识别生活中的角度：探索与作图

GeoGebra 命令及参数

1. Element({E17:E28, E31:E43, E5:E14}, currPic) → distancesCurrent
2. Zip(A ≤ tolerance, A, distancesCurrent) → distanceCheck
3. IndexOf(true, distanceCheck) → indexOK
4. Rotate(C10, ((-pi)) / 2, B10) → A10
5. Rotate(A11, pi / 2, B11) → C11
6. Element({D17:D28, D31:D43, D5:D14}, currPic) → allAngleSizes
7. Zip(If[A < pi / 2, "Acute", If[A ≟ pi / 2, "Right", If[A ≟ pi, "Straight", "Obtuse"]]], A, allAngleSizes) → allAngleTypes
8. Min(distancesCurrent) → closestDistance
9. IndexOf(Min[distancesCurrent], distancesCurrent) → displayIndex
10. Polygon(Sequence[Rotate[PCenter + (spyRadius - 0.05, 0), K, PCenter], K, 0, 360°, 0.5]) → spyGlass
11. Angle(A5, B5, C5) → D5
12. Angle(A6, B6, C6) → D6
13. Angle(A7, B7, C7) → D7
14. Angle(A8, B8, C8) → D8
15. Angle(A9, B9, C9) → D9
16. Angle(A10, B10, C10) → D10
17. Angle(A11, B11, C11) → D11
18. Angle(A12, B12, C12) → D12
19. Angle(A13, B13, C13) → D13
20. Angle(A14, B14, C14) → D14
21. Distance(B5, PCenter) → E5
22. Distance(B6, PCenter) → E6
23. Distance(B7, PCenter) → E7
24. Distance(B8, PCenter) → E8
25. Distance(B9, PCenter) → E9
26. Distance(B10, PCenter) → E10
27. Distance(B11, PCenter) → E11
28. Distance(B12, PCenter) → E12
29. Distance(B13, PCenter) → E13
30. Distance(B14, PCenter) → E14
31. Rotate(A23, pi / 2, B23) → C23
32. Rotate(C22, pi, B22) → A22
33. Element({B17:B28, B31:B43, B5:B14}, currPic) → allCenters
34. Angle(A17, B17, C17) → D17
35. Angle(A18, B18, C18) → D18
36. Angle(A19, B19, C19) → D19
37. Angle(A20, B20, C20) → D20
38. Angle(A21, B21, C21) → D21
39. Angle(A22, B22, C22) → D22
40. Angle(A23, B23, C23) → D23
41. Angle(A24, B24, C24) → D24
42. Angle(A25, B25, C25) → D25
43. Angle(A26, B26, C26) → D26
44. Angle(A27, B27, C27) → D27
45. Angle(A28, B28, C28) → D28
46. Distance(B17, PCenter) → E17
47. Distance(B18, PCenter) → E18
48. Distance(B19, PCenter) → E19
49. Distance(B20, PCenter) → E20
50. Distance(B21, PCenter) → E21
51. Distance(B22, PCenter) → E22
52. Distance(B23, PCenter) → E23
53. Distance(B24, PCenter) → E24
54. Distance(B25, PCenter) → E25
55. Distance(B26, PCenter) → E26
56. Distance(B27, PCenter) → E27
57. Distance(B28, PCenter) → E28
58. Element({A17:A28, A31:A43, A5:A14}, currPic) → allBranchA
59. Element({C17:C28, C31:C43, C5:C14}, currPic) → allBranchC
60. Rotate(C31, pi, B31) → A31
61. Rotate(A34, pi, B34) → C34
62. Rotate(A35, pi / 2, B35) → C35
63. Rotate(A40, pi / 2, B40) → C40
64. Rotate(A41, pi / 2, B41) → C41
65. Rotate(A42, pi, B42) → C42
66. Angle(A31, B31, C31) → D31
67. Angle(A32, B32, C32) → D32
68. Angle(A33, B33, C33) → D33
69. Angle(A34, B34, C34) → D34
70. Angle(A35, B35, C35) → D35
71. Angle(A37, B37, C37) → D37
72. Angle(A38, B38, C38) → D38
73. Angle(A39, B39, C39) → D39
74. Angle(A40, B40, C40) → D40
75. Angle(A41, B41, C41) → D41
76. Angle(A42, B42, C42) → D42
77. Distance(B31, PCenter) → E31
78. Distance(B32, PCenter) → E32
79. Distance(B33, PCenter) → E33
80. Distance(B34, PCenter) → E34
81. Distance(B35, PCenter) → E35
82. Distance(B36, PCenter) → E36
83. Distance(B37, PCenter) → E37
84. Distance(B38, PCenter) → E38
85. Distance(B39, PCenter) → E39
86. Distance(B40, PCenter) → E40
87. Distance(B41, PCenter) → E41
88. Distance(B42, PCenter) → E42
89. Angle(A43, B43, C43) → D43
90. Distance(B43, PCenter) → E43
91. Element({B17:B28, B31:B43, B5:B14}, currPic) → currLocations
92. If(currPic ≟ 2, 1, 1.5) → armLength
93. Zip(polyAngle[A, B, C, 0.1, lengthArm, lengthArm], A, allBranchA, B, allCenters, C, allBranchC) → allPolyAngle
94. Zip(IntersectPath[A, spyGlass], A, allPolyAngle) → allVisibleAngles
95. Text((("\text{" * allAngleTypes(displayIndex)) * "}"), PCenter + (0, 1.3), true, true, 0, 0) → showAngleType