分数简化移动版 by Linda Fahlberg-Stojanovska

分数简化移动版 by Linda Fahlberg-Stojanovska
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2011-12-14 06:26
①本范例演示分数简化的过程与结果;②涉及核心数学概念包括分数约分、最大公约数、基本几何图形操作;③构造要点:使用了Segment(线段)、Ray(射线)、Point(点)、Sequence(序列)、Element(元素)、Polygon(多边形)等GeoGebra命令;④适合初中及以上数学学习者,用于理解分数基本性质及几何直观。

GeoGebra 命令及参数

  1. Segment(A, B) → a_1
  2. Segment(B, C) → b_1
  3. Segment(C, D) → c_1
  4. Segment(D, A) → d_1
  5. Ray(D, C) → e
  6. Point(e) → E
  7. Segment(E, F) → e_1
  8. Segment(F, G) → f_1
  9. Segment(G, H) → g_1
  10. Segment(H, E) → h_1
  11. Sequence(A + t * (B - A), t, 0, 1, 1 / b) → L1
  12. Sequence(D + t * (C - D), t, 0, 1, 1 / b) → L2
  13. Sequence(H + t * (G - H), t, 0, 1, 1 / d) → L3
  14. Sequence(E + t * (F - E), t, 0, 1, 1 / d) → L4
  15. Sequence(Segment[Element[L1, k], Element[L2, k]], k, 2, b) → L5
  16. Sequence(Segment[Element[L3, k], Element[L4, k]], k, 2, d) → L6
  17. Element(L1, a + 1) → T1
  18. Element(L2, a + 1) → T2
  19. Polygon(A, T1, T2, D) → poly1, a_2, t1, t2, d_2
  20. Element(L3, c + 1) → T3
  21. Element(L4, c + 1) → T4
  22. Polygon(E, T4, T3, H) → poly2, e_2, t4, t3, h_2