配方法解二次方程（一）

GeoGebra 命令及参数

1. Point(yAxis) → D
2. Point(xAxis) → B
3. Midpoint(B, D) → M_{BD}
4. RandomElement({-7, -6, -5, -4, -3, -2, -1, 7, 6, 5, 4, 3, 2, 1}) → a
5. Vector(P_{xsquared}, M_{BD}) → u_1
6. Random(-7, 7) → b
7. Simplify((x - a)^(2) - c^(2)) → sl1
8. Simplify(y^(2) + (b2 * y)) → sr2
9. Simplify((-((x - a)^(2) - c^(2) - x^(2) - (a2 * x)))) → s3
10. Simplify(x^(2) + (a2 * x)) → s4
11. Simplify((x - a)^(2)) → sl5
12. Simplify((y - b)^(2)) → sr5
13. Simplify(x - h) → sl6
14. Intersect(xAxis, yAxis) → A
15. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
16. Point(xAxis) → E
17. Point(xAxis) → F
18. Polygon(E, F, G, H) → poly2, e_1, f_1, g_1, h_1
19. Polygon(I, J, K, L) → poly3, i_1, j_1, k_1, l_1
20. Polygon(M, N, O, P) → poly4, m_1, n_1, o_1, p_1
21. Dilate(M, h / a, O) → M'
22. Dilate(N, h / a, O) → N'
23. Dilate(O, h / a, O) → O'
24. Dilate(P, h / a, O) → P'
25. Polygon(M', N', O', P') → poly4', m', n', o', p'
26. Midpoint(A, B) → M_{AB}
27. Midpoint(A, D) → M_{AD}
28. Midpoint(E, F) → M_{EF}
29. Midpoint(F, H) → M_{FH}
30. Midpoint(I, L) → M_{IL}
31. Midpoint(J, L) → M_{JL}
32. Midpoint(N', P') → M_{NP}
33. Translate(P_{xsquared}, Vector[(n_{motion} * u_1)]) → R
34. Vector(P_{xsquared}, R) → v_1
35. Vector(P_{bx}, M_{FH}) → u_2
36. Translate(P_{bx}, Vector[(n_{motion} * u_2)]) → Q
37. Vector(P_{bx}, M_{JL}) → u_3
38. Translate(P_{bx}, Vector[(n_{motion} * u_3)]) → S
39. Vector(P_{bx}, Q) → v_2
40. Vector(P_{bx}, S) → v_3
41. Dilate(M, j / a^(2), O) → M'_1
42. Dilate(N, j / a^(2), O) → N'_1
43. Dilate(O, j / a^(2), O) → O'_1
44. Dilate(P, j / a^(2), O) → P'_1
45. Polygon(M'_1, N'_1, O'_1, P'_1) → poly4'_1, m'_1, n'_1, o'_1, p'_1
46. Random((-(a2 / 2)^(2)) + 1, 8) → c_R