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使用变化因子的减少

使用变化因子的减少
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2023-04-26 16:09
函数解析几何
所属专题 Prozentrechnung: Vermehrung und Verminderung
本范例演示了使用变化因子进行减少的过程。核心数学概念涉及百分比计算和变化因子的应用。通过使用GeoGebra命令如Sequence, Join, Shuffle等，可以动态展示变化因子在不同情况下的效果。适合初中7-8年级学生进行深入练习。

GeoGebra 命令及参数

  1. Sequence(Random[1, 2], m, 1, 110) → listVermehrung, {1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1}
  2. Join(Sequence[Shuffle[{1, 1, 1, 2, 3}], i, 1, 9]) → specialCase
  3. Shuffle(Sequence[Random[1, 9], i, 1, 110]) → randomNosForY, {5, 1, 9, 2, 2, 7, 2, 5, 1, 5, 4, 1, 9, 1, 3, 3, 1, 3, 4, 6, 5, 6, 7, 6, 2, 4, 5, 2, 2, 9, 4, 9, 5, 1, 9, 9, 8, 3, 9, 7, 9, 1, 1, 8, 2, 9, 5, 5, 7, 7, 6, 7, 8, 7, 4, 3, 7, 2, 8, 2, 1, 5, 9, 2, 2, 8, 3, 3, 2, 4, 8, 4, 5, 3, 4, 5, 4, 8, 5, 3, 3, 3, 9, 6, 8, 3, 7, 5, 3, 8, 2, 8, 8, 9, 7, 5, 6, 7, 3, 1, 4, 8, 4, 5, 2, 7, 6, 3, 7, 4}
  4. If(case ≟ 3, 0, Element[randomNosForY, Mod[questionCount, 100] + 1]) → numY
  5. Shuffle(Sequence[Random[1, 9], i, 1, 110]) → randomNosForZ, {6, 9, 8, 7, 3, 2, 7, 6, 1, 9, 9, 1, 8, 6, 9, 7, 6, 6, 7, 5, 3, 1, 7, 5, 8, 1, 6, 5, 8, 1, 2, 8, 9, 7, 7, 4, 4, 8, 2, 4, 4, 7, 8, 9, 1, 1, 1, 9, 1, 5, 4, 1, 6, 4, 9, 7, 3, 9, 2, 2, 4, 3, 1, 3, 7, 7, 1, 1, 6, 3, 7, 4, 2, 8, 2, 9, 5, 4, 4, 3, 4, 6, 8, 6, 4, 8, 5, 5, 5, 2, 1, 9, 6, 2, 1, 8, 8, 9, 4, 2, 9, 5, 3, 7, 9, 7, 9, 3, 4, 3}
  6. If(case ≟ 2, 0, randomNosForZ(Mod[questionCount, 100] + 1)) → numZ
  7. Shuffle(Sequence[Random[1, 3], i, 1, 110]) → listPosCorrect, {2, 3, 3, 2, 2, 3, 3, 2, 1, 2, 1, 1, 3, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 1, 1, 2, 1, 2, 2, 1, 3, 3, 1, 2, 3, 3, 1, 1, 2, 2, 3, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 3, 2, 2, 2, 3, 3, 1, 3, 1, 3, 3, 1, 3, 2, 2, 2, 1, 3, 3, 3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 3, 1, 2, 3, 2, 2, 1, 3}
  8. Sequence(FB0 - (m * (0, sizefb)), m, 0, 2) → listFBpoints
  9. If(a, listFBpoints(1), If[b, listFBpoints(2), listFBpoints(3)]) → FB
  10. Textfield(input1) → InputBox1
  11. Textfield(input2) → InputBox2
  12. Shuffle(Sequence[Random[0, 1], i, 1, 110]) → randomNosForX, {0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1}
  13. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  14. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  15. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  16. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  17. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  18. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  19. Zip(RandomElement[{1, 2, 3} \ {m}], m, listPosCorrect) → listPosWrong1
  20. Zip(RandomElement[{1, 2, 3} \ {m, n}], m, listPosCorrect, n, listPosWrong1) → listPosWrong2
  21. If(posCorrect ≟ 1, TextCorrect, If[posWrong1 ≟ 1, TextWrong1, TextWrong2]) → Text1
  22. If(posCorrect ≟ 2, TextCorrect, If[posWrong1 ≟ 2, TextWrong1, TextWrong2]) → Text2
  23. If(posCorrect ≟ 3, TextCorrect, If[posWrong1 ≟ 3, TextWrong1, TextWrong2]) → Text3

AI 绘图提示语参考

绘制一个展示减少过程的图形，包含随机生成的变化因子序列，用不同颜色或标记表示变化和特殊情况，并动态展示坐标点随因子变化的位置，适合7-8年级学生理解百分比计算和变化因子应用。
以上提示语为根据原始绘图命令整理而来，仅供参考。