椭圆剪刀模型

GeoGebra 命令及参数

1. Intersect(d, xAxis) → M, N
2. Intersect(d, yAxis) → K, L
3. Segment(A, B) → a
4. Segment(D, E) → b
5. Segment(F, G) → c
6. OrthogonalLine(D, b) → f
7. Intersect(d, f) → H, I
8. Circle(D, C) → g
9. Ray(D, I) → h
10. Intersect(g, h) → J,
11. CurveCartesian(x(D + ((0.2 * cos(k)) * Vector[D, J]) + ((0.25 * sin(k)) * Vector[D, C])), y(D + ((0.2 * cos(k)) * Vector[D, J]) + ((0.25 * sin(k)) * Vector[D, C])), k, 0, (2 * π)) → e
12. Intersect(b, e) → O, P, O_{1}, O_{2}
13. Circle(C, 0.1) → k
14. Mirror(e, a) → e'
15. OrthogonalLine(C, b) → i
16. Intersect(k, i) → Q, R
17. Midpoint(D, O) → S
18. Midpoint(S, O) → T
19. Midpoint(O, T) → U
20. Midpoint(U, O) → V
21. OrthogonalLine(V, b) → j
22. Intersect(j, e) → W, Z
23. Polygon(E, Q, Z, W, R) → poly1, e_1, q, z_1, w, r
24. Mirror(E, a) → E'
25. Mirror(Q, a) → Q'
26. Mirror(Z, a) → Z'
27. Mirror(W, a) → W'
28. Mirror(R, a) → R'
29. Polygon(E', Q', Z', W', R') → poly1', l, q', z', w', r'
30. Mirror(D, a) → D'