included angle

简明释义

接触角

英英释义

例句

1.When designing a roof, the included angle 夹角 of the rafters is crucial for structural integrity.

在设计屋顶时，椽子的夹角对结构完整性至关重要。

2.In a triangle, the sum of the angles is always equal to 180 degrees, including the included angle 夹角.

在一个三角形中，所有角的和总是等于180度，包括夹角。

3.In navigation, knowing the included angle 夹角 between two landmarks can help determine your position.

在导航中，知道两个地标之间的夹角可以帮助确定你的位置。

4.To calculate the area of a triangle, you need the lengths of two sides and the included angle 夹角 between them.

要计算三角形的面积，你需要两条边的长度和它们之间的夹角。

5.The formula for the cosine of the included angle 夹角 can be derived from the law of cosines.

夹角的余弦公式可以从余弦定律中推导出来。

作文

In the field of geometry, understanding the concept of the included angle is crucial for solving various problems related to triangles and other polygons. The included angle refers to the angle formed between two sides of a polygon, specifically between two adjacent sides. This concept is particularly important when dealing with triangles, as the included angle can significantly affect the properties and measurements of the triangle itself.For instance, consider a triangle ABC, where AB and AC are two sides of the triangle. The included angle in this case would be angle A, which is formed by the two sides AB and AC. Knowing the measures of the sides and the included angle, one can apply the Law of Cosines or the Law of Sines to find unknown lengths or angles within the triangle. This relationship is not only fundamental in theoretical geometry but also has practical applications in fields such as engineering and architecture.Moreover, the concept of the included angle extends beyond just triangles. In any polygon, the included angle plays a pivotal role in determining the shape and size of the figure. For example, in a parallelogram, the included angle between adjacent sides can help calculate the area of the shape using the formula Area = base × height, where height can be determined using trigonometric functions based on the included angle.Understanding how to manipulate and calculate the included angle is essential for students studying geometry. It allows them to visualize relationships between different elements of shapes and helps them develop problem-solving skills that are applicable in real-world scenarios. Furthermore, mastering the concept of the included angle can lead to a deeper appreciation of the beauty and complexity of geometric figures.In addition to its mathematical significance, the included angle also has implications in various scientific fields. For example, in physics, the included angle can influence the resultant vector when two forces are applied at an angle to each other. The calculations involving the included angle can help determine the direction and magnitude of the resultant force, which is essential in mechanical engineering and physics applications.In conclusion, the included angle is a fundamental concept in geometry that serves as a bridge connecting various mathematical principles and real-world applications. By grasping the importance of the included angle, students and professionals alike can enhance their understanding of geometric relationships and improve their analytical skills. Whether applied in mathematics, physics, engineering, or architecture, the included angle remains a vital aspect of comprehending the world around us, enabling us to solve complex problems and innovate in our respective fields.

在几何学领域，理解“included angle”的概念对于解决与三角形和其他多边形相关的各种问题至关重要。“included angle”指的是由多边形的两条边之间形成的角度，特别是相邻两条边之间的角度。这个概念在处理三角形时尤其重要，因为“included angle”可以显著影响三角形本身的性质和测量。例如，考虑一个三角形ABC，其中AB和AC是三角形的两条边。在这种情况下，“included angle”将是角A，它是由两条边AB和AC形成的。知道边的长度和“included angle”的度数，可以应用余弦定律或正弦定律来找到三角形内部未知的长度或角度。这种关系不仅在理论几何中是基础的，而且在工程和建筑等领域也有实际应用。此外，“included angle”的概念不仅限于三角形。在任何多边形中，“included angle”在确定图形的形状和大小方面发挥着关键作用。例如，在平行四边形中，相邻边之间的“included angle”可以帮助计算该形状的面积，使用公式面积=底×高，其中高度可以根据“included angle”通过三角函数来确定。理解如何操作和计算“included angle”对于学习几何的学生至关重要。它使他们能够可视化形状不同元素之间的关系，并帮助他们发展适用于现实场景的问题解决技能。此外，掌握“included angle”的概念可以让人们更深刻地欣赏几何图形的美丽和复杂性。除了数学意义外，“included angle”在各个科学领域也有影响。例如，在物理学中，“included angle”可能会影响当两个力以一定角度施加时的合力向量。涉及“included angle”的计算可以帮助确定合力的方向和大小，这在机械工程和物理应用中至关重要。总之，“included angle”是几何学中的一个基本概念，它作为连接各种数学原理和现实应用的桥梁。通过掌握“included angle”的重要性，学生和专业人士都可以增强对几何关系的理解，提高分析能力。无论是在数学、物理、工程还是建筑中，“included angle”仍然是理解我们周围世界的重要方面，使我们能够解决复杂问题并在各自领域进行创新。