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P6水平对称轴对称练习

P6水平对称轴对称练习
几何画板及绘图内容加载中，请稍等……
2020-05-26 20:31
解析几何变换几何作图
所属专题 P6 6S1 Symmetry (English Version)
①本范例演示了水平对称轴下图形的对称变换现象；②涉及的核心数学概念包括对称性、平行四边形、导数、直线方程和算术运算；③作图要点提炼自构造摘要，使用了Segment（线段）、IndexOf（索引）、Element（元素）、Mirror（镜像）、Defined（定义）、Sequence（序列）、If（条件判断）等GeoGebra命令和对象；④适合初中及以上数学学习者，用于理解对称变换和几何作图。

GeoGebra 命令及参数

  1. Segment(Blue10a, Blue10b) → Blue10
  2. Segment(Blue9a, Blue9b) → Blue9
  3. IndexOf(SelectedElement[ListNumSeg], ListNumSeg) → NumSeg
  4. Segment(Blue8a, Blue8b) → Blue8
  5. Segment(Blue7a, Blue7b) → Blue7
  6. Segment(Blue6a, Blue6b) → Blue6
  7. Segment(Blue5a, Blue5b) → Blue5
  8. Segment(Blue4a, Blue4b) → Blue4
  9. Segment(Blue3a, Blue3b) → Blue3
  10. Segment(Blue2a, Blue2b) → Blue2
  11. Segment(Blue1a, Blue1b) → Blue1
  12. IndexOf(SelectedElement[ListSymA], ListSymA) → NumSymA
  13. Element({SymA1, SymA2, SymA3, SymA4}, NumSymA) → SymA
  14. Mirror(Blue10b, SymA) → Blue10b'
  15. Mirror(Blue10a, SymA) → Blue10a'
  16. Segment(Blue10a', Blue10b') → RefBlue10
  17. Mirror(Blue9b, SymA) → Blue9b'
  18. Mirror(Blue9a, SymA) → Blue9a'
  19. Segment(Blue9a', Blue9b') → RefBlue9
  20. Mirror(Blue8b, SymA) → Blue8b'
  21. Mirror(Blue8a, SymA) → Blue8a'
  22. Segment(Blue8a', Blue8b') → RefBlue8
  23. Mirror(Blue7b, SymA) → Blue7b'
  24. Mirror(Blue7a, SymA) → Blue7a'
  25. Segment(Blue7a', Blue7b') → RefBlue7
  26. Mirror(Blue6b, SymA) → Blue6b'
  27. Mirror(Blue6a, SymA) → Blue6a'
  28. Segment(Blue6a', Blue6b') → RefBlue6
  29. Mirror(Blue5b, SymA) → Blue5b'
  30. Mirror(Blue5a, SymA) → Blue5a'
  31. Segment(Blue5a', Blue5b') → RefBlue5
  32. Mirror(Blue4b, SymA) → Blue4b'
  33. Mirror(Blue4a, SymA) → Blue4a'
  34. Segment(Blue4a', Blue4b') → RefBlue4
  35. Mirror(Blue3b, SymA) → Blue3b'
  36. Mirror(Blue3a, SymA) → Blue3a'
  37. Segment(Blue3a', Blue3b') → RefBlue3
  38. Mirror(Blue2b, SymA) → Blue2b'
  39. Mirror(Blue2a, SymA) → Blue2a'
  40. Segment(Blue2a', Blue2b') → RefBlue2
  41. Mirror(Blue1b, SymA) → Blue1b'
  42. Mirror(Blue1a, SymA) → Blue1a'
  43. Segment(Blue1a', Blue1b') → RefBlue1
  44. Defined(IndexOf[RefBlue1, List1]) → Match1
  45. Sequence(Sequence[(s, t), s, -14, 12], t, -8, 8) → ListDots
  46. If(NumSeg ≟ 1, Match1, NumSeg ≟ 6, Match6, NumSeg ≟ 7, Match7, NumSeg ≟ 8, Match8, NumSeg ≟ 9, Match9, Match10, NumSeg ≟ 2, Match2, NumSeg ≟ 3, Match3, NumSeg ≟ 4, Match4, NumSeg ≟ 5, Match5) → Match