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矩形与菱形的拖拽变换

矩形与菱形的拖拽变换
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2017-05-24 21:41
多边形向量变换
本范例演示矩形和菱形的拖拽变换。核心数学概念包括几何变换、向量和旋转。通过使用GeoGebra命令如Join、Point、Line等，可以动态展示矩形和菱形的性质。适合初中及以上学生学习几何变换和向量。

GeoGebra 命令及参数

  1. Join(Sequence[Sequence[(i, j), i, -5, 10.5, 0.1], j, -3.5, 2.7, 0.1]) → GridSpace
  2. Point(GridSpace) → BRect
  3. Point(GridSpace) → A
  4. Line(A, BRect) → ABlineRect
  5. OrthogonalLine(BRect, ABlineRect) → BClineRect
  6. Point(BClineRect) → CRect
  7. OrthogonalLine(CRect, BClineRect) → CDlineRect
  8. Line(A, BClineRect) → ADlineRect
  9. Intersect(ADlineRect, CDlineRect) → DRect
  10. Polygon(A, BRect, CRect, DRect) → Rectangle, a, b, crect, drect
  11. Point(GridSpace) → BRhom
  12. Circle(A, BRhom) → CircleA
  13. Point(CircleA) → DRhom
  14. Circle(DRhom, A) → CircleD
  15. Circle(BRhom, A) → CircleB
  16. Intersect(CircleD, CircleB, 2) → CRhom
  17. Polygon(A, BRhom, CRhom, DRhom) → Rhombus, a_1, brhom, crhom, drhom
  18. Distance(A, C) → AClength
  19. Distance(B, D) → BDlength
  20. Segment(A, C) → AC
  21. Segment(B, D) → BD
  22. Intersect(AC, BD) → O
  23. Angle(A, O, B) → AngleBOA
  24. Angle(D, O, A) → AngleAOD
  25. Angle(C, O, D) → AngleDOC
  26. Angle(B, O, C) → AngleCOB
  27. Distance(O, A) → OA
  28. Midpoint(OAanglept, OBanglept) → AOBpoint
  29. Midpoint(OCanglept, OBanglept) → COBpoint
  30. Midpoint(ODanglept, OCanglept) → DOCpoint
  31. Midpoint(OAanglept, ODanglept) → AODpoint
  32. Circle(OAanglept, OBanglept, OCanglept) → AngleCircle
  33. Line(OAanglept, BD) → OAangleline
  34. Line(OCanglept, BD) → OCangleline
  35. Line(ODanglept, AC) → ODangleline
  36. Line(OBanglept, AC) → OBangleline
  37. Polygon(Intersect[OAangleline, ODangleline], Intersect[OCangleline, ODangleline], Intersect[OCangleline, OBangleline], Intersect[OAangleline, OBangleline]) → AngleSquare, f, g, h, i