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一元线性方程求解

一元线性方程求解
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2016-08-30 13:12
本范例随机生成一元线性方程，展示方程解的情况，包括唯一解、无解和无穷多解。通过GeoGebra命令如If, Remove, RandomElement等，动态生成方程并展示解法。适合初中及以上学生学习线性方程解法。

GeoGebra 命令及参数

  1. If(problemCount < 10, 0.5, If[problemCount < 20, 0.8, If[problemCount < 30, 1, If[problemCount < 40, 1.2, 1.5]]]) → rangeMultiplier
  2. If(SelectedElement[numberChoices] ≟ "All", RandomElement[numberOptions], SelectedElement[numberChoices]) → numberType
  3. If(numberType ≟ "Integer", 1, RandomElement[factorList]) → factor_1
  4. Remove(factorList, {factor_1}) → factorList_2
  5. If(numberType ≟ "Integer", 1, RandomElement[factorList_2]) → factor_2
  6. Remove(factorList_2, {factor_2}) → factorList_3
  7. If(numberType ≟ "Integer", 1, RandomElement[factorList_3]) → factor_3
  8. If(SelectedElement[answerChoices] ≟ "All", RandomElement[answerOptions], SelectedElement[answerChoices]) → answerType
  9. If(answerType ≟ "Many", seed_b, round(Random[(-1000 * rangeMultiplier), (1000 * rangeMultiplier)] / If[numberType ≟ "Integer", 50, If[numberType ≟ "Fraction", 100, 1]]) / If[numberType ≟ "Decimal", (2^(Random[1, 2]) * 5^(Random[1, 2])), 1]) → seed_d
  10. RandomElement({0, 0, 0, 1}) → leftDistribution
  11. If(answerType ≠ "One", seed_a, round(Random[(-1000 * rangeMultiplier), (1000 * rangeMultiplier)] / If[numberType ≟ "Integer", 50, If[numberType ≟ "Fraction", 100, 1]]) / If[numberType ≟ "Decimal", (2^(Random[1, 2]) * 5^(Random[1, 2])), 1]) → seed_c
  12. RandomElement({0, 0, 0, 1}) → rightDistribution
  13. If(seed_a ≟ 0, 1, seed_a) → a
  14. If(solutionText ≟ "Infinitely Many Solutions", "Identity", If[solutionText ≟ "No Solution", "no solution", solutionText]) → solutionAlternative
  15. RandomElement(factorList_4) → den_a
  16. RandomElement(factorList_4) → den_b
  17. RandomElement(factorList_4) → den_c
  18. If(numberType ≟ "Decimal", "" + display_a, FractionText[display_a / commonDenominator]) → aText
  19. If(numberType ≟ "Decimal", "" + (If[display_b < 0, (-display_b), display_b]), If[display_b < 0, FractionText[((-display_b)) / commonDenominator], FractionText[display_b / commonDenominator]]) → bText
  20. If(numberType ≟ "Decimal", "" + display_c, FractionText[display_c / commonDenominator]) → cText
  21. If(numberType ≟ "Decimal", "" + (If[display_d < 0, (-display_d), display_d]), If[display_d > 0, FractionText[display_d / commonDenominator], FractionText[((-display_d)) / commonDenominator]]) → dText
  22. RandomElement(factorList_4) → den_d
  23. Textfield(enteredAnswer) → AnswerBox

AI 绘图提示语参考

生成一个一元一次方程的解图示，包括整数、分数和小数形式的系数。随机生成方程，展示解的情况，包括唯一解、无解和无数解。方程形式为ax + b = cx + d，其中a、b、c、d是随机生成的整数、分数或小数。
以上提示语为根据原始绘图命令整理而来，仅供参考。