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独立事件概率演示

独立事件概率演示
几何画板及绘图内容加载中，请稍等……
2018-07-24 22:00
解析几何概率统计几何作图
本范例演示了如何通过 GeoGebra 构造独立事件的概率计算。涉及的核心数学概念包括概率、独立事件、整数、百分比和数列。作图要点使用了 LaTeX、文本字段、If 条件判断等 GeoGebra 命令和对象，如 TryAnother、HowDidIDo、StudentAns 系列变量以及多个输入框和动作对象。适合高中阶段学习概率统计的学生使用。

GeoGebra 命令及参数

  1. LaTeX("Therefore\ the\ probability\ is") → Therefore
  2. LaTeX("Therefore,\, the\ total\ number\ of\\ favourable\ outcomes\ is") → ThereforeFav
  3. LaTeX("Therefore,\, the\ total\ number\ of\\ possible\ outcomes\ is") → ThereforePos
  4. Textfield(StudentAns3) → InputBox1
  5. Textfield(StudentAns6) → InputBox2
  6. Textfield(StudentAns7) → InputBox3
  7. Textfield(StudentAns1) → InputBox4
  8. Textfield(StudentAns2) → InputBox5
  9. Textfield(StudentAns4) → InputBox6
  10. Textfield(StudentAns5) → InputBox7
  11. LaTeX("\textbf{Instructions\text{:}}\ Type\ the\ numbers\ into\ the\ input\ boxes.") → Instructions2
  12. LaTeX("\checkmark") → Check1
  13. LaTeX("\checkmark") → Check2
  14. LaTeX("\checkmark") → Check3
  15. LaTeX("\checkmark") → Check4
  16. LaTeX("\checkmark") → Check5
  17. LaTeX("\checkmark") → Check6
  18. LaTeX("\checkmark") → Check7
  19. LaTeX("\times") → Wrong1
  20. LaTeX("\times") → Wrong2
  21. LaTeX("\times") → Wrong3
  22. LaTeX("\times") → Wrong4
  23. LaTeX("\times") → Wrong5
  24. LaTeX("\times") → Wrong6
  25. LaTeX("\times") → Wrong7
  26. LaTeX((((((((((((((("There\ are\ " * E1outcomes) * "\ outcomes\ for\ the\ ") * object1) * "\ and\ ") * E2outcomes) * "\ for\ the\ ") * object2) * ".\\ Therefore\ there\ are\ ") * E1outcomes) * "\times") * E2outcomes) * "=") * PosOutcomes) * "\ possible\ outcomes.")) → S1FBWrong
  27. If(E1Favoutcomes ≟ 1, "way", "ways") → way1
  28. If(E2Favoutcomes ≟ 1, "way", "ways") → way2
  29. If(E1Favoutcomes ≟ 1, "is", "are") → are1
  30. If(E2Favoutcomes ≟ 1, "is", "are") → are2
  31. LaTeX((((((((((((((((((((((((("There\ " * are1) * "\ ") * E1Favoutcomes) * "\ ") * way1) * "\ to\ ") * action1) * "\ ") * value1) * "\ and,\\ ") * E2Favoutcomes) * "\ ") * way2) * "\ to\ ") * action2) * "\ ") * value2) * ".\\ Therefore\ there\ are\ ") * E1Favoutcomes) * "\times") * E2Favoutcomes) * "=") * FavOutcomes) * "\ favourable\ outcomes.")) → S2FBDone
  32. LaTeX((((((("The\ probability\ is\ \dfrac{" * FavOutcomes) * "}{") * PosOutcomes) * "}") * or) * ".")) → S3FBWrong
  33. LaTeX("Part\ 1") → Part1
  34. LaTeX("Part\ 2") → Part2
  35. LaTeX("Part\ 3") → Part3
  36. LaTeX("\underline{Total\ Number\ of\ Possible\ Outcomes}") → TotalPosText
  37. LaTeX("\underline{Total\ Number\ of\ Favourable\ Outcomes}") → TotalFavText
  38. LaTeX((((((((((((event1 * "\ and\\ ") * event2) * ".\\ What\ is\ the\ probability\ of\ ") * action1a) * "\ ") * value1) * "\ and\\ ") * action2a) * "\ ") * value2) * "?")) → Instructions1
  39. LaTeX((((("Number\ of\ possible\ outcomes\ for\ the\\ " * first) * "") * thing1) * ":")) → Outcomes1a
  40. LaTeX((((("Number\ of\ possible\ outcomes\ for\ the\\ " * second) * "") * thing2) * ":")) → Outcomes1b
  41. LaTeX((((("Number\ of\ ways\ to\ " * action1) * "\\ ") * value1) * ":")) → Outcomes2a
  42. LaTeX((((("Number\ of\ ways\ to\ " * action2) * "\\ ") * value2) * ":")) → Outcomes2b
  43. LaTeX("Type\ a\ number\ into\ the\ input\ boxes\ before\ checking\ your\ work.") → S2FBNotStarted
  44. LaTeX("Type\ a\ number\ into\ the\ input\ box\ before\ checking\ your\ work.") → S3FBNotStarted