数量积的代数与几何表示

GeoGebra 命令及参数

1. Vector(origin, A) → v
2. Vector(origin, B) → w
3. Angle(A, origin, B) → α
4. Circle(origin, B) → c
5. Line(origin, B) → a
6. OrthogonalLine(A, a) → b
7. Intersect(a, b) → C
8. Vector(origin, C) → proj_{w}v
9. OrthogonalLine(origin, a) → d
10. Intersect(c, d, 2) → D
11. Segment(origin, D) → e
12. Segment(A, C) → f
13. Angle(origin, C, A) → β
14. OrthogonalLine(D, e) → g
15. Intersect(b, g) → E
16. Polygon(origin, D, E, C) → poly1, origin_1, d_1, e_1, c_1
17. Length(v) → magnitude_{v}
18. Length(w) → magnitude_{w}
19. Circle(origin, A) → h
20. Line(origin, A) → i
21. OrthogonalLine(B, i) → j
22. OrthogonalLine(origin, i) → k
23. Intersect(j, i) → F
24. Vector(origin, F) → proj_{v}w
25. Intersect(h, k, 1) → G
26. OrthogonalLine(G, k) → l
27. Intersect(j, l) → H
28. Polygon(origin, F, H, G) → poly2, origin_2, f_1, h_1, g_1
29. Segment(B, F) → m
30. Angle(B, F, origin) → γ