二次函数练习测验：求解方程、顶点与判别式

GeoGebra 命令及参数

1. Textfield(q3styvt) → InputBox4
2. Random(1, 3) → q3ran
3. Random(1, 8) → kK
4. RandomElement(r1list) → r1
5. Remove(r1list, {r1}) → r2list
6. RandomElement(r2list) → r2
7. RandomElement(alist) → aA
8. Expand((aA * (x - r1)^(2)) + kK) → f4
9. Expand((-f4(x))) → g4
10. If(aA ≟ 1, ((x - r1) * (x - r2)), ((aA * (x - r1)) * (x - r2))) → f1
11. If(q3ran ≟ 1, f1, If[q3ran ≟ 2, f4, g4]) → q3f
12. Extremum(q3f) → Q3VTX
13. Textfield(q3stxv) → InputBox3
14. Textfield(q2stx1) → InputBox1
15. Random(1, 3) → q2ran
16. Random(-20, -1) → extrac
17. Expand(f1) → f2
18. Simplify(f2(x) + extrac) → f3
19. Expand((-f3(x))) → g3
20. If(q2ran ≟ 1, f2, If[q2ran ≟ 2, f3, g3]) → q2f
21. Coefficients(q2f) → q2coeflist
22. Element(q2coeflist, 3) → q2cC
23. Element(q2coeflist, 2) → q2bB
24. Element(q2coeflist, 1) → q2aA
25. Textfield(q2stx2) → InputBox2
26. Expand((aA * (x - r1)^(2))) → f5
27. Random(1, 6) → q1ran
28. If(q1ran ≟ 1, f2, If[q1ran ≟ 2, f3, If[q1ran ≟ 3, g3, If[q1ran ≟ 4, f4, If[q1ran ≟ 5, g4, f5]]]]) → q1f
29. SelectedElement(q1droplist) → stansq1
30. AreEqual(InputBox3, q3ansx) → corrq3a
31. AreEqual(InputBox4, q3ansy) → corrq3b
32. If(q1ran ≟ 6, 1, If[q1ran ≟ 4 ∨ q1ran ≟ 5, 0, 2]) → ansq1
33. Coefficients(q1f) → q1coefflist
34. Element(q1coefflist, 1) → q1aA
35. Element(q1coefflist, 2) → q1bB
36. Element(q1coefflist, 3) → q1cC
37. If(ansq1 ≟ 0, "<0", If[ansq1 ≟ 1, "=0", ">0"]) → solq1txta
38. If(aA ≟ 1, "", Text[aA]) → aAtxtif
39. Coefficients(q3f) → q3coefflist
40. Element(q3coefflist, 1) → q3aA
41. Element(q3coefflist, 2) → q3bB
42. Element(q3coefflist, 3) → q3cC
43. Factor(q2f) → q2fsol