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容积单位换算练习 - 水平1（小数）

容积单位换算练习 - 水平1（小数）
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2023-02-27 15:13
函数数列不等式
所属专题 Wiederholung: Flächen- und Raummaße
① 本范例是一个交互式数学练习，用于演示容积（Hohlmaße）单位之间的换算，例如升、毫升、立方分米等，并支持小数输入。② 核心数学概念是度量单位换算，特别是容积单位的十进制关系，以及小数运算。③ 作图要点：使用GeoGebra的Sequence、Element、If、Textfield、Defined、Shuffle等命令构建随机题目生成器，包含随机数、随机单位、输入框、验证按钮、反馈提示等对象，实现动态出题与即时判断。④ 适合小学5-6年级学生，用于课堂练习或自主复习，培养单位换算能力和小数计算技能。

GeoGebra 命令及参数

  1. Sequence(If[¬allowDecimalNumbers, Random[1, 1000], Random[1, 10000] / Element[{10, 100, 1000}, Random[1, 3]]], i, 1, 100) → randomNumbers
  2. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  3. Sequence(Random[1, Length[numberMatchingUnits]], i, 1, 100) → randomUnitsLeft, {2, 5, 2, 1, 3, 5, 3, 4, 5, 5, 5, 2, 5, 3, 3, 4, 3, 1, 1, 1, 2, 2, 1, 5, 1, 3, 4, 4, 1, 5, 4, 4, 2, 3, 4, 2, 1, 5, 1, 2, 1, 4, 1, 4, 3, 3, 5, 2, 4, 5, 2, 5, 4, 3, 1, 5, 4, 1, 5, 1, 5, 4, 1, 3, 2, 1, 3, 2, 1, 1, 4, 1, 4, 3, 5, 2, 3, 4, 5, 4, 4, 4, 5, 5, 2, 1, 1, 4, 3, 5, 1, 1, 2, 5, 1, 5, 1, 4, 4, 1}
  4. Element(randomUnitsLeft, Mod[questionCount, Length[randomUnitsLeft]] + 1) → actualUnitLeft
  5. Element(allowedUnits, actualUnitLeft) → actualAllowedUnits
  6. Element(actualAllowedUnits, Random[2, Length[actualAllowedUnits]]) → actualUnitRightInfo
  7. Element(actualUnitRightInfo, 1) → actualUnitRight
  8. Element(actualUnitRightInfo, 2) → actualUnitRightFactor
  9. If(unitLeftSmaller, round(((randomNumber * actualUnitRightFactor) * 1000)) / 1000, randomNumber) → valueRight
  10. If(questionCount ≟ 1, correct1, If[questionCount ≟ 2, correct2, If[questionCount ≟ 3, correct3, If[questionCount ≟ 4, correct4, If[questionCount ≟ 5, correct5, If[questionCount ≟ 6, correct6, If[questionCount ≟ 7, correct7, If[questionCount ≟ 8, correct8, If[questionCount ≟ 9, correct9, If[questionCount ≟ 10, correct10]]]]]]]]]) → correct
  11. Textfield(inputNumber) → inputBox1
  12. Defined(inputNumber) → clickableBtnValidate
  13. If(unitLeftSmaller, randomNumber, round(((randomNumber * actualUnitRightFactorInvers) * 1000)) / 1000) → valueLeft
  14. Shuffle(Sequence[RandomElement[examplesList], i, 1, 100]) → randomExamplesList, {"80 ml", "123 L", "2,3 hl", "5 820 ml", "10,8 hl", "2,3 hl", "9,2 L", "2,3 hl", "9,2 L", "5 820 ml", "320 ml", "7 L", "4,78 L", "5 820 ml", "320 ml", "9,2 L", "9,2 L", "9,2 L", "4,78 L", "80 ml", "9,2 L", "10,8 hl", "320 ml", "80 ml", "2,3 hl", "54 L", "2,3 hl", "7 L", "9,2 L", "123 L", "80 ml", "54 L", "2,3 hl", "80 ml", "4,78 L", "9,2 L", "320 ml", "7 L", "80 ml", "4,78 L", "54 L", "320 ml", "54 L", "320 ml", "4,78 L", "9,2 L", "54 L", "320 ml", "2,3 hl", "54 L", "4,78 L", "80 ml", "4,78 L", "9,2 L", "2,3 hl", "10,8 hl", "9,2 L", "9,2 L", "54 L", "320 ml", "9,2 L", "5 820 ml", "7 L", "7 L", "9,2 L", "80 ml", "4,78 L", "4,78 L", "54 L", "320 ml", "54 L", "2,3 hl", "123 L", "54 L", "2,3 hl", "9,2 L", "5 820 ml", "10,8 hl", "7 L", "7 L", "2,3 hl", "123 L", "54 L", "9,2 L", "5 820 ml", "123 L", "7 L", "10,8 hl", "7 L", "7 L", "10,8 hl", "10,8 hl", "4,78 L", "80 ml", "54 L", "9,2 L", "80 ml", "9,2 L", "4,78 L", "80 ml"}
  15. Shuffle(questionCountNumber) → questionCountNumberNew, {10, 1, 6, 3, 2, 9, 8, 7, 4, 5}

AI 绘图提示语参考

画一个包含各种体积单位的交互式练习，展示体积单位之间的转换，包括升、毫升、立方厘米等，涉及小数运算。练习中包含随机生成的问题，用户需要输入答案，系统会提供反馈。图形中包含输入框、验证按钮、反馈信息等元素，用户可以通过点击验证按钮来检查答案的正确性。
以上提示语为根据原始绘图命令整理而来，仅供参考。