三维向量及其方向余弦

GeoGebra 命令及参数

1. Vector(O, A) → u
2. Vector(O, B) → v
3. Vector(O, C) → w
4. OrthogonalLine(A, xAxis, xOyPlane) → b
5. OrthogonalLine(B, yAxis, xOyPlane) → c
6. Intersect(c, b) → D
7. Polygon(O, A, D, B) → poly1, o, a_1, d, b_1
8. Prism(poly1, C) → e, E, edgeAE, edgeDF, edgeBG, edgeCE, edgeEF, edgeFG, edgeCG, F, G, faceAECO, faceADFE, faceBDFG, faceBGCO, faceCEFG, edgeCO
9. Angle(a, veci) → α
10. Angle(a, vecj, xOyPlane) → β
11. Angle(a, veck) → θ
12. Textfield(A_x) → InputBox1
13. Textfield(A_y) → InputBox2
14. LaTeX(α, true, true) → text1
15. LaTeX(β, true, true) → text2
16. Textfield(A_z) → InputBox3
17. LaTeX(θ, true, true) → text3
18. Angle(veci, a_{xy}, xOyPlane) → ϕ
19. LaTeX(ϕ, true, true) → text4