ellipse

简明释义

[ɪˈlɪps][ɪˈlɪps]

n. [数] 椭圆形,[数] 椭圆

复 数 e l l i p s e s

英英释义

A closed curve that is the locus of points for which the sum of the distances from two fixed points (foci) is constant.

一个封闭的曲线,是从两个固定点(焦点)到该曲线上任意一点的距离之和为常数的点的轨迹。

An elongated circle, or an oval shape.

一种拉长的圆形,或椭圆形状。

单词用法

conic section

圆锥曲线

elliptical orbit

椭圆轨道

ellipse of the sun

太阳的椭圆形

draw an ellipse

画一个椭圆

ellipse shape

椭圆形

ellipse equation

椭圆方程

同义词

oval

椭圆

The orbit of planets is often described as an oval shape.

行星的轨道通常被描述为椭圆形。

circle

In geometry, a circle is a special case of an ellipse.

在几何学中,圆是椭圆的特例。

ellipse

椭圆形

The artist used an ellipse to create a sense of depth in the painting.

艺术家使用椭圆形来营造画作的深度感。

反义词

line

线

The shortest distance between two points is a straight line.

两点之间的最短距离是一条直线。

circle

A circle is a special type of ellipse where both foci coincide.

圆是椭圆的一种特殊类型,其中两个焦点重合。

例句

1.One characteristic of Earth's orbit is its eccentricity, the degree to which the orbit is an ellipse rather than a circle.

地球轨道的一个特点是它的离心率,也就是轨道是椭圆而不是圆形的程度。

2.It's the focus of the ellipse.

它是椭圆型的焦点。

3.Cutting the cone at various angles gives you various shapes of ellipse. Until the angle of your cut exceeds the angle of the side of the cone.

从侧面不同角度切割圆锥,你便会得到不同的椭圆,直到你的切割角度超过圆锥体侧边的角度。

4.Now I will add a shadow, I will select ellipse tool and I will create a shape below the header.

好了,添加一些阴影。我用的是椭圆工具,在头部下面创建一个细长的形状。

5.The main axis of the planet's orbital ellipse shifts each time when it goes around the sun.

当行星绕太阳运行时,其轨道椭圆的主轴每次都会改变。

6.So as long as the angle of the cut comes shortof the angle of the cone's side it is an ellipse.

所以,只要你切割的角度达不到圆锥侧边的角度,它依然是椭圆。

7.The ellipse function also takes four arguments, defining the location and width/height.

ellipse函数也接受四个参数,分别定义位置和宽/高度。

8.In astronomy, the orbits of many celestial bodies are elliptical, resembling an ellipse.

在天文学中,许多天体的轨道是椭圆形的,类似于一个椭圆

9.The ellipse is a conic section that can be formed by slicing a cone at an angle.

当以一定角度切割锥体时,可以形成一个椭圆,它是一种圆锥曲线。

10.The shape of the planet's orbit is an ellipse.

行星轨道的形状是一个椭圆

11.In geometry class, we learned how to draw an ellipse using a compass.

在几何课上,我们学习了如何用圆规画一个椭圆

12.An ellipse can be defined as a set of points where the sum of distances to two foci is constant.

一个椭圆可以定义为一组点,这些点到两个焦点的距离之和是恒定的。

作文

The concept of an ellipse is fundamental in both mathematics and the natural sciences. An ellipse is defined as a closed curve that results from the intersection of a plane with a cone, where the plane does not intersect the base of the cone. This geometric shape is characterized by its two focal points, which have unique properties related to distance and symmetry. In everyday life, we encounter ellipses more often than we might realize. For instance, the orbits of planets around the sun are not perfect circles but rather elongated ellipses. This was famously described by Johannes Kepler in the early 17th century, who formulated his laws of planetary motion based on the elliptical paths of celestial bodies.Understanding the properties of an ellipse can enhance our comprehension of various scientific phenomena. For example, in physics, the trajectory of projectiles can be modeled using the equations of ellipses, allowing scientists to predict their paths accurately. The mathematical representation of an ellipse involves its major and minor axes, which define its size and shape. The major axis is the longest diameter of the ellipse, while the minor axis is the shortest. The ratio of these axes determines how 'stretched' or 'compressed' the ellipse appears.In art and design, the ellipse also plays a crucial role. Artists often use ellipses to create perspective and depth in their work. For instance, when drawing objects like cylinders or spheres, artists will depict the top view as an ellipse to convey the three-dimensionality of the object. This technique is essential for achieving realism in visual arts. Moreover, in architecture, the ellipse serves as a guiding principle for creating aesthetically pleasing structures. Many famous buildings feature elliptical designs that not only enhance their beauty but also improve acoustics and sight lines within the space. The Sydney Opera House, for example, exhibits elliptical shapes that contribute to its iconic profile and functional performance.In conclusion, the ellipse is a shape that extends beyond mere geometry; it is a concept that permeates various fields such as astronomy, physics, art, and architecture. By understanding the ellipse, we gain insights into the fundamental principles that govern the universe and the creative expressions of humanity. Whether we are observing the stars, designing a building, or creating a piece of art, the ellipse remains a significant element that bridges science and creativity. Its unique properties and applications remind us of the interconnectedness of different disciplines and the beauty of mathematical relationships in our world.

“椭圆”这个概念在数学和自然科学中是基础性的。“椭圆”被定义为一个封闭的曲线,它是平面与锥体相交的结果,其中平面不与锥体的底部相交。这个几何形状的特点是它有两个焦点,这些焦点与距离和对称性相关的独特属性。在日常生活中,我们比我们意识到的更常遇到“椭圆”。例如,行星围绕太阳的轨道并不是完美的圆,而是拉长的“椭圆”。这在17世纪初由约翰尼斯·开普勒著名地描述,他基于天体的椭圆路径制定了行星运动定律。理解“椭圆”的性质可以增强我们对各种科学现象的理解。例如,在物理学中,抛射物的轨迹可以使用“椭圆”的方程进行建模,从而使科学家能够准确预测它们的路径。“椭圆”的数学表示涉及其长轴和短轴,这些定义了其大小和形状。长轴是“椭圆”的最长直径,而短轴是最短的。这些轴的比例决定了“椭圆”看起来有多“拉伸”或“压缩”。此外,在艺术和设计中,“椭圆”也发挥着至关重要的作用。艺术家经常使用“椭圆”来创造透视和深度。例如,在绘制圆柱体或球体等物体时,艺术家会将顶部视图描绘为“椭圆”,以传达物体的三维感。这种技术对于在视觉艺术中实现现实主义至关重要。此外,在建筑中,“椭圆”作为创造美观结构的指导原则。许多著名建筑采用“椭圆”的设计,不仅提升了其美感,还改善了空间内的声学效果和视线。悉尼歌剧院就是一个例子,它展现的“椭圆”形状有助于其标志性的轮廓和功能表现。总之,“椭圆”是一种超越单纯几何形状的形态;它是一个渗透到天文学、物理学、艺术和建筑等多个领域的概念。通过理解“椭圆”,我们获得了对支配宇宙的基本原则和人类创造性表达的见解。无论我们是在观察星星、设计建筑,还是创造艺术作品,“椭圆”始终是一个重要的元素,连接着科学与创造力。它独特的性质和应用提醒我们不同学科之间的相互联系,以及我们世界中数学关系的美丽。