trisection

简明释义

英[traɪˈsekʃən]美[traɪˈsekʃən]

n. 三分；[数] 三等分

英英释义

单词用法

同义词

反义词

例句

1.The trisection structure of achievement goal orientation really exists in the college students, which is also reasonable.

结果显示： 1。成就目标定向三分结构在大学生中是存在的、合理的。

2.It's a new coupling structure of trisection cross-coupling; filters designed in this way will have some original superiority.

三等分交叉耦合是一种新型的耦合结构；用其所设计的滤波器具有一些独到优势。

3.INTERVENTIONS: The detection of learning memory ability was carried out in MG 2 trisection radiation maze.

干预：学习记忆能力的检测在MG -2型三等分辐射式迷宫中进行。

4.He made a great progress in trisection ball and the shooting rate of penalty shot, and he is unimpeachable increasingly.

在三分球和罚球命中率方面也有了长足进步，他已经越来越无懈可击。

5.In the light of trisection Angle problem, the paper discusses the nature of trisection Angle and hyperbola and mechanical drawing and explores the problem of arbitrary proportion of a certain Angle.

文章就三分角问题分析了三分角双曲线的性质、机械作图法并在此基础上研究对某一角的任意等分问题。

6.In the light of trisection Angle problem, the paper discusses the nature of trisection Angle and hyperbola and mechanical drawing and explores the problem of arbitrary proportion of a certain Angle.

文章就三分角问题分析了三分角双曲线的性质、机械作图法并在此基础上研究对某一角的任意等分问题。

7.During the math competition, one of the problems involved the trisection of a line segment.

在数学竞赛中，有一道题目涉及到一条线段的三等分。

8.For the art project, we decided to use trisection to divide the canvas into three equal sections for different themes.

在艺术项目中，我们决定使用三等分将画布分成三个相等的部分以展示不同的主题。

9.The architect used trisection to create a more balanced design for the new building.

建筑师使用三等分来为新建筑创造一个更平衡的设计。

10.The teacher demonstrated how to perform a trisection using a compass and straightedge.

老师演示了如何使用圆规和直尺进行三等分。

11.In geometry class, we learned about the process of trisection, which refers to dividing an angle into three equal parts.

在几何课上，我们学习了三等分的过程，即将一个角度分成三等份。

作文

In the world of geometry, there are various ways to divide angles and shapes, but one particularly interesting concept is that of trisection. The term trisection refers to the division of an angle into three equal parts. This process has fascinated mathematicians for centuries, as it presents both a challenge and a beautiful illustration of geometric principles. Understanding trisection requires not only knowledge of basic angle measures but also an appreciation for the methods used to achieve this division.To begin with, let's explore the significance of trisection in mathematical history. Ancient Greeks were particularly interested in angle trisection as part of their studies in geometry. They sought to construct a method using only a compass and straightedge—a challenge that ultimately proved to be impossible for certain angles. The famous mathematician Hippocrates of Chios was among the first to investigate this problem, but it wasn't until later that the impossibility was rigorously proven. This historical context highlights the depth of trisection as not just a mathematical operation, but a symbol of the limits of classical geometry.In practical terms, trisection can be achieved through various methods. One common approach involves using a geometric construction technique. For example, if you have an angle formed by two rays, you can create an equilateral triangle on one of the rays and then draw lines from the vertex of the triangle to the opposite side of the angle. By carefully measuring and constructing these lines, you can effectively divide the original angle into three equal parts. This method showcases the beauty of geometry, as it combines creativity with mathematical precision.Moreover, trisection has applications beyond pure mathematics. In fields such as architecture and engineering, the ability to accurately divide angles can be crucial. For instance, when designing a structure, architects often need to calculate angles for stability and aesthetic purposes. The principles behind trisection can assist in ensuring that designs are both functional and visually appealing. Thus, understanding trisection is not only beneficial for theoretical study but also for practical application in real-world scenarios.Additionally, the concept of trisection can extend to other areas of mathematics, including algebra and calculus. For example, in calculus, the idea of dividing intervals into smaller segments can be likened to trisection. When dealing with functions and their graphs, breaking down complex problems into simpler parts is often essential for finding solutions. Therefore, the principles of trisection resonate throughout various branches of mathematics, illustrating its foundational importance.In conclusion, the concept of trisection serves as a fascinating intersection of history, theory, and application in mathematics. From its ancient roots to modern-day uses, trisection challenges our understanding of angles and shapes while providing practical tools for various fields. As we continue to explore the depths of geometry, the significance of trisection remains a testament to the enduring nature of mathematical inquiry and the quest for knowledge. Whether in the classroom or in professional practice, the principles of trisection will undoubtedly continue to inspire future generations of mathematicians and thinkers alike.

在几何学的世界中，有多种方法可以划分角度和形状，但一个特别有趣的概念是三等分。术语三等分指的是将一个角分成三个相等的部分。这个过程几个世纪以来一直吸引着数学家，因为它既是一个挑战，又是几何原理的美丽展示。理解三等分不仅需要对基本角度测量的知识，还需要对实现这一划分所使用的方法的欣赏。首先，让我们探讨一下三等分在数学历史上的重要性。古希腊人对角的三等分特别感兴趣，作为他们几何研究的一部分。他们试图仅使用圆规和直尺构造一种方法——这个挑战最终被证明对于某些角来说是不可能的。著名数学家希波克拉底是最早研究这个问题的人之一，但直到后来，这个不可能性才得到了严格证明。这个历史背景突显了三等分作为不仅仅是一个数学运算，而是经典几何局限性的象征。在实际操作中，可以通过各种方法实现三等分。一种常见的方法涉及使用几何构造技术。例如，如果你有一个由两条射线形成的角，你可以在其中一条射线上创建一个等边三角形，然后从三角形的顶点画线到角的对侧。通过仔细测量和构造这些线，你可以有效地将原始角划分为三个相等的部分。这种方法展示了几何的美丽，因为它将创造力与数学精确性结合在一起。此外，三等分在纯数学之外也有应用。在建筑和工程等领域，准确划分角度的能力至关重要。例如，在设计结构时，建筑师通常需要计算稳定性和美观性所需的角度。三等分背后的原理可以帮助确保设计既功能性又视觉吸引。因此，理解三等分不仅对理论研究有益，而且对现实场景中的实际应用也很重要。此外，三等分的概念还可以扩展到数学的其他领域，包括代数和微积分。例如，在微积分中，将区间划分为更小的段的想法可以与三等分相提并论。在处理函数及其图形时，将复杂问题分解为更简单的部分通常是找到解决方案的关键。因此，三等分的原理在数学的各个分支中共鸣，展示了其基础重要性。总之，三等分的概念作为数学历史、理论和应用的迷人交汇点。从其古老的根源到现代的用途，三等分挑战着我们对角度和形状的理解，同时为各个领域提供实用工具。当我们继续探索几何的深度时，三等分的重要性仍然是数学探究和知识追求的持久见证。无论是在课堂上还是在专业实践中，三等分的原理无疑将继续激励未来几代数学家和思想家。