n.双曲线

原形：hyperbola复数：hyperbolas

The hyperbola is a type of conic section formed by the intersection of a cone with a plane.
双曲线是通过圆锥与平面的相交形成的圆锥截面的一种。
The foci of a hyperbola are two fixed points that define the shape of the curve.
双曲线的焦点是定义曲线形状的两个固定点。
As you move along the hyperbola, the distance between the point and each focus remains constant.
当你沿着双曲线移动时，该点与每个焦点之间的距离保持不变。
The equation of a hyperbola can be written in standard form as (x-h)^2/a^2 - (y-k)^2/b^2 = 1.
双曲线的标准方程可以写为(x-h)^2/a^2 - (y-k)^2/b^2 = 1。
The vertices of a hyperbola are the two points where the curve intersects its transverse axis.
双曲线的顶点是曲线与其横轴相交的两点。
A hyperbola has two asymptotes, which are lines that the curve approaches but never touches.
双曲线有两个渐近线，它们是曲线接近但永不接触的线。
If the transverse axis of a hyperbola is vertical, then the equation will have y terms on the left side.
如果双曲线的横轴是垂直的，则方程的左边将有y项。
To graph a hyperbola, find the center, vertices, and foci, and use them to plot the curve.
要绘制双曲线，请找到中心、顶点和焦点，并使用它们来绘制曲线。
The eccentricity of a hyperbola measures how "spread out" the curve is from its center.
双曲线的离心率衡量了曲线从其中心“分散”的程度。
In astronomy, hyperbolic orbits describe the path of an object approaching or leaving a planet at high speed.
在天文学中，双曲线轨道描述了以高速接近或离开行星的物体的路径。