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概率词典

概率词典
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2025-07-07 14:29
数列解析几何概率统计
所属专题 Wahrscheinlichkeitsrechnung - Einführung
这个范例通过互动方式帮助学生理解概率的概念。它涉及概率统计的核心数学概念，通过随机事件和概率计算来展示。使用了GeoGebra中的Join, SelectedIndex, Point, Textfield, RandomElement, Sequence, If等命令进行构造。适合7-8年级的学生学习概率的基本概念。

GeoGebra 命令及参数

  1. Join({{20}, Sequence[Random[10, 30], m, 1, 110]}) → listAnimationLength
  2. SelectedIndex(DropDown2) → input2
  3. SelectedIndex(DropDown1) → input1
  4. SelectedIndex(DropDown3) → input3
  5. SelectedIndex(DropDown6) → input6
  6. SelectedIndex(DropDown7) → input7
  7. Point(Line[Pos2R, yAxis]) → Pos3R
  8. Textfield(input1) → Eingabefeld1
  9. Textfield(input2) → Eingabefeld2
  10. Point(Line[BuchZu1, xAxis]) → BuchZu2
  11. Point(Line[BuchOffen1, xAxis]) → BuchOffen2
  12. Textfield(input4) → Eingabefeld4
  13. Point(Line[PDice1, xAxis]) → PDice2
  14. Point(Line[Pos2L, yAxis]) → Pos4L
  15. Textfield(input8) → Eingabefeld8
  16. Textfield(input9) → Eingabefeld9
  17. Textfield(input10) → Eingabefeld10
  18. SelectedIndex(DropDown5) → input5
  19. Join({Sequence[PFB + (m * (0, fby - 0.1)), m, 0, 2], Sequence[PFB + (0, (3 * fby) - 0.3) + (m * (0, (0.5 * fby) - 0.1)), m, 0, 1]}) → listPFB
  20. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
  21. Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
  22. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, RasterMaxX / RasterStepXY, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, RasterMaxY / RasterStepXY, RasterMaxY / RasterStepXY]}) → RasterAussen
  23. Textfield(input11) → Eingabefeld11
  24. RandomElement(Sequence[-20, 20] \ Sequence[1, 6]) → sol11
  25. Sequence(Random[1, 11], m, 1, animationLength) → listDrehenPics, {8, 3, 11, 11, 6, 6, 5, 7, 10, 8, 4, 6}
  26. Sequence(Random[1, 6], m, 1, 110) → listRandomNums, {6, 2, 3, 4, 4, 2, 3, 5, 3, 3, 4, 1, 4, 2, 2, 1, 2, 1, 5, 4, 1, 1, 6, 4, 5, 1, 6, 2, 6, 4, 5, 5, 2, 2, 2, 4, 4, 5, 6, 6, 4, 2, 2, 6, 3, 2, 5, 5, 3, 6, 2, 1, 4, 1, 1, 3, 6, 2, 6, 6, 4, 4, 2, 5, 2, 6, 2, 6, 6, 1, 4, 6, 6, 2, 2, 3, 5, 3, 3, 2, 2, 1, 4, 4, 1, 3, 2, 6, 5, 5, 6, 3, 2, 4, 5, 5, 5, 5, 4, 1, 1, 3, 2, 4, 2, 6, 6, 2, 3, 3}
  27. If(anim ≟ 0, 0, listDrehenPics(anim)) → drehenPic

AI 绘图提示语参考

绘制一个概率学习交互界面，包含多个下拉菜单和文本输入框，用于选择或输入数值。界面中有一个骰子动画区域，显示随机点数，并有一个旋转图片列表。同时绘制一个坐标网格，带有字母和数字标注，用于概率坐标定位。界面中还有多个点，分别位于坐标轴和线段上，表示概率结果的位置。整体布局包含多个标签和按钮，用于触发随机事件和显示概率计算结果。
以上提示语为根据原始绘图命令整理而来，仅供参考。