bisectrix

简明释义

英[baɪˈsɛktrɪks]美[baɪˈsɛktrɪks]

n. 等分角线；[数] 等分线

复 数 b i s e c t r i c e s

英英释义

单词用法

同义词

反义词

例句

1.To find the bisectrix 角平分线 of a triangle, you need to measure each angle accurately.

要找到三角形的bisectrix 角平分线，你需要准确测量每个角度。

2.In geometry, the line that divides an angle into two equal parts is called the bisectrix 角平分线.

在几何中，将一个角分成两个相等部分的直线称为bisectrix 角平分线.

3.The intersection of two bisectrix 角平分线 indicates the center of the circle inscribed in the triangle.

两条bisectrix 角平分线的交点表示三角形内切圆的中心。

4.The bisectrix 角平分线 can be used to determine the incenter of a triangle.

可以使用bisectrix 角平分线来确定三角形的内心。

5.In the construction of geometric figures, drawing a bisectrix 角平分线 is essential for accuracy.

在几何图形的构造中，绘制bisectrix 角平分线对于准确性至关重要。

作文

In the realm of geometry, understanding various terms and concepts is essential for mastering the subject. One such term that often comes up in discussions of angles and lines is bisectrix. The bisectrix is defined as a line or ray that divides an angle into two equal parts. This concept is fundamental in various geometric constructions and proofs, making it a crucial element for anyone studying geometry.To illustrate the importance of the bisectrix, let’s consider a practical example. Imagine you are tasked with designing a triangular park. To ensure that the park has equal sunlight exposure on both sides, you need to create a pathway that runs through the angle formed by two adjacent sides of the triangle. By drawing the bisectrix of the angle, you can effectively divide the space into two equal areas, allowing for balanced sunlight throughout the day.Furthermore, the bisectrix plays a significant role in various geometric theorems. For instance, one of the most well-known theorems in geometry states that the bisectrix of an angle in a triangle will also bisect the opposite side. This property is not only fascinating but also highly useful when solving problems related to triangles. By applying this theorem, you can find the lengths of sides or the measures of angles, enhancing your problem-solving skills.Moreover, the concept of the bisectrix extends beyond just angles. In trigonometry, the bisectrix can be used to determine the coordinates of points within a given figure. For example, if you are given the coordinates of two points that form an angle, you can calculate the coordinates of the point along the bisectrix using various mathematical formulas. This application underscores the versatility of the bisectrix in different branches of mathematics.In addition to its mathematical significance, the bisectrix also has real-world applications. Architects and engineers often rely on the principles of bisecting angles to create structures that are not only aesthetically pleasing but also structurally sound. By understanding how to use the bisectrix, they can ensure that their designs are balanced and functional.As we delve deeper into the study of geometry, it becomes increasingly clear that the bisectrix is more than just a term; it is a vital tool that aids in our understanding of shapes and spaces. Whether you are a student, a teacher, or someone simply interested in the beauty of mathematics, grasping the concept of the bisectrix can enhance your appreciation for the subject.In conclusion, the bisectrix is a powerful concept in geometry that serves multiple purposes, from dividing angles to aiding in complex calculations. Its applications in real-world scenarios highlight its importance in various fields, including architecture and engineering. By mastering the concept of the bisectrix, one can unlock a deeper understanding of geometry and its relevance in everyday life. Therefore, I encourage everyone to explore the fascinating world of geometry and pay close attention to the bisectrix and its many applications.

在几何学的领域，理解各种术语和概念对于掌握这门学科至关重要。其中一个在讨论角度和线条时经常出现的术语是bisectrix。bisectrix被定义为一条将角分成两个相等部分的线或射线。这个概念在各种几何构造和证明中是基础性的，因此对于任何学习几何的人来说都是一个重要的元素。为了说明bisectrix的重要性，让我们考虑一个实际的例子。假设你被委派设计一个三角形公园。为了确保公园两侧均匀接受阳光，你需要创建一条穿过三角形两个相邻边形成的角的路径。通过绘制这个角的bisectrix，你可以有效地将空间分成两个相等的区域，从而在一天中实现阳光的平衡。此外，bisectrix在各种几何定理中也发挥着重要作用。例如，几何学中最著名的定理之一指出，一个三角形中的角的bisectrix也会平分对边。这个性质不仅令人着迷，而且在解决与三角形相关的问题时非常有用。通过应用这个定理，你可以找到边的长度或角的度数，从而增强你的问题解决能力。而且，bisectrix的概念不仅限于角。在三角学中，bisectrix可以用来确定给定图形内点的坐标。例如，如果你给定了两个形成角的点的坐标，你可以使用各种数学公式计算沿着bisectrix的点的坐标。这一应用强调了bisectrix在不同数学分支中的多功能性。除了其数学意义外，bisectrix在现实世界中也有应用。建筑师和工程师通常依赖于平分角的原则来创建既美观又结构合理的建筑。通过理解如何使用bisectrix，他们可以确保设计的平衡和功能。随着我们深入研究几何学，越来越清楚的是，bisectrix不仅仅是一个术语；它是一个重要的工具，帮助我们理解形状和空间。无论你是学生、教师，还是对数学之美感兴趣的人，掌握bisectrix的概念都能增强你对这门学科的欣赏。总之，bisectrix是几何学中的一个强大概念，它具有多重用途，从分割角度到帮助复杂计算。它在现实场景中的应用突显了它在建筑和工程等多个领域的重要性。通过掌握bisectrix的概念，人们可以解锁对几何学及其在日常生活中的相关性更深刻的理解。因此，我鼓励每个人探索几何学的迷人世界，并密切关注bisectrix及其多种应用。