supplementary angle

简明释义

补角

英英释义

例句

1.In a right triangle, the two non-right angles are always supplementary angles 补角.

在直角三角形中，两个非直角的角总是supplementary angles 补角。

2.Architects often use supplementary angles 补角 to ensure that structures are stable and visually appealing.

建筑师经常使用supplementary angles 补角来确保结构的稳定性和美观性。

3.In geometry class, we learned that two angles are called supplementary angle 补角 if their measures add up to 180 degrees.

在几何课上，我们了解到如果两个角的度数相加等于180度，则这两个角称为supplementary angle 补角。

4.If one angle measures 70 degrees, its supplementary angle 补角 will measure 110 degrees.

如果一个角的度数为70度，则它的supplementary angle 补角将为110度。

5.When constructing a triangle, it’s important to remember that one angle can be a supplementary angle 补角 to another.

在构建三角形时，重要的是要记住一个角可以是另一个角的supplementary angle 补角。

作文

In the world of geometry, angles play a crucial role in understanding shapes and their properties. One important concept that students often encounter is the idea of a supplementary angle. A supplementary angle is defined as two angles whose measures add up to 180 degrees. This relationship is fundamental in various geometric applications, including the study of polygons and the properties of parallel lines. Understanding supplementary angles helps students to solve problems related to angles in triangles, quadrilaterals, and other geometric figures.To illustrate the concept of a supplementary angle, consider two angles, Angle A and Angle B. If Angle A measures 120 degrees, then Angle B must measure 60 degrees for them to be supplementary angles. This is because 120 + 60 equals 180 degrees. The ability to identify supplementary angles is essential when working with various geometric figures, especially when dealing with transversals intersecting parallel lines. In such cases, the alternate interior angles and corresponding angles can often be classified as supplementary angles.Moreover, supplementary angles are not only significant in theoretical geometry; they also have practical applications in real life. For example, architects and engineers frequently use the concept of supplementary angles when designing structures. They need to ensure that angles in their designs meet certain criteria for stability and aesthetics. In construction, understanding how to manipulate supplementary angles can lead to better design choices and more efficient use of materials.Additionally, the concept of supplementary angles extends beyond simple geometric figures. In trigonometry, the relationships between angles can be explored further. For instance, the sine and cosine functions of supplementary angles exhibit interesting properties. Specifically, the sine of an angle is equal to the cosine of its supplementary angle. This relationship can be expressed mathematically as sin(A) = cos(180° - A). Such identities are not only fascinating but also useful in solving complex mathematical problems.In conclusion, the concept of a supplementary angle is a fundamental aspect of geometry that has far-reaching implications in both theoretical mathematics and practical applications. By understanding how supplementary angles work, students can enhance their problem-solving skills and gain a deeper appreciation for the beauty of geometry. Whether in the classroom or in real-world scenarios, the knowledge of supplementary angles empowers individuals to tackle a variety of challenges with confidence and clarity. As we continue to explore the vast realm of geometry, the significance of supplementary angles will undoubtedly remain a key element in our mathematical journey.

在几何学的世界中，角度在理解形状及其属性方面发挥着至关重要的作用。学生们经常遇到的一个重要概念是补角的概念。补角被定义为两个角的度数相加等于180度。这种关系在各种几何应用中是基础，包括对多边形的研究和对平行线性质的研究。理解补角有助于学生解决与三角形、四边形及其他几何图形相关的角度问题。为了说明补角的概念，考虑两个角，角A和角B。如果角A的度数为120度，那么角B必须为60度，以使它们成为补角。这是因为120 + 60等于180度。识别补角的能力在处理各种几何图形时至关重要，特别是在处理穿越平行线的横截线时。在这种情况下，交替内角和对应角通常可以被分类为补角。此外，补角不仅在理论几何中重要；它们在现实生活中也有实际应用。例如，建筑师和工程师在设计结构时经常使用补角的概念。他们需要确保设计中的角度满足某些稳定性和美学标准。在建筑中，理解如何操纵补角可以导致更好的设计选择和更有效的材料使用。此外，补角的概念超出了简单的几何图形。在三角学中，角度之间的关系可以进一步探讨。例如，补角的正弦和余弦函数表现出有趣的性质。具体而言，一个角的正弦等于其补角的余弦。这种关系可以用数学表达为sin(A) = cos(180° - A)。这样的恒等式不仅引人入胜，而且在解决复杂的数学问题时也非常有用。总之，补角的概念是几何学的一个基本方面，在理论数学和实际应用中都有深远的影响。通过理解补角的工作原理，学生可以增强他们的解决问题的能力，并对几何的美感有更深入的欣赏。无论是在课堂上还是在现实场景中，了解补角使个人能够自信而清晰地应对各种挑战。随着我们继续探索几何的广阔领域，补角的重要性无疑将继续成为我们数学旅程中的关键元素。