paraboloidal

简明释义

[pəˈræbəˌlɔɪdl][pəræbəˈlɔɪdl]

adj. 抛物面的;抛物线的

英英释义

Relating to or resembling a paraboloid, which is a three-dimensional surface formed by rotating a parabola around its axis.

与抛物面有关或类似,抛物面是通过围绕其轴旋转抛物线而形成的三维表面。

单词用法

paraboloidal surface

抛物面

paraboloidal reflector

抛物反射器

paraboloidal coordinates

抛物坐标

paraboloidal shape

抛物形状

paraboloidal geometry

抛物几何

paraboloidal structure

抛物结构

同义词

parabolic

抛物线的

The parabolic shape of the satellite dish allows for better signal reception.

卫星天线的抛物线形状可以更好地接收信号。

curved

曲面的

In mathematics, a paraboloidal surface is defined as a surface generated by rotating a parabola around its axis.

在数学中,抛物面被定义为围绕其轴旋转抛物线生成的表面。

hyperbolic

双曲线的

The architect designed a building with a curved roof that resembled a paraboloid.

建筑师设计了一座屋顶呈曲线形状的建筑,类似于抛物面。

反义词

spherical

球形的

The design features a spherical dome that contrasts with the paraboloidal shape of the satellite dish.

这个设计有一个球形的穹顶,与卫星天线的抛物面形状形成对比。

cylindrical

圆柱形的

The cylindrical tank is more efficient for storage than a paraboloidal container.

圆柱形的储罐比抛物面容器更有效率。

例句

1.The primary mirror. This is the paraboloidal mirror at the bottom of the tube.

是位于镜筒底部的一块抛物面 镜。

2.Therefore, it has been one of the difficult problems which are urgent to solve that the study of electromagnetic coupling between high-frequency antennas such as paraboloidal antennas.

因此,研究抛物面天线等高频天线之间的电磁耦合成为迫切需要解决的难题之一。

3.The invention relates to a concentrator of a coaxial confocal rotating paraboloidal mirror, belonging to the technical field of parallel light convergence.

本发明是一种同轴共焦旋转抛物面镜聚光器,属于平行光汇聚的技术领域。

4.This is the paraboloidal mirror at the bottom of the tube.

是位于镜筒底部的一块抛物面镜。

5.A corrugated conical horn antenna with high-gain and low-sidelobe feeding the paraboloidal reflector antenna to reduce the cost is designed.

文中设计了一种加扼流环的圆锥喇叭来作为抛物面的馈源,实现低成本的高增益、低旁瓣的收发天线系统。

6.Therefore, it has been one of the difficult problems which are urgent to solve that the study of electromagnetic coupling between high-frequency antennas such as paraboloidal antennas.

因此,研究抛物面天线等高频天线之间的电磁耦合成为迫切需要解决的难题之一。

7.In physics, the paraboloidal mirror is used in telescopes to gather light.

在物理学中,抛物面镜用于望远镜以收集光线。

8.The paraboloidal shape of the reflector helps in directing sound waves precisely.

抛物面反射器的形状有助于精确引导声波。

9.The architect chose a paraboloidal design for the roof to enhance acoustics in the concert hall.

建筑师选择了抛物面的屋顶设计,以增强音乐厅的声学效果。

10.Engineers used a paraboloidal structure in the design of the new solar concentrator.

工程师在新太阳能聚光器的设计中使用了抛物面结构。

11.The satellite dish is designed with a paraboloidal shape to focus signals effectively.

卫星天线采用了抛物面的形状以有效聚焦信号。

作文

The concept of shapes and forms is fundamental in various fields, particularly in mathematics and engineering. Among these shapes, the term paraboloidal refers to a specific three-dimensional surface that is defined by a parabola. A paraboloid can be either elliptical or hyperbolic, but it is the elliptical paraboloid that is most commonly encountered in practical applications. The paraboloidal shape is characterized by its ability to focus parallel rays of light to a single point, making it invaluable in the design of satellite dishes and telescopes.In architecture, the use of paraboloidal forms can create stunning visual effects while also providing structural benefits. For instance, the roofs of certain modern buildings utilize the paraboloidal shape to enhance acoustics and distribute loads more effectively. The curvature of a paraboloidal structure allows for a unique interplay of light and shadow, adding aesthetic value to functional designs.Furthermore, in the realm of physics, the properties of paraboloidal surfaces are exploited in various applications, including the design of reflectors. These reflectors are crucial in technologies such as radar and solar energy collection, where the paraboloidal shape ensures that incoming waves or light are directed towards a focal point, maximizing efficiency.Mathematically, the equation of a paraboloidal surface can be expressed in Cartesian coordinates as z = ax² + by², where a and b determine the curvature of the surface. This mathematical representation is essential for engineers and architects who need to calculate the dimensions and properties of paraboloidal structures accurately.In conclusion, the paraboloidal shape is not merely an abstract mathematical concept; it has tangible implications in our daily lives. From the design of high-tech instruments to the creation of visually striking architectural forms, the versatility of paraboloidal surfaces continues to influence various domains. Understanding this shape enhances our appreciation of the intersection between mathematics, science, and art, highlighting the beauty and functionality of geometric forms in the world around us.

形状和形式的概念在各个领域中都是基础,特别是在数学和工程学中。在这些形状中,术语paraboloidal指的是一种特定的三维表面,该表面由抛物线定义。抛物面可以是椭圆形或双曲形,但最常见于实际应用的是椭圆抛物面。paraboloidal形状的特点是能够将平行光线聚焦到一个点,这使得它在卫星天线和望远镜的设计中不可或缺。在建筑学中,使用paraboloidal形状可以创造出惊人的视觉效果,同时提供结构上的好处。例如,某些现代建筑的屋顶利用paraboloidal形状来增强声学效果并更有效地分配负载。paraboloidal结构的曲率使得光与影之间产生独特的相互作用,为功能性设计增添了美学价值。此外,在物理学领域,paraboloidal表面的特性在各种应用中被利用,包括反射器的设计。这些反射器在雷达和太阳能收集等技术中至关重要,其中paraboloidal形状确保入射波或光线朝向焦点方向,最大限度地提高效率。在数学上,paraboloidal表面的方程可以用笛卡尔坐标表示为z = ax² + by²,其中a和b决定了表面的曲率。这个数学表示对于需要准确计算paraboloidal结构的尺寸和特性的工程师和建筑师至关重要。总之,paraboloidal形状不仅仅是一个抽象的数学概念;它在我们的日常生活中有着切实的影响。从高科技仪器的设计到视觉引人注目的建筑形式的创造,paraboloidal表面的多样性继续影响着各个领域。理解这种形状增强了我们对数学、科学和艺术交汇点的欣赏,突显了几何形状在我们周围世界中的美丽和功能性。