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Omm Nom 分数

Omm Nom 分数
几何画板及绘图内容加载中，请稍等……
2016-10-20 06:04
圆几何作图
该范例通过分数的概念，展示了分数在几何图形中的应用。涉及的核心数学概念包括分数、圆、对称性。通过使用GeoGebra命令如Sequence、Point、Ray、Segment等，构建了一系列几何对象，如点、线段、圆等。适合初中及以上学生学习分数和几何图形的关系。

GeoGebra 命令及参数

  1. Sequence(Circle[B, k], k, 1, 20) → list1
  2. Sequence((x(A) + k, y(A)), k, 1, 20) → list2
  3. Point(list2) → C
  4. Ray(A, C) → f
  5. Segment(A, C) → g
  6. Point(list1) → D
  7. Ray(B, D) → h
  8. Segment(B, D) → i
  9. Sequence((x(B) + (k / i * a), y(B) + (k / i * b)), k, 1, i - 1) → BDpoints
  10. Sequence((x(A) + (k / g * c), y(A) + (k / g * d)), k, 1, g - 1) → ACpoints
  11. Sequence((x(A) + (k / i * c), y(A) + (k / i * d)), k, 1, i - 1) → divPoints
  12. Sequence(Segment[BDpoints(k), divPoints(k)], k, 1, Length[divPoints]) → list3
  13. Segment(D, C) → j
  14. OrthogonalLine(A, g) → k
  15. OrthogonalLine(C, g) → l
  16. Circle(A, 1) → e
  17. Intersect(e, k, 2) → E
  18. OrthogonalLine(E, k) → m
  19. Intersect(l, m) → F
  20. Polygon(A, E, F, C) → poly1, a_1, e_1, f_1, c_1
  21. OrthogonalLine(B, i) → n
  22. OrthogonalLine(D, i) → p
  23. Circle(B, 1) → q
  24. Intersect(q, n, 1) → G
  25. OrthogonalLine(G, n) → r
  26. Intersect(p, r) → H
  27. Polygon(G, B, D, H) → poly2, g_1, b_1, d_1, h_1
  28. Segment(I, J) → s
  29. Sequence(Segment[divPoints(k), (x(divPoints(k)), y(divPoints(k) + 1))], k, 2, Length[divPoints]) → list4
  30. Line(A, C) → t
  31. Line(B, D) → i_1
  32. Angle(i_1, t) → β
  33. Sequence((x(BDpoints(k)) - sin(β), y(BDpoints(k)) - cos(β)), k, 1, Length[BDpoints]) → list5
  34. Sequence(Segment[BDpoints(k), list5(k)], k, 1, Length[BDpoints]) → denomLines
  35. Polygon(K, L, N, M) → poly3, k_1, l_1, n_1, m_1
  36. FractionText(o) → text1
  37. Sequence(Segment[(x(K) + k / Area[poly2], y(K)), (x(K) + k / Area[poly2], y(K) + 1)], k, 1, Area[poly2]) → list6