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分数与小数的转换

分数与小数的转换
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2023-05-08 16:38
不等式
所属专题 Bruchzahlen in endliche Dezimalzahlen umrechnen
本范例演示了如何将分数转换为小数，反之亦然。它涉及的核心数学概念是有理数和分数的表示。作图要点包括使用 GeoGebra 的 Join、If 和 Textfield 等命令。适合的学段或用途是中小学的数学教育，特别是对于理解分数和小数之间的关系。

GeoGebra 命令及参数

  1. Join({{1}, Shuffle[Sequence[2, maxexnum]], Join[Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, floor(110 / maxexnum)]]}) → listExNums
  2. If(exnum ≤ 4, 0, If[exnum ≟ 7, 1, 2]) → format
  3. Textfield(input6) → InputBox6
  4. Textfield(input5) → InputBox5
  5. Textfield(input3) → InputBox3
  6. Textfield(input1) → InputBox1
  7. Textfield(input2) → InputBox2
  8. Textfield(input4) → InputBox4
  9. Element({H1, H2, H3, H4, H5, H6, H7, H8}, exnum) → H
  10. If(format ≟ 0 ∨ step ≟ 0, (-2, 1.2), (-2, 0.7)) → E
  11. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {8, 3, 2, 5, 1, 3, 10, 2, 9, 6, 1, 8, 8, 8, 3, 10, 0, 1, 4, 1, 3, 6, 8, 0, 7, 9, 7, 2, 0, 9, 7, 10, 8, 2, 4, 1, 7, 5, 0, 2, 1, 5, 4, 7, 5, 7, 4, 3, 9, 1, 3, 2, 0, 10, 6, 6, 10, 2, 9, 4, 8, 9, 3, 2, 4, 1, 5, 2, 2, 9, 6, 10, 7, 0, 3, 9, 6, 3, 4, 4, 6, 9, 8, 5, 3, 6, 0, 8, 6, 1, 7, 4, 8, 3, 5, 6, 3, 3, 8, 5}
  12. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  13. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {3, 0, 9, 7, 1, 5, 7, 9, 10, 6, 6, 7, 3, 4, 0, 9, 0, 1, 3, 3, 1, 3, 10, 1, 1, 10, 1, 0, 1, 7, 1, 4, 10, 6, 2, 5, 2, 8, 0, 2, 0, 10, 5, 5, 1, 2, 10, 8, 3, 3, 4, 4, 9, 10, 8, 9, 9, 3, 3, 7, 0, 2, 9, 3, 9, 9, 1, 6, 4, 0, 3, 6, 9, 1, 9, 7, 1, 0, 9, 8, 4, 4, 4, 9, 1, 9, 4, 3, 8, 5, 9, 8, 8, 8, 5, 4, 8, 6, 9, 9}
  14. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  15. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  16. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  17. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  18. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  19. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  20. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  21. If(step ≟ 0, A0, Element[{A1, A2, A3, A4, A5, A6, A7, A8}, exnum]) → A
  22. If(step ≟ 0, S0, Element[{S1, S2, S3, S4, S5, S6, S7, S8}, exnum]) → S
  23. If(step ≟ 0, B0, Element[{B1, B2, B3, B4, B5, B6, B7, B8}, exnum]) → B
  24. If(step ≟ 0, T0, Element[{T1, T2, T3, T4, T5, T6, T7, T8}, exnum]) → T
  25. If(format ≠ 0 ∧ step ≠ 0, (5, 2.5), (5, 0.5)) → F

AI 绘图提示语参考

绘制一个展示分数和小数转换关系的图形，包含随机生成的数对，用线条连接相同的数，并用文本框显示数值，整体布局根据条件调整位置，体现数学概念。
以上提示语为根据原始绘图命令整理而来，仅供参考。