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菱形探索 by HGrega

菱形探索 by HGrega
几何画板及绘图内容加载中，请稍等……
2016-03-17 21:44
多边形角几何作图
①本范例演示菱形的几何性质与相关图形的构建；②涉及核心数学概念包括多边形、角、距离、几何作图等；③通过 GeoGebra 命令如线段、角平分线、交点、圆、多边形、角度、距离等完成菱形及相关图形的绘制；④适合初中及以上学生用于学习平面几何、几何作图及图形性质探索。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. LineBisector(a) → b
  3. Intersect(b, a) → C
  4. Circle(C, D) → c
  5. Intersect(c, b, 1) → E
  6. Intersect(c, b, 2) → F
  7. Segment(A, F) → d
  8. Segment(F, B) → e
  9. Segment(A, E) → f
  10. Segment(E, B) → g
  11. Polygon(F, A, E, B) → poly1, f_1, a_1, e_1, b_1
  12. Angle(poly1) → α, β, γ, δ
  13. Segment(A, B) → h
  14. Segment(E, F) → i
  15. Intersect(b, a) → G
  16. Distance(A, C) → distanceAC
  17. Distance(F, C) → distanceFC
  18. Distance(B, C) → distanceBC
  19. Distance(E, C) → distanceEC
  20. Polygon(F, A, C) → poly2, c_1, f_2, a_2
  21. Polygon(F, C, B) → poly3, b_2, f_3, c_2
  22. Polygon(C, B, E) → poly4, e_2, c_3, b_3
  23. Polygon(C, E, A) → poly5, a_3, c_4, e_3
  24. Angle(poly2) → ε, ζ, η
  25. Angle(poly3) → θ, ι, κ
  26. Angle(A, E, C) → λ
  27. Angle(B, E, C) → μ
  28. Angle(C, B, E) → ν
  29. Angle(C, A, E) → ξ
  30. Angle(A, C, E) → ο
  31. Angle(B, C, E) → ρ