积极 AI Logo 积极 AI

正方形与整数点

正方形与整数点
几何画板及绘图内容加载中，请稍等……
2023-03-22 22:39
多边形解析几何积分
所属专题 geometriadinamica.es
该范例展示了正方形与整数点的关系。核心数学概念包括正方形的性质、整数点的定义以及线性方程的应用。通过使用GeoGebra命令如Line、Vector、Translate等，可以构造正方形并探索其与整数点的联系。适合初中及以上学生学习几何与代数知识。

GeoGebra 命令及参数

  1. Line(A, B) → b
  2. Line(A, C) → c
  3. Vector(A, B) → u
  4. Vector(A, C) → w
  5. Translate(E, u) → E'
  6. Translate(G_1, u) → H_1
  7. Translate(F, u) → F'
  8. Translate(D_1, w) → U_1
  9. Translate(E_1, w) → V_1
  10. Translate(F_1, w) → W_1
  11. Translate(B, w) → B'
  12. Polygon(C, G_1, E', H_1, B', W_1, V_1, U_1, E, F, A, D_1, E_1, F_1, B, F') → poly1, c_1, f', e', h_1, b', w_1, v_1, u_1, g_1, e, f, a_1, d_1, e_1, f_1, b_1
  13. Translate(C, w) → C'
  14. Translate(G_1, w) → Z_1
  15. Translate(E, w) → E'_1
  16. Translate(F, w) → F'_1
  17. Translate(A, w) → A'
  18. Translate(D_1, w) → A_2
  19. Translate(E_1, w) → B_2
  20. Translate(F_1, w) → C_2
  21. Translate(B, w) → B'_1
  22. Translate(F', w) → F''
  23. Translate(E', w) → E''
  24. Translate(H_1, w) → D_2
  25. Translate(B', w) → B''
  26. Translate(W_1, w) → E_2
  27. Translate(V_1, w) → F_2
  28. Translate(U_1, w) → G_2
  29. Translate(C', w) → C''
  30. Translate(Z_1, w) → H_2
  31. Translate(E'_1, w) → I_2
  32. Translate(F'_1, w) → J_2
  33. Translate(A', w) → A''
  34. Translate(A_2, w) → K_2
  35. Translate(B_2, w) → L_2
  36. Translate(C_2, w) → M_2
  37. Translate(B'_1, w) → N_2
  38. Translate(F'', w) → F'''
  39. Translate(E'', w) → E'''
  40. Translate(D_2, w) → O_2
  41. Translate(B'', w) → B'''
  42. Translate(E_2, w) → P_2
  43. Translate(F_2, w) → Q_2
  44. Translate(G_2, w) → R_2
  45. Translate(C, u) → C'_1
  46. Translate(G_1, u) → S_2
  47. Translate(E, u) → E'_2
  48. Translate(F, u) → F'_2
  49. Translate(A, u) → A'_1
  50. Translate(D_1, u) → T_2
  51. Translate(E_1, u) → U_2
  52. Translate(F_1, u) → V_2
  53. Translate(B, u) → B'_2
  54. Translate(F', u) → F''_1
  55. Translate(E', u) → E''_1
  56. Translate(H_1, u) → W_2
  57. Translate(B', u) → B''_1
  58. Translate(W_1, u) → Z_2
  59. Translate(V_1, u) → A_3
  60. Translate(U_1, u) → B_3
  61. Translate(C', u) → C''_1
  62. Translate(Z_1, u) → C_3
  63. Translate(E'_1, u) → D_3
  64. Translate(F'_1, u) → E_3
  65. Translate(A', u) → A''_1
  66. Translate(A_2, u) → F_3
  67. Translate(B_2, u) → G_3
  68. Translate(C_2, u) → H_3
  69. Translate(B'_1, u) → I_3
  70. Translate(F'', u) → F'''_1
  71. Translate(E'', u) → E'''_1
  72. Translate(D_2, u) → J_3
  73. Translate(B'', u) → B'''_1
  74. Translate(E_2, u) → K_3
  75. Translate(F_2, u) → L_3
  76. Translate(G_2, u) → M_3
  77. Translate(C'', u) → C'''
  78. Translate(H_2, u) → N_3
  79. Translate(I_2, u) → O_3
  80. Translate(J_2, u) → P_3
  81. Translate(A'', u) → A'''
  82. Translate(K_2, u) → Q_3
  83. Translate(L_2, u) → R_3
  84. Translate(M_2, u) → S_3
  85. Translate(N_2, u) → T_3
  86. Translate(F''', u) → U_3
  87. Translate(E''', u) → V_3
  88. Translate(O_2, u) → W_3
  89. Translate(B''', u) → Z_3
  90. Translate(P_2, u) → A_4
  91. Translate(Q_2, u) → B_4
  92. Translate(R_2, u) → C_4
  93. Translate(C'_1, u) → D_4
  94. Translate(S_2, u) → E_4
  95. Translate(E'_2, u) → F_4
  96. Translate(F'_2, u) → G_4
  97. Translate(A'_1, u) → H_4
  98. Translate(T_2, u) → I_4
  99. Translate(U_2, u) → J_4
  100. Translate(V_2, u) → K_4
  101. Translate(B'_2, u) → L_4
  102. Translate(F''_1, u) → M_4
  103. Translate(E''_1, u) → N_4
  104. Translate(W_2, u) → O_4
  105. Translate(B''_1, u) → P_4
  106. Translate(Z_2, u) → Q_4
  107. Translate(A_3, u) → R_4
  108. Translate(B_3, u) → S_4
  109. Translate(C''_1, u) → T_4
  110. Translate(C_3, u) → U_4
  111. Translate(D_3, u) → V_4
  112. Translate(E_3, u) → W_4
  113. Translate(A''_1, u) → Z_4
  114. Translate(F_3, u) → A_5
  115. Translate(G_3, u) → B_5
  116. Translate(H_3, u) → C_5
  117. Translate(I_3, u) → D_5
  118. Translate(F'''_1, u) → E_5
  119. Translate(E'''_1, u) → F_5
  120. Translate(J_3, u) → G_5
  121. Translate(B'''_1, u) → H_5
  122. Translate(K_3, u) → I_5
  123. Translate(L_3, u) → J_5
  124. Translate(M_3, u) → K_5
  125. Translate(T_4, w) → L_5
  126. Translate(U_4, w) → M_5
  127. Translate(V_4, w) → N_5
  128. Translate(W_4, w) → O_5
  129. Translate(Z_4, w) → P_5
  130. Translate(A_5, w) → Q_5
  131. Translate(B_5, w) → R_5
  132. Translate(C_5, w) → S_5
  133. Translate(D_5, w) → T_5
  134. Translate(E_5, w) → U_5
  135. Translate(F_5, w) → V_5
  136. Translate(G_5, w) → W_5
  137. Translate(H_5, w) → Z_5
  138. Translate(I_5, w) → A_6
  139. Translate(J_5, w) → B_6
  140. Translate(K_5, w) → C_6
  141. Translate(C'', w) → C'''_1
  142. Translate(H_2, w) → D_6
  143. Translate(I_2, w) → E_6
  144. Translate(J_2, w) → F_6
  145. Translate(A'', w) → A'''_1
  146. Translate(K_2, w) → G_6
  147. Translate(L_2, w) → H_6
  148. Translate(M_2, w) → I_6
  149. Translate(N_2, w) → J_6
  150. Translate(F''', w) → K_6
  151. Translate(E''', w) → L_6
  152. Translate(O_2, w) → M_6
  153. Translate(B''', w) → N_6
  154. Translate(P_2, w) → O_6
  155. Translate(Q_2, w) → P_6
  156. Translate(R_2, w) → Q_6
  157. Translate(C''', w) → R_6
  158. Translate(N_3, w) → S_6
  159. Translate(O_3, w) → T_6
  160. Translate(P_3, w) → U_6
  161. Translate(A''', w) → V_6
  162. Translate(Q_3, w) → W_6
  163. Translate(R_3, w) → Z_6
  164. Translate(S_3, w) → A_7
  165. Translate(T_3, w) → B_7
  166. Translate(U_3, w) → C_7
  167. Translate(V_3, w) → D_7
  168. Translate(W_3, w) → E_7
  169. Translate(Z_3, w) → F_7
  170. Translate(A_4, w) → G_7
  171. Translate(B_4, w) → H_7
  172. Translate(C_4, w) → I_7
  173. Translate(L_5, w) → J_7
  174. Translate(M_5, w) → K_7
  175. Translate(N_5, w) → L_7
  176. Translate(O_5, w) → M_7
  177. Translate(P_5, w) → N_7
  178. Translate(Q_5, w) → O_7
  179. Translate(R_5, w) → P_7
  180. Translate(S_5, w) → Q_7
  181. Translate(T_5, w) → R_7
  182. Translate(U_5, w) → S_7
  183. Translate(V_5, w) → T_7
  184. Translate(W_5, w) → U_7
  185. Translate(Z_5, w) → V_7
  186. Translate(A_6, w) → W_7
  187. Translate(B_6, w) → Z_7
  188. Translate(C_6, w) → A_8
  189. Vector(A, B_8) → z
  190. Translate(C, z) → C'_2
  191. Translate(G_1, z) → C_8
  192. Translate(E, z) → E'_3
  193. Translate(F, z) → F'_3
  194. Translate(A, z) → A'_2
  195. Translate(D_1, z) → D_8
  196. Translate(E_1, z) → E_8
  197. Translate(F_1, z) → F_8
  198. Translate(B, z) → B'_3
  199. Translate(F', z) → F''_2
  200. Translate(E', z) → E''_2
  201. Translate(H_1, z) → G_8
  202. Translate(B', z) → B''_2
  203. Translate(W_1, z) → H_8
  204. Translate(V_1, z) → I_8
  205. Translate(U_1, z) → J_8
  206. Polygon(C'_2, C_8, E''_2, G_8, B''_2, H_8, I_8, J_8, E'_3, F'_3, A'_2, D_8, E_8, F_8, B'_3, F''_2) → poly1', c'_2, f''_2, e''_2, g_8, b''_2, h_8, i_8, j_8, c_8, e'_3, f'_3, a'_2, d_8, e_8, f_8, b'_3
  207. Translate(C'_2, w) → K_8
  208. Translate(C_8, w) → L_8
  209. Translate(E'_3, w) → M_8
  210. Translate(F'_3, w) → N_8
  211. Translate(A'_2, w) → O_8
  212. Translate(D_8, w) → P_8
  213. Translate(E_8, w) → Q_8
  214. Translate(F_8, w) → R_8
  215. Translate(B'_3, w) → S_8
  216. Translate(F''_2, w) → T_8
  217. Translate(E''_2, w) → U_8
  218. Translate(G_8, w) → V_8
  219. Translate(B''_2, w) → W_8
  220. Translate(H_8, w) → Z_8
  221. Translate(I_8, w) → A_9
  222. Translate(J_8, w) → B_9
  223. Polygon(K_8, L_8, U_8, V_8, W_8, Z_8, A_9, B_9, M_8, N_8, O_8, P_8, Q_8, R_8, S_8, T_8) → poly1'', k_8, t_8, u_8, v_8, w_8, z_8, a_9, b_9, l_8, m_8, n_8, o_8, p_8, q_8, r_8, s_8
  224. Translate(C'_2, u) → C_9
  225. Translate(C_8, u) → D_9
  226. Translate(E'_3, u) → E_9
  227. Translate(F'_3, u) → F_9
  228. Translate(A'_2, u) → G_9
  229. Translate(D_8, u) → H_9
  230. Translate(E_8, u) → I_9
  231. Translate(F_8, u) → J_9
  232. Translate(B'_3, u) → K_9
  233. Translate(F''_2, u) → L_9
  234. Translate(E''_2, u) → M_9
  235. Translate(G_8, u) → N_9
  236. Translate(B''_2, u) → O_9
  237. Translate(H_8, u) → P_9
  238. Translate(I_8, u) → Q_9
  239. Translate(J_8, u) → R_9
  240. Polygon(C_9, D_9, M_9, N_9, O_9, P_9, Q_9, R_9, E_9, F_9, G_9, H_9, I_9, J_9, K_9, L_9) → poly1''_1, c_9, l_9, m_9, n_9, o_9, p_9, q_9, r_9, d_9, e_9, f_9, g_9, h_9, i_9, j_9, k_9
  241. Translate(K_8, w) → S_9
  242. Translate(L_8, w) → T_9
  243. Translate(M_8, w) → U_9
  244. Translate(N_8, w) → V_9
  245. Translate(O_8, w) → W_9
  246. Translate(P_8, w) → Z_9
  247. Translate(Q_8, w) → A_{10}
  248. Translate(R_8, w) → B_{10}
  249. Translate(S_8, w) → C_{10}
  250. Translate(T_8, w) → D_{10}
  251. Translate(U_8, w) → E_{10}
  252. Translate(V_8, w) → F_{10}
  253. Translate(W_8, w) → G_{10}
  254. Translate(Z_8, w) → H_{10}
  255. Translate(A_9, w) → I_{10}
  256. Translate(B_9, w) → J_{10}
  257. Polygon(S_9, T_9, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, U_9, V_9, W_9, Z_9, A_{10}, B_{10}, C_{10}, D_{10}) → poly1''', s_9, d_{10}, e_{10}, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}, t_9, u_9, v_9, w_9, z_9, a_{10}, b_{10}, c_{10}
  258. Translate(C_9, w) → K_{10}
  259. Translate(D_9, w) → L_{10}
  260. Translate(E_9, w) → M_{10}
  261. Translate(F_9, w) → N_{10}
  262. Translate(G_9, w) → O_{10}
  263. Translate(H_9, w) → P_{10}
  264. Translate(I_9, w) → Q_{10}
  265. Translate(J_9, w) → R_{10}
  266. Translate(K_9, w) → S_{10}
  267. Translate(L_9, w) → T_{10}
  268. Translate(M_9, w) → U_{10}
  269. Translate(N_9, w) → V_{10}
  270. Translate(O_9, w) → W_{10}
  271. Translate(P_9, w) → Z_{10}
  272. Translate(Q_9, w) → A_{11}
  273. Translate(R_9, w) → B_{11}
  274. Polygon(K_{10}, L_{10}, U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}) → poly2, k_{10}, t_{10}, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}, b_{11}, l_{10}, m_{10}, n_{10}, o_{10}, p_{10}, q_{10}, r_{10}, s_{10}
  275. Translate(K_{10}, w) → C_{11}
  276. Translate(L_{10}, w) → D_{11}
  277. Translate(M_{10}, w) → E_{11}
  278. Translate(N_{10}, w) → F_{11}
  279. Translate(O_{10}, w) → G_{11}
  280. Translate(P_{10}, w) → H_{11}
  281. Translate(Q_{10}, w) → I_{11}
  282. Translate(R_{10}, w) → J_{11}
  283. Translate(S_{10}, w) → K_{11}
  284. Translate(T_{10}, w) → L_{11}
  285. Translate(U_{10}, w) → M_{11}
  286. Translate(V_{10}, w) → N_{11}
  287. Translate(W_{10}, w) → O_{11}
  288. Translate(Z_{10}, w) → P_{11}
  289. Translate(A_{11}, w) → Q_{11}
  290. Translate(B_{11}, w) → R_{11}
  291. Polygon(C_{11}, D_{11}, M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, E_{11}, F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}) → poly2', c_{11}, l_{11}, m_{11}, n_{11}, o_{11}, p_{11}, q_{11}, r_{11}, d_{11}, e_{11}, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}
  292. Translate(S_9, w) → S_{11}
  293. Translate(T_9, w) → T_{11}
  294. Translate(U_9, w) → U_{11}
  295. Translate(V_9, w) → V_{11}
  296. Translate(W_9, w) → W_{11}
  297. Translate(Z_9, w) → Z_{11}
  298. Translate(A_{10}, w) → A_{12}
  299. Translate(B_{10}, w) → B_{12}
  300. Translate(C_{10}, w) → C_{12}
  301. Translate(D_{10}, w) → D_{12}
  302. Translate(E_{10}, w) → E_{12}
  303. Translate(F_{10}, w) → F_{12}
  304. Translate(G_{10}, w) → G_{12}
  305. Translate(H_{10}, w) → H_{12}
  306. Translate(I_{10}, w) → I_{12}
  307. Translate(J_{10}, w) → J_{12}
  308. Polygon(S_{11}, T_{11}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}, J_{12}, U_{11}, V_{11}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, D_{12}) → poly3, s_{11}, d_{12}, e_{12}, f_{12}, g_{12}, h_{12}, i_{12}, j_{12}, t_{11}, u_{11}, v_{11}, w_{11}, z_{11}, a_{12}, b_{12}, c_{12}
  309. Translate(C_{11}, w) → K_{12}
  310. Translate(D_{11}, w) → L_{12}
  311. Translate(E_{11}, w) → M_{12}
  312. Translate(F_{11}, w) → N_{12}
  313. Translate(G_{11}, w) → O_{12}
  314. Translate(H_{11}, w) → P_{12}
  315. Translate(I_{11}, w) → Q_{12}
  316. Translate(J_{11}, w) → R_{12}
  317. Translate(K_{11}, w) → S_{12}
  318. Translate(L_{11}, w) → T_{12}
  319. Translate(M_{11}, w) → U_{12}
  320. Translate(N_{11}, w) → V_{12}
  321. Translate(O_{11}, w) → W_{12}
  322. Translate(P_{11}, w) → Z_{12}
  323. Translate(Q_{11}, w) → A_{13}
  324. Translate(R_{11}, w) → B_{13}
  325. Polygon(K_{12}, L_{12}, U_{12}, V_{12}, W_{12}, Z_{12}, A_{13}, B_{13}, M_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}) → poly2'', k_{12}, t_{12}, u_{12}, v_{12}, w_{12}, z_{12}, a_{13}, b_{13}, l_{12}, m_{12}, n_{12}, o_{12}, p_{12}, q_{12}, r_{12}, s_{12}
  326. Translate(K_{12}, u) → C_{13}
  327. Translate(L_{12}, u) → D_{13}
  328. Translate(M_{12}, u) → E_{13}
  329. Translate(N_{12}, u) → F_{13}
  330. Translate(O_{12}, u) → G_{13}
  331. Translate(P_{12}, u) → H_{13}
  332. Translate(Q_{12}, u) → I_{13}
  333. Translate(R_{12}, u) → J_{13}
  334. Translate(S_{12}, u) → K_{13}
  335. Translate(T_{12}, u) → L_{13}
  336. Translate(U_{12}, u) → M_{13}
  337. Translate(V_{12}, u) → N_{13}
  338. Translate(W_{12}, u) → O_{13}
  339. Translate(Z_{12}, u) → P_{13}
  340. Translate(A_{13}, u) → Q_{13}
  341. Translate(B_{13}, u) → R_{13}
  342. Polygon(C_{13}, D_{13}, M_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}, K_{13}, L_{13}) → poly2''', c_{13}, l_{13}, m_{13}, n_{13}, o_{13}, p_{13}, q_{13}, r_{13}, d_{13}, e_{13}, f_{13}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}
  343. Translate(C_{11}, u) → S_{13}
  344. Translate(D_{11}, u) → T_{13}
  345. Translate(E_{11}, u) → U_{13}
  346. Translate(F_{11}, u) → V_{13}
  347. Translate(G_{11}, u) → W_{13}
  348. Translate(H_{11}, u) → Z_{13}
  349. Translate(I_{11}, u) → A_{14}
  350. Translate(J_{11}, u) → B_{14}
  351. Translate(K_{11}, u) → C_{14}
  352. Translate(L_{11}, u) → D_{14}
  353. Translate(M_{11}, u) → E_{14}
  354. Translate(N_{11}, u) → F_{14}
  355. Translate(O_{11}, u) → G_{14}
  356. Translate(P_{11}, u) → H_{14}
  357. Translate(Q_{11}, u) → I_{14}
  358. Translate(R_{11}, u) → J_{14}
  359. Polygon(S_{13}, T_{13}, E_{14}, F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, U_{13}, V_{13}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}) → poly2''_1, s_{13}, d_{14}, e_{14}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, t_{13}, u_{13}, v_{13}, w_{13}, z_{13}, a_{14}, b_{14}, c_{14}
  360. Translate(K_{10}, u) → K_{14}
  361. Translate(L_{10}, u) → L_{14}
  362. Translate(M_{10}, u) → M_{14}
  363. Translate(N_{10}, u) → N_{14}
  364. Translate(O_{10}, u) → O_{14}
  365. Translate(P_{10}, u) → P_{14}
  366. Translate(Q_{10}, u) → Q_{14}
  367. Translate(R_{10}, u) → R_{14}
  368. Translate(S_{10}, u) → S_{14}
  369. Translate(T_{10}, u) → T_{14}
  370. Translate(U_{10}, u) → U_{14}
  371. Translate(V_{10}, u) → V_{14}
  372. Translate(W_{10}, u) → W_{14}
  373. Translate(Z_{10}, u) → Z_{14}
  374. Translate(A_{11}, u) → A_{15}
  375. Translate(B_{11}, u) → B_{15}
  376. Polygon(K_{14}, L_{14}, U_{14}, V_{14}, W_{14}, Z_{14}, A_{15}, B_{15}, M_{14}, N_{14}, O_{14}, P_{14}, Q_{14}, R_{14}, S_{14}, T_{14}) → poly2'_1, k_{14}, t_{14}, u_{14}, v_{14}, w_{14}, z_{14}, a_{15}, b_{15}, l_{14}, m_{14}, n_{14}, o_{14}, p_{14}, q_{14}, r_{14}, s_{14}
  377. Translate(C_9, u) → C_{15}
  378. Translate(D_9, u) → D_{15}
  379. Translate(E_9, u) → E_{15}
  380. Translate(F_9, u) → F_{15}
  381. Translate(G_9, u) → G_{15}
  382. Translate(H_9, u) → H_{15}
  383. Translate(I_9, u) → I_{15}
  384. Translate(J_9, u) → J_{15}
  385. Translate(K_9, u) → K_{15}
  386. Translate(L_9, u) → L_{15}
  387. Translate(M_9, u) → M_{15}
  388. Translate(N_9, u) → N_{15}
  389. Translate(O_9, u) → O_{15}
  390. Translate(P_9, u) → P_{15}
  391. Translate(Q_9, u) → Q_{15}
  392. Translate(R_9, u) → R_{15}
  393. Polygon(C_{15}, D_{15}, M_{15}, N_{15}, O_{15}, P_{15}, Q_{15}, R_{15}, E_{15}, F_{15}, G_{15}, H_{15}, I_{15}, J_{15}, K_{15}, L_{15}) → poly4, c_{15}, l_{15}, m_{15}, n_{15}, o_{15}, p_{15}, q_{15}, r_{15}, d_{15}, e_{15}, f_{15}, g_{15}, h_{15}, i_{15}, j_{15}, k_{15}
  394. Translate(C_{15}, u) → S_{15}
  395. Translate(D_{15}, u) → T_{15}
  396. Translate(E_{15}, u) → U_{15}
  397. Translate(F_{15}, u) → V_{15}
  398. Translate(G_{15}, u) → W_{15}
  399. Translate(H_{15}, u) → Z_{15}
  400. Translate(I_{15}, u) → A_{16}
  401. Translate(J_{15}, u) → B_{16}
  402. Translate(K_{15}, u) → C_{16}
  403. Translate(L_{15}, u) → D_{16}
  404. Translate(M_{15}, u) → E_{16}
  405. Translate(N_{15}, u) → F_{16}
  406. Translate(O_{15}, u) → G_{16}
  407. Translate(P_{15}, u) → H_{16}
  408. Translate(Q_{15}, u) → I_{16}
  409. Translate(R_{15}, u) → J_{16}
  410. Polygon(S_{15}, T_{15}, E_{16}, F_{16}, G_{16}, H_{16}, I_{16}, J_{16}, U_{15}, V_{15}, W_{15}, Z_{15}, A_{16}, B_{16}, C_{16}, D_{16}) → poly4', s_{15}, d_{16}, e_{16}, f_{16}, g_{16}, h_{16}, i_{16}, j_{16}, t_{15}, u_{15}, v_{15}, w_{15}, z_{15}, a_{16}, b_{16}, c_{16}
  411. Translate(K_{14}, u) → K_{16}
  412. Translate(L_{14}, u) → L_{16}
  413. Translate(M_{14}, u) → M_{16}
  414. Translate(N_{14}, u) → N_{16}
  415. Translate(O_{14}, u) → O_{16}
  416. Translate(P_{14}, u) → P_{16}
  417. Translate(Q_{14}, u) → Q_{16}
  418. Translate(R_{14}, u) → R_{16}
  419. Translate(S_{14}, u) → S_{16}
  420. Translate(T_{14}, u) → T_{16}
  421. Translate(U_{14}, u) → U_{16}
  422. Translate(V_{14}, u) → V_{16}
  423. Translate(W_{14}, u) → W_{16}
  424. Translate(Z_{14}, u) → Z_{16}
  425. Translate(A_{15}, u) → A_{17}
  426. Translate(B_{15}, u) → B_{17}
  427. Polygon(K_{16}, L_{16}, U_{16}, V_{16}, W_{16}, Z_{16}, A_{17}, B_{17}, M_{16}, N_{16}, O_{16}, P_{16}, Q_{16}, R_{16}, S_{16}, T_{16}) → poly5, k_{16}, t_{16}, u_{16}, v_{16}, w_{16}, z_{16}, a_{17}, b_{17}, l_{16}, m_{16}, n_{16}, o_{16}, p_{16}, q_{16}, r_{16}, s_{16}
  428. Translate(S_{13}, u) → C_{17}
  429. Translate(T_{13}, u) → D_{17}
  430. Translate(U_{13}, u) → E_{17}
  431. Translate(V_{13}, u) → F_{17}
  432. Translate(W_{13}, u) → G_{17}
  433. Translate(Z_{13}, u) → H_{17}
  434. Translate(A_{14}, u) → I_{17}
  435. Translate(B_{14}, u) → J_{17}
  436. Translate(C_{14}, u) → K_{17}
  437. Translate(D_{14}, u) → L_{17}
  438. Translate(E_{14}, u) → M_{17}
  439. Translate(F_{14}, u) → N_{17}
  440. Translate(G_{14}, u) → O_{17}
  441. Translate(H_{14}, u) → P_{17}
  442. Translate(I_{14}, u) → Q_{17}
  443. Translate(J_{14}, u) → R_{17}
  444. Polygon(C_{17}, D_{17}, M_{17}, N_{17}, O_{17}, P_{17}, Q_{17}, R_{17}, E_{17}, F_{17}, G_{17}, H_{17}, I_{17}, J_{17}, K_{17}, L_{17}) → poly6, c_{17}, l_{17}, m_{17}, n_{17}, o_{17}, p_{17}, q_{17}, r_{17}, d_{17}, e_{17}, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}, k_{17}
  445. Translate(C_{13}, u) → S_{17}
  446. Translate(D_{13}, u) → T_{17}
  447. Translate(E_{13}, u) → U_{17}
  448. Translate(F_{13}, u) → V_{17}
  449. Translate(G_{13}, u) → W_{17}
  450. Translate(H_{13}, u) → Z_{17}
  451. Translate(I_{13}, u) → A_{18}
  452. Translate(J_{13}, u) → B_{18}
  453. Translate(K_{13}, u) → C_{18}
  454. Translate(L_{13}, u) → D_{18}
  455. Translate(M_{13}, u) → E_{18}
  456. Translate(N_{13}, u) → F_{18}
  457. Translate(O_{13}, u) → G_{18}
  458. Translate(P_{13}, u) → H_{18}
  459. Translate(Q_{13}, u) → I_{18}
  460. Translate(R_{13}, u) → J_{18}
  461. Polygon(S_{17}, T_{17}, E_{18}, F_{18}, G_{18}, H_{18}, I_{18}, J_{18}, U_{17}, V_{17}, W_{17}, Z_{17}, A_{18}, B_{18}, C_{18}, D_{18}) → poly7, s_{17}, d_{18}, e_{18}, f_{18}, g_{18}, h_{18}, i_{18}, j_{18}, t_{17}, u_{17}, v_{17}, w_{17}, z_{17}, a_{18}, b_{18}, c_{18}
  462. Translate(S_{11}, w) → K_{18}
  463. Translate(T_{11}, w) → L_{18}
  464. Translate(U_{11}, w) → M_{18}
  465. Translate(V_{11}, w) → N_{18}
  466. Translate(W_{11}, w) → O_{18}
  467. Translate(Z_{11}, w) → P_{18}
  468. Translate(A_{12}, w) → Q_{18}
  469. Translate(B_{12}, w) → R_{18}
  470. Translate(C_{12}, w) → S_{18}
  471. Translate(D_{12}, w) → T_{18}
  472. Translate(E_{12}, w) → U_{18}
  473. Translate(F_{12}, w) → V_{18}
  474. Translate(G_{12}, w) → W_{18}
  475. Translate(H_{12}, w) → Z_{18}
  476. Translate(I_{12}, w) → A_{19}
  477. Translate(J_{12}, w) → B_{19}
  478. Polygon(K_{18}, L_{18}, U_{18}, V_{18}, W_{18}, Z_{18}, A_{19}, B_{19}, M_{18}, N_{18}, O_{18}, P_{18}, Q_{18}, R_{18}, S_{18}, T_{18}) → poly3', k_{18}, t_{18}, u_{18}, v_{18}, w_{18}, z_{18}, a_{19}, b_{19}, l_{18}, m_{18}, n_{18}, o_{18}, p_{18}, q_{18}, r_{18}, s_{18}
  479. Translate(K_{18}, u) → C_{19}
  480. Translate(L_{18}, u) → D_{19}
  481. Translate(M_{18}, u) → E_{19}
  482. Translate(N_{18}, u) → F_{19}
  483. Translate(O_{18}, u) → G_{19}
  484. Translate(P_{18}, u) → H_{19}
  485. Translate(Q_{18}, u) → I_{19}
  486. Translate(R_{18}, u) → J_{19}
  487. Translate(S_{18}, u) → K_{19}
  488. Translate(T_{18}, u) → L_{19}
  489. Translate(U_{18}, u) → M_{19}
  490. Translate(V_{18}, u) → N_{19}
  491. Translate(W_{18}, u) → O_{19}
  492. Translate(Z_{18}, u) → P_{19}
  493. Translate(A_{19}, u) → Q_{19}
  494. Translate(B_{19}, u) → R_{19}
  495. Polygon(C_{19}, D_{19}, M_{19}, N_{19}, O_{19}, P_{19}, Q_{19}, R_{19}, E_{19}, F_{19}, G_{19}, H_{19}, I_{19}, J_{19}, K_{19}, L_{19}) → poly3'', c_{19}, l_{19}, m_{19}, n_{19}, o_{19}, p_{19}, q_{19}, r_{19}, d_{19}, e_{19}, f_{19}, g_{19}, h_{19}, i_{19}, j_{19}, k_{19}
  496. Translate(C_{19}, u) → S_{19}
  497. Translate(D_{19}, u) → T_{19}
  498. Translate(E_{19}, u) → U_{19}
  499. Translate(F_{19}, u) → V_{19}
  500. Translate(G_{19}, u) → W_{19}
  501. Translate(H_{19}, u) → Z_{19}
  502. Translate(I_{19}, u) → A_{20}
  503. Translate(J_{19}, u) → B_{20}
  504. Translate(K_{19}, u) → C_{20}
  505. Translate(L_{19}, u) → D_{20}
  506. Translate(M_{19}, u) → E_{20}
  507. Translate(N_{19}, u) → F_{20}
  508. Translate(O_{19}, u) → G_{20}
  509. Translate(P_{19}, u) → H_{20}
  510. Translate(Q_{19}, u) → I_{20}
  511. Translate(R_{19}, u) → J_{20}
  512. Polygon(S_{19}, T_{19}, E_{20}, F_{20}, G_{20}, H_{20}, I_{20}, J_{20}, U_{19}, V_{19}, W_{19}, Z_{19}, A_{20}, B_{20}, C_{20}, D_{20}) → poly3''', s_{19}, d_{20}, e_{20}, f_{20}, g_{20}, h_{20}, i_{20}, j_{20}, t_{19}, u_{19}, v_{19}, w_{19}, z_{19}, a_{20}, b_{20}, c_{20}
  513. Translate(S_{19}, u) → K_{20}
  514. Translate(T_{19}, u) → L_{20}
  515. Translate(U_{19}, u) → M_{20}
  516. Translate(V_{19}, u) → N_{20}
  517. Translate(W_{19}, u) → O_{20}
  518. Translate(Z_{19}, u) → P_{20}
  519. Translate(A_{20}, u) → Q_{20}
  520. Translate(B_{20}, u) → R_{20}
  521. Translate(C_{20}, u) → S_{20}
  522. Translate(D_{20}, u) → T_{20}
  523. Translate(E_{20}, u) → U_{20}
  524. Translate(F_{20}, u) → V_{20}
  525. Translate(G_{20}, u) → W_{20}
  526. Translate(H_{20}, u) → Z_{20}
  527. Translate(I_{20}, u) → A_{21}
  528. Translate(J_{20}, u) → B_{21}
  529. Polygon(K_{20}, L_{20}, U_{20}, V_{20}, W_{20}, Z_{20}, A_{21}, B_{21}, M_{20}, N_{20}, O_{20}, P_{20}, Q_{20}, R_{20}, S_{20}, T_{20}) → poly8, k_{20}, t_{20}, u_{20}, v_{20}, w_{20}, z_{20}, a_{21}, b_{21}, l_{20}, m_{20}, n_{20}, o_{20}, p_{20}, q_{20}, r_{20}, s_{20}
  530. Polygon(C, B', B, A) → poly9, c_2, b'_1, b_2, a_2
  531. Vector(B_8, C'_2) → d
  532. Vector(B_8, B'_3) → g

AI 绘图提示语参考

绘制一个由正方形网格和整数点构成的几何图形。先确定一个基础正方形，以其两条相邻边为方向，将正方形沿这两个方向反复平移，形成多排多列的正方形阵列。每个正方形的顶点都落在整数坐标点上，整体呈现整齐的网格状。图形中包含多个平移后的正方形副本，它们相互连接，构成一个较大的矩形区域。所有顶点均为整数点，线条清晰，突出正方形与整数点之间的对应关系。
以上提示语为根据原始绘图命令整理而来，仅供参考。