反函数代数测验：交互式练习与自动批改

GeoGebra 命令及参数

1. Textfield(stdom) → InputBox2
2. GCD({f4c, (f4c * f4b) + f4a}) → f4gcd
3. Simplify(x^(2) + (fa * x) + fb) → f2
4. Shuffle(qlist) → qsh, {4, 2, 5, 3, 1}
5. If(question ≟ 1, Element[qsh, 1], If[question ≟ 2, Element[qsh, 2], If[question ≟ 3, Element[qsh, 3], If[question ≟ 4, Element[qsh, 4], Element[qsh, 5]]]]) → qQ
6. GCD({fa, fb}) → f5gcd
7. Invert(f5) → f5inv
8. GCD(fa, fb) → f1gcd
9. Simplify(((fa * x) + fb) / f1gcd) → f1
10. Invert(f1) → f1inv
11. Simplify((((x * f4gcd) * f4b) + f4a - (f4c * f4b)) / ((f4gcd * x) - f4c)) → f4inv
12. If(qQ ≟ 1, f1inv, If[qQ ≟ 2, f2inv, If[qQ ≟ 3, f3inv, If[qQ ≟ 4, f4inv, f5inv]]]) → finvans
13. Simplify((f4a / (x - f4b) + f4c) / f4gcd) → f4
14. If(qQ ≟ 1, f1, If[qQ ≟ 2, f2, If[qQ ≟ 3, f2, If[qQ ≟ 4, f4, If[qQ ≟ 5, f5]]]]) → f
15. FractionText(f4dom) → f3domtxt
16. FractionText(f5int) → f5inttext
17. If(qQ ≟ 1, ftext1, If[qQ ≟ 2, ftext2, If[qQ ≟ 3, ftext3, If[qQ ≟ 4, ftext4, ftext5]]]) → ftext
18. If(qQ ≟ 1, f1invtxt, If[qQ ≟ 2, f2invtxt, If[qQ ≟ 3, f3invtxt, If[qQ ≟ 4, f4invtxt, f5invtxt]]]) → finvtxt
19. Point(yAxis) → SC1A
20. Point(sc12) → SC1D
21. Point(sc12) → SC1E
22. Point(sc12) → SC1F
23. Corner(5) → dims
24. Textfield(stf) → InputBox1
25. Textfield(stdf4) → InputBox3
26. If(qQ ≟ 2 ∨ qQ ≟ 3, AreEqual[InputBox2, q2ansdom], If[qQ ≟ 4, AreEqual[InputBox3, q4ansdom], If[qQ ≟ 5, AreEqual[InputBox2, q5ansdom]]]) → corrdom
27. If(qQ ≟ 1, corrf, corrf ∧ corrdom) → correct