极坐标下的圆锥曲线

GeoGebra 命令及参数

1. CurveCartesian((g(t) * cos(t)), (g(t) * sin(t)), t, 0, (2 * π)) → b
2. CurveCartesian((h(t) * cos(t)), (h(t) * sin(t)), t, 0, (2 * π)) → c
3. CurveCartesian((p(t) * cos(t)), (p(t) * sin(t)), t, 0, (2 * π)) → i
4. CurveCartesian((f(t) * cos(t)), (f(t) * sin(t)), t, 0, (2 * π)) → a
5. Point(a) → A
6. Tangent(A, a) → j
7. LaTeX("\textcolor{#009900}{r(\theta)=\frac{ed}{1+e\sin(\theta)}}") → text4
8. LaTeX("\textcolor{#CC0000}{r(\theta)=\frac{ed}{1+e\cos(\theta)}}") → text1
9. LaTeX("\textcolor{#0000FF}{r(\theta)=\frac{ed}{1-e\cos(\theta)}}") → text2
10. LaTeX("\textcolor{#800080}{r(\theta)=\frac{ed}{1-e\sin(\theta)}}") → text3
11. Intersect(xAxis, yAxis) → B