cylndrical surface

简明释义

圆柱面

英英释义

例句

1.The engineer designed a machine that operates on a 圆柱面 to ensure smooth rotation.

工程师设计了一台在圆柱面上运作的机器，以确保平稳旋转。

2.In geometry class, we learned how to calculate the volume of a cylinder using its 圆柱面 area.

在几何课上，我们学习了如何利用其圆柱面面积计算圆柱的体积。

3.The artist created a sculpture that features a 圆柱面 to give it a modern look.

艺术家创作了一座雕塑，采用了圆柱面以赋予其现代感。

4.The pipe has a 圆柱面 that allows for efficient fluid flow.

这根管道具有圆柱面，可以实现高效的流体流动。

5.We need to wrap the fabric around the 圆柱面 to create a seamless design.

我们需要将布料缠绕在圆柱面上，以创造无缝设计。

作文

In the study of geometry, one of the fundamental shapes we encounter is the cylindrical surface (圆柱面). This shape is not only prevalent in theoretical mathematics but also has numerous applications in the real world. A cylindrical surface can be defined as the set of all points that are at a fixed distance from a given line segment, which is called the axis of the cylinder. The distance from the axis determines the radius of the cylinder, while the length of the line segment defines its height. The importance of understanding cylindrical surfaces extends beyond pure mathematics; it is crucial in various fields such as engineering, architecture, and manufacturing. For instance, when designing pipes or tubes, engineers must consider the properties of cylindrical surfaces to ensure that these structures can withstand internal pressures and external forces. The strength and stability of a pipe are directly related to its cylindrical surface geometry, which influences how the material distributes stress. Moreover, in architecture, many buildings feature cylindrical surfaces, particularly in the design of towers and silos. These structures benefit from the aesthetic appeal and the structural integrity provided by the cylindrical surface. The smooth curves of a cylinder can create visually striking designs while also ensuring that the building can efficiently handle loads and resist environmental factors like wind and earthquakes. In addition to practical applications, cylindrical surfaces also play a significant role in advanced scientific research. For example, in physics, the concept of cylindrical surfaces is used in the study of wave propagation and fluid dynamics. When analyzing how waves travel through different mediums, researchers often use cylindrical coordinates to simplify calculations. This method allows for a more straightforward approach to understanding complex systems, making the cylindrical surface an essential tool in the physicist’s toolkit. Furthermore, in computer graphics and animation, the representation of objects often involves cylindrical surfaces. Creating realistic models of objects, such as bottles or barrels, requires a thorough understanding of how to manipulate cylindrical surfaces in a digital environment. Artists and designers utilize mathematical equations that define these surfaces to render 3D objects that appear lifelike. In conclusion, the cylindrical surface (圆柱面) is a fundamental geometric shape with vast implications across multiple disciplines. Its significance is evident in engineering designs, architectural structures, scientific research, and digital modeling. By grasping the properties and applications of cylindrical surfaces, one can appreciate their role in both theoretical and practical contexts. Understanding this shape not only enriches our knowledge of geometry but also enhances our ability to innovate and solve real-world problems.

在几何学的研究中，我们遇到的基本形状之一是圆柱面（cylindrical surface）。这种形状不仅在理论数学中普遍存在，而且在现实世界中有许多应用。圆柱面可以定义为所有点的集合，这些点与给定的线段（称为圆柱的轴）保持固定距离。与轴的距离决定了圆柱的半径，而线段的长度则定义了其高度。理解圆柱面的重要性超越了纯数学；它在工程、建筑和制造等多个领域至关重要。例如，在设计管道或管子时，工程师必须考虑圆柱面的特性，以确保这些结构能够承受内部压力和外部力量。管道的强度和稳定性直接与其圆柱面几何形状相关，这影响材料如何分配应力。此外，在建筑学中，许多建筑物具有圆柱面，特别是在塔楼和筒仓的设计中。这些结构受益于圆柱面所提供的美学吸引力和结构完整性。圆柱的光滑曲线可以创造出视觉上引人注目的设计，同时确保建筑物能够高效地承受负载并抵御风和地震等环境因素。除了实际应用，圆柱面在先进的科学研究中也扮演着重要角色。例如，在物理学中，圆柱面的概念用于研究波传播和流体动力学。当分析波如何在不同介质中传播时，研究人员经常使用圆柱坐标来简化计算。这种方法使得理解复杂系统变得更加简单，使得圆柱面成为物理学家工具箱中的重要工具。此外，在计算机图形学和动画中，物体的表示通常涉及圆柱面。创建逼真的物体模型，例如瓶子或桶，需要对如何在数字环境中操纵圆柱面有透彻的理解。艺术家和设计师利用定义这些表面的数学方程来渲染看起来栩栩如生的三维物体。总之，圆柱面（cylindrical surface）是一种基础几何形状，在多个学科中具有广泛的意义。其重要性在工程设计、建筑结构、科学研究和数字建模中显而易见。通过掌握圆柱面的特性和应用，人们可以欣赏到它在理论和实践背景中的作用。理解这一形状不仅丰富了我们对几何的知识，也增强了我们创新和解决实际问题的能力。