毕达哥拉斯定理的几何演示与圆锥构造

GeoGebra 命令及参数

1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
2. Ray(A, B) → e
3. Rotate(B + ((b_1 * abs(x(A) - x(B))), 0), If[a < π / 2, (-a), ((-π)) / 2], F) → E
4. Rotate(F + (0, abs(y(F) - y(B))), If[a < π / 2, (-a), ((-π)) / 2], F) → I
5. If(a < π / 2, ((-π)) / 2, asin((y(K) - y(A)) / o)) → r
6. Rotate(K, r°, A) → K'
7. Rotate(D, (-(π / 2 - r)), K) → D'_1
8. Angle(D'_1, K, D) → β
9. Ray(K, D'_1) → n
10. Intersect(n, e) → L
11. OrthogonalLine(L, n) → s
12. Angle(C, F, G) → α
13. Rotate(L, α, K) → L'
14. Angle(L, K, L') → γ
15. Ray(K, L') → t
16. Intersect(s, t) → O
17. Polygon(F, I, E) → poly2, e_1, f_1, i_1
18. Polygon(F, C, G) → poly3, g_1, f_2, c
19. Polygon(K, M, N) → poly4, n_1, k, m
20. Polygon(L, O, K) → poly5, k_1, l, o_1
21. Midpoint(F, E) → Q
22. Midpoint(G, F) → T
23. Midpoint(C, F) → V
24. Midpoint(C, G) → W
25. Midpoint(I, F) → U
26. Midpoint(E, I) → D_1
27. Midpoint(O, L) → b
28. Midpoint(M, K) → R
29. Midpoint(K, O) → S
30. Midpoint(K, L) → B_1
31. Midpoint(B, D) → P
32. Midpoint(M, N) → Z
33. Midpoint(N, K) → A_1