center chord

简明释义

中心翼弦

英英释义

The center chord refers to a structural element in a geometric figure, particularly in the context of circles or arcs, that connects two points on the circumference and passes through the center of the circle.

中心弦是指在几何图形中,特别是在圆或弧的上下文中,连接圆周上两个点并通过圆心的结构元素。

例句

1.A failure in the center chord could lead to catastrophic results in construction.

在施工中,中心弦的失效可能导致灾难性的后果。

2.For optimal performance, the center chord should be made of high-strength materials.

为了获得最佳性能,中心弦应由高强度材料制成。

3.The center chord of the truss helps distribute weight evenly across the structure.

桁架的中心弦有助于将重量均匀分配到整个结构上。

4.The tension in the center chord is crucial for maintaining the structural integrity of the bridge.

桥梁中中心弦的张力对保持结构完整性至关重要。

5.When designing the roof, engineers must calculate the load on the center chord accurately.

在设计屋顶时,工程师必须准确计算中心弦上的负荷。

作文

In the world of geometry and mathematics, there are numerous terms that help us describe shapes and their properties. One such term is the center chord, which plays a significant role in understanding circles and their characteristics. A center chord can be defined as a line segment that connects two points on the circumference of a circle and passes through the center of the circle. This concept is fundamental when studying the properties of circles, as it helps illustrate various relationships within the circle itself.To better understand the importance of the center chord, let's consider a circle with a radius. The radius is the distance from the center of the circle to any point on its circumference. When we draw a center chord, we are essentially creating a line that not only connects two points on the edge of the circle but also bisects the circle into two equal halves. This property of symmetry is crucial in many mathematical applications, including calculations related to area and circumference.Another important aspect of the center chord is its relationship with the diameter of the circle. The diameter is the longest possible center chord in a circle, as it stretches from one side of the circumference to the other while passing through the center. This means that every diameter is a center chord, but not every center chord is a diameter. Understanding this distinction is vital for students who are learning about circles in mathematics, as it lays the groundwork for more complex concepts such as arcs and sectors.The center chord also has practical applications outside of theoretical mathematics. For instance, in engineering and architecture, understanding the properties of circles and their center chords can aid in the design of circular structures, such as domes or arches. By knowing how to calculate the length of a center chord, architects can ensure that their designs maintain structural integrity while achieving aesthetic appeal.Moreover, the center chord can be used in various fields such as physics and computer graphics. In physics, the concept of a center chord can be applied to understand rotational motion and the forces acting on objects in circular paths. In computer graphics, the center chord can help create realistic representations of circular objects, allowing designers to accurately depict curves and angles.In conclusion, the term center chord is more than just a mathematical expression; it embodies a range of concepts that are essential for understanding circles. From its definition as a line segment connecting two points on the circumference and passing through the center, to its relationship with the diameter, the center chord serves as a foundational element in geometry. Its practical applications in engineering, physics, and computer graphics further illustrate its significance in both theoretical and real-world contexts. By grasping the concept of the center chord, students and professionals alike can enhance their understanding of circular geometry and apply these principles effectively in various fields.

在几何和数学的世界中,有许多术语帮助我们描述形状及其属性。其中一个术语是中心弦,它在理解圆及其特性方面起着重要作用。中心弦可以定义为连接圆周上两个点并通过圆心的线段。这个概念在研究圆的性质时是基础性的,因为它有助于说明圆内部的各种关系。为了更好地理解中心弦的重要性,让我们考虑一个半径的圆。半径是从圆心到圆周上任意一点的距离。当我们绘制一条中心弦时,我们实际上是在创建一条不仅连接圆边缘上两个点的线,而且还将圆分成两个相等的部分。这种对称性特性在许多数学应用中至关重要,包括与面积和周长相关的计算。中心弦的另一个重要方面是它与圆的直径之间的关系。直径是圆中可能存在的最长的中心弦,因为它从圆周的一侧延伸到另一侧,同时经过圆心。这意味着每个直径都是一条中心弦,但并不是每条中心弦都是直径。理解这种区别对于学习圆的学生来说至关重要,因为它为更复杂的概念如弧和扇形奠定了基础。中心弦在理论数学之外也有实际应用。例如,在工程和建筑中,理解圆及其中心弦的性质可以帮助设计圆形结构,如穹顶或拱门。通过知道如何计算中心弦的长度,建筑师可以确保他们的设计在保持结构完整性的同时实现美学吸引力。此外,中心弦还可以用于物理学和计算机图形学等各个领域。在物理学中,中心弦的概念可以应用于理解旋转运动和作用在圆形路径上的物体的力。在计算机图形学中,中心弦可以帮助创建圆形物体的真实表示,使设计师能够准确描绘曲线和角度。总之,术语中心弦不仅仅是一个数学表达;它体现了一系列对于理解圆形至关重要的概念。从它被定义为连接圆周上两个点并通过中心的线段,到它与直径的关系,中心弦作为几何学中的基础元素服务于众多应用。它在工程、物理和计算机图形学中的实际应用进一步说明了它在理论和现实世界中的重要性。通过掌握中心弦的概念,学生和专业人士都可以增强对圆形几何的理解,并在各个领域有效地应用这些原理。