探索平行四边形 by Jay Lietzow

探索平行四边形 by Jay Lietzow
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2015-03-21 00:09
①本范例演示平行四边形的几何性质与构造方法;②涉及核心数学概念包括平行四边形定义、向量、坐标几何、角度与边长关系;③作图要点提炼自GeoGebra命令:Line(线段)、Distance(距离)、Midpoint(中点)、Polygon(多边形)、Angle(角度);④适合初中及以上数学学习者,用于理解平行四边形的基本属性与作图技巧。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. Distance(A, B) → distanceAB
  3. Midpoint(A, B) →
  4. Line(A, C) → e
  5. Line(C, a) → b
  6. Line(B, D) → f
  7. Polygon(A, C, D, B) → poly1, a_1, c, d, b_1
  8. Midpoint(A, B) →
  9. Midpoint(C, D) →
  10. Midpoint(A, C) →
  11. Midpoint(B, D) →
  12. Angle(C, A, B) → α
  13. Angle(A, B, D) → β
  14. Angle(B, D, C) → γ
  15. Angle(D, C, A) → δ
  16. Midpoint(A, B) →
  17. Midpoint(B, D) →
  18. Midpoint(C, D) →
  19. Midpoint(A, C) →