contained angle

简明释义

转角

英英释义

例句

1.In geometry, a triangle has three sides and three contained angles 包含角 that sum up to 180 degrees.

在几何学中，一个三角形有三条边和三个包含角 contained angles，它们的和为180度。

2.The contained angles 包含角 of a rectangle are all right angles, measuring 90 degrees each.

矩形的包含角 contained angles都是直角，每个角都为90度。

3.In a circle, the contained angle 包含角 at the center is twice the angle at the circumference.

在圆中，中心的包含角 contained angle是圆周上角度的两倍。

4.When constructing a building, architects must consider the contained angles 包含角 in their designs for stability.

在建造建筑时，建筑师必须考虑设计中的包含角 contained angles以确保稳定性。

5.To find the area of a sector, you need to know the contained angle 包含角 in radians.

要计算扇形的面积，你需要知道以弧度表示的包含角 contained angle。

作文

In geometry, angles play a significant role in understanding the relationships between different figures. One of the fundamental concepts is the contained angle, which refers to the angle formed between two intersecting lines or rays that share a common endpoint. This concept is crucial not only in theoretical mathematics but also in practical applications such as architecture, engineering, and various fields of science. Understanding the contained angle is essential for anyone who wishes to delve deeper into the world of geometry.To illustrate the significance of the contained angle, let’s consider a simple scenario involving a triangle. A triangle consists of three sides and three angles, and the sum of the internal angles always equals 180 degrees. When we focus on one vertex of the triangle, the angle formed by the two sides meeting at that vertex is known as a contained angle. For instance, in a triangle ABC, if we look at vertex A, the angle ∠BAC is a contained angle.The concept of the contained angle extends beyond triangles. In polygons, each vertex contributes a contained angle that helps define the shape of the figure. For example, in a rectangle, each corner or vertex creates a right contained angle of 90 degrees. Understanding these angles is vital for calculating properties such as area and perimeter, which are foundational in both academic settings and real-world applications.Moreover, the contained angle is not just limited to two-dimensional shapes. In three-dimensional geometry, the idea of angles becomes even more complex. For instance, when dealing with polyhedra, the angles formed at the edges can be considered contained angles as well. The study of these angles is crucial for fields such as computer graphics, where understanding the relationships between different planes and surfaces is necessary to create realistic images.In practical terms, knowing how to measure and calculate contained angles can be incredibly useful. For architects, understanding the contained angle allows them to design buildings that are not only aesthetically pleasing but also structurally sound. Similarly, engineers must account for contained angles when designing machinery or infrastructure to ensure that everything fits together correctly.In conclusion, the contained angle is a fundamental concept in geometry that has far-reaching implications in various fields. Whether you are studying basic shapes in school or applying these principles in a professional setting, a solid understanding of the contained angle is essential. It serves as a building block for more advanced geometric concepts and is critical for practical applications in everyday life. By mastering this concept, individuals can enhance their problem-solving skills and apply their knowledge effectively in real-world situations.

在几何学中，角度在理解不同图形之间的关系中起着重要作用。一个基本概念是包含角，它指的是两个相交的线或射线在共享一个公共端点时形成的角。这一概念不仅在理论数学中至关重要，而且在建筑、工程和各种科学领域的实际应用中也同样重要。理解包含角对任何希望深入几何世界的人来说都是必不可少的。为了说明包含角的重要性，让我们考虑一个简单的三角形场景。三角形由三条边和三个角组成，内部角的总和始终等于180度。当我们关注三角形的一个顶点时，位于该顶点的两条边相交所形成的角被称为包含角。例如，在三角形ABC中，如果我们查看顶点A，角∠BAC就是一个包含角。包含角的概念不仅限于三角形。在多边形中，每个顶点都贡献一个包含角，帮助定义图形的形状。例如，在矩形中，每个角落或顶点形成一个90度的直包含角。理解这些角度对于计算面积和周长等属性至关重要，这些属性在学术环境和现实应用中都是基础。此外，包含角不仅限于二维形状。在三维几何中，角度的概念变得更加复杂。例如，在处理多面体时，边缘处形成的角也可以视为包含角。对这些角度的研究对于计算机图形学等领域至关重要，因为理解不同平面和表面之间的关系是创建逼真图像所必需的。在实际应用中，知道如何测量和计算包含角是非常有用的。对于建筑师来说，理解包含角使他们能够设计出既美观又结构合理的建筑。同样，工程师在设计机械或基础设施时必须考虑包含角，以确保所有部件都能正确结合。总之，包含角是几何学中的一个基本概念，在各个领域都有深远的影响。无论你是在学校学习基本形状，还是在专业环境中应用这些原则，扎实理解包含角都是必不可少的。它作为更高级几何概念的基础，对于日常生活中的实际应用至关重要。通过掌握这一概念，个人可以增强解决问题的能力，并有效地将知识应用于现实世界的情境中。