CPCTC

CPCTC
几何画板及绘图内容加载中,请稍等……
2016-06-14 08:25
该范例演示了全等三角形的性质,涉及全等三角形对应边相等、对应角相等的核心概念。通过使用GeoGebra命令如Polygon、Line、Vector等进行几何作图,展示了三角形的全等变换过程。适合初中及以上学生学习几何变换和全等三角形的相关知识。

GeoGebra 命令及参数

  1. Polygon(A, B, C) → PreImage, c, a, b
  2. Line(D, E) → ReflectionLine
  3. Line(G, H) → TranslationDirection
  4. Vector(G, G + (TranslationMagnitude * Vector[G, H])) → TranslationVector
  5. Translate(A, TranslationVector) → A'
  6. Translate(B, TranslationVector) → B'
  7. Translate(C, TranslationVector) → C'
  8. Polygon(A', B', C') → translated, c', a', b'
  9. Rotate(A', RotationAngle, RotationCenter) → A''
  10. Rotate(B', RotationAngle, RotationCenter) → B''
  11. Rotate(C', RotationAngle, RotationCenter) → C''
  12. Polygon(A'', B'', C'') → translated', c'', a'', b''
  13. Mirror(A'', ReflectionLine) → A'''
  14. Mirror(B'', ReflectionLine) → B'''
  15. Mirror(C'', ReflectionLine) → C'''
  16. Polygon(A''', B''', C''') → translated'', c''', a''', b'''