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旋转与放缩变换

旋转与放缩变换
几何画板及绘图内容加载中，请稍等……
2016-01-20 06:43
圆多边形变换
该范例演示了旋转与放缩变换，涉及圆、多边形等几何图形。通过使用Polygon、Rotate等命令，可以构造出旋转和放缩后的图形。适合初中及以上学生学习几何变换。

GeoGebra 命令及参数

  1. Polygon(A, B, D, E, F) → poly1, a, b, d_1, e, f_1
  2. Rotate(Polygon[Dilate[A, f, C], Dilate[B, f, C], Dilate[D, f, C], Dilate[E, f, C], Dilate[F, f, C]], d, C) → A1
  3. Rotate(Dilate[A1, f, C], d, C) → A2
  4. Rotate(Dilate[A2, f, C], d, C) → A3
  5. Rotate(Dilate[A3, f, C], d, C) → A4
  6. Rotate(Dilate[A4, f, C], d, C) → A5
  7. Rotate(Dilate[A5, f, C], d, C) → A6
  8. Rotate(Dilate[A6, f, C], d, C) → A7
  9. Rotate(Dilate[A7, f, C], d, C) → A8
  10. Rotate(Dilate[A8, f, C], d, C) → A9
  11. Polygon(G, H, I) → poly2, i, g, h
  12. Rotate(Polygon[Dilate[G, f, C], Dilate[H, f, C], Dilate[I, f, C]], d, C) → B1
  13. Rotate(Dilate[B1, f, C], d, C) → B2
  14. Rotate(Dilate[B2, f, C], d, C) → B3
  15. Rotate(Dilate[B3, f, C], d, C) → B4
  16. Rotate(Dilate[B4, f, C], d, C) → B5
  17. Rotate(Dilate[B5, f, C], d, C) → B6
  18. Rotate(Dilate[B6, f, C], d, C) → B7
  19. Rotate(Dilate[B7, f, C], d, C) → B8
  20. Rotate(Dilate[B8, f, C], d, C) → B9
  21. Rotate(Dilate[A9, f, C], d, C) → A10
  22. Rotate(Dilate[A10, f, C], d, C) → A11
  23. Rotate(Dilate[A11, f, C], d, C) → A12
  24. Rotate(Dilate[A12, f, C], d, C) → A13
  25. Rotate(Dilate[A13, f, C], d, C) → A14
  26. Rotate(Dilate[A14, f, C], d, C) → A15
  27. Rotate(Dilate[B9, f, C], d, C) → B10
  28. Rotate(Dilate[B10, f, C], d, C) → B11
  29. Rotate(Dilate[B11, f, C], d, C) → B12
  30. Rotate(Dilate[B12, f, C], d, C) → B13
  31. Rotate(Dilate[B13, f, C], d, C) → B14
  32. Rotate(Dilate[B14, f, C], d, C) → B15

AI 绘图提示语参考

绘制一个五边形ABCDE，然后围绕点C进行旋转和放缩变换，每次旋转角度为d，放缩比例为f。接着绘制一个三角形GHI，同样围绕点C进行旋转和放缩变换，每次旋转角度为d，放缩比例为f。最后，将变换后的图形A9和B9再次进行旋转和放缩变换，生成最终的图形A15和B15。
以上提示语为根据原始绘图命令整理而来，仅供参考。