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随机权重图网络生成器

随机权重图网络生成器
几何画板及绘图内容加载中，请稍等……
2017-02-03 01:22
函数概率统计几何作图滑块动画函数图像
本范例演示如何通过GeoGebra脚本生成一个带有随机权重的图网络（Graph Network），其中节点按网格排列，边连接相邻节点并显示随机权重数值。核心数学概念包括图论中的加权图、随机数生成、几何中的点与线段、以及角度和旋转的运用。作图要点：从构造摘要可见，使用了Random命令生成随机权重，Element和If用于条件判断，Circle、Point、Rotate、Angle、Segment等命令构建节点与边，Midpoint计算中点，LaTeX用于显示权重标签；对象命名如J10randomweight3等表明每个节点关联一个随机权重值。适合高中或大学阶段学习图论、离散数学或计算机科学入门，也可用于演示GeoGebra的脚本化几何构造与随机模拟。

GeoGebra 命令及参数

  1. Random(1, 20) → J9randomweight3
  2. Random(1, 20) → J8randomweight3
  3. Random(1, 20) → I8randomweight3
  4. Random(1, 20) → J7randomweight3
  5. Random(1, 20) → I7randomweight3
  6. Random(1, 20) → H7randomweight3
  7. Random(1, 20) → J6randomweight3
  8. Random(1, 20) → I6randomweight3
  9. Random(1, 20) → H6randomweight3
  10. Random(1, 20) → G6randomweight3
  11. Random(1, 20) → J5randomweight3
  12. Random(1, 20) → I5randomweight3
  13. Random(1, 20) → H5randomweight3
  14. Random(1, 20) → G5randomweight3
  15. Random(1, 20) → F5randomweight3
  16. Random(1, 20) → J4randomweight3
  17. Random(1, 20) → I4randomweight3
  18. Random(1, 20) → H4randomweight3
  19. Random(1, 20) → G4randomweight3
  20. Random(1, 20) → F4randomweight3
  21. Random(1, 20) → E4randomweight3
  22. Random(1, 20) → J3randomweight3
  23. Random(1, 20) → I3randomweight3
  24. Random(1, 20) → H3randomweight3
  25. Random(1, 20) → G3randomweight3
  26. Random(1, 20) → F3randomweight3
  27. Random(1, 20) → E3randomweight3
  28. Random(1, 20) → D3randomweight3
  29. Random(1, 20) → J2randomweight3
  30. Random(1, 20) → I2randomweight3
  31. Random(1, 20) → H2randomweight3
  32. Random(1, 20) → G2randomweight3
  33. Random(1, 20) → F2randomweight3
  34. Random(1, 20) → E2randomweight3
  35. Random(1, 20) → D2randomweight3
  36. Random(1, 20) → C2randomweight3
  37. Random(1, 20) → J1randomweight3
  38. Random(1, 20) → I1randomweight3
  39. Random(1, 20) → H1randomweight3
  40. Random(1, 20) → G1randomweight3
  41. Random(1, 20) → F1randomweight3
  42. Random(1, 20) → E1randomweight3
  43. Random(1, 20) → D1randomweight3
  44. Random(1, 20) → C1randomweight3
  45. Random(1, 20) → B1randomweight3
  46. Random(0, 1) → B1randomweight2
  47. Random(0, 1) → C1randomweight2
  48. Random(0, 1) → D1randomweight2
  49. Random(0, 1) → E1randomweight2
  50. Random(0, 1) → F1randomweight2
  51. Random(0, 1) → G1randomweight2
  52. Random(0, 1) → H1randomweight2
  53. Random(0, 1) → I1randomweight2
  54. Random(0, 1) → J1randomweight2
  55. Random(0, 1) → C2randomweight2
  56. Random(0, 1) → D2randomweight2
  57. Random(0, 1) → E2randomweight2
  58. Random(0, 1) → F2randomweight2
  59. Random(0, 1) → G2randomweight2
  60. Random(0, 1) → H2randomweight2
  61. Random(0, 1) → I2randomweight2
  62. Random(0, 1) → J2randomweight2
  63. Random(0, 1) → D3randomweight2
  64. Random(0, 1) → E3randomweight2
  65. Random(0, 1) → F3randomweight2
  66. Random(0, 1) → G3randomweight2
  67. Random(0, 1) → H3randomweight2
  68. Random(0, 1) → I3randomweight2
  69. Random(0, 1) → J3randomweight2
  70. Random(0, 1) → E4randomweight2
  71. Random(0, 1) → F4randomweight2
  72. Random(0, 1) → G4randomweight2
  73. Random(0, 1) → H4randomweight2
  74. Random(0, 1) → I4randomweight2
  75. Random(0, 1) → J4randomweight2
  76. Random(0, 1) → F5randomweight2
  77. Random(0, 1) → G5randomweight2
  78. Random(0, 1) → H5randomweight2
  79. Random(0, 1) → I5randomweight2
  80. Random(0, 1) → J5randomweight2
  81. Random(0, 1) → G6randomweight2
  82. Random(0, 1) → H6randomweight2
  83. Random(0, 1) → I6randomweight2
  84. Random(0, 1) → J6randomweight2
  85. Random(0, 1) → H7randomweight2
  86. Random(0, 1) → I7randomweight2
  87. Random(0, 1) → J7randomweight2
  88. Random(0, 1) → I8randomweight2
  89. Random(0, 1) → J8randomweight2
  90. Random(0, 1) → J9randomweight2
  91. Random(0, 1) → J1
  92. Random(0, 1) → J2
  93. Random(0, 1) → J3
  94. Random(0, 1) → J4
  95. Random(0, 1) → J5
  96. Random(0, 1) → J6
  97. Random(0, 1) → J7
  98. Random(0, 1) → J8
  99. Random(0, 1) → J9
  100. Random(0, 1) → I8
  101. Random(0, 1) → I7
  102. Random(0, 1) → H7
  103. Random(0, 1) → G6
  104. Random(0, 1) → I6
  105. Random(0, 1) → H6
  106. Random(0, 1) → G5
  107. Random(0, 1) → I5
  108. Random(0, 1) → H5
  109. Random(0, 1) → F5
  110. Random(0, 1) → G4
  111. Random(0, 1) → I4
  112. Random(0, 1) → H4
  113. Random(0, 1) → F4
  114. Random(0, 1) → E4
  115. Random(0, 1) → G3
  116. Random(0, 1) → I3
  117. Random(0, 1) → H3
  118. Random(0, 1) → F3
  119. Random(0, 1) → E3
  120. Random(0, 1) → D3
  121. Random(0, 1) → F2
  122. Random(0, 1) → I2
  123. Random(0, 1) → H2
  124. Random(0, 1) → G2
  125. Random(0, 1) → E2
  126. Random(0, 1) → D2
  127. Random(0, 1) → C2
  128. Random(0, 1) → F1
  129. Random(0, 1) → I1
  130. Random(0, 1) → H1
  131. Random(0, 1) → G1
  132. Random(0, 1) → E1
  133. Random(0, 1) → D1
  134. Random(0, 1) → C1
  135. Random(0, 1) → B1
  136. Element(matrix1, 10) → row10
  137. Element(matrix1, 9) → row9
  138. Element(matrix1, 8) → row8
  139. Element(matrix1, 7) → row7
  140. Element(matrix1, 6) → row6
  141. Element(matrix1, 5) → row5
  142. Element(matrix1, 4) → row4
  143. Element(matrix1, 3) → row3
  144. Element(matrix1, 2) → row2
  145. Element(matrix1, 1) → row1
  146. If(nodes ≟ 1, {Sum[row1], 0, 0, 0, 0, 0, 0, 0, 0, 0}, If[nodes ≟ 2, {Sum[row1], Sum[row2], 0, 0, 0, 0, 0, 0, 0, 0}, If[nodes ≟ 3, {Sum[row1], Sum[row2], Sum[row3], 0, 0, 0, 0, 0, 0, 0}, If[nodes ≟ 4, {Sum[row1], Sum[row2], Sum[row3], Sum[row4], 0, 0, 0, 0, 0, 0}, If[nodes ≟ 5, {Sum[row1], Sum[row2], Sum[row3], Sum[row4], Sum[row5], 0, 0, 0, 0, 0, 0}, If[nodes ≟ 6, {Sum[row1], Sum[row2], Sum[row3], Sum[row4], Sum[row5], Sum[row6], 0, 0, 0, 0}, If[nodes ≟ 7, {Sum[row1], Sum[row2], Sum[row3], Sum[row4], Sum[row5], Sum[row6], Sum[row7], 0, 0, 0}, If[nodes ≟ 8, {Sum[row1], Sum[row2], Sum[row3], Sum[row4], Sum[row5], Sum[row6], Sum[row7], Sum[row8], 0, 0}, If[nodes ≟ 9, {Sum[row1], Sum[row2], Sum[row3], Sum[row4], Sum[row5], Sum[row6], Sum[row7], Sum[row8], Sum[row9], 0}, If[nodes ≟ 10, {Sum[row1], Sum[row2], Sum[row3], Sum[row4], Sum[row5], Sum[row6], Sum[row7], Sum[row8], Sum[row9], Sum[row10]}]]]]]]]]]) → list1
  147. Circle(A_1, B_1) → c
  148. Point(c) → A
  149. Rotate(A, (360 / nodes)°, A_1) → B
  150. Angle(A, A_1, B) → α
  151. Rotate(B, (360 / nodes)°, A_1) → C
  152. Angle(B, A_1, C) → β
  153. Rotate(C, (360 / nodes)°, A_1) → D
  154. Angle(C, A_1, D) → γ
  155. Rotate(D, (360 / nodes)°, A_1) → E
  156. Angle(D, A_1, E) → δ
  157. Rotate(E, (360 / nodes)°, A_1) → F
  158. Angle(E, A_1, F) → ε
  159. Rotate(F, (360 / nodes)°, A_1) → G
  160. Angle(F, A_1, G) → ζ
  161. Rotate(G, (360 / nodes)°, A_1) → H
  162. Angle(G, A_1, H) → η
  163. Rotate(H, (360 / nodes)°, A_1) → I
  164. Angle(H, A_1, I) → θ
  165. Rotate(I, (360 / nodes)°, A_1) → J
  166. Angle(I, A_1, J) → ι
  167. Segment(A, B) → a
  168. Segment(A, C) → b
  169. Segment(A, D) → d
  170. Segment(A, E) → e
  171. Segment(A, G) → g
  172. Segment(A, H) → h
  173. Segment(A, I) → i
  174. Segment(A, J) → j
  175. Segment(B, C) → k
  176. Segment(B, D) → l
  177. Segment(B, E) → m
  178. Segment(B, F) → p
  179. Segment(B, G) → q
  180. Segment(B, H) → r
  181. Segment(B, I) → s
  182. Segment(B, J) → t
  183. Segment(C, D) → a_1
  184. Segment(C, E) → b_1
  185. Segment(C, F) → c_1
  186. Segment(C, G) → e_1
  187. Segment(C, H) → f_1
  188. Segment(C, I) → g_1
  189. Segment(C, J) → h_1
  190. Segment(D, E) → d_1
  191. Segment(D, F) → i_1
  192. Segment(D, G) → j_1
  193. Segment(D, H) → k_1
  194. Segment(D, I) → l_1
  195. Segment(D, J) → m_1
  196. Segment(E, F) → n_1
  197. Segment(E, G) → p_1
  198. Segment(E, H) → q_1
  199. Segment(E, I) → r_1
  200. Segment(E, J) → s_1
  201. Segment(F, G) → t_1
  202. Segment(F, H) → a_2
  203. Segment(F, I) → b_2
  204. Segment(F, J) → c_2
  205. Segment(G, H) → d_2
  206. Segment(G, I) → e_2
  207. Segment(G, J) → f_2
  208. Segment(H, I) → g_2
  209. Segment(H, J) → h_2
  210. Segment(I, J) → i_2
  211. Segment(A, F) → j_2
  212. LaTeX(matrix2, true, true) → text1
  213. LaTeX(matrix3, true, true) → text2
  214. LaTeX(matrix4, true, true) → text3
  215. LaTeX(matrix5, true, true) → text4
  216. LaTeX(matrix6, true, true) → text5
  217. LaTeX(matrix7, true, true) → text6
  218. LaTeX(matrix8, true, true) → text7
  219. LaTeX(matrix9, true, true) → text8
  220. LaTeX(matrix1, true, true) → text9
  221. Element(row2, 3) → c2
  222. Element(row2, 4) → d2
  223. Element(row2, 5) → e2
  224. Element(row2, 6) → f2
  225. Element(row2, 7) → g2
  226. Element(row2, 8) → h2
  227. Element(row2, 9) → i2
  228. Element(row2, 10) → j2
  229. Element(row3, 4) → d3
  230. Element(row3, 5) → e3
  231. Element(row3, 6) → f3
  232. Element(row3, 7) → g3
  233. Element(row3, 10) → j3
  234. Element(row4, 8) → h4
  235. Element(row4, 9) → i4
  236. Element(row1, 2) → b1
  237. Midpoint(a) → K
  238. Midpoint(b) → L
  239. Midpoint(d) → M
  240. Midpoint(e) → N
  241. Midpoint(j_2) → O
  242. Midpoint(g) → P
  243. Midpoint(h) → Q
  244. Midpoint(i) → R
  245. Midpoint(j) → S
  246. Element(row1, 3) → c1
  247. Element(row1, 4) → d1
  248. Element(row1, 5) → e1
  249. Element(row1, 6) → f1
  250. Element(row1, 7) → g1
  251. Element(row1, 8) → h1
  252. Element(row1, 9) → i1
  253. Element(row1, 10) → j1
  254. Midpoint(k) → T
  255. Midpoint(l) → U
  256. Midpoint(m) → V
  257. Midpoint(p) → W
  258. Midpoint(q) → Z
  259. Midpoint(s) → C_1
  260. Midpoint(t) → D_1
  261. Midpoint(r) → E_1
  262. Midpoint(a_1) → F_1
  263. Midpoint(b_1) → G_1
  264. Midpoint(c_1) → H_1
  265. Midpoint(e_1) → I_1
  266. Midpoint(f_1) → J_1
  267. Midpoint(g_1) → K_1
  268. Midpoint(h_1) → L_1
  269. Midpoint(d_1) → M_1
  270. Midpoint(i_1) → N_1
  271. Midpoint(j_1) → O_1
  272. Midpoint(k_1) → P_1
  273. Midpoint(l_1) → Q_1
  274. Midpoint(m_1) → R_1
  275. Midpoint(n_1) → S_1
  276. Midpoint(p_1) → T_1
  277. Midpoint(q_1) → U_1
  278. Midpoint(r_1) → V_1
  279. Midpoint(s_1) → W_1
  280. Midpoint(t_1) → Z_1
  281. Midpoint(a_2) → A_2
  282. Midpoint(b_2) → B_2
  283. Midpoint(c_2) → C_2
  284. Midpoint(d_2) → D_2
  285. Midpoint(e_2) → E_2
  286. Midpoint(f_2) → F_2
  287. Midpoint(g_2) → G_2
  288. Midpoint(h_2) → H_2
  289. Midpoint(i_2) → I_2
  290. Element(row4, 5) → e4
  291. Element(row4, 6) → f4
  292. Element(row5, 6) → f5
  293. Element(row4, 7) → g4
  294. Element(row5, 7) → g5
  295. Element(row6, 7) → g6
  296. Element(row5, 8) → h5
  297. Element(row6, 8) → h6
  298. Element(row7, 8) → h7
  299. Element(row5, 9) → i5
  300. Element(row6, 9) → i6
  301. Element(row7, 9) → i7
  302. Element(row8, 9) → i8
  303. Element(row4, 10) → j4
  304. Element(row5, 10) → j5
  305. Element(row6, 10) → j6
  306. Element(row7, 10) → j7
  307. Element(row8, 10) → j8
  308. Element(row9, 10) → j9
  309. Element(row3, 8) → h3
  310. Element(row3, 9) → i3

AI 绘图提示语参考

绘制一个随机加权图网络：将节点排列成网格状，每个节点对应一个1到20之间的随机权重值。相邻节点之间用线段连接，每条线段上标注一个随机权重（同样在1到20之间）。所有节点和边上的权重值均随机生成，并显示在图形中。整体呈现为带有随机边权的连通图结构，适合展示图论中的加权网络概念。
以上提示语为根据原始绘图命令整理而来，仅供参考。