trapezoid cross section

简明释义

梯形截面

英英释义

例句

1.The engineer designed a beam with a trapezoid cross section to improve its load-bearing capacity.

工程师设计了一根具有梯形截面的梁，以提高其承载能力。

2.In architecture, a trapezoid cross section can create visually appealing structures.

在建筑学中，梯形截面可以创造出视觉上吸引人的结构。

3.The artist used a trapezoid cross section in her sculpture to create dynamic lines.

艺术家在她的雕塑中使用了梯形截面来创造动态线条。

4.When calculating the area, remember to account for the trapezoid cross section of the object.

在计算面积时，请记得考虑物体的梯形截面。

5.The analysis of the fluid flow revealed that the pipe had a trapezoid cross section which affected the velocity profile.

流体流动的分析显示，管道具有梯形截面，这影响了速度分布。

作文

In the field of geometry, understanding various shapes and their properties is crucial for solving problems related to space and form. One interesting shape that often comes up in both theoretical and practical applications is the trapezoid. A trapezoid is defined as a four-sided figure (quadrilateral) with at least one pair of parallel sides. When we discuss the trapezoid cross section (梯形截面), we are referring to the shape that is formed when a three-dimensional object is sliced through by a plane, resulting in a two-dimensional trapezoid. This concept is not only essential in mathematics but also plays a significant role in engineering, architecture, and various scientific fields.To gain a better understanding of the trapezoid cross section (梯形截面), let’s explore its characteristics. The most distinctive feature of this shape is its two parallel sides, known as the bases, and the other two sides, which are called the legs. The lengths of these sides can vary, leading to different types of trapezoids, such as isosceles trapezoids, where the legs are of equal length, and right trapezoids, which have one right angle. The area of a trapezoid can be calculated using the formula: Area = (base1 + base2) / 2 * height, where the height is the perpendicular distance between the two bases.In practical applications, the concept of trapezoid cross section (梯形截面) is particularly important in fields like civil engineering. For instance, when designing bridges or overpasses, engineers often use materials that have a trapezoidal shape in cross-section to ensure stability and strength. The trapezoidal shape allows for efficient distribution of weight and can withstand various forces acting upon it. Moreover, the design can help minimize material usage while maximizing structural integrity, making it an economical choice for construction projects.Another example can be found in the study of fluid dynamics. When analyzing the flow of liquids in channels, the cross-sectional shape of the channel significantly affects the flow rate and pressure. Channels with a trapezoid cross section (梯形截面) can provide advantages in terms of flow efficiency compared to other shapes. Engineers and scientists must carefully consider these shapes when designing irrigation systems, drainage ditches, and waterways to optimize performance.Additionally, the trapezoid cross section (梯形截面) appears in various natural formations, such as riverbanks and cliffs. Erosion and sediment deposition can create trapezoidal shapes in landscapes, which can be studied to understand geological processes and the history of an area. By examining these natural trapezoids, researchers can gain insights into environmental changes and the impact of human activities on landforms.In conclusion, the trapezoid cross section (梯形截面) is a fundamental concept that spans multiple disciplines, including mathematics, engineering, and geology. Its unique properties and applications make it a vital shape to understand for anyone involved in these fields. Whether it’s for calculating areas, designing stable structures, or analyzing natural landscapes, the trapezoid and its cross-sections offer a wealth of information and utility. Embracing the knowledge of shapes like the trapezoid enhances our ability to navigate the complexities of the physical world, allowing us to innovate and solve problems effectively.

在几何学领域，理解各种形状及其特性对于解决与空间和形式相关的问题至关重要。一个有趣的形状是梯形。梯形被定义为一种四边形（四边形），至少有一对平行边。当我们讨论trapezoid cross section（梯形截面）时，我们指的是当一个三维物体被一个平面切割时形成的形状，结果是一个二维梯形。这个概念不仅在数学中是必不可少的，而且在工程、建筑和各种科学领域中也发挥着重要作用。为了更好地理解trapezoid cross section（梯形截面），让我们探索它的特征。这个形状最显著的特征是它的两条平行边，称为底边，另外两条边称为腿。这些边的长度可以变化，导致不同类型的梯形，例如等腰梯形，其腿的长度相等，以及直角梯形，具有一个直角。梯形的面积可以使用公式计算：面积 = (底边1 + 底边2) / 2 * 高度，其中高度是两条底边之间的垂直距离。在实际应用中，trapezoid cross section（梯形截面）的概念在土木工程等领域尤为重要。例如，在设计桥梁或高架道路时，工程师通常使用横截面为梯形的材料，以确保稳定性和强度。梯形的形状可以有效分配重量，并能够承受施加在其上的各种力量。此外，这种设计可以帮助最小化材料使用，同时最大化结构完整性，使其成为建筑项目的经济选择。另一个例子可以在流体动力学研究中找到。当分析液体在通道中的流动时，通道的横截面形状显著影响流量和压力。具有trapezoid cross section（梯形截面）的通道相比其他形状可以提供流动效率方面的优势。工程师和科学家在设计灌溉系统、排水沟和水道时必须仔细考虑这些形状，以优化性能。此外，trapezoid cross section（梯形截面）出现在各种自然形成中，例如河岸和悬崖。侵蚀和沉积可以在景观中形成梯形形状，可以研究这些形状以了解地质过程和一个地区的历史。通过研究这些自然梯形，研究人员可以深入了解环境变化和人类活动对地貌的影响。总之，trapezoid cross section（梯形截面）是一个基本概念，跨越多个学科，包括数学、工程和地质学。它独特的属性和应用使其成为了解这些领域的关键形状。无论是计算面积、设计稳定结构还是分析自然景观，梯形及其截面都提供了丰富的信息和实用性。掌握像梯形这样的形状知识增强了我们应对物理世界复杂性的能力，使我们能够有效创新和解决问题。