coplanarity

简明释义

英[kəʊpləˈnærəti]美[koʊpləˈnærəti]

n. [数] 共面性；共面；同面性

英英释义

单词用法

同义词

反义词

例句

1.The results indicate that the kind and position of the substituents in aniline ring greatly affected the conjugation system and coplanarity of the products.

结果表明，苯环上取代基的种类及位置对化合物分子的共轭体系及共平面程度有较大影响。

2.The system collects coplanarity data of the sensor by a data acquisition card.

同时通过数据采集卡读取激光感应器所返回的平面度数据。

3.The electronic properties of the polymers and their model compounds are well correlated with the acceptor strength, coplanarity of the backbone, and intramolecular charge transfer.

的电子性质的聚合物和它们的模型化合物的良好的相关性与承兑人强度，骨干的共面性，和分子内电荷转移。

4.The electronic properties of the polymers and their model compounds are well correlated with the acceptor strength, coplanarity of the backbone, and intramolecular charge transfer.

的电子性质的聚合物和它们的模型化合物的良好的相关性与承兑人强度，骨干的共面性，和分子内电荷转移。

5.During the assembly process, any deviation from coplanarity 共面性 could lead to structural issues.

在组装过程中，任何偏离coplanarity 共面性的情况都可能导致结构问题。

6.The engineers conducted a test to ensure the coplanarity 共面性 of the structural beams before installation.

工程师在安装之前进行了测试，以确保结构梁的coplanarity 共面性。

7.To achieve accurate measurements, it is important to verify the coplanarity 共面性 of the surfaces being measured.

为了获得准确的测量，验证被测表面的coplanarity 共面性 是很重要的。

8.The architect emphasized the importance of coplanarity 共面性 in the design of the building's facade.

建筑师强调了在建筑外立面设计中coplanarity 共面性的重要性。

9.In geometry, the concept of coplanarity 共面性 is crucial for understanding the relationships between points, lines, and planes.

在几何学中，coplanarity 共面性 的概念对于理解点、线和面的关系至关重要。

作文

In the field of geometry, the concept of coplanarity plays a crucial role in understanding the relationships between points, lines, and planes. Coplanarity refers to the condition where three or more points lie on the same geometric plane. This fundamental principle is not only essential in theoretical mathematics but also has practical applications in various fields such as engineering, architecture, and computer graphics.To comprehend coplanarity, one must first grasp the basic definitions of points and planes. A point is a precise location in space that has no dimensions, while a plane is a flat, two-dimensional surface that extends infinitely in all directions. When we say that points are coplanar, we mean that they can be connected by straight lines that do not deviate from the plane they reside in.One of the simplest ways to visualize coplanarity is through a piece of paper. Imagine placing three distinct dots on the surface of the paper. As long as these dots are positioned on the same sheet, they are considered coplanar. However, if one of the dots is lifted off the paper, it no longer shares the same plane with the other two, thus breaking the condition of coplanarity.The importance of coplanarity becomes evident when we explore its implications in real-world scenarios. For instance, in architectural design, ensuring that structural elements such as beams and columns are coplanar is vital for maintaining the stability and integrity of a building. If these elements were not aligned properly within the same plane, it could lead to structural failures or unsafe conditions.In engineering, coplanarity is equally significant. Engineers often need to ensure that components of machinery or devices are coplanar to function correctly. Misalignment can cause wear and tear or even catastrophic failures in mechanical systems. Therefore, understanding and applying the concept of coplanarity is essential for engineers to design safe and efficient products.Computer graphics also rely heavily on the principles of coplanarity. When creating 3D models, artists and programmers must determine how different objects interact within a virtual space. If objects are not coplanar, rendering them accurately can become a complex task, leading to visual errors and inconsistencies in the final output.In conclusion, coplanarity is a fundamental concept in geometry that extends beyond theoretical mathematics into practical applications across various disciplines. Understanding the relationships between points and planes allows professionals in architecture, engineering, and computer graphics to create stable structures, functional machinery, and visually accurate representations. By mastering the concept of coplanarity, individuals can enhance their skills and contribute effectively to their respective fields.

在几何学领域，共面性的概念在理解点、线和面的关系中起着至关重要的作用。共面性是指三个或更多点位于同一几何平面上的条件。这个基本原理不仅在理论数学中是必不可少的，而且在工程、建筑和计算机图形学等多个领域具有实际应用。要理解共面性，首先必须掌握点和平面的基本定义。点是空间中的一个精确位置，没有维度，而平面是一个平坦的二维表面，向所有方向无限延伸。当我们说点是共面的时，我们的意思是它们可以通过直线连接，而这些直线不会偏离它们所处的平面。可视化共面性的最简单方法之一是通过一张纸。想象一下在纸的表面上放置三个不同的点。只要这些点位于同一张纸上，它们就被认为是共面的。然而，如果其中一个点被抬离纸面，它就不再与其他两个点共享同一平面，从而打破了共面性的条件。共面性的重要性在我们探索其在现实世界场景中的影响时变得显而易见。例如，在建筑设计中，确保结构元素如梁和柱是共面的对于保持建筑的稳定性和完整性至关重要。如果这些元素没有正确对齐在同一平面上，可能会导致结构失败或不安全的条件。在工程中，共面性同样重要。工程师通常需要确保机械或设备的组件是共面的，以便正常运作。错位可能导致磨损甚至机械系统的灾难性故障。因此，理解和应用共面性的概念对于工程师设计安全高效的产品至关重要。计算机图形学也在很大程度上依赖于共面性的原理。在创建3D模型时，艺术家和程序员必须确定不同对象在虚拟空间中的相互作用。如果对象不是共面的，那么准确渲染它们可能会变得复杂，导致最终输出中的视觉错误和不一致。总之，共面性是几何学中的一个基本概念，超越了理论数学，扩展到多个学科的实际应用。理解点与面之间的关系使建筑、工程和计算机图形学等专业人士能够创建稳定的结构、功能齐全的机械和视觉上准确的表示。通过掌握共面性的概念，个人可以增强自己的技能，并有效地为各自的领域做出贡献。