included angle

简明释义

夹角

英英释义

例句

1.The pilot needed to know the included angle 夹角 of the flight path for navigation.

飞行员需要了解航线的夹角以进行导航。

2.The engineer measured the included angle 夹角 during the construction process to ensure accuracy.

工程师在施工过程中测量了夹角以确保准确性。

3.To find the area of the triangle, we need the length of the sides and the included angle 夹角 between them.

要找出三角形的面积，我们需要边的长度和它们之间的夹角。

4.The architect calculated the included angle 夹角 between the two walls to ensure proper alignment.

建筑师计算了两面墙之间的夹角以确保正确对齐。

5.In geometry, the included angle 夹角 is formed by two sides of a triangle.

在几何学中，夹角是由三角形的两条边形成的。

作文

The concept of geometry is fundamental in mathematics, and one of the key elements within this field is the understanding of angles. Among various types of angles, the term included angle refers to the angle formed between two intersecting lines or segments that share a common endpoint. This common endpoint is known as the vertex of the angle. Understanding the included angle is crucial in many areas of study, including architecture, engineering, and even art. When we think about the included angle, it is important to visualize how it functions in geometric shapes. For instance, in a triangle, the included angle is formed by two sides of the triangle. The properties of triangles, such as the sum of internal angles equaling 180 degrees, heavily rely on the concept of the included angle. This principle not only helps in calculating unknown angles but also assists in determining the area of the triangle using various formulas.In practical applications, the included angle is used in navigation and construction. For example, when surveying land, surveyors must calculate the included angle between different points to ensure accurate measurements. Similarly, in construction, understanding the included angle between beams can affect the structural integrity of a building. If the angles are not measured properly, it could lead to serious safety issues.Moreover, the included angle plays a significant role in trigonometry, where it is used to derive various functions such as sine, cosine, and tangent. These functions are essential for solving problems related to right triangles, which often involve included angles. By applying these functions, we can find distances and heights that may not be directly measurable.In the realm of art, the included angle can influence the aesthetics of a piece. Artists often use perspective to create depth in their work, and understanding how included angles interact with one another can enhance the visual appeal of a painting or sculpture. The way light interacts with angles can also create shadows and highlights, further emphasizing the importance of the included angle in artistic endeavors.In conclusion, the included angle is a vital concept that permeates various disciplines. Its applications in geometry, construction, navigation, trigonometry, and art highlight its versatility and importance. Mastering the understanding of the included angle not only enhances one’s mathematical skills but also enriches one’s ability to engage with the world around them. As we continue to explore the intricacies of angles and their relationships, we can appreciate the profound impact that the included angle has on both theoretical and practical aspects of life.

几何概念在数学中是基础，而这个领域中的一个关键元素是对角度的理解。在各种类型的角度中，术语included angle指的是由两条相交的线或线段形成的角度，这两条线或线段共享一个公共的端点。这个公共端点被称为角的顶点。理解included angle在许多研究领域中至关重要，包括建筑、工程甚至艺术。当我们思考included angle时，重要的是要想象它在几何形状中的作用。例如，在三角形中，included angle是由三角形的两条边形成的。三角形的性质，例如内角之和等于180度，严重依赖于included angle的概念。这个原理不仅有助于计算未知的角度，还帮助利用各种公式确定三角形的面积。在实际应用中，included angle用于导航和建筑。例如，在测量土地时，测量师必须计算不同点之间的included angle以确保准确的测量。同样，在建筑中，理解梁之间的included angle可能会影响建筑的结构完整性。如果角度没有正确测量，可能会导致严重的安全问题。此外，included angle在三角学中扮演着重要角色，它用于推导各种函数，如正弦、余弦和正切。这些函数对于解决与直角三角形相关的问题至关重要，这些问题通常涉及included angles。通过应用这些函数，我们可以找到可能无法直接测量的距离和高度。在艺术领域，included angle可以影响作品的美感。艺术家经常使用透视法来创造作品的深度，理解included angles之间如何相互作用可以增强绘画或雕塑的视觉吸引力。光线与角度的相互作用也可以产生阴影和高光，进一步强调了included angle在艺术创作中的重要性。总之，included angle是一个重要的概念，渗透到各个学科中。它在几何、建筑、导航、三角学和艺术中的应用突显了它的多功能性和重要性。掌握included angle的理解不仅增强了一个人的数学技能，还丰富了一个人与周围世界互动的能力。当我们继续探索角度及其关系的复杂性时，我们可以欣赏到included angle对生活的理论和实践方面的深远影响。