二次函数符号研究

GeoGebra 命令及参数

1. Root((a * x^(2)) + (b * x) + c) → R_1, R_2
2. Function((a * x^(2)) + (b * x) + c, l_l, l_u) → f_m
3. Function((a * x^(2)) + (b * x) + c, -70, l_l) → f_l
4. Function((a * x^(2)) + (b * x) + c, l_u, 100) → f
5. Extremum((a * x^(2)) + (b * x) + c) → T
6. If(s < 0, 0, If[s ≟ 0, 0, 1]) → colour1
7. If(s < 0, 1, 0) → colour2
8. If(a > 0, 1, If[a ≟ 0, 0, -1]) → sign1
9. Segment(R_2, M_R) → dotted1
10. Vector(M_R, M_RR) → v_1
11. Segment(R_1, M_L) → dotted2
12. Segment(M_IL, M_IR) → j
13. Midpoint(j) → M_im
14. Segment(R_1, M_IL) → dotted3
15. Segment(R_2, M_IR) → dotted4
16. If(a < 0, Simplify[(-x) + factored2], Simplify[x - factored2]) → factoredexp2
17. If(a^(2) ≟ 0, sgn(b), 1) → v_2sign
18. Vector(M_L, M_LL) → v_2
19. Factor(f_n) → q
20. If(sqrt(b^(2) - ((4 * a) * c)) - floor(sqrt(b^(2) - ((4 * a) * c))) > 0, "Not Factorizable", "Can") → text2nd
21. If(b^(2) - ((4 * a) * c) < 0, "No Real Roots!", text2nd) → textDetFactor
22. Segment(A, B) → d
23. Segment(C, D) → e
24. Segment(E, F) → g