分数求和的 GeoGebra 演示

GeoGebra 命令及参数

1. Line(A, xAxis) → a_2
2. Circle(A, 5) → c_2
3. Intersect(c_2, a_2) → B_1, B
4. Circle(B, 2) → d_3
5. Intersect(d_3, a_2, 2) → E
6. Circle(E, 5) → e
7. Intersect(e, a_2, 2) → F
8. Circle(F, 2) → f
9. Intersect(f, a_2, 2) → I
10. Circle(I, 5) → g
11. Intersect(g, a_2, 2) → J
12. OrthogonalLine(A, xAxis) → b_1
13. Intersect(c_2, b_1, 2) → D
14. OrthogonalLine(J, a_2) → h
15. OrthogonalLine(D, b_1) → i
16. Intersect(h, i) → K
17. OrthogonalLine(B, i) → j
18. OrthogonalLine(E, i) → k
19. OrthogonalLine(F, i) → l
20. OrthogonalLine(I, i) → m
21. Intersect(i, j) → C
22. Intersect(l, i) → G
23. Intersect(m, i) → L
24. Intersect(k, i) → H
25. Polygon(A, D, C, B) → poly1, a_1, h_1, j_1, c_1
26. Polygon(E, F, G, H) → poly2, d_1, e_1, k_1, m_1
27. Sequence(A + k * (B - A) / b, k, 0, b) → liste1
28. Sequence(D + k * (C - D) / b, k, 0, b) → liste2
29. Sequence(Segment[Element[liste1, k], Element[liste2, k]], k, 0, b) → liste3
30. Polygon(A, Element[liste1, a + 1], Element[liste2, a + 1], D) → poly4, a_3, n, p, d_2
31. Sequence(E + (H - E) * k / d, k, 0, d) → liste4
32. Sequence(F + (G - F) * k / d, k, 0, d) → liste5
33. Sequence(Segment[Element[liste4, k], Element[liste5, k]], k, 0, d) → liste6
34. Polygon(E, Element[liste4, c + 1], Element[liste5, c + 1], F) → poly5, e_2, q, r, f_2
35. Sequence(I + (J - I) * k / b, k, 0, b) → liste7
36. Sequence(L + (K - L) * k / b, k, 0, b) → liste8
37. Sequence(I + (L - I) * k / d, k, 0, d) → liste9
38. Sequence(J + (K - J) * k / d, k, 0, d) → liste10
39. Sequence(A + (D - A) * k / d, k, 0, d) → liste13
40. Sequence(B + (C - B) * k / d, k, 0, d) → liste14
41. Sequence(Segment[Element[liste13, k], Element[liste14, k]], k, 0, d) → liste15
42. Sequence(E + (F - E) * k / b, k, 0, b) → liste16
43. Sequence(H + (G - H) * k / b, k, 0, b) → liste17
44. Sequence(Segment[Element[liste16, k], Element[liste17, k]], k, 0, b) → liste18
45. GCD(val1, val2) → val3
46. Polygon(I, J, K, L) → poly3, i_1, j_2, k_2, l_1
47. Vector(E, I) → u
48. Translate(liste6, u) → liste6'
49. Translate(liste18, u) → liste18'
50. Vector(A, I) → v
51. Translate(I, v) → I'
52. Translate(J, v) → J'
53. Translate(K, v) → K'
54. Translate(L, v) → L'
55. If(floor(val1 / val2) ≟ val1 / val2, val1 / val2, false) → val5
56. Text("=" + val5) → texte3