面积与周长：随机四边形与勾股定理的交互探索

GeoGebra 命令及参数

1. Random(1, 5) → b
2. Random(1, 2) → a
3. Random(1, 3) → c
4. Polygon(A, B, C, D, E, F, G, H) → poly1, a_1, b_1, c_1, d, e, f, g, h
5. Intersect(f, xAxis) → I
6. Intersect(b_1, g) → J
7. Line(C, B) → t_8
8. Line(F, E) → f_9
9. Line(D, E) → g_9
10. Intersect(f_9, t_8) → L
11. Line(A, I) → h_9
12. Polygon(C, D, E, L) → q1, c_9, d_9, e_9, l_9
13. Polygon(L, F, I, B) → q2, l_{10}, f_{10}, i_9, b_9
14. Polygon(A, I, G, H) → q3, a_9, i_{10}, g_{10}, h_{10}