积极 AI Logo 积极 AI

动态乘法模型

动态乘法模型
几何画板及绘图内容加载中，请稍等……
2014-07-12 18:42
解析几何滑块动画函数图像
该模型用于小学或师范专业大学学生计算不同小数乘积。它展示了乘法运算的动态过程，涉及小数乘法的核心概念。通过使用GeoGebra命令如Intersect、Point、Polygon等，可以动态地展示乘法运算。适合小学高年级和初中学生使用。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c, d
  5. Point(d) → E
  6. Point(b) → F
  7. Segment(E, F) → e
  8. Point(d) → G
  9. Point(b) → H
  10. Segment(G, H) → f
  11. Point(d) → I
  12. Point(b) → J
  13. Segment(I, J) → g
  14. Point(d) → K
  15. Point(b) → L
  16. Segment(K, L) → h
  17. Point(d) → M
  18. Point(b) → N
  19. Segment(M, N) → i
  20. Point(d) → O
  21. Point(b) → P2
  22. Segment(O, P2) → j
  23. Point(d) → Q
  24. Point(b) → R
  25. Segment(Q, R) → k
  26. Point(d) → S
  27. Point(b) → T
  28. Segment(S, T) → l
  29. Point(d) → U
  30. Point(b) → V
  31. Segment(U, V) → m
  32. Point(a) → W
  33. Point(c) → Z
  34. Segment(W, Z) → n
  35. Point(a) → A_1
  36. Point(c) → B_1
  37. Segment(A_1, B_1) → p
  38. Point(a) → C_1
  39. Point(c) → D_1
  40. Segment(C_1, D_1) → q
  41. Point(a) → E_1
  42. Point(c) → F_1
  43. Segment(E_1, F_1) → r
  44. Point(a) → G_1
  45. Point(c) → H_1
  46. Segment(G_1, H_1) → s
  47. Point(a) → I_1
  48. Point(c) → J_1
  49. Segment(I_1, J_1) → t
  50. Point(c) → L_1
  51. Segment(K_1, L_1) → a_1
  52. Point(a) → M_1
  53. Segment(M_1, N_1) → b_1
  54. Point(a) → O_1
  55. Point(c) → P_1
  56. Segment(O_1, P_1) → c_1
  57. Segment(A, P) → d_1
  58. OrthogonalLine(P, a) → e_1
  59. OrthogonalLine(P, d) → f_1
  60. Intersect(e_1, a) → Q_1
  61. Intersect(f_1, d) → R_1
  62. Polygon(A, Q_1, P, R_1) → poly2, a_2, q_1, p_1, r_1
  63. Product({α, β}) → v
  64. Intersect(b, a) → S_1
  65. Segment(A, S_1) → g_1
  66. Polygon(P, R_1, A, Q_1) → poly3, p_2, r_2, a_3, q_2
  67. Intersect(f, n) → T_1
  68. Circle(T_1, 0.2) → h_1
  69. Intersect(f, p) → U_1
  70. Circle(U_1, 0.2) → k_1
  71. Intersect(f, q) → V_1
  72. Circle(V_1, 0.2) → s_1
  73. Intersect(f, r) → W_1
  74. Circle(W_1, 0.2) → t_1
  75. Intersect(f, s) → Z_1
  76. Circle(Z_1, 0.2) → c_2
  77. Intersect(f, t) → A_2
  78. Circle(A_2, 0.2) → d_2
  79. Intersect(f, b_1) → C_2
  80. Circle(C_2, 0.2) → f_2
  81. Intersect(f, c_1) → D_2
  82. Circle(D_2, 0.2) → g_2
  83. Intersect(b, f) → E_2
  84. Circle(E_2, 0.2) → h_2
  85. Intersect(b, e) → F_2
  86. Circle(F_2, 0.2) → k_2
  87. Intersect(e, c_1) → G_2
  88. Circle(G_2, 0.2) → s_2
  89. Intersect(e, b_1) → H_2
  90. Circle(H_2, 0.2) → t_2
  91. Point(t) → J_2
  92. Circle(J_2, 0.2) → d_3
  93. Intersect(e, s) → K_2
  94. Circle(K_2, 0.2) → e_3
  95. Intersect(e, r) → L_2
  96. Circle(L_2, 0.2) → f_3
  97. Intersect(e, q) → M_2
  98. Circle(M_2, 0.2) → g_3
  99. Intersect(e, p) → N_2
  100. Circle(N_2, 0.2) → h_3
  101. Intersect(e, n) → O_2
  102. Circle(O_2, 0.2) → k_3
  103. Intersect(g, n) → P_2
  104. Circle(P_2, 0.2) → p_3
  105. Intersect(g, p) → Q_2
  106. Circle(Q_2, 0.2) → q_3
  107. Intersect(g, q) → R_2
  108. Circle(R_2, 0.2) → r_3
  109. Intersect(g, r) → S_2
  110. Circle(S_2, 0.2) → s_3
  111. Intersect(g, s) → T_2
  112. Circle(T_2, 0.2) → t_3
  113. Intersect(g, t) → U_2
  114. Circle(U_2, 0.2) → c_4
  115. Intersect(g, b_1) → W_2
  116. Circle(W_2, 0.2) → e_4
  117. Intersect(g, c_1) → Z_2
  118. Circle(Z_2, 0.2) → f_4
  119. Intersect(b, g) → A_3
  120. Circle(A_3, 0.2) → g_4
  121. Intersect(b, h) → B_3
  122. Circle(B_3, 0.2) → h_4
  123. Intersect(h, c_1) → C_3
  124. Circle(C_3, 0.2) → k_4
  125. Intersect(h, b_1) → D_3
  126. Circle(D_3, 0.2) → p_4
  127. Intersect(h, t) → F_3
  128. Circle(F_3, 0.2) → r_4
  129. Intersect(h, s) → G_3
  130. Circle(G_3, 0.2) → s_4
  131. Intersect(h, r) → H_3
  132. Circle(H_3, 0.2) → t_4
  133. Intersect(h, q) → I_3
  134. Circle(I_3, 0.2) → c_5
  135. Intersect(h, p) → J_3
  136. Circle(J_3, 0.2) → d_5
  137. Intersect(h, n) → K_3
  138. Circle(K_3, 0.2) → e_5
  139. Intersect(i, n) → L_3
  140. Circle(L_3, 0.2) → f_5
  141. Intersect(i, p) → M_3
  142. Circle(M_3, 0.2) → g_5
  143. Intersect(i, q) → N_3
  144. Circle(N_3, 0.2) → h_5
  145. Intersect(i, r) → O_3
  146. Circle(O_3, 0.2) → k_5
  147. Intersect(i, s) → P_3
  148. Circle(P_3, 0.2) → p_5
  149. Intersect(i, t) → Q_3
  150. Circle(Q_3, 0.2) → q_5
  151. Intersect(i, a_1) → R_3
  152. Circle(R_3, 0.2) → r_5
  153. Intersect(i, b_1) → S_3
  154. Circle(S_3, 0.2) → s_5
  155. Intersect(i, c_1) → T_3
  156. Circle(T_3, 0.2) → t_5
  157. Intersect(b, i) → U_3
  158. Circle(U_3, 0.2) → c_6
  159. Intersect(e, a_1) → B_2
  160. Circle(B_2, 0.2) → e_2
  161. Intersect(f, a_1) → I_2
  162. Circle(I_2, 0.2) → c_3
  163. Intersect(g, a_1) → V_2
  164. Circle(V_2, 0.2) → d_4
  165. Intersect(h, a_1) → E_3
  166. Circle(E_3, 0.2) → q_4
  167. Intersect(j, n) → V_3
  168. Circle(V_3, 0.2) → d_6
  169. Intersect(j, p) → W_3
  170. Circle(W_3, 0.2) → e_6
  171. Intersect(j, q) → Z_3
  172. Circle(Z_3, 0.2) → f_6
  173. Intersect(j, r) → A_4
  174. Circle(A_4, 0.2) → g_6
  175. Intersect(j, s) → B_4
  176. Circle(B_4, 0.2) → h_6
  177. Intersect(j, t) → C_4
  178. Circle(C_4, 0.2) → k_6
  179. Intersect(j, a_1) → D_4
  180. Circle(D_4, 0.2) → p_6
  181. Intersect(j, b_1) → E_4
  182. Circle(E_4, 0.2) → q_6
  183. Intersect(j, c_1) → F_4
  184. Circle(F_4, 0.2) → r_6
  185. Intersect(b, j) → G_4
  186. Circle(G_4, 0.2) → s_6
  187. Intersect(b, k) → H_4
  188. Circle(H_4, 0.2) → t_6
  189. Intersect(k, c_1) → I_4
  190. Circle(I_4, 0.2) → c_7
  191. Intersect(k, b_1) → J_4
  192. Circle(J_4, 0.2) → d_7
  193. Intersect(k, a_1) → K_4
  194. Circle(K_4, 0.2) → e_7
  195. Intersect(k, t) → L_4
  196. Circle(L_4, 0.2) → f_7
  197. Intersect(k, s) → M_4
  198. Circle(M_4, 0.2) → g_7
  199. Intersect(k, r) → N_4
  200. Circle(N_4, 0.2) → h_7
  201. Intersect(k, q) → O_4
  202. Circle(O_4, 0.2) → k_7
  203. Intersect(k, p) → P_4
  204. Circle(P_4, 0.2) → p_7
  205. Intersect(k, n) → Q_4
  206. Circle(Q_4, 0.2) → q_7
  207. Intersect(l, n) → R_4
  208. Circle(R_4, 0.2) → r_7
  209. Intersect(l, p) → S_4
  210. Circle(S_4, 0.2) → s_7
  211. Intersect(l, q) → T_4
  212. Circle(T_4, 0.2) → t_7
  213. Intersect(l, r) → U_4
  214. Circle(U_4, 0.2) → c_8
  215. Intersect(l, s) → V_4
  216. Circle(V_4, 0.2) → d_8
  217. Intersect(l, t) → W_4
  218. Circle(W_4, 0.2) → e_8
  219. Intersect(l, a_1) → Z_4
  220. Circle(Z_4, 0.2) → f_8
  221. Intersect(l, b_1) → A_5
  222. Circle(A_5, 0.2) → g_8
  223. Intersect(l, c_1) → B_5
  224. Circle(B_5, 0.2) → h_8
  225. Intersect(b, l) → C_5
  226. Circle(C_5, 0.2) → k_8
  227. Intersect(b, m) → D_5
  228. Circle(D_5, 0.2) → p_8
  229. Intersect(m, c_1) → E_5
  230. Circle(E_5, 0.2) → q_8
  231. Intersect(m, b_1) → F_5
  232. Circle(F_5, 0.2) → r_8
  233. Intersect(m, a_1) → G_5
  234. Circle(G_5, 0.2) → s_8
  235. Intersect(m, t) → H_5
  236. Circle(H_5, 0.2) → t_8
  237. Intersect(m, s) → I_5
  238. Circle(I_5, 0.2) → c_9
  239. Intersect(m, r) → J_5
  240. Circle(J_5, 0.2) → d_9
  241. Intersect(m, q) → K_5
  242. Circle(K_5, 0.2) → e_9
  243. Intersect(m, p) → L_5
  244. Circle(L_5, 0.2) → f_9
  245. Intersect(m, n) → M_5
  246. Circle(M_5, 0.2) → g_9
  247. Intersect(c, n) → N_5
  248. Circle(N_5, 0.2) → h_9
  249. Intersect(c, p) → O_5
  250. Circle(O_5, 0.2) → k_9
  251. Intersect(c, q) → P_5
  252. Circle(P_5, 0.2) → p_9
  253. Intersect(c, r) → Q_5
  254. Circle(Q_5, 0.2) → q_9
  255. Intersect(c, s) → R_5
  256. Circle(R_5, 0.2) → r_9
  257. Intersect(c, t) → S_5
  258. Circle(S_5, 0.2) → s_9
  259. Intersect(c, a_1) → T_5
  260. Circle(T_5, 0.2) → t_9
  261. Intersect(c, b_1) → U_5
  262. Circle(U_5, 0.2) → c_{10}
  263. Intersect(c, c_1) → V_5
  264. Circle(V_5, 0.2) → d_{10}
  265. Intersect(c, b) → W_5
  266. Circle(W_5, 0.2) → e_{10}

AI 绘图提示语参考

画一个坐标系，包括x轴和y轴的交点A，以及x轴上的点B和y轴上的点D。用这四个点画一个矩形poly1。然后在x轴和y轴上分别取点E、F、G、H、I、J、K、L、M、N、O、P2、Q、R、S、T、U、V，用这些点画一系列平行于矩形边的线段，形成一个动态的乘法模型，展示小数乘法的过程。
以上提示语为根据原始绘图命令整理而来，仅供参考。