数轴加法演示 by Mathimation

数轴加法演示 by Mathimation
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2017-08-16 05:17
①本范例通过动态演示在数轴上完成加法运算的过程;②涉及的核心数学概念为数轴、整数加法、几何直观;③作图要点——从下方『构造摘要』提炼用到了Point(点)、Segment(线段)、Semicircle(半圆)、Intersect(交点)、OrthogonalLine(垂线)、Line(直线)、Polygon(多边形)、Midpoint(中点)等GeoGebra命令/对象;④适合初中数学教学,用于帮助学生理解加法的几何意义和数轴的应用。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Segment(A, Ans) → a
  3. Point(xAxis) → C
  4. Point(xAxis) → D
  5. Point(xAxis) → E
  6. Point(xAxis) → F
  7. Point(xAxis) → G
  8. Point(xAxis) → H
  9. Point(xAxis) → I
  10. Point(xAxis) → J
  11. Point(xAxis) → K
  12. Point(xAxis) → L
  13. Point(xAxis) → M
  14. Point(xAxis) → N
  15. Point(xAxis) → O
  16. Point(xAxis) → Q
  17. Point(xAxis) → R
  18. Point(xAxis) → S
  19. Point(xAxis) → T
  20. Point(xAxis) → U
  21. Point(xAxis) → V
  22. Point(xAxis) → W
  23. Point(xAxis) → Z
  24. Point(xAxis) → A_1
  25. Semicircle(C, D) → c
  26. Semicircle(D, E) → d
  27. Semicircle(E, F) → e
  28. Semicircle(F, G) → f
  29. Semicircle(G, H) → g
  30. Semicircle(H, I) → h
  31. Semicircle(I, J) → k
  32. Semicircle(J, K) → p
  33. Semicircle(K, L) → q
  34. Semicircle(L, M) → r
  35. Semicircle(M, N) → s
  36. Semicircle(N, O) → t
  37. Semicircle(O, Q) → c_1
  38. Semicircle(Q, R) → d_1
  39. Semicircle(R, S) → e_1
  40. Semicircle(S, T) → f_1
  41. Semicircle(T, U) → g_1
  42. Semicircle(U, V) → h_1
  43. Semicircle(V, W) → k_1
  44. Semicircle(W, Z) → p_1
  45. Semicircle(Z, A_1) → q_1
  46. Intersect(c, xAxis, 1) → B_1
  47. OrthogonalLine(Ans, a) → b
  48. OrthogonalLine(B_1, xAxis) → i
  49. Line(D_1, a) → j
  50. Intersect(b, j) → E_1
  51. Point(i) → F_1
  52. Polygon(F_1, C_1, E_1, Ans) → poly1, f_2, c_2, e_2, ans
  53. Point(xAxis) → G_1
  54. OrthogonalLine(G_1, j) → l
  55. Intersect(l, j) → H_1
  56. Polygon(H_1, G_1, Ans, E_1) → poly2, h_2, g_2, ans_1, e_3
  57. OrthogonalLine(A, j) → m
  58. Intersect(m, j) → I_1
  59. Polygon(I_1, A, G_1, H_1) → poly3, i_1, a_1, g_3, h_3
  60. Polygon(D_1, I_1, A, F_1) → poly4, d_2, i_2, a_2, f_3
  61. Point(a_2) → J_1
  62. Intersect(g_3, a_1) → K_1
  63. Point(xAxis) → L_1
  64. Semicircle(M_1, L_1) → r_1
  65. Point(xAxis) → N_1
  66. Point(xAxis) → O_1
  67. Line(N_1, O_1) → n
  68. Midpoint(a) → P_1

AI 绘图提示语参考

在数轴上绘制一系列点,从起点开始,用半圆依次连接相邻的点,形成一条波浪状的路径。每个半圆都位于数轴上方或下方,交替排列。在第一个半圆与数轴的交点处,作一条垂直于数轴的直线,同时从起点作一条垂直于连接起点与终点的线段的直线。整个图形展示数轴上点的加法过程,通过半圆和垂线直观呈现几何关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。