矩形性质演示 by Math Teachers' Adventure of ICT Integration

矩形性质演示 by Math Teachers' Adventure of ICT Integration
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2017-10-10 20:32
①本范例演示矩形的几何性质,包括对边平行、对角线相等、内角为直角等;②涉及核心数学概念有平行线、对角线、角度、多边形构造;③作图要点:使用 Corner, Segment, Point, OrthogonalLine, Intersect, Polygon, Angle 等命令构造矩形并验证其性质;④适合初中及以上学生学习和理解多边形的基本性质,也可用于数学教学演示。

GeoGebra 命令及参数

  1. Corner(5) → I
  2. Segment(A, B) → a
  3. Point(a) → C
  4. Segment(D, E) → b
  5. Point(b) → F
  6. Segment(C, F) → c
  7. OrthogonalLine(C, c) → d
  8. OrthogonalLine(F, c) → e
  9. Point(e) → G
  10. Point(e) → H
  11. Segment(G, H) → f
  12. Point(f) → J
  13. OrthogonalLine(J, d) → g
  14. Intersect(d, g) → K
  15. Polygon(C, F, J, K) → Vieleck1, c_1, f_1, j, k
  16. Segment(C, J) → h
  17. Segment(F, K) → i
  18. Angle(h, i) → α