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圆形图案

圆形图案
几何画板及绘图内容加载中，请稍等……
2014-02-18 20:37
圆解析几何参数方程几何作图滑块动画
①本范例通过拖动点演示圆形的动态排列图案；②涉及核心数学概念包括圆、解析几何、参数方程、几何作图；③作图要点使用了GeoGebra命令Circle（圆）、Ray（射线）、Point（点）、Intersect（交点）、Segment（线段）；④适合高中及以上学生用于理解参数方程、几何作图及动态几何现象。

GeoGebra 命令及参数

  1. Circle((0, 0), 10) → c
  2. Ray((0, 0), (20, 0)) → r
  3. Point(r) → A
  4. Circle((10, 0), A) → A1
  5. Intersect(c, A1, 1) → B1
  6. Circle(B1, Radius[A1]) → A2
  7. Intersect(c, A2, 1) → B2
  8. Circle(B2, Radius[A2]) → A3
  9. Intersect(c, A3, 1) → B3
  10. Circle(B3, Radius[A3]) → A4
  11. Intersect(c, A4, 1) → B4
  12. Circle(B4, Radius[A4]) → A5
  13. Intersect(c, A5, 1) → B5
  14. Circle(B5, Radius[A5]) → A6
  15. Intersect(c, A6, 1) → B6
  16. Circle(B6, Radius[A6]) → A7
  17. Intersect(c, A7, 1) → B7
  18. Circle(B7, Radius[A7]) → A8
  19. Intersect(c, A8, 1) → B8
  20. Circle(B8, Radius[A8]) → A9
  21. Intersect(c, A9, 1) → B9
  22. Circle(B9, Radius[A9]) → A10
  23. Intersect(c, A10, 1) → B10
  24. Circle(B10, Radius[A10]) → A11
  25. Intersect(c, A11, 1) → B11
  26. Circle(B11, Radius[A11]) → A12
  27. Intersect(c, A12, 1) → B12
  28. Circle(B12, Radius[A12]) → A13
  29. Intersect(c, A13, 1) → B13
  30. Circle(B13, Radius[A13]) → A14
  31. Intersect(c, A14, 1) → B14
  32. Circle(B14, Radius[A14]) → A15
  33. Intersect(c, A15, 1) → B15
  34. Circle(B15, Radius[A15]) → A16
  35. Intersect(c, A16, 1) → B16
  36. Circle(B16, Radius[A16]) → A17
  37. Intersect(c, A17, 1) → B17
  38. Circle(B17, Radius[A17]) → A18
  39. Intersect(c, A18, 1) → B18
  40. Circle(B18, Radius[A18]) → A19
  41. Intersect(c, A19, 1) → B19
  42. Circle(B19, Radius[A19]) → A20
  43. Intersect(c, A20, 1) → B20
  44. Segment(B1, B2) → C2
  45. Segment(B2, B3) → C3
  46. Segment(B3, B4) → C4
  47. Segment(B4, B5) → C5
  48. Segment(B5, B6) → C6
  49. Segment(B6, B7) → C7
  50. Segment(B7, B8) → C8
  51. Segment(B8, B9) → C9
  52. Segment(B9, B10) → C10
  53. Segment(B10, B11) → C11
  54. Segment(B11, B12) → C12
  55. Segment(B12, B13) → C13
  56. Segment(B13, B14) → C14
  57. Segment(B14, B15) → C15
  58. Segment(B15, B16) → C16
  59. Segment(B16, B17) → C17
  60. Segment(B17, B18) → C18
  61. Segment(B18, B19) → C19
  62. Segment(B19, B20) → C20

AI 绘图提示语参考

画一个以原点为中心、半径为10的圆，再画一条从原点向右延伸的射线。在射线上取一点，以这点为圆心画一个圆与已知圆相交，得到交点。以交点为圆心，上一个圆的半径为半径再画圆，重复此过程多次，形成一系列嵌套的圆。最后用线段连接相邻的交点，展示动态的圆环图案。
以上提示语为根据原始绘图命令整理而来，仅供参考。