勾股定理与三角形中线测试

GeoGebra 命令及参数

1. Segment(A_1, B_1) → a
2. Semicircle(A_1, B_1) → c
3. Distance(A_1, C) → b
4. Polygon(A_1, C, B_1) → ABC, AC, CB, BA
5. Angle(A_1, C, B_1) → α
6. Angle(B_1, A_1, C) → β
7. Angle(A_1, C, B_1) → γ
8. Angle(C, B_1, A_1) → δ
9. OrthogonalLine(C, CB) → D_1
10. OrthogonalLine(B_1, CB) → E_1
11. Circle(C, B_1) → F_1
12. Intersect(F_1, D_1, 2) → D
13. Line(D, CB) → d
14. Intersect(E_1, d) → E_2
15. Intersect(d, D_1) → G
16. Intersect(E_1, d) → E
17. Polygon(C, D, E_2, B_1) → CBED, c_1, d_1, e_2, b_1
18. OrthogonalLine(C, AC) → e
19. OrthogonalLine(A_1, AC) → f
20. Circle(A_1, C) → F
21. Intersect(F, f) → H, I
22. Line(I, AC) → g
23. Intersect(e, g) → J
24. Polygon(I, A_1, C, J) → ACJL, i, a_1, c_2, j
25. OrthogonalLine(A_1, BA) → k
26. OrthogonalLine(B_1, BA) → h
27. Circle(B_1, A_1) → p
28. Intersect(p, h) → K, L
29. Line(L, BA) → l
30. Intersect(k, l) → M
31. Polygon(A_1, B_1, L, M) → poly1, a_2, b_2, l_1, ABLM
32. Polygon(A_1, B_1, L, M) → poly2, a_3, b_3, l_2, m
33. Midpoint(A_1, J) → N
34. Midpoint(B_1, G) → O
35. Intersect(l_2, m) → P
36. Midpoint(P, B_1) → B_2
37. Semicircle(A_1, B_1) → q_1
38. Intersect(AC, CB) → A