用弧度测量构造角度的几何作图

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Circle(A, B) → c
3. Sequence(i, i, 0, 6.28, 0.01) → l1, {0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.060000000000000005, 0.07, 0.08, 0.09, 0.09999999999999999, 0.10999999999999999, 0.11999999999999998, 0.12999999999999998, 0.13999999999999999, 0.15, 0.16, 0.17, 0.18000000000000002, 0.19000000000000003, 0.20000000000000004, 0.21000000000000005, 0.22000000000000006, 0.23000000000000007, 0.24000000000000007, 0.25000000000000006, 0.26000000000000006, 0.2700000000000001, 0.2800000000000001, 0.2900000000000001, 0.3000000000000001, 0.3100000000000001, 0.3200000000000001, 0.3300000000000001, 0.34000000000000014, 0.35000000000000014, 0.36000000000000015, 0.37000000000000016, 0.38000000000000017, 0.3900000000000002, 0.4000000000000002, 0.4100000000000002, 0.4200000000000002, 0.4300000000000002, 0.4400000000000002, 0.45000000000000023, 0.46000000000000024, 0.47000000000000025, 0.48000000000000026, 0.49000000000000027, 0.5000000000000002, 0.5100000000000002, 0.5200000000000002, 0.5300000000000002, 0.5400000000000003, 0.5500000000000003, 0.5600000000000003, 0.5700000000000003, 0.5800000000000003, 0.5900000000000003, 0.6000000000000003, 0.6100000000000003, 0.6200000000000003, 0.6300000000000003, 0.6400000000000003, 0.6500000000000004, 0.6600000000000004, 0.6700000000000004, 0.6800000000000004, 0.6900000000000004, 0.7000000000000004, 0.7100000000000004, 0.7200000000000004, 0.7300000000000004, 0.7400000000000004, 0.7500000000000004, 0.7600000000000005, 0.7700000000000005, 0.7800000000000005, 0.7900000000000005, 0.8000000000000005, 0.8100000000000005, 0.8200000000000005, 0.8300000000000005, 0.8400000000000005, 0.8500000000000005, 0.8600000000000005, 0.8700000000000006, 0.8800000000000006, 0.8900000000000006, 0.9000000000000006, 0.9100000000000006, 0.9200000000000006, 0.9300000000000006, 0.9400000000000006, 0.9500000000000006, 0.9600000000000006, 0.9700000000000006, 0.9800000000000006, 0.9900000000000007, 1, 1.01, 1.02, 1.03, 1.04, 1.05, 1.06, 1.07, 1.08, 1.09, 1.1, 1.11, 1.12, 1.1300000000000001, 1.1400000000000001, 1.1500000000000001, 1.1600000000000001, 1.1700000000000002, 1.1800000000000002, 1.1900000000000002, 1.2000000000000002, 1.2100000000000002, 1.2200000000000002, 1.2300000000000002, 1.2400000000000002, 1.2500000000000002, 1.2600000000000002, 1.2700000000000002, 1.2800000000000002, 1.2900000000000003, 1.3000000000000003, 1.3100000000000003, 1.3200000000000003, 1.3300000000000003, 1.3400000000000003, 1.3500000000000003, 1.3600000000000003, 1.3700000000000003, 1.3800000000000003, 1.3900000000000003, 1.4000000000000004, 1.4100000000000004, 1.4200000000000004, 1.4300000000000004, 1.4400000000000004, 1.4500000000000004, 1.4600000000000004, 1.4700000000000004, 1.4800000000000004, 1.4900000000000004, 1.5000000000000004, 1.5100000000000005, 1.5200000000000005, 1.5300000000000005, 1.5400000000000005, 1.5500000000000005, 1.5600000000000005, 1.5700000000000005, 1.5800000000000005, 1.5900000000000005, 1.6000000000000005, 1.6100000000000005, 1.6200000000000006, 1.6300000000000006, 1.6400000000000006, 1.6500000000000006, 1.6600000000000006, 1.6700000000000006, 1.6800000000000006, 1.6900000000000006, 1.7000000000000006, 1.7100000000000006, 1.7200000000000006, 1.7300000000000006, 1.7400000000000007, 1.7500000000000007, 1.7600000000000007, 1.7700000000000007, 1.7800000000000007, 1.7900000000000007, 1.8000000000000007, 1.8100000000000007, 1.8200000000000007, 1.8300000000000007, 1.8400000000000007, 1.8500000000000008, 1.8600000000000008, 1.8700000000000008, 1.8800000000000008, 1.8900000000000008, 1.9000000000000008, 1.9100000000000008, 1.9200000000000008, 1.9300000000000008, 1.9400000000000008, 1.9500000000000008, 1.9600000000000009, 1.9700000000000009, 1.9800000000000009, 1.9900000000000009, 2, 2.01, 2.0199999999999996, 2.0299999999999994, 2.039999999999999, 2.049999999999999, 2.0599999999999987, 2.0699999999999985, 2.0799999999999983, 2.089999999999998, 2.099999999999998, 2.1099999999999977, 2.1199999999999974, 2.1299999999999972, 2.139999999999997, 2.149999999999997, 2.1599999999999966, 2.1699999999999964, 2.179999999999996, 2.189999999999996, 2.1999999999999957, 2.2099999999999955, 2.2199999999999953, 2.229999999999995, 2.239999999999995, 2.2499999999999947, 2.2599999999999945, 2.2699999999999942, 2.279999999999994, 2.289999999999994, 2.2999999999999936, 2.3099999999999934, 2.319999999999993, 2.329999999999993, 2.3399999999999928, 2.3499999999999925, 2.3599999999999923, 2.369999999999992, 2.379999999999992, 2.3899999999999917, 2.3999999999999915, 2.4099999999999913, 2.419999999999991, 2.429999999999991, 2.4399999999999906, 2.4499999999999904, 2.45999999999999, 2.46999999999999, 2.4799999999999898, 2.4899999999999896, 2.4999999999999893, 2.509999999999989, 2.519999999999989, 2.5299999999999887, 2.5399999999999885, 2.5499999999999883, 2.559999999999988, 2.569999999999988, 2.5799999999999876, 2.5899999999999874, 2.599999999999987, 2.609999999999987, 2.619999999999987, 2.6299999999999866, 2.6399999999999864, 2.649999999999986, 2.659999999999986, 2.6699999999999857, 2.6799999999999855, 2.6899999999999853, 2.699999999999985, 2.709999999999985, 2.7199999999999847, 2.7299999999999844, 2.7399999999999842, 2.749999999999984, 2.759999999999984, 2.7699999999999836, 2.7799999999999834, 2.789999999999983, 2.799999999999983, 2.8099999999999827, 2.8199999999999825, 2.8299999999999823, 2.839999999999982, 2.849999999999982, 2.8599999999999817, 2.8699999999999815, 2.8799999999999812, 2.889999999999981, 2.899999999999981, 2.9099999999999806, 2.9199999999999804, 2.92999999999998, 2.93999999999998, 2.9499999999999797, 2.9599999999999795, 2.9699999999999793, 2.979999999999979, 2.989999999999979, 3, 3.01, 3.0199999999999996, 3.0299999999999994, 3.039999999999999, 3.049999999999999, 3.0599999999999987, 3.0699999999999985, 3.0799999999999983, 3.089999999999998, 3.099999999999998, 3.1099999999999977, 3.1199999999999974, 3.1299999999999972, 3.139999999999997, 3.149999999999997, 3.1599999999999966, 3.1699999999999964, 3.179999999999996, 3.189999999999996, 3.1999999999999957, 3.2099999999999955, 3.2199999999999953, 3.229999999999995, 3.239999999999995, 3.2499999999999947, 3.2599999999999945, 3.2699999999999942, 3.279999999999994, 3.289999999999994, 3.2999999999999936, 3.3099999999999934, 3.319999999999993, 3.329999999999993, 3.3399999999999928, 3.3499999999999925, 3.3599999999999923, 3.369999999999992, 3.379999999999992, 3.3899999999999917, 3.3999999999999915, 3.4099999999999913, 3.419999999999991, 3.429999999999991, 3.4399999999999906, 3.4499999999999904, 3.45999999999999, 3.46999999999999, 3.4799999999999898, 3.4899999999999896, 3.4999999999999893, 3.509999999999989, 3.519999999999989, 3.5299999999999887, 3.5399999999999885, 3.5499999999999883, 3.559999999999988, 3.569999999999988, 3.5799999999999876, 3.5899999999999874, 3.599999999999987, 3.609999999999987, 3.619999999999987, 3.6299999999999866, 3.6399999999999864, 3.649999999999986, 3.659999999999986, 3.6699999999999857, 3.6799999999999855, 3.6899999999999853, 3.699999999999985, 3.709999999999985, 3.7199999999999847, 3.7299999999999844, 3.7399999999999842, 3.749999999999984, 3.759999999999984, 3.7699999999999836, 3.7799999999999834, 3.789999999999983, 3.799999999999983, 3.8099999999999827, 3.8199999999999825, 3.8299999999999823, 3.839999999999982, 3.849999999999982, 3.8599999999999817, 3.8699999999999815, 3.8799999999999812, 3.889999999999981, 3.899999999999981, 3.9099999999999806, 3.9199999999999804, 3.92999999999998, 3.93999999999998, 3.9499999999999797, 3.9599999999999795, 3.9699999999999793, 3.979999999999979, 3.989999999999979, 4, 4.01, 4.02, 4.029999999999999, 4.039999999999999, 4.049999999999999, 4.059999999999999, 4.0699999999999985, 4.079999999999998, 4.089999999999998, 4.099999999999998, 4.109999999999998, 4.119999999999997, 4.129999999999997, 4.139999999999997, 4.149999999999997, 4.159999999999997, 4.169999999999996, 4.179999999999996, 4.189999999999996, 4.199999999999996, 4.2099999999999955, 4.219999999999995, 4.229999999999995, 4.239999999999995, 4.249999999999995, 4.2599999999999945, 4.269999999999994, 4.279999999999994, 4.289999999999994, 4.299999999999994, 4.309999999999993, 4.319999999999993, 4.329999999999993, 4.339999999999993, 4.3499999999999925, 4.359999999999992, 4.369999999999992, 4.379999999999992, 4.389999999999992, 4.3999999999999915, 4.409999999999991, 4.419999999999991, 4.429999999999991, 4.439999999999991, 4.44999999999999, 4.45999999999999, 4.46999999999999, 4.47999999999999, 4.4899999999999896, 4.499999999999989, 4.509999999999989, 4.519999999999989, 4.529999999999989, 4.5399999999999885, 4.549999999999988, 4.559999999999988, 4.569999999999988, 4.579999999999988, 4.589999999999987, 4.599999999999987, 4.609999999999987, 4.619999999999987, 4.629999999999987, 4.639999999999986, 4.649999999999986, 4.659999999999986, 4.669999999999986, 4.6799999999999855, 4.689999999999985, 4.699999999999985, 4.709999999999985, 4.719999999999985, 4.729999999999984, 4.739999999999984, 4.749999999999984, 4.759999999999984, 4.769999999999984, 4.779999999999983, 4.789999999999983, 4.799999999999983, 4.809999999999983, 4.8199999999999825, 4.829999999999982, 4.839999999999982, 4.849999999999982, 4.859999999999982, 4.8699999999999815, 4.879999999999981, 4.889999999999981, 4.899999999999981, 4.909999999999981, 4.91999999999998, 4.92999999999998, 4.93999999999998, 4.94999999999998, 4.9599999999999795, 4.969999999999979, 4.979999999999979, 4.989999999999979, 5, 5.01, 5.02, 5.029999999999999, 5.039999999999999, 5.049999999999999, 5.059999999999999, 5.0699999999999985, 5.079999999999998, 5.089999999999998, 5.099999999999998, 5.109999999999998, 5.119999999999997, 5.129999999999997, 5.139999999999997, 5.149999999999997, 5.159999999999997, 5.169999999999996, 5.179999999999996, 5.189999999999996, 5.199999999999996, 5.2099999999999955, 5.219999999999995, 5.229999999999995, 5.239999999999995, 5.249999999999995, 5.2599999999999945, 5.269999999999994, 5.279999999999994, 5.289999999999994, 5.299999999999994, 5.309999999999993, 5.319999999999993, 5.329999999999993, 5.339999999999993, 5.3499999999999925, 5.359999999999992, 5.369999999999992, 5.379999999999992, 5.389999999999992, 5.3999999999999915, 5.409999999999991, 5.419999999999991, 5.429999999999991, 5.439999999999991, 5.44999999999999, 5.45999999999999, 5.46999999999999, 5.47999999999999, 5.4899999999999896, 5.499999999999989, 5.509999999999989, 5.519999999999989, 5.529999999999989, 5.5399999999999885, 5.549999999999988, 5.559999999999988, 5.569999999999988, 5.579999999999988, 5.589999999999987, 5.599999999999987, 5.609999999999987, 5.619999999999987, 5.629999999999987, 5.639999999999986, 5.649999999999986, 5.659999999999986, 5.669999999999986, 5.6799999999999855, 5.689999999999985, 5.699999999999985, 5.709999999999985, 5.719999999999985, 5.729999999999984, 5.739999999999984, 5.749999999999984, 5.759999999999984, 5.769999999999984, 5.779999999999983, 5.789999999999983, 5.799999999999983, 5.809999999999983, 5.8199999999999825, 5.829999999999982, 5.839999999999982, 5.849999999999982, 5.859999999999982, 5.8699999999999815, 5.879999999999981, 5.889999999999981, 5.899999999999981, 5.909999999999981, 5.91999999999998, 5.92999999999998, 5.93999999999998, 5.94999999999998, 5.9599999999999795, 5.969999999999979, 5.979999999999979, 5.989999999999979, 6, 6.01, 6.02, 6.029999999999999, 6.039999999999999, 6.049999999999999, 6.059999999999999, 6.0699999999999985, 6.079999999999998, 6.089999999999998, 6.099999999999998, 6.109999999999998, 6.119999999999997, 6.129999999999997, 6.139999999999997, 6.149999999999997, 6.159999999999997, 6.169999999999996, 6.179999999999996, 6.189999999999996, 6.199999999999996, 6.2099999999999955, 6.219999999999995, 6.229999999999995, 6.239999999999995, 6.249999999999995, 6.2599999999999945, 6.269999999999994, 6.279999999999994}
4. RandomElement(l1) → a
5. Rotate(C, a, (0, 0)) → C'
6. Point(c) → D
7. CircleArc(A, B, D) → d
8. Segment(A, D) → f
9. Angle(B, A, D) → α
10. Point(f) → E
11. Segment(A, B) → g
12. Angle(D, A, C') → β
13. Circle(F, r) → e
14. Point(e) → G
15. Rotate(G, (1 * rad), F) → G'
16. CircleArc(F, G, G') → h
17. Segment(F, G) → i
18. Segment(F, G') → j
19. Segment(F, G) → k
20. OrthogonalLine(G, k) → l
21. Rotate(F, If[0 < b ≤ 1, ((-b) * π / 2), ((-π)) / 2], G) → F'
22. Segment(G, F') → m
23. Rotate(G, If[1 < b ≤ 2, (((b - 1) * 1) * rad), (1 * rad)], F) → G'_{1}
24. Line(F, G'_{1}) → n
25. CircleArc(F, G, G'_{1}) → q
26. Circle(G'_{1}, r - q) → p
27. OrthogonalLine(G'_{1}, n) → s
28. Circle(G'_{1}, r - q) → t
29. Intersect(t, s, 2) → H
30. Segment(G'_{1}, H) → f_1
31. Angle(G, F, G') → γ