acute dihedral angle

简明释义

锐二面角;

英英释义

例句

1.The architect designed the roof with an acute dihedral angle to enhance the aesthetics of the building.

建筑师设计了一个具有锐二面角的屋顶，以增强建筑的美观性。

2.The acute dihedral angle between the two wings of the aircraft improves its aerodynamic efficiency.

飞机两翼之间的锐二面角提高了其空气动力效率。

3.In geometry, an acute dihedral angle is formed when two planes intersect at an angle less than 90 degrees.

在几何学中，锐二面角是指当两个平面相交时形成的角度小于90度。

4.To calculate the volume of a prism, you need to know the acute dihedral angle between its base and lateral faces.

要计算棱柱的体积，您需要知道其底面和侧面之间的锐二面角。

5.In a tetrahedron, each pair of adjacent faces forms an acute dihedral angle at the edges.

在四面体中，每对相邻的面在边缘处形成一个锐二面角。

作文

In the study of geometry, angles play a crucial role in understanding the properties and relationships of various shapes. One type of angle that is particularly interesting is the acute dihedral angle, which refers to the angle formed between two intersecting planes. This angle is defined as being less than 90 degrees, making it an acute angle by definition. Understanding the concept of an acute dihedral angle is essential for various applications in mathematics, architecture, and engineering.To visualize an acute dihedral angle, imagine two flat surfaces, such as the walls of a room meeting at a corner. The angle created by these two walls forms a dihedral angle. If the angle between them is sharp and less than 90 degrees, we classify it as an acute dihedral angle. This concept is not just theoretical; it has practical implications in design and construction. For instance, architects often utilize acute dihedral angles when designing roofs or angular structures to ensure that they are aesthetically pleasing and structurally sound.Moreover, the acute dihedral angle can also be observed in various natural formations. For example, certain crystal structures exhibit acute dihedral angles between their faces, influencing how light interacts with them and creating beautiful visual effects. In such cases, the acute nature of the angle can significantly affect the physical properties of the crystal, including its cleavage and refraction.The importance of acute dihedral angles extends beyond geometry into fields like physics and computer graphics. In physics, understanding the angles between planes can help in analyzing forces acting on objects. In computer graphics, acute dihedral angles are crucial for rendering three-dimensional models accurately, as they determine how light and shadows are cast on surfaces.Furthermore, in mathematics, the study of acute dihedral angles leads to more advanced concepts such as polyhedra and their properties. A polyhedron is a three-dimensional shape with flat polygonal faces, and the angles between these faces are dihedral angles. When these angles are acute, it influences the overall shape and symmetry of the polyhedron, which can be a fascinating area of exploration for mathematicians.In conclusion, the acute dihedral angle is a fundamental concept in geometry that has far-reaching implications across multiple disciplines. Whether in architecture, natural sciences, or mathematics, understanding this angle enhances our comprehension of the world around us. By recognizing the significance of acute dihedral angles, we can appreciate the intricate relationships between shapes and the principles governing their interactions. As we continue to explore geometry, the knowledge of angles like the acute dihedral angle will undoubtedly remain a vital part of our understanding of spatial relationships and design principles.

在几何学的研究中，角度在理解各种形状的属性和关系方面起着至关重要的作用。其中一个特别有趣的角度是锐二面角，它指的是由两个相交平面形成的角。这个角被定义为小于90度，因此根据定义，它是一个锐角。理解锐二面角的概念对于数学、建筑和工程等各种应用至关重要。要想象锐二面角，可以想象两个平坦的表面，例如房间角落的墙壁相交。由这两面墙形成的角就是一个二面角。如果它们之间的角度很尖锐且小于90度，我们就将其归类为锐二面角。这个概念不仅仅是理论上的；它在设计和施工中具有实际意义。例如，建筑师在设计屋顶或角度结构时，常常利用锐二面角来确保它们既美观又结构稳固。此外，锐二面角也可以在各种自然形成中观察到。例如，某些晶体结构的面之间存在锐二面角，这影响了光与它们的相互作用，并创造出美丽的视觉效果。在这种情况下，角度的锐利性质会显著影响晶体的物理特性，包括其解理和折射。锐二面角的重要性超越了几何学，延伸到物理学和计算机图形学等领域。在物理学中，理解平面之间的角度可以帮助分析作用于物体的力。在计算机图形学中，锐二面角对于准确渲染三维模型至关重要，因为它们决定了光线和阴影如何投射到表面上。此外，在数学中，锐二面角的研究引出了更高级的概念，如多面体及其属性。多面体是具有平面多边形面的三维形状，这些面的角度就是二面角。当这些角度是锐角时，会影响多面体的整体形状和对称性，这对于数学家来说是一个迷人的探索领域。总之，锐二面角是几何学中的一个基本概念，它在多个学科中具有深远的影响。无论是在建筑、自然科学还是数学中，理解这个角度都增强了我们对周围世界的理解。通过认识到锐二面角的重要性，我们能够欣赏形状之间的复杂关系以及支配它们相互作用的原则。随着我们继续探索几何学，对像锐二面角这样的角度的知识无疑将始终是我们理解空间关系和设计原则的重要组成部分。