plane surface

简明释义

平表面

英英释义

例句

1.The artist carefully painted on the plane surface of the canvas.

艺术家小心翼翼地在画布的平面表面上作画。

2.The engineer designed the machine to operate best on a plane surface.

工程师设计了这台机器，使其在平面表面上运行效果最佳。

3.For accurate measurements, ensure that the object is placed on a plane surface.

为了确保准确测量，请确保物体放置在平面表面上。

4.The table provides a plane surface for writing and studying.

这张桌子提供了一个用于写作和学习的平面表面。

5.A plane surface is essential for building a stable foundation.

平面表面 对于建立稳定的基础至关重要。

作文

In the realm of geometry, understanding the concept of a plane surface is fundamental. A plane surface refers to a flat, two-dimensional surface that extends infinitely in all directions. This concept is not just theoretical; it has practical applications in various fields such as engineering, architecture, and physics. For instance, when designing a building, architects must consider how the plane surface of the roof will interact with environmental factors like wind and rain. One of the simplest examples of a plane surface can be seen in everyday objects. Take a piece of paper, for example. When you look at it from a distance, it appears flat and smooth. This quality of being flat is what defines it as a plane surface. However, if you were to zoom in closely, you might notice that the surface is not perfectly even due to microscopic imperfections. Nevertheless, in the world of geometry, we often treat these surfaces as ideal plane surfaces for simplicity. Moreover, the importance of plane surfaces extends beyond simple shapes. In calculus, for instance, we often analyze functions by examining their graphs on plane surfaces. The x-y coordinate system is a classic representation of a plane surface, where each point on the graph corresponds to a specific value of the function. Understanding how these points relate to one another on a plane surface allows mathematicians to derive important properties of functions, such as continuity and limits. In physics, the concept of a plane surface is crucial when discussing forces and motion. For instance, when an object moves along a plane surface, we can analyze its motion using Newton's laws. If you slide a book across a table, the interaction between the book and the plane surface of the table involves friction, which can be quantified and analyzed. This relationship is vital for engineers who need to design systems that minimize energy loss due to friction. Furthermore, in the realm of computer graphics, plane surfaces play a significant role in rendering images. When creating 3D models, artists often start with basic plane surfaces before adding complexity. These surfaces serve as a foundation upon which more intricate designs are built. By manipulating the vertices of a plane surface, designers can create realistic representations of objects, landscapes, and characters. This interplay between mathematics and art highlights the versatility of plane surfaces in modern technology. In conclusion, the concept of a plane surface is integral to many disciplines, from mathematics to engineering and art. Its definition as a flat, two-dimensional surface provides a foundation for understanding more complex ideas. Whether we are analyzing the motion of an object, designing a building, or creating digital art, the principles associated with plane surfaces remain relevant and essential. As we continue to explore the world around us, recognizing the significance of plane surfaces can enhance our comprehension and appreciation of both the physical and abstract realms.

在几何学领域，理解“平面”的概念是基础。“平面”指的是一个平坦的二维表面，它在所有方向上无限延伸。这个概念不仅仅是理论上的；它在工程、建筑和物理等多个领域都有实际应用。例如，在设计建筑时，建筑师必须考虑屋顶的“平面”如何与风和雨等环境因素相互作用。一个最简单的“平面”例子可以在日常物体中看到。以一张纸为例。当你从远处看它时，它似乎是平坦而光滑的。这种平坦的特性定义了它作为一个“平面”。然而，如果你仔细观察，可能会发现由于微观的不完美，这个表面并不完全均匀。然而，在几何学的世界中，我们通常将这些表面视为理想的“平面”，以简化问题。此外，“平面”的重要性不仅限于简单的形状。在微积分中，我们经常通过分析函数在“平面”上的图形来理解它们。x-y坐标系统是“平面”的经典表示，其中图表上的每个点对应于函数的特定值。理解这些点在“平面”上的相互关系使数学家能够推导出函数的重要属性，如连续性和极限。在物理学中，当讨论力和运动时，“平面”的概念至关重要。例如，当一个物体沿着“平面”移动时，我们可以使用牛顿定律分析它的运动。如果你把一本书滑过桌子，书与桌子的“平面”之间的相互作用涉及摩擦，这可以被量化和分析。这种关系对于需要设计系统以最小化因摩擦造成的能量损失的工程师来说至关重要。此外，在计算机图形学领域，“平面”在渲染图像中也发挥着重要作用。在创建3D模型时，艺术家通常从基本的“平面”开始，然后再添加复杂性。这些表面作为构建更复杂设计的基础。通过操纵“平面”的顶点，设计师可以创建对象、风景和角色的逼真表现。这种数学与艺术之间的互动突显了“平面”在现代技术中的多样性。总之，“平面”的概念对许多学科至关重要，从数学到工程和艺术。它作为一个平坦的二维表面的定义为理解更复杂的思想提供了基础。无论我们是在分析物体的运动、设计建筑，还是创建数字艺术，与“平面”相关的原则始终保持相关和必要。随着我们继续探索周围的世界，认识到“平面”的重要性可以增强我们对物理和抽象领域的理解和欣赏。