9
354. Translate(R'_1, w) → Z_6
355. Translate(S', w) → S''
356. Segment(Z_6, S'') → f_9
357. Translate(S'_1, w) → A_7
358. Translate(T', w) → T''
359. Segment(A_7, T'') → g_9
360. Translate(T'_1, w) → B_7
361. Translate(U', w) → U''
362. Segment(B_7, U'') → h_9
363. Translate(U'_1, w) → C_7
364. Translate(V', w) → V''
365. Segment(C_7, V'') → i_9
366. Translate(V'_1, w) → D_7
367. Translate(W', w) → W''
368. Segment(D_7, W'') → j_9
369. Translate(W'_1, w) → E_7
370. Translate(Z', w) → Z''
371. Segment(E_7, Z'') → k_9
372. Translate(Z'_1, w) → F_7
373. Translate(A', w) → A''
374. Segment(F_7, A'') → l_9
375. Translate(R_1, w) → G_7
376. Translate(D_3, w) → H_7
377. Segment(G_7, H_7) → m_9
378. Translate(D_3, w) → I_7
379. Translate(B_3, w) → J_7
380. Segment(I_7, J_7) → n_9
381. Translate(M_1, w) → K_7
382. Translate(O_1, w) → L_7
383. Segment(K_7, L_7) → p_9
384. Translate(E_3, w) → M_7