椭圆双曲线抛物线通径长度

椭圆双曲线抛物线通径长度英文回答：
Ellipse, Hyperbola, Parabola, and Latus Rectum.
In geometry, an ellipse, hyperbola, and parabola are all conic sections, which are curves formed by the intersection of a plane with a cone. Each of these conic sections has a unique set of properties, including the length of the latus rectum.
The latus rectum of a conic section is a line segment that is perpendicular to the axis of symmetry and passes through a focus of the conic section. The length of the latus rectum is equal to the product of the distance from the center to a vertex and the distance from the center to a focus.
For an ellipse, the length of the latus rectum is:
2b^2/a.
where a and b are the semi-major and semi-minor axes of the ellipse, respectively.
For a hyperbola, the length of the latus rectum is:
2b^2/a.
where a and b are the semi-transverse and semi-conjugate axes of the hyperbola, respectively.
For a parabola, the length of the latus rectum is simply:
4p.
where p is the distance from the vertex to the focus of the parabola.
The latus rectum is an important property of conic sections because it can be used to determine the
eccentricity of the conic section. The eccentricity is a measure of how much the conic section deviates from a circle. For an ellipse, the eccentricity is given by:
sqrt(1 (b^2/a^2))。

For a hyperbola, the eccentricity is given by:
sqrt(1 + (b^2/a^2))。

And for a parabola, the eccentricity is equal to 1.
中文回答：
椭圆、双曲线、抛物线和准线长度。

在几何学中，椭圆、双曲线和抛物线都是圆锥曲线，它是平面与圆锥相交形成的曲线。

这些圆锥曲线各具有一系列独特的性质，包括准线长度。

圆锥曲线的准线是一条垂直于对称轴且经过圆锥曲线的一个焦点的线段。

准线长度等于从中心到顶点的距离与从中心到焦点的距
离的乘积。

对于椭圆，准线长度为：
2b^2/a.
其中 a 和 b 分别是椭圆的半长轴和半短轴。

对于双曲线，准线长度为：
2b^2/a.
其中 a 和 b 分别是双曲线的半横轴和半共轭轴。

对于抛物线，准线长度很简单：
4p.
其中 p 是抛物线从顶点到焦点的距离。

准线是圆锥曲线的一个重要性质，因为它可以用来确定圆锥曲线的离心率。

离心率是衡量圆锥曲线偏离圆形的程度。

对于椭圆，
离心率的计算公式为：
sqrt(1 (b^2/a^2))。

对于双曲线，离心率的计算公式为： sqrt(1 + (b^2/a^2))。

对于抛物线，离心率等于 1。