adjacent angle

简明释义

邻角;

英英释义

例句

1.The architect used adjacent angles 邻角 to create unique designs for the building.

建筑师利用邻角为建筑创造独特的设计。

2.In the classroom, the teacher explained how to calculate the sum of adjacent angles 邻角 formed by intersecting lines.

在课堂上，老师解释了如何计算相交线形成的邻角的和。

3.The two adjacent angles 邻角 formed by the crossing streets made it easier to navigate.

交叉街道形成的两个邻角使得导航变得更加简单。

4.During the geometry lesson, we learned that adjacent angles 邻角 are always supplementary if they are on a straight line.

在几何课上，我们了解到如果邻角在同一条直线上，它们总是互补的。

5.When two lines intersect, they form a pair of adjacent angles 邻角 that share a common vertex.

当两条线相交时，它们形成一对共享公共顶点的邻角。

作文

In the world of geometry, understanding the relationships between different types of angles is crucial for solving problems and proving theorems. One important concept that often comes up is the idea of adjacent angle, which refers to two angles that share a common side and a common vertex but do not overlap. This relationship is fundamental in various geometric constructions and proofs. For instance, when two lines intersect, they form two pairs of adjacent angles. This can be visualized easily: if you imagine two streets crossing each other, the angles formed at the intersection are adjacent angles because they share a vertex (the point where the streets meet) and one side (the street itself). Understanding adjacent angles is not only important in theoretical mathematics but also has practical applications in fields such as architecture, engineering, and even art. For example, architects must accurately calculate angles to ensure structures are stable and aesthetically pleasing. When designing a building, an architect might create a blueprint that includes multiple adjacent angles to ensure that rooms connect properly and that walls meet at the right angles. In addition to their practical uses, adjacent angles also have interesting properties that can be explored further. For example, when two parallel lines are cut by a transversal, the pairs of adjacent angles formed are supplementary, meaning that their measures add up to 180 degrees. This property is essential in various proofs and can be used to find unknown angle measures in complex geometric figures. Moreover, the concept of adjacent angles can be extended to more advanced topics in mathematics, such as trigonometry and calculus. In trigonometry, the relationships between angles play a significant role in understanding the properties of triangles and circles. For instance, knowing how to identify adjacent angles can help in solving problems involving sine, cosine, and tangent functions. Similarly, in calculus, understanding the behavior of angles and their relationships can aid in analyzing curves and their slopes. In conclusion, the concept of adjacent angle is a fundamental aspect of geometry that serves as a building block for more complex mathematical ideas. Whether in practical applications like architecture or in theoretical explorations in higher mathematics, mastering the understanding of adjacent angles is essential for anyone looking to deepen their knowledge of geometry. By recognizing the importance of adjacent angles and their properties, students and professionals alike can enhance their problem-solving skills and apply these concepts in real-world situations. The study of angles, including adjacent angles, opens up a vast realm of possibilities in both academic and practical contexts, making it a vital area of focus in the field of mathematics.

在几何学的世界中，理解不同类型角之间的关系对于解决问题和证明定理至关重要。一个经常出现的重要概念是邻接角的概念，它指的是两个共享一个公共边和一个公共顶点但不重叠的角。这种关系在各种几何构造和证明中是基础性的。例如，当两条线相交时，它们形成两对邻接角。这可以很容易地可视化：如果你想象两条街道交叉，交叉点形成的角就是邻接角，因为它们共享一个顶点（街道相遇的点）和一条边（街道本身）。理解邻接角不仅在理论数学中重要，而且在建筑、工程甚至艺术等领域也有实际应用。例如，建筑师必须准确计算角度，以确保结构稳定且美观。在设计建筑时，建筑师可能会创建一个包含多个邻接角的蓝图，以确保房间正确连接，墙壁以正确的角度相交。除了它们的实际用途外，邻接角还有一些有趣的属性可以进一步探讨。例如，当两条平行线被一条横线切割时，形成的邻接角对是互补的，这意味着它们的度数和为180度。这个属性在各种证明中是必不可少的，可以用于在复杂几何图形中找到未知角度的度数。此外，邻接角的概念可以扩展到更高级的数学主题，如三角学和微积分。在三角学中，角之间的关系在理解三角形和圆的性质方面起着重要作用。例如，知道如何识别邻接角可以帮助解决涉及正弦、余弦和正切函数的问题。同样，在微积分中，理解角度及其关系的行为可以帮助分析曲线及其斜率。总之，邻接角的概念是几何学的一个基本方面，是更复杂的数学思想的基石。无论是在建筑等实际应用中，还是在更高层次的数学理论探索中，掌握邻接角的理解对于任何希望深化几何知识的人来说都是必不可少的。通过认识到邻接角及其属性的重要性，学生和专业人士都可以增强他们的解决问题的能力，并将这些概念应用于现实世界的情况。对角度的研究，包括邻接角，打开了一个广阔的可能性领域，无论是在学术上还是在实际上下文中，使其成为数学领域的一个重要关注点。