plane triangle

简明释义

平面三角形

英英释义

例句

1.The architect designed a roof that resembles a plane triangle 平面三角形 for better water drainage.

建筑师设计了一个类似于平面三角形 平面三角形的屋顶，以便更好地排水。

2.The mathematician proved that the sum of the angles in a plane triangle 平面三角形 is always 180 degrees.

数学家证明了平面三角形 平面三角形的内角和总是180度。

3.In geometry class, we learned how to calculate the area of a plane triangle 平面三角形 using the base and height.

在几何课上，我们学习了如何使用底和高来计算平面三角形 平面三角形的面积。

4.In computer graphics, rendering a plane triangle 平面三角形 is a fundamental operation.

在计算机图形学中，渲染平面三角形 平面三角形是一项基本操作。

5.When drawing a plane triangle 平面三角形, it's important to use a ruler to ensure straight edges.

绘制平面三角形 平面三角形时，使用尺子确保边缘直是很重要的。

作文

In the realm of geometry, the concept of a plane triangle is fundamental and serves as a building block for understanding more complex shapes and figures. A plane triangle (平面三角形) is defined as a three-sided polygon that lies entirely within a flat surface, known as a plane. This definition may seem simple, but it encompasses a variety of properties and characteristics that are crucial for students and enthusiasts of mathematics to grasp. To begin with, a plane triangle has three vertices and three edges. The vertices are the points where the edges meet, while the edges are the straight lines connecting these points. One of the most fascinating aspects of triangles is that they can be classified into different categories based on their sides and angles. For instance, an equilateral triangle has all sides of equal length and all angles measuring 60 degrees. In contrast, an isosceles triangle has two sides that are of equal length, while a scalene triangle has no sides that are equal. The angles within a plane triangle also play a significant role in its properties. The sum of the interior angles of any triangle is always 180 degrees. This fact is not only essential for solving various mathematical problems, but it also lays the groundwork for more advanced topics such as trigonometry. Understanding how to manipulate and calculate the angles in a plane triangle is vital for students who wish to excel in mathematics. Another important aspect of the plane triangle is its area. The area of a triangle can be calculated using several methods, the most common being the formula: Area = 1/2 * base * height. Here, the base refers to one side of the triangle, and the height is the perpendicular distance from the opposite vertex to that base. This formula allows for quick calculations and is widely used in various fields, including architecture, engineering, and physics. Moreover, the concept of the plane triangle extends beyond mere theoretical mathematics. Triangles are prevalent in real-world applications, from the design of bridges and buildings to the creation of computer graphics and animations. Engineers and architects often rely on the properties of triangles to ensure stability and strength in their designs. The triangular shape is inherently strong and can distribute weight evenly, making it a preferred choice in construction. In addition to practical applications, the plane triangle also holds cultural significance in various societies. Triangles have been used symbolically throughout history, representing concepts such as harmony, balance, and change. For example, in ancient Egypt, the pyramid shape, which is built on a triangular base, was seen as a representation of the connection between the earth and the heavens. In conclusion, the plane triangle (平面三角形) is not just a basic geometric figure; it is a vital element that connects various branches of mathematics and has significant real-world applications. By understanding the properties, classifications, and uses of triangles, students can build a solid foundation for further studies in geometry and other mathematical disciplines. As we continue to explore the world of shapes and figures, the plane triangle remains an essential topic that will undoubtedly enhance our understanding of the universe around us.

在几何学领域，平面三角形的概念是基础性的，作为理解更复杂形状和图形的基石。平面三角形（plane triangle）被定义为一个三边多边形，完全位于一个平面内。这个定义看似简单，但它包含了多种属性和特征，对于数学学生和爱好者而言，掌握这些内容至关重要。首先，平面三角形有三个顶点和三条边。顶点是边相交的点，而边则是连接这些点的直线。三角形最迷人的方面之一是，它们可以根据边和角进行分类。例如，等边三角形的所有边长度相等，所有角度均为60度。相比之下，等腰三角形有两条边的长度相等，而不等边三角形的边长各不相同。平面三角形内部的角度在其属性中也起着重要作用。任何三角形的内角和总是180度。这一事实不仅对解决各种数学问题至关重要，而且为更高级的主题如三角学奠定了基础。理解如何操作和计算平面三角形中的角度，对希望在数学上取得优异成绩的学生来说至关重要。另一个重要的方面是平面三角形的面积。三角形的面积可以通过几种方法计算，其中最常见的是公式：面积 = 1/2 * 底 * 高。这里，底指三角形的一条边，而高是从对面顶点到该底边的垂直距离。这个公式允许快速计算，并广泛应用于建筑、工程和物理等各个领域。此外，平面三角形的概念超越了纯理论数学。三角形在现实世界的应用中随处可见，从桥梁和建筑的设计到计算机图形和动画的创建。工程师和建筑师经常依赖三角形的属性来确保他们设计的稳定性和强度。三角形的形状本质上是坚固的，可以均匀分配重量，因此在建筑中是首选的选择。除了实际应用，平面三角形在各种社会中还具有文化意义。历史上，三角形被用作象征，代表和谐、平衡和变化等概念。例如，在古埃及，金字塔形状基于三角形的基础，被视为地球与天之间联系的象征。总之，平面三角形（平面三角形）不仅仅是一个基本的几何图形；它是连接数学各个分支的重要元素，并且具有显著的现实应用。通过理解三角形的属性、分类和用途，学生可以为进一步学习几何和其他数学学科打下坚实的基础。在我们继续探索形状和图形的世界时，平面三角形仍然是一个重要的主题，无疑将增强我们对周围宇宙的理解。