解不等式与绝对值方程：随机生成练习与即时反馈

GeoGebra 命令及参数

1. Random(-10, 10) → seed_4
2. Random(-10, 10) → seed_3
3. Random(-10, 10) → seed_2
4. If(seed_2 ≟ 0, 1, seed_2) → abs_b
5. Random(1, 15) → seed_5
6. Random(1, 100) → absDifficulty
7. If((absDifficulty > 10) ∧ (absDifficulty < 60), seed_4, 0) → abs_d
8. If(absDifficulty < 20, Max[3, seed_1], 1) → abs_a
9. If(Random[1, 50] > 42, seed_4, (seed_5 * abs_a)) → abs_e
10. Simplify((abs_a * abs((abs_b * x) + abs_c)) + abs_d) → absFunction
11. Random(1, 4) → inequalityType
12. If(inequalityType ≟ 1, "\lt", If[inequalityType ≟ 2, "\gt", If[inequalityType ≟ 3, "\geq", "\leq"]]) → symbol_{inequality}
13. Random(1, 2) → variableSide
14. If(SelectedElement[answerSymbol] ≟ "Greater Than", "\gt", If[SelectedElement[answerSymbol] ≟ "Less Than", "\lt", If[SelectedElement[answerSymbol] ≟ "Less Than Or Equal To", "\leq", "\geq"]]) → answerSymbolText
15. If(answerLeft ≟ "x", same(answerNumber_{right}, solution_{inequality}), If[answerRight ≟ "x", same(answerNumber_{left}, solution_{inequality}), false]) → correctNumber_{inequality}
16. SelectedElement(problemTypeOptions) → problemChoice
17. If(problemChoice ≟ "All", {"Inequality", "Absolute Value"}, {problemChoice}) → problemTypeList
18. RandomElement(problemTypeList) → problemType
19. If(variableSide ≟ 1, seed_1 + "x" + (If[seed_2 < 0, "-" + ((-seed_2)), If[seed_2 > 0, "+" + seed_2, ""]]), seed_3 + "") → leftSide_{inequality}
20. If(variableSide ≟ 2, seed_1 + "x" + (If[seed_2 < 0, "-" + ((-seed_2)), If[seed_2 > 0, "+" + seed_2, ""]]), seed_3 + "") → rightSide_{inequality}
21. Textfield(answerLeft) → leftAnswerBox
22. Textfield(answerRight) → rightAnswerBox
23. FractionText(solution_{inequality}) → solutionFraction_{inequality}
24. If(variableSide ≟ 1 ∧ (seed_1 > 0) ∨ variableSide ≟ 2 ∧ (seed_1 < 0), If[answerLeft ≟ "x", answerSymbolText ≟ symbol_{inequality}, answerSymbolText ≟ Element[answerSymbolList, 5 - IndexOf[symbol_{inequality}, answerSymbolList]]], If[answerRight ≟ "x", answerSymbolText ≟ symbol_{inequality}, answerSymbolText ≟ Element[answerSymbolList, 5 - IndexOf[symbol_{inequality}, answerSymbolList]]]) → correctSymbol_{inequality}
25. Textfield(answerLeft_{abs}) → inputBox1
26. Textfield(answerRight_{abs}) → inputBox2