向量点积的几何演示与计算

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Vector(A, B) → u
3. Vector(A, C) → v
4. Angle(B, A, C) → α
5. Circle(A, C) → c
6. Rotate(C, 90.0*°, A) → F
7. Angle(C, A, F) → β
8. Line(A, F) → e
9. OrthogonalLine(B, v) → f
10. Line(A, C) → g
11. Intersect(g, f) → D
12. OrthogonalLine(F, f) → h
13. Intersect(h, f) → E
14. Polygon(A, D, E, F) → rectangle, a_1, f_1, g_1, c'_1
15. Vector(G, H) → w
16. Translate(G, w) → G'
17. Translate(A, w) → A'
18. Translate(B, w) → B'
19. Translate(C, w) → C'
20. Vector(A', B') → u'
21. Vector(A', C') → v'
22. Rotate(B', α, A') → B''
23. Angle(B', A', B'') → γ
24. Circle(A', B') → k
25. OrthogonalLine(C', u') → i
26. OrthogonalLine(C', i) → j
27. OrthogonalLine(A', j) → l
28. Intersect(i, j) → I
29. Line(A', B') → n
30. OrthogonalLine(A', u') → p
31. OrthogonalLine(I, p) → q
32. OrthogonalLine(B', q) → r
33. Line(A', B') → d
34. OrthogonalLine(A', d) → s
35. OrthogonalLine(B', d) → t
36. OrthogonalLine(I, d) → c_1
37. Segment(D, B) → d_1
38. Intersect(c_1, d) → L
39. Circle(A', L) → e_1
40. Intersect(k, s) → F', K
41. OrthogonalLine(I, u') → b_1
42. OrthogonalLine(F', b_1) → h_1
43. Intersect(h_1, b_1) → E'
44. Intersect(e_1, b_1) → D', O
45. Polygon(A', F', E', O) → Vieleck1, a', j_1, m_1, o
46. Segment(I, O) → i_1