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P4周界问题演示

P4周界问题演示
几何画板及绘图内容加载中，请稍等……
2018-11-15 15:20
多边形三角函数解析几何
所属专题 P4 4M1 Perimeter 周界
①本范例演示了如何利用GeoGebra绘制并分析几何图形的周界问题；②涉及的核心数学概念包括周长计算、几何变换、三角函数应用、均值定理、面积求解及参数曲线；③作图要点提炼自构造摘要，使用了Segment（线段）、Sequence（数列）、Polygon（多边形）等命令，以及ShowDots（显示点）、buttonGridDot（按钮网格点）、颜色对象（如Blue01a, Blue02a等）和ListDots（点列表）等对象；④适合高中阶段数学教学，用于几何作图与变换的实践与理解。

GeoGebra 命令及参数

  1. Segment(Blue01a, Blue01b) → Blue01
  2. Segment(Blue02a, Blue02b) → Blue02
  3. Segment(Blue03a, Blue03b) → Blue03
  4. Segment(Blue04a, Blue04b) → Blue04
  5. Segment(Red01a, Red01b) → Red01
  6. Segment(Red02a, Red02b) → Red02
  7. Segment(Red03a, Red03b) → Red03
  8. Segment(Red04a, Red04b) → Red04
  9. Segment(Blue05a, Blue05b) → Blue05
  10. Segment(Red05a, Red05b) → Red05
  11. Segment(Blue06a, Blue06b) → Blue06
  12. Segment(Red06a, Red06b) → Red06
  13. Sequence(Sequence[(s, t), s, 0, 25], t, -5, 13) → ListDots
  14. Segment(Blue07a, Blue07b) → Blue07
  15. Segment(Blue08a, Blue08b) → Blue08
  16. Segment(Blue09a, Blue09b) → Blue09
  17. Segment(Blue10a, Blue10b) → Blue10
  18. Segment(Blue11a, Blue11b) → Blue11
  19. Segment(Blue12a, Blue12b) → Blue12
  20. Segment(Red07a, Red07b) → Red07
  21. Segment(Red08a, Red08b) → Red08
  22. Segment(Red09a, Red09b) → Red09
  23. Segment(Red10a, Red10b) → Red10
  24. Segment(Red11a, Red11b) → Red11
  25. Segment(Red12a, Red12b) → Red12
  26. Segment(Green01a, Green01b) → Green01
  27. Segment(Green02a, Green02b) → Green02
  28. Segment(Green03a, Green03b) → Green03
  29. Segment(Green04a, Green04b) → Green04
  30. Segment(Green05a, Green05b) → Green05
  31. Segment(Green06a, Green06b) → Green06
  32. Segment(Green07a, Green07b) → Green07
  33. Segment(Green08a, Green08b) → Green08
  34. Segment(Green09a, Green09b) → Green09
  35. Segment(Green10a, Green10b) → Green10
  36. Segment(Green11a, Green11b) → Green11
  37. Segment(Green12a, Green12b) → Green12
  38. Segment(Green13a, Green13b) → Green13
  39. Segment(Green14a, Green14b) → Green14
  40. Polygon(VPoly1Fa, VPoly1Fb, VPoly1Fc, VPoly1Fd) → Poly1F, SPoly1Fa, SPoly1Fb, SPoly1Fc, SPoly1Fd
  41. Polygon(VPoly2Fa, VPoly2Fb, VPoly2Fc, VPoly2Fd, VPoly2Fe, VPoly2Ff) → Poly2F, SPoly2Fa, SPoly2Fb, SPoly2Fc, SPoly2Fd, SPoly2Fe, SPoly2Ff
  42. Polygon(VPoly1Ma, VPoly1Mb, VPoly1Mc, VPoly1Md) → Poly1M, SPoly1Ma, SPoly1Mb, SPoly1Mc, SPoly1Md
  43. Polygon(VPoly2Ma, VPoly2Mb, VPoly2Mc, VPoly2Md, VPoly2Me, VPoly2Mf) → Poly2M, SPoly2Ma, SPoly2Mb, SPoly2Mc, SPoly2Md, SPoly2Me, SPoly2Mf

AI 绘图提示语参考

绘制一个由多个蓝色、红色和绿色线段组成的几何图形，这些线段形成两个多边形。首先绘制一系列蓝色线段，然后绘制一系列红色线段，接着绘制一系列绿色线段。最后，使用这些线段分别构成两个多边形，一个由四个顶点组成，另一个由六个顶点组成。
以上提示语为根据原始绘图命令整理而来，仅供参考。