通过拖动点解释勾股定理的几何作图范例

GeoGebra 命令及参数

1. Point(xAxis) → A
2. Point(xAxis) → B
3. Segment(A, B) → a
4. Midpoint(a) → H
5. Segment(A, H) → k
6. Point(k) → C
7. Polygon(C, B, 4) → poly1, b, c, d, e, D, E
8. Polygon(A, C, 4) → poly2, f, g, h, i, F, G
9. Mirror(C, H) → C'
10. Polygon(A, G, C') → poly3, c', a_1, g_1
11. Polygon(C', B, D) → poly4, d_1, c'_1, b_1
12. Segment(E, C) → j
13. Intersect(a_1, j) → I
14. Rotate(C', (-α), D) → C''
15. Rotate(B, (-α), D) → B'
16. Rotate(D, (-α), D) → D'
17. Polygon(C'', B', D') → poly4', d', c'', b'
18. Rotate(A, α, G) → A'
19. Rotate(G, α, G) → G'
20. Rotate(C', α, G) → C''_1
21. Polygon(A', G', C''_1) → poly3', c''_1, a', g'
22. Polygon(G, C', D, E, F) → poly5, g_2, c'_2, d_2, e_1, f_1