paraboloid

简明释义

英[pəˈræbəlɔɪd]美[pəˈræbəˌlɔɪd]

n. 抛物面

英英释义

单词用法

同义词

反义词

例句

1.The system is composed of off-axle paraboloid reflector, cross line target, background light, imaging collecting system and other devices.

该装置由离轴抛物面反射镜、十字靶标、背景光源、图像采集装置及其它附件组成。

2.This paper presents a new algorithm for realtime generation of rotating paraboloid images, which can be extended into quadric surfaces.

本文提出一种全新的，可推广至一般二次曲面的旋转抛物面实时成象的等灰曲度线算法。

3.The efficiency of the half pixel search is improved by using a paraboloid prediction based fast half pixel motion estimation algorithm.

为了加速半像素搜索，提出了一种基于抛物面预测的半像素快速搜索算法。

4.Finally, the approximation by a paraboloid of revolution which has a general meaning for equipotential...

最后对用旋转抛物面作为等位面的近似所具有的普遍意义做了初步的讨论。

5.In this paper, two properties of paraboloid in the textbook analytic geometry is generalized.

摘要将《解析几何》教材中抛物面的两个性质定理推广到更一般的情形。

6.An elliptic paraboloid is proposed as the failure surface for concrete under multiaxial Stresses.

本文用椭圆抛物面作为混凝土三向应力时的强度破坏面。

7.The intensity distribution of parallel light field produced by paraboloid reflector is analysed and its measured result is introduced.

本文从理论上分析了抛物面反射镜产生平行光场的光强分布规律，并介绍了实际测量结果；

8.Architects may utilize a paraboloid structure for its aesthetic and functional qualities.

建筑师可能会利用抛物面结构的美学和功能特性。

9.In mathematics, a paraboloid can be represented by a quadratic equation.

在数学中，抛物面可以用二次方程表示。

10.Engineers often use the paraboloid design in reflectors to enhance light distribution.

工程师们常常在反射器中使用抛物面设计来增强光的分布。

11.The shape of the paraboloid allows for unique properties in optics.

该抛物面的形状在光学中具有独特的性质。

12.The satellite dish is shaped like a paraboloid, which helps it focus signals efficiently.

卫星天线的形状像一个抛物面，这有助于它有效地聚焦信号。

作文

The concept of a paraboloid is fascinating and plays a significant role in various fields of science and engineering. A paraboloid is a three-dimensional surface that can be described mathematically as the graph of a quadratic equation in three variables. Specifically, it is generated by rotating a parabola around its axis of symmetry. This unique shape has numerous applications, particularly in the design of satellite dishes and reflectors. In mathematics, the paraboloid can take two forms: the elliptic paraboloid and the hyperbolic paraboloid. The elliptic paraboloid is shaped like an upward or downward-facing bowl, while the hyperbolic paraboloid resembles a saddle. Understanding these shapes is crucial for engineers who design structures that require specific curvature for optimal performance.One practical application of the paraboloid is in the construction of satellite dishes. These dishes are designed in the shape of an elliptic paraboloid to focus incoming signals onto a single point, known as the focal point. This property allows for efficient signal reception, making satellite communication possible. Similarly, reflectors used in headlights and searchlights often utilize the paraboloid shape to direct light into a beam, enhancing visibility and safety.In physics, the paraboloid also appears in the study of projectile motion. When an object is thrown into the air, its trajectory can be modeled using a parabolic equation, resulting in a paraboloid shape when graphed in three dimensions. This relationship between geometry and physics illustrates how the paraboloid is not just a theoretical construct but has real-world implications.The study of paraboloids extends beyond practical applications; it also invites exploration into the beauty of mathematics. Artists and architects have been inspired by the elegant curves of the paraboloid, incorporating these shapes into their designs. For example, the famous St. Louis Gateway Arch is a catenary arch that closely resembles a paraboloid when viewed from certain angles, demonstrating the aesthetic appeal of this geometric figure.Furthermore, the paraboloid can be found in nature. The shape of some plant leaves, the formation of certain types of clouds, and even the structure of certain animal shells exhibit properties of the paraboloid. This connection between mathematics and the natural world highlights the importance of understanding geometric concepts like the paraboloid in appreciating the complexity and beauty of our environment.In conclusion, the paraboloid is more than just a mathematical term; it is a shape with profound implications across various disciplines. From engineering to art, the paraboloid serves as a bridge between theory and practice, illustrating the interconnectedness of mathematics, science, and the world around us. By studying and understanding the paraboloid, we gain insights not only into mathematical principles but also into the fundamental structures that govern our universe.

抛物面这个概念令人着迷，并在科学和工程的各个领域中发挥着重要作用。抛物面是一个三维表面，可以用三变量的二次方程图形来描述。具体来说，它是通过围绕其对称轴旋转抛物线生成的。这种独特的形状具有许多应用，特别是在卫星天线和反射器的设计中。在数学中，抛物面可以有两种形式：椭圆抛物面和双曲抛物面。椭圆抛物面的形状像一个向上或向下的碗，而双曲抛物面则类似于鞍形。理解这些形状对于设计需要特定曲率以实现最佳性能的结构的工程师至关重要。抛物面的一个实际应用是在卫星天线的构造中。这些天线的形状是椭圆抛物面，以便将传入信号聚焦到一个称为焦点的单一点上。这一特性使得信号接收高效，从而使卫星通信成为可能。类似地，用于汽车前灯和探照灯的反射器通常利用抛物面形状将光线引导成一束光，提高可见性和安全性。在物理学中，抛物面也出现在抛体运动的研究中。当一个物体被抛向空中时，其轨迹可以用抛物线方程建模，在三维图中形成抛物面形状。这种几何形状与物理学之间的关系说明了抛物面不仅仅是一个理论构造，而是具有现实世界的影响。抛物面的研究不仅限于实际应用；它还邀请我们探索数学的美。艺术家和建筑师受到了抛物面优雅曲线的启发，将这些形状融入他们的设计中。例如，著名的圣路易斯拱门是一个链式拱，在某些角度看起来与抛物面相似，展示了这一几何图形的美学吸引力。此外，抛物面可以在自然中找到。一些植物叶子的形状、某些类型云的形成，甚至某些动物壳的结构都表现出抛物面的特性。这种数学与自然界之间的联系突显了理解几何概念（如抛物面）在欣赏我们环境的复杂性和美丽中的重要性。总之，抛物面不仅仅是一个数学术语；它是一种在各个学科中具有深远意义的形状。从工程到艺术，抛物面作为理论与实践之间的桥梁，说明了数学、科学与我们周围世界之间的相互联系。通过学习和理解抛物面，我们不仅获得了数学原理的洞察力，还深入了解了支配我们宇宙的基本结构。