Iccarah 定理的几何构造与圆/椭圆面积关系演示

GeoGebra 命令及参数

1. Point(xAxis) → A
2. Point(xAxis) → B
3. Line(A, B) → f
4. Point(yAxis) → C
5. Point(yAxis) → D
6. Line(C, D) → g
7. Intersect(f, g) → E
8. Point(Circle[E, a]) → F
9. Segment(E, F) → h
10. Point(Circle[E, b]) → G
11. Segment(E, G) → i
12. Mirror(F, E) → F'
13. Mirror(G, E) → G'
14. Point(g) → H
15. Ellipse(F', F, H) → c
16. Ellipse(G', G, H) → d
17. Point(f) → I
18. Mirror(I, E) → I'
19. Ellipse(I, I', H) → circle_e
20. Intersect(c, d, 1) → N
21. Intersect(d, f, 1) → J
22. Intersect(c, f, 1) → K
23. Segment(J, K) → differenceof2major
24. Area(d) → k
25. PointIn(d) → Pointd_{1}
26. PointIn(d) → Pointd
27. Area(c) → m
28. PointIn(c) → Pointc_{1}
29. PointIn(c) → Pointc_{2}
30. Circumference(circle_e) → circumferencee
31. PointIn(circle_e) → Pointe
32. Area(c) → l
33. PointIn(c) → Pointc
34. Intersect(d, f, 2) → L
35. Intersect(c, f, 2) → M
36. Segment(M, L) → differenceof2majorax