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有向数加法演示 by Henry Ha

有向数加法演示 by Henry Ha
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2018-08-04 17:38
向量解析几何几何作图
①本范例通过动态图形演示有向数的加法运算过程；②涉及核心数学概念包括有向数、数轴、向量加法；③作图要点：使用了Point（点）、Semicircle（半圆）等GeoGebra命令，构建了数轴、向量等对象；④适合初中及以上学生学习向量与数轴运算，也可用于数学教学演示。

GeoGebra 命令及参数

  1. Point(xAxis) → C
  2. Point(xAxis) → P3
  3. Point(xAxis) → P4
  4. Point(xAxis) → P5
  5. Point(xAxis) → P6
  6. Point(xAxis) → J
  7. Point(xAxis) → P0
  8. Point(xAxis) → P1
  9. Point(xAxis) → P7
  10. Semicircle(P0, P1) → c
  11. Semicircle(P1, P2) → d
  12. Semicircle(P2, P3) → e
  13. Semicircle(P3, P4) → f
  14. Semicircle(P4, P5) → g
  15. Semicircle(P5, P6) → h
  16. Semicircle(P6, P7) → k
  17. Semicircle(Translate[P0, (a, 0)], Translate[P1, (a, 0)]) → p
  18. Semicircle(Translate[P1, (a, 0)], Translate[P2, (a, 0)]) → q
  19. Semicircle(Translate[P2, (a, 0)], Translate[P3, (a, 0)]) → r
  20. Semicircle(Translate[P3, (a, 0)], Translate[P4, (a, 0)]) → s
  21. Semicircle(Translate[P4, (a, 0)], Translate[P5, (a, 0)]) → t
  22. Semicircle(Translate[P5, (a, 0)], Translate[P6, (a, 0)]) → c_1
  23. Point(xAxis) → N1
  24. Point(xAxis) → N2
  25. Point(xAxis) → N3
  26. Point(xAxis) → N4
  27. Point(xAxis) → N5
  28. Point(xAxis) → N6
  29. Point(xAxis) → N7
  30. Semicircle(P0, N1) → d_1
  31. Semicircle(N1, N2) → e_1
  32. Semicircle(N2, N3) → f_1
  33. Semicircle(N4, N5) → g_1
  34. Semicircle(N3, N4) → h_1
  35. Semicircle(N5, N6) → k_1
  36. Semicircle(Translate[P0, (a, 0)], Translate[N1, (a, 0)]) → p_1
  37. Semicircle(Translate[N1, (a, 0)], Translate[N2, (a, 0)]) → q_1
  38. Semicircle(Translate[N2, (a, 0)], Translate[N3, (a, 0)]) → r_1
  39. Semicircle(Translate[N3, (a, 0)], Translate[N4, (a, 0)]) → s_1
  40. Semicircle(Translate[N4, (a, 0)], Translate[N5, (a, 0)]) → t_1
  41. Semicircle(Translate[N5, (a, 0)], Translate[N6, (a, 0)]) → c_2

AI 绘图提示语参考

画一个数轴，上面有7个点C、P3、P4、P5、P6、J和P0，然后画出以这些点为圆心的半圆c、d、e、f、g、h和k。接着，将P0和P1、P1和P2、P2和P3、P3和P4、P4和P5、P5和P6、P6和P7分别向右平移a个单位，再以这些新的点为圆心画出半圆p、q、r、s、t、c_1和k。最后，在数轴上再画7个点N1、N2、N3、N4、N5、N6和N7，以这些点为圆心画出半圆d_1、e_1、f_1、g_1、h_1、k_1和c_2，再将P0和N1、N1和N2、N2和N3、N3和N4、N4和N5、N5和N6、N6和N7分别向右平移a个单位，以这些新的点为圆心画出半圆p_1、q_1、r_1、s_1、t_1和c_2。
以上提示语为根据原始绘图命令整理而来，仅供参考。