vertex

简明释义

[ˈvɜːteks][ˈvɜːrteks]

n. 顶点;[昆] 头顶;[天] 天顶

复 数 v e r t i c e s 或 v e r t e x e s

英英释义

A vertex is a point where two or more curves, lines, or edges meet.

顶点是两个或多个曲线、线条或边相交的点。

In geometry, a vertex is often referred to as a corner point of a polygon or polyhedron.

在几何中,顶点通常指多边形或多面体的角点。

In graph theory, a vertex represents a node in a graph.

在图论中,顶点表示图中的一个节点。

单词用法

vertex angle

顶角

vertex power

镜顶屈光度

同义词

peak

顶点

The mountain's peak was covered in snow.

这座山的顶点被雪覆盖。

apex

顶尖

The apex of the triangle is the highest point.

三角形的顶尖是最高点。

summit

峰会

They reached the summit of the mountain after a long hike.

经过长时间的徒步旅行,他们到达了山顶。

tip

尖端

She pointed to the tip of the pencil.

她指着铅笔的尖端。

反义词

base

The base of the triangle is longer than its height.

这个三角形的底边比它的高度长。

bottom

底部

The bottom of the mountain offers a beautiful view of the valley.

山脚下提供了美丽的山谷景色。

例句

1.In the first feasible region above, the optimal solution is the right vertex of the solution space.

在上面的第一个可行域中,优化解决方案是解析空间中的右顶点。

2.For each vertex, a texture coordinate defines which texture position will be used.

对于每个顶点而言,纹理坐标定义了使用纹理的位置。

3.Start with a vertex, put it in the tree. Then repeatedly do the following.

从一个顶点开始,把它放到树的集合中。然后重复做下面的事情。

4.Per-vertex dynamic lighting can add significant cost to vertex transformations.

逐像素的动态光照将对顶点变换增加显著的开销。

5.In flat-shading mode, you use the color of a triangle's third vertex across the whole triangle.

在平面着色渲染模式下,可用三角形的第三个顶点颜色为整个三角形着色。

6.The three vertices of the iron triangle collapse into one vertex of the Agile triangle called constraints.

传统铁三角的三个顶点转变为“敏捷三角形”的一个顶点,被称为约束。

7.The portal protein that forms the unique DNA entrance vertex of prohead.

门脉蛋白形成了独特的DNA前头的入口点。

8.The vertex 顶点 of the parabola represents the minimum or maximum value.

抛物线的vertex 顶点表示最小值或最大值。

9.In geometry, the point where two lines meet is called the vertex 顶点.

在几何中,两条线相交的点称为vertex 顶点

10.To find the vertex 顶点 of a quadratic equation, use the formula -b/2a.

要找到二次方程的vertex 顶点,请使用公式-b/2a。

11.In a triangle, each corner is a vertex 顶点.

在三角形中,每个角都是一个vertex 顶点

12.The highest point of the pyramid is its vertex 顶点.

金字塔的最高点是它的vertex 顶点

作文

In the realm of geometry, the term vertex refers to a crucial point where two or more lines, edges, or rays meet. Understanding the concept of vertex is essential for students studying mathematics, as it forms the basis for various geometric shapes and principles. A triangle, for instance, consists of three vertices, each representing a corner where two sides intersect. This simple yet profound idea can be extended to other polygons, such as quadrilaterals, pentagons, and beyond, where the number of vertices increases with the complexity of the shape.The significance of the vertex extends beyond basic geometry. In the study of three-dimensional shapes, the vertex becomes even more critical. For example, in a cube, there are eight vertices, each one marking the intersection of three edges. These points not only help define the structure of the cube but also play a vital role in understanding spatial relationships and properties of solid figures. Moreover, the concept of vertex is not limited to geometry alone; it has applications in various fields such as computer graphics, architecture, and engineering. In computer graphics, a vertex is a fundamental unit used to create 3D models. Each vertex contains information about its position in space, color, texture, and other attributes. By manipulating these vertices, artists and designers can create intricate virtual environments and realistic animations.In the field of architecture, understanding the vertex is crucial for designing structures that are both aesthetically pleasing and structurally sound. Architects must consider how vertices interact within a design, ensuring that the connections between different elements are stable and visually appealing. The careful consideration of vertices can lead to innovative designs that push the boundaries of traditional architecture.Furthermore, in graph theory, a branch of mathematics that studies networks, a vertex represents a fundamental unit in a graph. Each vertex can be connected to others through edges, forming complex networks that can model real-world systems such as social networks, transportation systems, and communication networks. Analyzing these vertices and their connections allows researchers to gain insights into the behavior and dynamics of the entire system.In conclusion, the term vertex embodies a multifaceted concept that transcends mere geometric definitions. Whether in mathematics, computer graphics, architecture, or graph theory, the vertex serves as a foundational element that facilitates understanding and innovation across various disciplines. By recognizing the importance of vertices, students and professionals alike can appreciate the interconnectedness of knowledge and the role that these points play in shaping our understanding of the world. As we continue to explore and expand our knowledge, the vertex will undoubtedly remain a pivotal concept in both theoretical and practical applications.

在几何学领域,术语vertex指的是两个或多个线条、边缘或光线交汇的关键点。理解vertex的概念对于学习数学的学生至关重要,因为它构成了各种几何形状和原理的基础。例如,一个三角形由三个vertices组成,每个vertex代表两条边相交的角落。这个简单而深刻的想法可以扩展到其他多边形,如四边形、五边形等,其中随着形状复杂性的增加,vertices的数量也会增加。vertex的重要性不仅限于基本几何学。在三维形状的研究中,vertex变得更加关键。例如,在一个立方体中,有八个vertices,每一个标记着三条边的交点。这些点不仅帮助定义立方体的结构,还在理解空间关系和固体图形的属性方面发挥着重要作用。此外,vertex的概念不仅限于几何学;它在计算机图形学、建筑和工程等多个领域都有应用。在计算机图形学中,vertex是用于创建3D模型的基本单元。每个vertex包含有关其在空间中的位置、颜色、纹理和其他属性的信息。通过操控这些vertices,艺术家和设计师可以创建复杂的虚拟环境和逼真的动画。在建筑领域,理解vertex对于设计既美观又结构稳固的建筑至关重要。建筑师必须考虑vertices在设计中的相互作用,确保不同元素之间的连接既稳定又具有视觉吸引力。对vertices的仔细考虑可以导致推动传统建筑界限的创新设计。此外,在图论中,vertex代表图中的基本单元。每个vertex可以通过边与其他vertices相连,形成复杂的网络,可以建模现实世界的系统,例如社交网络、交通系统和通信网络。分析这些vertices及其连接可以使研究人员深入了解整个系统的行为和动态。总之,术语vertex体现了一个多面的概念,超越了单纯的几何定义。无论是在数学、计算机图形学、建筑还是图论中,vertex作为一个基础元素,促进了各学科的理解和创新。通过认识到vertices的重要性,学生和专业人士都能欣赏知识的相互联系,以及这些点在塑造我们对世界的理解中所扮演的角色。随着我们继续探索和扩展我们的知识,vertex无疑将继续成为理论和实践应用中的关键概念。