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梯形的性质 by Math Teachers' Adventure of ICT Integration

梯形的性质 by Math Teachers' Adventure of ICT Integration
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2017-10-10 20:33
多边形角几何作图
本范例通过几何作图展示梯形的性质，涉及核心数学概念包括梯形的定义、高、中位线等。使用了Segment, Point, Line, Polygon, OrthogonalLine, Intersect, CircleArc, Angle等GeoGebra命令。适合初中及以上学生学习梯形的相关性质。

GeoGebra 命令及参数

  1. Segment(A_1, B_1) → a
  2. Segment(C_1, D_1) → b
  3. Point(Circle[E, h_1]) → F
  4. Segment(E, F) → h_2
  5. Line(F, a) → d
  6. Point(d) → G
  7. Point(d) → H
  8. Segment(G, H) → e
  9. Point(e) → D
  10. Point(a) → A
  11. Segment(D, A) → f
  12. Point(b) → B
  13. Segment(A, B) → g
  14. Point(d) → L
  15. Point(d) → M
  16. Segment(L, M) → i
  17. Point(i) → C
  18. Segment(D, C) → j
  19. Segment(C, B) → k
  20. Polygon(A, B, C, D) → poly1, j_1, k_1, n, i_1
  21. OrthogonalLine(D, g) → l
  22. Intersect(l, g) → I
  23. Point(g) → J
  24. Point(h_2) → N
  25. CircleArc(E, K, N) → c
  26. Segment(A, C) → r
  27. Segment(D, B) → s
  28. Angle(poly1) → α, β, γ, δ
  29. OrthogonalLine(D, g) → t
  30. Intersect(g, j_1) → O
  31. Intersect(g, j_1) → P
  32. Intersect(t, g) → Q
  33. Segment(D, Q) → h