汉英词典
Chinese-English Dictionary
MEANING OF 双曲线
双曲线 (雙曲線)
hyperbola
圆锥曲线的一种。指平面上到两个定点的距离之差的绝对值等于定长的点的轨迹。两个定点f与f′称为双曲线的焦点,两个焦点间的距离称为焦距。与此等价的定义是到一个定点f与一条定直线d的距离之比为大于1的常数的点的轨迹。这个定点为双曲线的一个焦点,定直线为双曲线的一条准线,这个常数为双曲线的离心率。设双曲线的焦距为2c,动点到两个定点距离的差的绝对值等于2a(c>a>0),取两焦点所在直线为x轴,两焦点确定的线段中点为原点,建立直角坐标系,则双曲线的标准方程为x2a2-y2b2=1,其中b2=c2-a2(b>0)。双曲线的离心率e=ca,准线方程为x=±a2c,双曲线x2[]a2-y2[]b2=1有两条渐近线,它们的方程为x2[]a±y2[]b=0。
() shuāng qū/qǔ 线 () xiàn
EXAMPLE SENTENCES

球面上共焦点之椭圆、双曲线,在球心投影中仍投影成共焦椭圆、双曲线

The cofocal ellipse and hyperbola of spherical surface will also be projected into the cofocal ellipse and hyperbola in gnomonic projection.

上面这个是f的等高线,黄色的就是双曲线

That is the contour plot of f with a hyperbola on top of it.

本论文是在研究三角形的双曲线的理论。

The purpose of this thesis is to study the theory of hyperbolas of triangles.

它的双曲线钢筋混凝土外形成了发电站的典型标志。

Its hyperbola ferroconcrete appearance became the typical symbol of power station.

则会得到一个正交双曲线,原点与它最接近的点之间的距离是r。

You will have drawn a rectangular hyberbola whose point of closest approach to the origin is r.

作为应用,给出了双曲线、双曲正弦曲线与指数曲线的UAHB 样条精确表示。

As an application, hyperbolic curves, hyperbolic sine curves and exponentcurves are explicitly expressed by the 3-order and 4-order UAH B-splines.

通过比较,可以利用等轴双曲线表征发散曲线,从而得出求解发散速压的简便公式。

The divergence curve may be characterized by isometric hyperbola through comparison of the drawn curve.

双曲线型非线性系统同宿切面点和同宿横截点的存在,使得其时间序列的去噪或轨迹重影变得十分困难。

The presence of homoclinic tangencies and homoclinic intersection makes it difficult if not impossible, to denoise or shadow the trajectory of a non-hyperbolic nonlinear system.

利用保角变换,首先在二维平面得到双曲线型的等位线簇方程,然后过渡到三维空间,从而得到表面为单叶双曲面(两实半轴相等)的带电导体的等位面簇方程。

Transition to the three-dimensional space, then we obtain the equation of equipotential surface families of charged conductor with surface of hyperboloid of one sheet.