dihedral angle

简明释义

二面角

英英释义

例句

1.In geometry, the dihedral angle between two intersecting planes can be measured using a protractor.

在几何学中，两个相交平面之间的二面角可以用量角器测量。

2.The dihedral angle formed by the wings of an airplane affects its aerodynamic properties.

飞机机翼形成的二面角影响其气动特性。

3.The dihedral angle is crucial in determining the stability of molecular structures.

在确定分子结构的稳定性时，二面角是至关重要的。

4.Architects often consider the dihedral angle when designing roofs to ensure proper drainage.

建筑师在设计屋顶时常常考虑二面角以确保适当的排水。

5.In crystallography, the dihedral angle between two planes can indicate the type of crystal system.

在晶体学中，两个平面之间的二面角可以指示晶体系统的类型。

作文

In the study of geometry and three-dimensional shapes, the concept of a dihedral angle is crucial for understanding the relationships between various planes. A dihedral angle is defined as the angle formed by two intersecting planes. This angle can be visualized as the angle between two walls meeting at a corner in a room or the angle between the wings of a folded piece of paper. The measurement of a dihedral angle is typically expressed in degrees or radians, providing a quantitative way to describe the orientation of these planes relative to each other.The importance of dihedral angles extends beyond pure mathematics; it plays a significant role in fields like chemistry, architecture, and engineering. For instance, in chemistry, the dihedral angle is essential in understanding the conformation of molecules. Molecules are composed of atoms that are connected by bonds, and the spatial arrangement of these atoms can significantly influence the properties and reactivity of the molecule. By examining the dihedral angles between different bonds in a molecule, chemists can predict how the molecule will behave in a reaction or how it will interact with other substances.In architecture, the concept of a dihedral angle is also vital. Architects must consider the dihedral angles of various structural elements to ensure stability and aesthetic appeal. For example, when designing a roof, the architect needs to calculate the dihedral angles formed by the intersection of the roof planes to create a visually pleasing and structurally sound design. The careful consideration of these angles can lead to innovative designs that attract attention and serve functional purposes.Moreover, in engineering, particularly in mechanical and aerospace engineering, the dihedral angle is crucial for understanding the aerodynamics of aircraft. The wings of an airplane are designed with specific dihedral angles to enhance stability during flight. A wing with a positive dihedral angle will provide better roll stability, which is essential for maintaining control of the aircraft. Engineers must meticulously calculate these angles to optimize performance and safety.In conclusion, the dihedral angle is a fundamental concept that spans multiple disciplines. Its definition as the angle between two intersecting planes allows for a deeper understanding of geometric relationships, molecular structures, and practical applications in architecture and engineering. As we continue to explore the intricacies of shapes and forms in our world, the significance of dihedral angles will undoubtedly remain a key area of focus for both theoretical exploration and practical implementation.

在几何学和三维形状的研究中，二面角的概念对于理解各种平面之间的关系至关重要。二面角被定义为由两个相交平面形成的角度。这个角度可以通过想象房间里相遇的两面墙或折叠纸张的翅膀之间的角度来可视化。二面角的测量通常以度或弧度表示，为描述这些平面相对于彼此的方向提供了定量的方法。二面角的重要性不仅限于纯数学，它在化学、建筑和工程等领域也发挥着重要作用。例如，在化学中，二面角对于理解分子的构象至关重要。分子由原子通过键连接而成，这些原子的空间排列会显著影响分子的性质和反应性。通过检查分子中不同键之间的二面角，化学家可以预测分子在反应中的行为或与其他物质的相互作用。在建筑学中，二面角的概念同样至关重要。建筑师必须考虑各种结构元素的二面角以确保稳定性和美观。例如，在设计屋顶时，建筑师需要计算屋顶平面相交所形成的二面角，以创造出既美观又结构稳固的设计。对这些角度的仔细考虑可以导致创新的设计，吸引眼球并服务于功能目的。此外，在工程学，特别是机械和航空航天工程中，二面角对于理解飞机的空气动力学至关重要。飞机的翼部设计具有特定的二面角，以增强飞行过程中的稳定性。具有正二面角的机翼将提供更好的滚转稳定性，这对于保持飞机的控制至关重要。工程师必须仔细计算这些角度，以优化性能和安全性。总之，二面角是一个跨越多个学科的基本概念。它作为两个相交平面之间角度的定义，使我们能够更深入地理解几何关系、分子结构以及在建筑和工程中的实际应用。随着我们继续探索世界中形状和形式的复杂性，二面角的重要性无疑将继续是理论探索和实际应用的关键关注领域。