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实验概率转盘 by Traci Weinstein

实验概率转盘 by Traci Weinstein
几何画板及绘图内容加载中，请稍等……
2020-06-05 23:56
圆向量概率统计几何作图滑块动画
①本范例通过动态转盘演示实验概率的随机现象；②涉及核心数学概念包括概率、加法、集合论、自然数、箱线图、对称性；③构造中运用了CountIf, Circle, Rotate, Vector, Line, OrthogonalLine, Intersect, CircleSector, Midpoint, IsInRegion, Sum, Element, TableText等GeoGebra命令与对象；④适合初中及以上学生用于理解概率统计与几何作图。

GeoGebra 命令及参数

  1. CountIf(x ≟ "orange", B2:B11) → E7
  2. CountIf(x ≟ "violet", B2:B11) → E6
  3. CountIf(x ≟ "green", B2:B11) → E5
  4. CountIf(x ≟ "yellow", B2:B11) → E4
  5. CountIf(x ≟ "red", B2:B11) → E3
  6. CountIf(x ≟ "blue", B2:B11) → E2
  7. Circle(A, B) → c
  8. Rotate(S0, (-(a°)), A) → C
  9. Vector(A, C) → u
  10. Line(B, A) → b
  11. OrthogonalLine(A, b) → e
  12. Intersect(c, e) → D, E
  13. CircleSector(A, E, B) → f
  14. Intersect(c, b) → F, G
  15. Midpoint(G, E) → H
  16. Line(A, H) → g
  17. Intersect(c, g) → I, J
  18. CircleSector(A, J, E) → h
  19. CircleSector(A, G, J) → k
  20. CircleSector(A, D, G) → p
  21. CircleSector(A, I, D) → q
  22. CircleSector(A, B, I) → r
  23. IsInRegion(C, f) → i
  24. IsInRegion(C, h) → j
  25. Sum(Sequence[(IsInRegion[C, Element[liste2, k]] * k), k, 1, 6]) → m
  26. Element(liste1, m) → texte1
  27. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}, {A8, B8}, {A9, B9}, {A10, B10}, {A11, B11}}, "|_") → text1
  28. TableText({{D1, E1, F1}, {D2, E2, F2}, {D3, E3, F3}, {D4, E4, F4}, {D5, E5, F5}, {D6, E6, F6}, {D7, E7, F7}}, "|_") → text2