点到直线与点到平面的距离计算与正交投影演示

GeoGebra 命令及参数

1. Textfield(P) → InputBox1
2. Textfield(n) → InputBox2
3. Translate(P, n) → P'
4. Vector(P, P') → u
5. Textfield(Q) → InputBox3
6. Vector(P, Q) → v
7. Distance(Q, plane) → D_{plane}
8. OrthogonalLine(Q, plane) → f
9. Intersect(f, plane) → D
10. Vector(D, Q) → w
11. Midpoint(D, Q) → E
12. Line((x(P), y(P), z(P)), Vector[(x(n), y(n), z(n))]) → line
13. OrthogonalLine(Q, line, space) → g
14. Intersect(line, g) → M
15. ProjectPoint(Q) → A, l
16. ProjectPoint(P) → B, m
17. XandYline(B) → p, q
18. XandYline(A) → r, s
19. Segment(F, G) → t