included angle

简明释义

夹角接触角坡口角度

英英释义

例句

1.In physics, the included angle 夹角 between two vectors can affect the resultant vector's magnitude.

在物理学中，两向量之间的夹角 夹角 可以影响结果向量的大小。

2.To find the length of the third side in a triangle, you need to know the lengths of the other two sides and the included angle 夹角.

要找到三角形中第三条边的长度，您需要知道其他两条边的长度和夹角 夹角。

3.When constructing geometric shapes, always measure the included angle 夹角 accurately for precision.

在构建几何图形时，始终准确测量夹角 夹角以确保精度。

4.In a triangle, the included angle 夹角 between two sides is crucial for calculating the area.

在一个三角形中，两条边之间的夹角 夹角 对于计算面积至关重要。

5.The formula for the cosine rule involves the included angle 夹角 between the known sides.

余弦定理的公式涉及已知边之间的夹角 夹角。

作文

In the world of geometry, understanding the concept of the included angle is crucial for solving various problems related to triangles and polygons. The included angle refers to the angle formed between two sides of a polygon that share a common vertex. For instance, in a triangle, if we consider two sides that meet at one vertex, the angle formed between these two sides is known as the included angle. This concept not only applies to triangles but also extends to other shapes, such as quadrilaterals and polygons with more sides.To illustrate the importance of the included angle, let's consider a practical example. Imagine you are an architect designing a triangular roof for a building. To ensure the roof is structurally sound, you must calculate the angles accurately. The included angle between the two rafters will determine how steep the roof will be, which directly impacts the aesthetics and functionality of the design. If the angle is too steep, it may lead to issues with snow accumulation or water drainage; if it's too shallow, it may not provide adequate shelter from the elements.Furthermore, in trigonometry, the included angle plays a significant role in calculations involving the sine, cosine, and tangent functions. For example, when using the Law of Cosines, the included angle helps us find the lengths of the sides of a triangle when we know two sides and the angle between them. This relationship is vital for solving problems in physics and engineering, where precise measurements and calculations are essential.In addition to its mathematical significance, the included angle has practical applications in various fields. For instance, in navigation, sailors and pilots often need to calculate angles between their current position and a destination. Understanding the included angle allows them to plot a course that minimizes travel time and maximizes safety. Similarly, in sports like baseball or soccer, players must understand angles to make accurate passes or shots on goal. The included angle between the player and the target can significantly influence the success of the play.Moreover, the included angle is also relevant in computer graphics and animation. When creating 3D models or animations, artists must manipulate angles to achieve realistic perspectives and movements. The included angle between different elements in a scene can affect how they interact with each other and the viewer's perception of depth and space.In conclusion, the concept of the included angle is fundamental in both theoretical and practical applications. Whether you are working on a geometry problem, designing a building, navigating a vessel, or creating digital art, understanding the included angle is essential for achieving accurate results. As we continue to explore the vast world of mathematics and its applications, let us appreciate the significance of angles and how they shape our understanding of the universe around us. By mastering the concept of the included angle, we equip ourselves with valuable tools to tackle complex challenges in various disciplines.

在几何学的世界中，理解夹角的概念对于解决与三角形和多边形相关的各种问题至关重要。夹角是指两个共享一个公共顶点的多边形的边之间形成的角度。例如，在一个三角形中，如果我们考虑在一个顶点相遇的两条边，那么这两条边之间形成的角度就被称为夹角。这个概念不仅适用于三角形，还延伸到其他形状，如四边形和多边形。为了说明夹角的重要性，让我们考虑一个实际的例子。想象一下，你是一名建筑师，正在为一栋建筑设计一个三角形屋顶。为了确保屋顶结构安全，你必须准确计算角度。两根椽子之间的夹角将决定屋顶的陡峭程度，这直接影响到设计的美观性和功能性。如果角度太陡，可能会导致积雪或排水问题；如果太平缓，则可能无法提供足够的遮蔽。此外，在三角学中，夹角在涉及正弦、余弦和正切函数的计算中起着重要作用。例如，当使用余弦定律时，夹角帮助我们在知道两条边及其夹角的情况下找出三角形的边长。这种关系对于解决物理和工程中的问题至关重要，因为精确的测量和计算是必不可少的。除了其数学意义外，夹角在各个领域也有实际应用。例如，在导航中，水手和飞行员经常需要计算他们当前位置与目的地之间的角度。理解夹角使他们能够规划出最小化旅行时间并最大限度提高安全性的航线。类似地，在棒球或足球等运动中，球员必须理解角度以进行准确的传球或射门。玩家与目标之间的夹角可以显著影响比赛的成功。此外，夹角在计算机图形和动画中也很相关。在创建3D模型或动画时，艺术家必须操纵角度以实现逼真的透视和运动。场景中不同元素之间的夹角可以影响它们之间的互动以及观众对深度和空间的感知。总之，夹角的概念在理论和实践应用中都是基础。无论你是在处理几何问题、设计建筑、导航船只还是创建数字艺术，理解夹角对于实现准确的结果至关重要。随着我们继续探索数学及其应用的广阔世界，让我们欣赏角度的重要性，以及它们如何塑造我们对周围宇宙的理解。通过掌握夹角的概念，我们为自己配备了应对各个学科复杂挑战的宝贵工具。