Spielkarte 2：几何与概率的趣味探索

GeoGebra 命令及参数

1. Polygon(Midpoint[K_1, K_4], Midpoint[K_2, K_3], K_3, K_4) → oben, h1, h2, h3, h4
2. PointIn(oben) → P
3. Segment(Midpoint[K_1, K_4], Midpoint[K_2, K_3]) → m
4. Midpoint(m) → M
5. Polygon(K_1, K_2, K_3, K_4) → Karte, k_1, k_2, k_3, k_4
6. Circle(K_1, epsilon) → kreis_1
7. Intersect(kreis_1, k_1) → K_{11},
8. Intersect(kreis_1, k_4) → K_{12},
9. CircleArc((x(K_1) + epsilon, y(K_1) + epsilon), K_{12}, K_{11}) → kreisbogen_1
10. Circle(K_2, epsilon) → kreis_2
11. Circle(K_3, epsilon) → kreis_3
12. Circle(K_4, epsilon) → kreis_4
13. Intersect(kreis_2, k_1) → K_{22},
14. Intersect(kreis_2, k_2) → K_{21},
15. Intersect(kreis_4, k_3) → K_{42},
16. Intersect(kreis_3, k_2) → K_{32},
17. CircleArc((x(K_2) - epsilon, y(K_2) + epsilon), K_{22}, K_{21}) → kreisbogen_2
18. Intersect(kreis_4, k_4) → K_{41},
19. Intersect(kreis_3, k_3) → K_{31},
20. CircleArc((x(K_3) - epsilon, y(K_3) - epsilon), K_{32}, K_{31}) → kreisbogen_3
21. CircleArc((x(K_4) + epsilon, y(K_4) - epsilon), K_{42}, K_{41}) → kreisbogen_4
22. Segment(K_{11}, K_{22}) → k1
23. Segment(K_{21}, K_{32}) → k2
24. Segment(K_{31}, K_{42}) → k3
25. Segment(K_{41}, K_{12}) → k4
26. If(fractionalPart(n / 2) ≟ 0, false, true) → spur
27. Semicircle(H_2, H_3) → herz_{ol}
28. Semicircle(H_3, H_4) → herz_{or}
29. IntegralBetween(f_3, f_1, x(H_2), x(H_3)) → herzlinks
30. IntegralBetween(f_3, f_2, x(H_3), x(H_4)) → herzrechts
31. Mirror(K_1, m) → A
32. Mirror(K_2, m) → B
33. Mirror(K_3, m) → C
34. Mirror(K_4, m) → D
35. Mirror(herz_{ol}, m) → e
36. Mirror(herz_{or}, m) → f
37. IntegralBetween(g_1, g_3, x(H_2), x(H_3)) → herzuntenlinks
38. IntegralBetween(g_2, g_3, x(H_3), x(H_4)) → herzuntenrechts
39. Mirror(herz_{ol}, s) → c
40. Mirror(herz_{or}, s) → d
41. Mirror(e, s) → e'
42. Mirror(f, s) → f'
43. IntegralBetween(f_3, h_1, x(H_2) + breite - (2 * x(H_1)), x(H_3) + breite - (2 * x(H_1))) → zrehlinks
44. IntegralBetween(f_3, h_2, x(H_3) + breite - (2 * x(H_1)), x(H_4) + breite - (2 * x(H_1))) → zrehrechts
45. IntegralBetween(i_1, g_3, x(H_2) + breite - (2 * x(H_1)), x(H_3) + breite - (2 * x(H_1))) → zrehuntenlinks
46. IntegralBetween(i_2, g_3, x(H_3) + breite - (2 * x(H_1)), x(H_4) + breite - (2 * x(H_1))) → zrehuntenrechtks
47. Mirror(P, M) → P'
48. Segment(P, P') → hilslinie