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三个数的算术演示

三个数的算术演示
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2017-11-22 16:58
函数概率统计几何作图
①本范例演示了三个数的算术运算与几何表示，通过动态交互展示数与形的关系；②涉及核心数学概念包括算术平均数、几何平均数、调和平均数、二项分布等；③作图要点运用了Shuffle, RandomElement, Sequence, Ellipse, Point, Intersect, Polygon, Element, If等GeoGebra命令与对象，实现随机数生成与图形构建；④适合高中及以上数学教学，用于概率统计与数形结合的教学演示。

GeoGebra 命令及参数

  1. Shuffle(numlist) → numsh, {44, 2, 14, 31, 7, 33, 1, 26, 49, 46, 8, 41, 10, 32, 20, 5, 24, 3, 40, 35, 37, 23, 34, 38, 4, 27, 16, 42, 18, 28, 9, 11, 43, 21, 25, 30, 50, 13, 15, 29, 39, 22, 12, 0, 47, 19, 45, 17, 6, 48, 36}
  2. Shuffle(list1) → list2, {2, 5, 4, 9, 6, 8, 7, 1, 3}
  3. RandomElement(list1) → a
  4. RandomElement(list1) → b
  5. RandomElement(list1) → c
  6. RandomElement(list1) → d
  7. RandomElement(list1) → e
  8. RandomElement(list1) → f
  9. RandomElement(list1) → g
  10. RandomElement(list1) → h
  11. RandomElement(list1) → i
  12. RandomElement(list1) → j
  13. RandomElement(list1) → k
  14. RandomElement(list1) → l
  15. RandomElement(list1) → m
  16. RandomElement(list1) → n
  17. RandomElement(list1) → o
  18. RandomElement(list1) → p
  19. RandomElement(list1) → q
  20. RandomElement(list1) → r
  21. RandomElement(list1) → s
  22. RandomElement(list1) → t
  23. Sequence(Segment[((3 * n), 0), ((3 * n), 21)], n, 0, 7) → L
  24. Sequence(Segment[(0, (3 * n)), (21, (3 * n))], n, 0, 7) → L1
  25. Ellipse(A, B, C) → c_1
  26. Point(yAxis) → D
  27. Point(L1) → E
  28. Point(xAxis) → F
  29. Intersect(xAxis, yAxis) → G
  30. Polygon(D, E, F, G) → q1, d_1, e_1, f_1, g_1
  31. Element(numsh, el) → number
  32. If(number < 10, (10, 22.2), (9.2, 22.2)) → H