乘法可视化工具

乘法可视化工具
几何画板及绘图内容加载中,请稍等……
2015-08-26 05:49
这是一个类似于其他乘法可视化工具的示例。它通过几何画板帮助用户直观理解乘法运算。核心数学概念包括函数和几何构造。使用了Intersect, Line, OrthogonalLine, Polygon, Segment等命令。适合小学高年级和初中学生学习乘法和几何。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → origin
  2. Line(origin, xAxis) → y_0
  3. Line(origin, yAxis) → yaxis
  4. OrthogonalLine(xfactor1, y_0) → factor1line
  5. OrthogonalLine(yfactor2, yaxis) → factor2line
  6. Intersect(factor1line, factor2line) → xyfactors
  7. Polygon(origin, xfactor1, xyfactors, yfactor2) → poly1, origin_1, xfactor1_1, xyfactors_1, yfactor2_1
  8. Intersect(yaxis, y_{12}) → A
  9. Intersect(yaxis, y_{11}) → B
  10. Intersect(yaxis, y_{10}) → C
  11. Intersect(yaxis, y_9) → D
  12. Intersect(yaxis, y_8) → E
  13. Intersect(yaxis, y_7) → F
  14. Intersect(yaxis, y_6) → G
  15. Intersect(yaxis, y_5) → H
  16. Intersect(yaxis, y_4) → I
  17. Intersect(yaxis, y_3) → J
  18. Intersect(yaxis, y_2) → K
  19. Intersect(yaxis, y_1) → L
  20. Intersect(y_{12}, x_{12}) → M
  21. Intersect(y_{11}, x_{12}) → N
  22. Intersect(y_{10}, x_{12}) → O
  23. Intersect(y_9, x_{12}) → P
  24. Intersect(y_8, x_{12}) → Q
  25. Intersect(y_7, x_{12}) → R
  26. Intersect(y_6, x_{12}) → S
  27. Intersect(y_5, x_{12}) → T
  28. Intersect(y_4, x_{12}) → U
  29. Intersect(factor2line, y_3) → V
  30. Intersect(factor2line, y_3) → W
  31. Intersect(factor2line, y_3) → Z
  32. Intersect(y_2, x_{12}) → A_1
  33. Intersect(y_1, x_{12}) → B_1
  34. Intersect(y_3, x_{12}) → C_1
  35. Intersect(y_{12}, x_1) → D_1
  36. Intersect(y_{12}, x_2) → E_1
  37. Intersect(factor1line, y_{12}) → F_1
  38. Intersect(y_{12}, x_4) → G_1
  39. Intersect(y_{12}, x_5) → H_1
  40. Intersect(y_{12}, x_6) → I_1
  41. Intersect(y_{12}, x_7) → J_1
  42. Intersect(y_{12}, x_8) → K_1
  43. Intersect(y_{12}, x_9) → L_1
  44. Intersect(y_{12}, x_{10}) → M_1
  45. Intersect(y_{12}, x_{11}) → N_1
  46. Intersect(y_0, x_{12}) → O_1
  47. Intersect(y_0, x_{11}) → P_1
  48. Intersect(y_0, x_{10}) → Q_1
  49. Intersect(y_0, x_9) → R_1
  50. Intersect(y_0, x_8) → S_1
  51. Intersect(y_0, x_7) → T_1
  52. Intersect(y_0, x_6) → U_1
  53. Intersect(y_0, x_5) → V_1
  54. Intersect(y_0, x_4) → W_1
  55. Intersect(y_0, x_3) → Z_1
  56. Intersect(y_0, x_2) → A_2
  57. Intersect(y_0, x_1) → B_2
  58. Intersect(y_{12}, x_3) → C_2
  59. Intersect(factor2line, yaxis) → D_2
  60. Segment(A, M) → a
  61. Segment(B, N) → b
  62. Segment(C, O) → c
  63. Segment(D, P) → d
  64. Segment(E, Q) → e
  65. Segment(F, R) → f
  66. Segment(G, S) → g
  67. Segment(H, T) → h
  68. Segment(J, C_1) → j
  69. Segment(K, A_1) → k
  70. Segment(L, B_1) → l
  71. Segment(origin, O_1) → m
  72. Segment(A, origin) → n
  73. Segment(D_1, B_2) → p
  74. Segment(E_1, A_2) → q
  75. Segment(C_2, Z_1) → r
  76. Segment(F_1, xfactor1) → s
  77. Segment(H_1, V_1) → t
  78. Segment(I_1, U_1) → a_1
  79. Segment(J_1, T_1) → b_1
  80. Segment(K_1, S_1) → c_1
  81. Segment(L_1, R_1) → d_1
  82. Segment(M_1, Q_1) → e_1
  83. Segment(N_1, P_1) → f_1
  84. Segment(M, O_1) → g_1
  85. Segment(G_1, W_1) → h_1
  86. Segment(I, U) → i
  87. Polygon(origin, A, M, O_1) → poly2, origin_2, a_2, m_1, o_1

AI 绘图提示语参考

在坐标平面上,以原点为起点,沿横轴和纵轴分别作两条互相垂直的直线作为坐标轴。在横轴上取一个点,过该点作横轴的垂线;在纵轴上取另一个点,过该点作纵轴的垂线,两条垂线相交于一点。以原点、横轴上的点、交点、纵轴上的点依次连接,构成一个矩形。随后,在纵轴上从原点向上等距标记多个点,并过每个点作横轴的平行线;在横轴上从原点向右等距标记多个点,并过每个点作纵轴的平行线。这些平行线相互交叉,形成网格,同时与坐标轴及矩形边相交,产生一系列交点,用于展示乘法运算中因数的对应关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。