section of maximum area

简明释义

最大面积剖面

英英释义

例句

1.When designing the bridge, the team focused on creating a section of maximum area for safety reasons.

在设计桥梁时，团队专注于创建一个出于安全考虑的最大面积截面。

2.In structural analysis, finding the section of maximum area is crucial for optimizing material usage.

在结构分析中，寻找最大面积截面对于优化材料使用至关重要。

3.The engineer designed a beam with a section of maximum area to ensure it could support heavy loads.

工程师设计了一根具有最大面积截面的梁，以确保它能够承受重负荷。

4.The architect specified a column with a section of maximum area to enhance stability.

建筑师指定了一根具有最大面积截面的柱子，以增强稳定性。

5.The cross-section of the pipe was altered to achieve a section of maximum area for better flow.

管道的横截面被修改，以达到更好的流动效果的最大面积截面。

作文

The concept of a section of maximum area is a fascinating topic that finds applications in various fields, including engineering, architecture, and even biology. Understanding this concept requires a grasp of geometry and optimization principles. In essence, a section of maximum area refers to a specific shape or configuration that maximizes the area within certain constraints. This idea is not only theoretical but has practical implications in our daily lives. For instance, consider the design of a bridge. Engineers often need to create supports that can bear heavy loads while using the least amount of material possible. By calculating the section of maximum area, they can determine the optimal shape for the bridge's cross-section that will provide strength and stability without unnecessary weight. Common shapes like circles, rectangles, and triangles are evaluated to find which configuration yields the largest area for a given perimeter. In architecture, the section of maximum area can play a crucial role in maximizing usable space within a building. Architects strive to design rooms and structures that utilize space efficiently. For example, when designing a cylindrical water tank, an architect would consider the section of maximum area to ensure that the tank holds the maximum volume of water while minimizing the material used. This principle helps in creating sustainable designs that are both functional and environmentally friendly.Moreover, the concept extends into nature as well. Biologists observe how certain organisms develop structures that maximize their surface area for optimal function. For example, the leaves of plants often take on shapes that allow them to capture the most sunlight while minimizing water loss. This natural adaptation can be seen as a biological application of the section of maximum area, where evolution has favored shapes that enhance survival chances. Mathematically, determining the section of maximum area involves calculus and optimization techniques. For instance, if one were to analyze a fixed length of fencing to create a pen, the goal would be to find the dimensions that give the largest enclosed area. Through the use of derivatives, one can find the critical points that yield the maximum area, demonstrating the practical utility of mathematics in real-world situations. In conclusion, the idea of a section of maximum area is not confined to theoretical mathematics; it has far-reaching implications across various domains. From engineering marvels to architectural wonders and even biological adaptations, this concept illustrates the interplay between form and function. Understanding how to achieve a section of maximum area enables us to optimize resources, enhance efficiency, and create solutions that are both innovative and sustainable. As we continue to explore this concept, it will undoubtedly lead to new discoveries and advancements in multiple fields, highlighting the importance of geometry and optimization in our world.

“最大面积截面”这一概念是一个引人入胜的话题，在工程、建筑甚至生物学等多个领域都有应用。理解这个概念需要掌握几何和优化原理。基本上，“最大面积截面”指的是在某些约束下，能够最大化面积的特定形状或配置。这个思想不仅是理论上的，而且在我们的日常生活中具有实际意义。例如，考虑桥梁的设计。工程师们常常需要创建能够承受重载的支撑，同时尽可能少地使用材料。通过计算“最大面积截面”，他们可以确定桥梁横截面的最佳形状，从而在不增加不必要重量的情况下提供强度和稳定性。常见的形状如圆形、矩形和三角形被评估，以找出哪种配置在给定周长下产生最大的面积。在建筑设计中，“最大面积截面”可以在最大化建筑可用空间方面发挥关键作用。建筑师努力设计高效利用空间的房间和结构。例如，在设计一个圆柱形水箱时，建筑师会考虑“最大面积截面”，以确保水箱在最小化材料使用的同时能容纳最大体积的水。这个原则有助于创造既功能性又环保的可持续设计。此外，这一概念也延伸到了自然界。生物学家观察到某些生物如何发展出最大化其表面积以实现最佳功能的结构。例如，植物的叶子通常呈现出能够捕捉最多阳光的形状，同时最小化水分损失。这种自然适应可以看作是生物学上“最大面积截面”的应用，进化选择了增强生存机会的形状。在数学上，确定“最大面积截面”涉及微积分和优化技术。例如，如果有人要分析固定长度的围栏来创建一个圈，目标将是找到能够封闭最大面积的尺寸。通过使用导数，可以找到导致最大面积的临界点，展示了数学在现实世界中的实用性。总之，“最大面积截面”的理念并不仅限于理论数学；它在多个领域具有深远的影响。从工程奇迹到建筑奇观，甚至生物适应，这一概念展示了形式与功能之间的相互作用。理解如何实现“最大面积截面”使我们能够优化资源，提高效率，创造出既创新又可持续的解决方案。随着我们继续探索这一概念，它无疑会在多个领域带来新的发现和进步，突显出几何和优化在我们世界中的重要性。