vertex angle

简明释义

顶角

英英释义

例句

1.In geometry class, we learned that the vertex angle is crucial for determining the properties of different triangles.

在几何课上，我们了解到顶角对于确定不同三角形的性质至关重要。

2.In an isosceles triangle, the two equal sides meet at the vertex angle, which is the angle opposite the base.

在一个等腰三角形中，两条相等的边在顶角相交，这个角是对着底边的角。

3.To find the vertex angle of a triangle, you can use the formula: vertex angle = 180° - (base angles).

要找到三角形的顶角，你可以使用公式：顶角 = 180° - （底角）。

4.When constructing a triangle, ensure the vertex angle is acute to maintain its shape.

在构建三角形时，确保顶角是锐角，以保持其形状。

5.The vertex angle of a regular pentagon can be calculated using the formula: (n-2) * 180° / n.

正五边形的顶角可以用公式计算：(n-2) * 180° / n。

作文

In the study of geometry, the concept of angles is fundamental. Among the various types of angles, the vertex angle (顶角) holds a significant place, particularly in the context of triangles. A vertex angle is formed by two sides of a triangle that meet at a point known as the vertex. This angle is crucial for understanding the properties and classifications of triangles, which are essential components of geometric studies.To comprehend the importance of the vertex angle (顶角), one must first recognize the different types of triangles based on their angles. Triangles can be classified as acute, right, or obtuse, depending on the measurement of their vertex angles (顶角). An acute triangle has all its vertex angles (顶角) measuring less than 90 degrees, while a right triangle has one vertex angle (顶角) exactly equal to 90 degrees. Conversely, an obtuse triangle features one vertex angle (顶角) that exceeds 90 degrees. This classification is not merely academic; it has practical implications in fields such as engineering, architecture, and computer graphics.The measure of the vertex angle (顶角) also plays a critical role in determining the triangle's area and perimeter. For instance, using the formula for the area of a triangle, we can see how the vertex angle (顶角) influences the calculations. The area can be calculated using the formula: Area = 1/2 * base * height. Here, the height is often determined by the vertex angle (顶角) when using trigonometric functions. Therefore, a deeper understanding of the vertex angle (顶角) allows mathematicians and scientists to derive more accurate measurements and predictions in their respective fields.Moreover, the vertex angle (顶角) is essential in the study of polygon properties. In polygons with more than three sides, such as quadrilaterals and pentagons, the concept of the vertex angle (顶角) expands. Each vertex of these shapes contributes to the overall structure, and understanding the vertex angles (顶角) helps in analyzing the symmetry and balance of the shape. For example, in regular polygons, all vertex angles (顶角) are equal, leading to unique properties that can be utilized in design and architecture.In conclusion, the vertex angle (顶角) is a fundamental aspect of geometry that extends beyond mere theoretical knowledge. It serves as a building block for understanding various geometric properties and classifications. Whether in academic settings or practical applications, mastering the concept of the vertex angle (顶角) enhances one's ability to engage with mathematical challenges effectively. As students and professionals alike delve deeper into the world of geometry, the significance of the vertex angle (顶角) will undoubtedly remain a pivotal point of reference in their studies and applications.