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整数加减运算智能练习工具

整数加减运算智能练习工具
几何画板及绘图内容加载中，请稍等……
2012-11-13 13:59
函数解析几何几何作图
①本示例演示了整数加减运算的可视化过程，通过交互式数轴或坐标平面展示正负数的移动。②核心数学概念包括整数运算规则、相反数、绝对值以及有符号量的加减法则。③作图中使用了 GeoGebra 的点（Point）、线段（Segment）、直线（Line）、垂线（OrthogonalLine）、多边形（Polygon）以及交点（Intersect）等命令，通过对象之间的关系实现动态演示。④适合中小学（初中及以上）学生学习整数运算，亦可用于教师演示和学生自学。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → C
  2. Point(xAxis) → D
  3. Polygon(C, A, B, D) → poly1, c, a_1, b, d
  4. Point(yAxis) → F
  5. Polygon(C, E, H, D) → poly2, c_1, e, h, d_1
  6. Segment(I, J) → f
  7. Segment(G, N) → i
  8. Segment(F, K) → g
  9. Point(g) → L
  10. Intersect(c, g) → M
  11. OrthogonalLine(L, g) → j
  12. Intersect(j, f) → O
  13. Point(f) → P
  14. Segment(Q, R) → k
  15. OrthogonalLine(P, f) → l_2
  16. Intersect(l_2, k) → S
  17. Intersect(l_2, i) → T_3
  18. Segment(S, T_3) → m
  19. Point(m) → U
  20. Intersect(e, f) → V
  21. Polygon(L, O, V, E) → poly4, l_1, o_1, v, e_1
  22. Polygon(I, P, S, Q) → poly5, i_2, p, s, q
  23. Polygon(F, I, O, L) → poly3, f_1, i_1, o, l
  24. Polygon(V, W, S, P) → poly6, v_1, w, s_1, p_1
  25. Polygon(F, I, Z, C) → poly7, f_2, i_3, z, c_2
  26. Polygon(C, Z, J, K) → poly8, c_3, z_1, j_1, k_1
  27. Polygon(I, Q, A_1, Z) → poly9, i_4, q_1, a_2, z_2
  28. Polygon(Z, A_1, R, J) → poly10, z_3, a_3, r, j_2
  29. Polygon(B_1, B, T_3, S) → poly11, b_1, b_2, t, s_2
  30. OrthogonalLine(U, xAxis) → n
  31. Intersect(n, xAxis) → C_1
  32. Polygon(U, T_3, D, C_1) → poly12, u, t_1, d_2, c_4
  33. Polygon(B_1, B, D, A_1) → poly13, b_3, b_4, d_3, a_4
  34. Polygon(W, S, T_3, H) → poly14, w_1, s_3, t_2, h_1
  35. Polygon(C_1, D, T_3, U) → poly15, c_5, d_4, t_3, u_1
  36. Polygon(A_1, D, H, W) → poly16, a_5, d_5, h_2, w_2
  37. Segment(D_1, E_1) → e_2
  38. Segment(F_1, G_1) → g_2
  39. Segment(H_1, I_1) → k_2
  40. Segment(J_1, K_1) → m_2
  41. Segment(L_1, M_1) → n_2
  42. Segment(N_1, O_1) → p_2
  43. Segment(P_1, Q_1) → q_2
  44. Segment(R_1, S_1) → r_2
  45. Segment(T_1, U_1) → e_3
  46. Segment(V_1, W_1) → f_3
  47. Segment(Z_1, A_2) → h_3
  48. Segment(B_2, C_2) → j_3
  49. Segment(D_2, E_2) → k_3
  50. Segment(F_2, G_2) → l_3
  51. Segment(H_2, I_2) → m_3
  52. Segment(J_2, K_2) → n_3
  53. Segment(L_2, M_2) → p_3
  54. Segment(N_2, O_2) → q_3
  55. Segment(P_2, Q_2) → r_3
  56. Segment(R_2, S_2) → e_4
  57. Segment(T_2, U_2) → f_4
  58. Segment(V_2, W_2) → g_4
  59. Segment(Z_2, A_3) → h_4
  60. Segment(B_3, C_3) → j_4
  61. Segment(D_3, E_3) → k_4
  62. Point(l_4) → F_3
  63. OrthogonalLine(F_3, l_4) → m_4
  64. Intersect(m_4, g_1) → G_3
  65. Intersect(m_4, yAxis) → H_3
  66. Segment(H_3, G_3) → n_4
  67. Segment(H_3, Z) → p_4
  68. Segment(G_3, F_2) → q_4
  69. Point(r_4) → I_3
  70. OrthogonalLine(I_3, r_4) → s_4
  71. Intersect(s_4, g_1) → J_3
  72. Intersect(s_4, g_3) → K_3
  73. Segment(Z, K_3) → t_4
  74. Segment(A_1, J_3) → b_5
  75. Segment(J_3, K_3) → e_5
  76. Point(i_5) → T
  77. OrthogonalLine(T, i_5) → f_5
  78. Intersect(f_5, g_5) → M_3
  79. OrthogonalLine(L_3, g_5) → h_5
  80. Intersect(i_5, h_5) → N_3
  81. Segment(M_3, T) → j_5
  82. Segment(T, N_3) → k_5
  83. Segment(N_3, L_3) → l_5
  84. Segment(F_2, O_3) → m_5
  85. Segment(O, Z) → n_5
  86. Segment(Z, P) → s_5
  87. Intersect(r_5, g_1) → Q_3
  88. Segment(P, Q_3) → t_5
  89. Intersect(i_5, r_5) → R_3
  90. Segment(T, R_3) → a_6
  91. Intersect(b_6, g_1) → S_3
  92. Segment(P, S_3) → c_6
  93. Line(O, L) → d_6
  94. Intersect(p_5, yAxis) → P_3
  95. Segment(P_3, L) → q_5
  96. Intersect(l_4, b_6) → U_3
  97. Segment(F_3, U_3) → e_6
  98. Intersect(r_5, r_4) → V_3
  99. Segment(I_3, V_3) → f_6
  100. Intersect(l_4, p_5) → W_3
  101. Segment(W_3, F_3) → h_6
  102. Intersect(r_4, g_6) → Z_3
  103. Segment(I_3, Z_3) → i_6
  104. Intersect(r_4, b_6) → A_4
  105. Segment(I_3, A_4) → j_6
  106. Intersect(l_4, r_5) → B_4
  107. Segment(F_3, B_4) → k_6

AI 绘图提示语参考

绘制一个坐标平面，包含数轴上的点D、F，以及通过这些点和数轴交点的线段和多边形。首先画出x轴和y轴的交点C，然后在x轴上画点D，在y轴上画点F。接着画出以C、D、B、A为顶点的多边形，以及以C、E、H、D为顶点的多边形。继续画出线段IJ、GN、FK，并在这些线段上标出点L、M、N等，最终形成一系列多边形，如L、O、V、E组成的多边形，I、P、S、Q组成的多边形等。
以上提示语为根据原始绘图命令整理而来，仅供参考。