将 2π/3 弧度转换为角度的 GeoGebra 示例

GeoGebra 命令及参数

1. LaTeX(steps) → counter
2. LaTeX("\text{Determine which conversion factor to use.}") → text1
3. LaTeX("\text{Set up the multiplication.}") → text4
4. GCD(combnum, combden) → gcf
5. LaTeX((((("\textcolor{#000099}{\frac{" * combnum) * "^{\circ}}{") * combden) * "}}")) → text7
6. If(denom ≟ 1, LaTeX["\text{=}"], LaTeX["\text{\approx}"]) → equivalence
7. LaTeX((((((((("\textcolor{#000099}{\frac{" * radnum) * "\pi}{") * radden) * "}radians \text{ }") * equivalence) * "\text{ } ") * angleDeg) * "^{\circ}}")) → text10
8. LaTeX((((("\text{Multiply }\frac{" * radnum) * " \pi}{") * radden) * "} \text{ radians by the conversion factor.}")) → text3
9. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → text11
10. LaTeX("\text{Recall that }\pi\text{ radians = 180°. Thus, }\frac{180°}{\pi\text{ }radians}\text{ = 1, since dividing}\cr\text{one quantity by its equivalent is equal to 1. Since radians need to be}\cr\text{converted to degrees, multiply by }\frac{180°}{\pi}\text{ so that the radians in the}\cr\text{denominator will cancel out and degrees will remain.}") → text2
11. LaTeX("\text{Reduce the fraction, if possible.}") → text8
12. LaTeX((((((((((((((("\text{The greatest common factor of }\textcolor{#000099}{" * combnum) * "}\text{ and }\textcolor{#000099}{") * combden) * "}\text{ is }\textcolor{#000099}{") * gcf) * "}\text{, so the reduced}\cr\text{form of the exact measure of }\textcolor{#000099}{\frac{") * radnum) * "\pi\text{ radians}}{") * radden) * "}}\text{ in degrees is }\textcolor{#000099}{\frac{") * numer) * "°}{") * denom) * "}}.")) → text9
13. LaTeX((((("\textcolor{#000099}{\frac{" * radnum) * " \pi\text{ }radians}{") * radden) * "}\bullet\frac{180^{\circ}}{\pi\text{ }radians}}")) → text5
14. LaTeX((((("\text{Convert}\frac{" * radnum) * " \pi}{") * radden) * "} \text{radians to degrees.}")) → Problem
15. LaTeX("\text{Multiply, and cancel out the }\pi \text{ radians.}") → text6