equilateral triangle

简明释义

等边三角形

英英释义

例句

1.The flag's design features a large equilateral triangle in the center.

这面旗帜的设计中央有一个大等边三角形。

2.The architect designed the roof to resemble an equilateral triangle.

建筑师设计的屋顶呈现出一个等边三角形的形状。

3.To construct an equilateral triangle, you need a compass and a straightedge.

要构造一个等边三角形，你需要一个圆规和一把直尺。

4.In geometry class, we learned how to calculate the area of an equilateral triangle.

在几何课上，我们学习了如何计算等边三角形的面积。

5.An equilateral triangle has all sides of equal length.

等边三角形的三条边长度相等。

作文

The beauty of geometry lies not only in its precision but also in the elegance of its shapes. One of the most fascinating geometric figures is the equilateral triangle, a triangle where all three sides are of equal length and all three angles are equal, measuring 60 degrees each. This unique property makes the equilateral triangle a subject of interest in various fields, including mathematics, art, and architecture.In mathematics, the equilateral triangle serves as a fundamental building block for understanding more complex geometric concepts. Its symmetry and uniformity make it an ideal shape for exploring properties such as area and perimeter. The formula for calculating the area of an equilateral triangle is derived from its side length. If 'a' represents the length of one side, the area can be calculated using the formula: Area = (√3/4) * a². This simplicity allows students to grasp the relationship between the sides and area while enhancing their problem-solving skills.Beyond the classroom, the equilateral triangle has significant applications in the real world. For instance, in architecture, many structures incorporate triangular shapes due to their strength and stability. The equilateral triangle is often used in trusses and bridges, where equal distribution of weight is crucial. This shape not only provides structural integrity but also contributes to the aesthetic appeal of buildings, as seen in the design of modern skyscrapers and iconic structures like the Eiffel Tower.Art also embraces the equilateral triangle for its harmonious proportions. Artists have long utilized this shape to create visually balanced compositions. The equilateral triangle can be found in various artworks, from classical paintings to contemporary designs. Its symmetrical nature draws the viewer's eye and creates a sense of order and tranquility within the piece.Moreover, the equilateral triangle holds cultural significance in many societies. In some cultures, it symbolizes balance and harmony, representing the connection between different elements. For example, in Hinduism, the equilateral triangle is often associated with the goddess Durga, embodying strength and protection. This spiritual aspect adds depth to the understanding of the equilateral triangle, transcending its mathematical definition and positioning it as a symbol of unity.In conclusion, the equilateral triangle is much more than just a simple geometric figure. Its properties make it a vital concept in mathematics, while its applications in architecture and art showcase its versatility. Additionally, its cultural significance enriches our appreciation for this shape, reminding us of the interconnectedness of mathematics, art, and culture. By studying the equilateral triangle, we gain insight into the beauty of geometry and its profound impact on our world.

几何的美不仅在于它的精确性，还在于其形状的优雅。最令人着迷的几何图形之一是等边三角形，这是一个三条边长度相等、三个角度相等（每个角度为60度）的三角形。这一独特的属性使得等边三角形在数学、艺术和建筑等各个领域都引起了人们的兴趣。在数学中，等边三角形作为理解更复杂几何概念的基本构件。它的对称性和均匀性使其成为探索面积和周长等属性的理想形状。计算等边三角形面积的公式源自其边长。如果'a'代表一条边的长度，则可以使用以下公式计算面积：面积 = (√3/4) * a²。这个简单性让学生能够掌握边与面积之间的关系，同时提高他们的解决问题的能力。在课堂之外，等边三角形在现实世界中具有重要的应用。例如，在建筑中，许多结构由于其强度和稳定性而采用三角形形状。等边三角形常用于桁架和桥梁中，在这些地方，重量的均匀分配至关重要。这种形状不仅提供结构完整性，还增强了建筑的美学吸引力，如现代摩天大楼和埃菲尔铁塔等标志性建筑的设计。艺术也因其和谐的比例而拥抱等边三角形。艺术家们长期以来利用这种形状来创造视觉上平衡的构图。在各种艺术作品中都能找到等边三角形，从古典绘画到当代设计。其对称的本质吸引观众的目光，并在作品中创造出一种秩序和宁静的感觉。此外，等边三角形在许多社会中具有文化意义。在某些文化中，它象征着平衡与和谐，代表着不同元素之间的联系。例如，在印度教中，等边三角形常常与女神杜尔迦相关联，体现着力量和保护。这一精神层面的内容为我们对等边三角形的理解增添了深度，使其超越了数学定义，成为团结的象征。总之，等边三角形远不止是一个简单的几何图形。它的属性使其成为数学中的重要概念，而它在建筑和艺术中的应用展示了其多样性。此外，它的文化意义丰富了我们对这一形状的欣赏，提醒我们数学、艺术和文化之间的相互联系。通过研究等边三角形，我们深入了解几何的美以及其对我们世界的深远影响。