用面积模型探究两项式相乘

GeoGebra 命令及参数

1. Corner(5) → AppSize
2. Translate(A, ((hor1, 0) * xwidth)) → B
3. Translate(B, (hor2, 0)) → C
4. Translate(A, ((0, ver1) * xwidth)) → D
5. Translate(D, (0, ver2)) → G
6. Polygon({A, D, E, B}) → q1
7. Polygon({B, E, F, C}) → q2
8. Polygon({D, G, H, E}) → q3
9. Polygon({E, H, I, F}) → q4
10. Polynomial((hor1 * x)) → lin1
11. Polynomial((-((ver1 * x)))) → lin2
12. Translate(A, (0, trans)) → A'
13. Translate(B, (0, trans)) → B'
14. Translate(C, (0, trans)) → C'
15. Translate(A, ((-trans), 0)) → A'_{1}
16. Translate(D, ((-trans), 0)) → D'
17. Translate(G, ((-trans), 0)) → G'
18. Segment(A', B') → seg1
19. Segment(B', C') → seg2
20. Segment(A'_{1}, D') → segV1
21. Segment(D', G') → segV2
22. Text(lin1, Midpoint[seg1], true, true, 0, 1) → lin1Text
23. Text(lin2, Midpoint[segV1], true, true, -1, 0) → lin2Text
24. Text(hor2, Midpoint[seg2], true, true, 0, 1) → ind1
25. Text((-ver2), Midpoint[segV2], true, true, -1, 0) → ind2
26. Polynomial((lin1(x) * lin2(x))) → A1
27. Text(A1, Midpoint[A, E], true, true, 0, 0) → area1Text
28. Polynomial((hor2 * lin2(x))) → A2
29. Text(A2, Midpoint[B, F], true, true, 0, 0) → area2Text
30. Polynomial(((-ver2) * lin1(x))) → A3
31. Text(A3, Midpoint[D, H], true, true, 0, 0) → area3Text
32. Text(((-hor2) * ver2), Midpoint[E, I], true, true, 0, 0) → area4Text
33. Polynomial(lin1(x) + hor2) → fac1
34. Polynomial(lin2(x) - ver2) → fac2
35. Polynomial((fac1(x) * fac2(x))) → Resul
36. Text(text9, Midpoint[Cor1, (x(Cor3), y(Cor1))], true, true, 0, 1) → text10