area of section

简明释义

横断面积

英英释义

例句

1.The engineer provided a detailed report on the area of section (截面面积) for each component of the bridge.

工程师提供了关于桥梁每个组件的area of section (截面面积) 的详细报告。

2.To calculate the total volume of the cylinder, we need to find the area of section (截面面积) at its base.

要计算圆柱的总体积，我们需要找到其底部的area of section (截面面积)。

3.The area of section (截面面积) can be calculated by using the formula for the area of a circle when dealing with round pipes.

在处理圆形管道时，area of section (截面面积) 可以通过使用圆的面积公式来计算。

4.During the experiment, we measured the area of section (截面面积) of the material to assess its properties.

在实验过程中，我们测量了材料的area of section (截面面积) 以评估其特性。

5.In structural engineering, the area of section (截面面积) plays a crucial role in determining the strength of beams.

在结构工程中，area of section (截面面积) 在确定梁的强度方面起着至关重要的作用。

作文

Understanding the concept of the area of section is crucial in various fields, particularly in mathematics and engineering. The area of section refers to the measure of the surface that is exposed when a three-dimensional object is cut through a specific plane. This concept can be applied to different shapes, such as cylinders, spheres, and prisms, and is essential for calculating volumes, designing structures, and even in real-world applications like manufacturing and architecture.To illustrate this, let’s consider a simple example: a cylinder. When we slice a cylinder horizontally, the area of section created by this cut is a circle. The formula for the area of a circle is A = πr², where r is the radius of the circular base. Thus, understanding how to calculate the area of section allows engineers to determine the load-bearing capacity of cylindrical columns or pipes in construction projects.In addition to practical applications, the area of section plays a significant role in theoretical mathematics. For instance, when studying calculus, students often encounter problems that involve finding the area of section of various curves. This involves integrating functions over specified intervals, which leads to a deeper understanding of how areas relate to the functions that describe them. It also connects to the concept of limits and continuity, which are foundational in advanced mathematics.Moreover, in physics, the area of section is vital when analyzing forces acting on an object. For example, when considering fluid dynamics, the area of section through which a fluid flows affects the velocity and pressure of that fluid according to Bernoulli's principle. Engineers must account for the area of section when designing pipelines or channels to ensure efficient flow and minimize energy loss.The importance of the area of section extends beyond academic disciplines; it is also relevant in everyday life. For instance, when determining how much paint is needed to cover a wall, one must calculate the area of section of the wall's surface. Similarly, when planning a garden, one might need to calculate the area of section of different flower beds to ensure that each plant receives adequate space for growth.In conclusion, the area of section is a fundamental concept that bridges various disciplines, including mathematics, engineering, and physics. Its applications are both theoretical and practical, making it essential for students and professionals alike. By mastering the calculation and implications of the area of section, individuals can enhance their problem-solving skills and apply these principles to real-world situations effectively. Whether in academia or daily tasks, understanding the area of section enriches our comprehension of the world around us and empowers us to make informed decisions based on mathematical reasoning.

理解“area of section”这一概念在多个领域中至关重要，特别是在数学和工程学中。“area of section”指的是当一个三维物体通过特定平面切割时所暴露出的表面的测量。这个概念可以应用于不同的形状，例如圆柱体、球体和棱柱体，对于计算体积、设计结构以及在制造和建筑等现实应用中都是必不可少的。为了说明这一点，让我们考虑一个简单的例子：圆柱体。当我们水平切割一个圆柱体时，这个切割产生的area of section是一个圆。圆的面积公式为A = πr²，其中r是圆形底面的半径。因此，理解如何计算area of section使得工程师能够确定建筑项目中圆柱形柱子或管道的承载能力。除了实际应用外，area of section在理论数学中也起着重要作用。例如，在学习微积分时，学生们常常会遇到涉及求解各种曲线的area of section的问题。这涉及到在指定区间内对函数进行积分，这有助于更深入地理解面积与描述它们的函数之间的关系。它还与极限和连续性概念相连接，这些都是高级数学的基础。此外，在物理学中，area of section在分析作用于物体的力时至关重要。例如，在考虑流体动力学时，流体流动的area of section会根据伯努利原理影响该流体的速度和压力。工程师在设计管道或渠道时必须考虑area of section，以确保流动高效并最小化能量损失。area of section的重要性不仅限于学术领域；它在日常生活中也同样相关。例如，当确定涂料覆盖墙壁所需的量时，必须计算墙面表面的area of section。同样，在规划花园时，可能需要计算不同花坛的area of section，以确保每种植物都有足够的生长空间。总之，area of section是一个基本概念，连接了数学、工程和物理等多个学科。它的应用既有理论性又有实用性，使其对学生和专业人士都至关重要。通过掌握area of section的计算及其含义，个人可以增强解决问题的能力，并有效地将这些原则应用于现实情况。无论是在学术界还是日常任务中，理解area of section丰富了我们对周围世界的理解，并使我们能够基于数学推理做出明智的决策。