plane cross section
简明释义
水平断面
英英释义
A plane cross section is a two-dimensional shape that is obtained by cutting through a three-dimensional object with a flat plane. | 平面横截面是通过用一个平面切割三维物体而获得的二维形状。 |
例句
1.The architect presented a detailed drawing of the building's plane cross section to illustrate the internal layout.
建筑师展示了一幅详细的建筑物的平面横截面图,以说明内部布局。
2.In geology class, we studied the plane cross section of rock layers to understand the earth's structure.
在地质课上,我们研究了岩层的平面横截面以了解地球的结构。
3.The engineer used a plane cross section to analyze the stress distribution in the beam.
工程师使用平面横截面分析梁中的应力分布。
4.To create a prototype, the designer first drew a plane cross section of the product.
为了创建原型,设计师首先绘制了产品的平面横截面。
5.The plane cross section of the tree trunk revealed its age and growth patterns.
树干的平面横截面揭示了它的年龄和生长模式。
作文
In the study of geometry and engineering, understanding the concept of a plane cross section is essential. A plane cross section refers to the intersection of a three-dimensional object with a two-dimensional plane. This concept is vital in various fields such as architecture, manufacturing, and even biology, as it allows professionals to visualize and analyze the internal structure of complex shapes. For instance, when designing a building, architects often create plane cross sections of their designs to illustrate how different floors will interact with one another and to ensure that the structural integrity is maintained.In practical applications, a plane cross section can be seen in the way we slice a loaf of bread or cut through a fruit like an apple. Each slice reveals a plane cross section of the object, providing insights into its composition and structure. In engineering, when creating a new product, engineers use plane cross sections to assess how different components fit together. By analyzing these sections, they can identify potential weaknesses or areas for improvement.Moreover, in the field of medicine, plane cross sections are used extensively in imaging techniques such as MRI and CT scans. These medical imaging technologies provide doctors with detailed plane cross sections of the human body, allowing them to diagnose conditions with greater accuracy. For example, a CT scan of the abdomen produces numerous plane cross sections that help physicians identify tumors, organ abnormalities, or other health issues.The mathematical representation of a plane cross section involves understanding coordinate systems and geometric principles. When a plane intersects a solid object, the shape of the plane cross section can vary depending on the angle and position of the plane. For example, slicing through a cylinder at different angles will yield circular, elliptical, or rectangular plane cross sections. This variability is crucial for mathematicians and scientists who need to model real-world scenarios accurately.In conclusion, the concept of a plane cross section serves as a fundamental tool in various disciplines. Whether in architecture, engineering, medicine, or mathematics, the ability to visualize and interpret plane cross sections enhances our understanding of complex structures and systems. As we continue to innovate and explore new fields, the importance of mastering this concept will undoubtedly grow, making it a key element in the education and training of future professionals. The versatility and applicability of plane cross sections highlight their significance in both theoretical and practical contexts, ensuring that they remain a topic of interest across multiple domains.
在几何和工程学的研究中,理解“平面横截面”的概念至关重要。“平面横截面”是指三维物体与二维平面的交集。这个概念在建筑、制造甚至生物学等多个领域都是非常重要的,因为它使专业人士能够可视化和分析复杂形状的内部结构。例如,在设计建筑时,建筑师通常会创建他们设计的“平面横截面”来说明不同楼层之间如何相互作用,并确保结构的完整性得以保持。在实际应用中,“平面横截面”可以在我们切面包或切水果(如苹果)时看到。每一片切下来的部分都揭示了物体的“平面横截面”,提供了对其组成和结构的洞察。在工程领域,工程师在创建新产品时会使用“平面横截面”来评估不同组件的适配程度。通过分析这些截面,他们可以识别潜在的弱点或改进的地方。此外,在医学领域,“平面横截面”被广泛应用于成像技术,如MRI和CT扫描。这些医学成像技术为医生提供了详细的人体“平面横截面”,使他们能够更准确地诊断疾病。例如,腹部的CT扫描产生了许多“平面横截面”,帮助医生识别肿瘤、器官异常或其他健康问题。“平面横截面”的数学表示涉及理解坐标系统和几何原理。当一个平面与固体物体相交时,“平面横截面”的形状会根据平面的角度和位置而变化。例如,在不同角度切割圆柱体将产生圆形、椭圆形或矩形的“平面横截面”。这种变异性对于需要准确建模现实场景的数学家和科学家来说至关重要。总之,“平面横截面”的概念作为各个学科中的一种基本工具。无论是在建筑、工程、医学还是数学领域,能够可视化和解释“平面横截面”增强了我们对复杂结构和系统的理解。随着我们不断创新和探索新领域,掌握这一概念的重要性无疑会增加,使其成为未来专业人士教育和培训的关键元素。“平面横截面”的多样性和适用性突显了其在理论和实践背景中的重要性,确保它们在多个领域仍然是一个值得关注的话题。
相关单词