adjacent side

简明释义

邻边;

英英释义

例句

1.In geometry, the properties of a polygon often depend on the lengths of its adjacent sides (邻边).

在几何学中，多边形的性质往往取决于其邻边的长度。

2.In a right triangle, the length of the adjacent side (邻边) is crucial for calculating the cosine of an angle.

在直角三角形中，邻边的长度对于计算一个角的余弦值至关重要。

3.To find the hypotenuse, you can use the lengths of the adjacent side (邻边) and the opposite side.

要找到斜边，可以使用邻边和对边的长度。

4.In trigonometry, the adjacent side (邻边) is the side next to the angle you are examining.

在三角学中，邻边是你正在研究的角旁边的边。

5.When measuring the area of a rectangle, you multiply the lengths of the adjacent sides (邻边).

在测量矩形的面积时，你需要乘以邻边的长度。

作文

In the study of geometry, understanding the relationships between different shapes is crucial. One important concept is that of the adjacent side, which refers to the side of a polygon or triangle that is next to another side. For instance, in a right triangle, the two sides that form the right angle are considered to be adjacent sides. This concept is not only fundamental in geometry but also plays a significant role in various real-world applications, such as architecture and engineering.When we look at a right triangle, we can identify the hypotenuse, which is the longest side opposite the right angle. The other two sides are the adjacent sides to the right angle. This relationship helps us understand the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Thus, knowing which sides are adjacent allows us to apply this theorem effectively.Moreover, the concept of adjacent sides extends beyond triangles. In polygons, such as quadrilaterals, adjacent sides are those that share a common vertex. For example, in a rectangle, each pair of sides that meet at a corner are adjacent sides. Understanding these relationships is essential when calculating the perimeter or area of different shapes. For instance, the area of a rectangle can be calculated by multiplying the lengths of its adjacent sides.In practical scenarios, architects often need to consider adjacent sides when designing buildings. The structural integrity of a building can depend on how well the adjacent sides support each other. For example, in a triangular truss used in roofing, the adjacent sides must be carefully calculated to ensure that they can bear the weight of the roof above them.Furthermore, in computer graphics, the concept of adjacent sides is utilized in rendering shapes and models. When creating a 3D model, understanding which edges are adjacent helps in defining the surface normals and shading the object correctly. This knowledge is particularly important in video game design and animation, where realistic rendering of shapes is crucial for visual appeal.In conclusion, the term adjacent side is a vital component in the study of geometry and has extensive applications in various fields. Whether it is in theoretical mathematics, practical architecture, or advanced computer graphics, recognizing and understanding the significance of adjacent sides helps us navigate through complex problems. By mastering this concept, students can enhance their mathematical skills and apply them effectively in real-world situations. As we continue to explore geometry, let us remember the importance of adjacent sides and how they connect different shapes and ideas together.

在几何学的研究中，理解不同形状之间的关系至关重要。一个重要的概念是邻边，指的是多边形或三角形中与另一边相邻的边。例如，在直角三角形中，形成直角的两条边被认为是邻边。这个概念不仅在几何学中是基础，而且在建筑和工程等各种实际应用中也发挥着重要作用。当我们观察一个直角三角形时，可以识别出斜边，它是最长的边，对应于直角的对面。其他两条边是直角的邻边。这种关系帮助我们理解毕达哥拉斯定理，该定理指出斜边的长度平方等于其他两条边长度平方的和。因此，知道哪些边是邻边使我们能够有效地应用这一定理。此外，邻边的概念超越了三角形。在多边形中，例如四边形，邻边是那些共享一个公共顶点的边。例如，在矩形中，每对在角落相遇的边都是邻边。理解这些关系在计算不同形状的周长或面积时至关重要。例如，矩形的面积可以通过乘以其邻边的长度来计算。在实际场景中，建筑师在设计建筑时常常需要考虑邻边。建筑物的结构完整性可能取决于邻边之间的支撑程度。例如，在用于屋顶的三角桁架中，邻边必须经过仔细计算，以确保它们能够承受上方屋顶的重量。此外，在计算机图形学中，邻边的概念被用于渲染形状和模型。在创建3D模型时，了解哪些边是邻边有助于定义表面法线并正确阴影处理对象。这一知识在视频游戏设计和动画中尤为重要，因为真实的形状渲染对于视觉吸引力至关重要。总之，术语邻边是几何学研究中的一个重要组成部分，并在各个领域有广泛应用。无论是在理论数学、实际建筑还是高级计算机图形学中，识别和理解邻边的重要性帮助我们解决复杂的问题。通过掌握这一概念，学生可以增强他们的数学技能，并在现实世界中有效应用这些技能。当我们继续探索几何学时，让我们记住邻边的重要性，以及它们如何将不同的形状和思想联系在一起。