单位圆上绘制指定弧度角（CCGPS AA 5.1.2 示例1）

GeoGebra 命令及参数

1. LaTeX(steps) → counter
2. Circle((0, 0), 1) → c
3. LaTeX("\text{0 radians}") → zero
4. LaTeX("\text{Sketch the angle.}") → text3
5. If(angleNum / angleDen < 1, Sequence[i / angleDen, i, 1, angleDen - 1], Sequence[1 + i / angleDen, i, 1, angleDen - 1]) → list1
6. Zip((cos((a * π)), sin((a * π))), a, list1) → list2
7. Zip(Segment[(0, 0), a], a, list2) → list3
8. Segment((0, 0), C) → a
9. Segment((0, 0), (1, 0)) → b
10. Angle(A, (0, 0), C) → α
11. LaTeX("\text{Move the slider to solve the problem.}") → text0
12. LaTeX("\text{Sketch a unit circle, and then label }\pi\text{ radians and 2}\pi\text{ radians.}") → text1
13. LaTeX("\text{A half rotation (180°) is π radians and a full rotation (360°) is 2π radians. }\cr\text{Notice that 0 radians and 2π radians are in the same location on the unit circle, }\cr\text{but represent different angle measures.}") → text2
14. LaTeX("\text{Use the buttons below to step through the solutions for the other angles}\cr\text{in the problem or randomly generate a similar practice problem.}") → text5
15. LaTeX((((("\frac{" * angleNum) * "\pi}{") * angleDen) * "} radian(s)")) → Problem
16. If(angleNum / angleDen < 1, LaTeX[(((((((((((((((((("\frac{" * angleNum) * "π}{") * angleDen) * "}\text{is the same as }\frac{") * angleNum) * "}{") * angleDen) * "}π.\cr\text{In other words, the terminal side is }\frac{") * angleNum) * "}{") * angleDen) * "}\text{ of the way from 0 to π.}\cr\text{Thus, imagine the semicircle between 0 radians and π radians split into ") * angleDen) * " parts}\cr\text{and then sketch the angle }\frac{") * angleNum) * "}{") * angleDen) * "}\text{ of the way around the semicircle.}")], LaTeX[(((((((((((((((((("\frac{" * angleNum) * "π}{") * angleDen) * "}\text{is the same as }\left(1+\frac{") * newNum) * "}{") * angleDen) * "}\right)π.\cr\text{In other words, the terminal side is }\frac{") * newNum) * "}{") * angleDen) * "}\text{ of the way from π to 2π.}\cr\text{Thus, imagine the semicircle between π radians and 2π radians split into ") * angleDen) * " parts}\cr\text{and then sketch the angle }\frac{") * newNum) * "}{") * angleDen) * "}\text{ of the way around the semicircle.}")]) → text4