用几何作图演示毕达哥拉斯定理与三角函数关联

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(yAxis) → B
3. Polygon(A, B, C) → poly1, c, a, b
4. Polygon(G, A, H) → poly4, h, g_1, a_1
5. Rotate(C, α, C) → C'
6. Rotate(D, α, C) → D'
7. Rotate(E, α, C) → E'
8. Polygon(C', D', E') → poly2', e', c', d'
9. Rotate(E, (-β), G) → E'_1
10. Rotate(F, (-β), G) → F'
11. Rotate(G, (-β), G) → G'
12. Polygon(E'_1, F', G') → poly3', g', e'_1, f'
13. Polygon(B, D, F, H) → poly5, b_1, d_1, f_1, h_1
14. Intersect(b_1, d_1) → I
15. Segment(I, J) → d