major axis
简明释义
长径
英英释义
例句
1.In astronomy, the distance between two celestial bodies can be measured along the major axis of their orbits.
在天文学中,两个天体之间的距离可以沿着它们轨道的主轴进行测量。
2.The major axis of the rectangle is its longer side, which plays a crucial role in determining its area.
矩形的主轴是其较长的一边,这在确定其面积时起着关键作用。
3.The ellipse has a longer dimension along the major axis which is defined as the longest diameter.
椭圆的较长维度沿着主轴,定义为最长直径。
4.When analyzing data from the experiment, we found that the major axis of the data distribution indicated a strong correlation.
在分析实验数据时,我们发现数据分布的主轴显示出强相关性。
5.In design, the major axis helps to establish the focal points of a composition.
在设计中,主轴有助于确定构图的焦点。
作文
In the realm of geometry, the concept of the major axis plays a crucial role in understanding the properties of ellipses. An ellipse is defined as the set of points where the sum of the distances from two fixed points, known as foci, is constant. The major axis is the longest diameter of the ellipse, stretching across its widest part and passing through both foci. This axis is essential for determining various characteristics of the ellipse, including its eccentricity and area.Understanding the significance of the major axis requires an exploration of its geometric properties. In a standard ellipse centered at the origin, the equation can be represented as (x^2/a^2) + (y^2/b^2) = 1, where 'a' represents the semi-major axis and 'b' represents the semi-minor axis. The length of the major axis is twice the value of 'a', while the semi-major axis itself is 'a'. This relationship highlights the importance of the major axis in defining the overall shape and size of the ellipse.Moreover, the major axis serves as a reference line for various applications in physics and engineering. For instance, in astronomy, the orbits of planets around the sun can often be approximated as elliptical shapes. The major axis of these orbits helps astronomers calculate the distance between celestial bodies and understand their movement patterns. By analyzing the major axis, scientists can predict orbital periods and determine the gravitational forces at play.In addition to its mathematical and scientific relevance, the major axis also has artistic implications. Artists and designers often utilize the principles of geometry, including the major axis, to create visually appealing compositions. The balance and symmetry provided by the major axis can enhance the aesthetic quality of artwork, making it more engaging for viewers. By understanding how the major axis interacts with other elements in a design, artists can craft pieces that resonate with their audience.In conclusion, the major axis is a fundamental concept in geometry that extends beyond mathematics into various fields such as astronomy and art. Its role in defining the properties of ellipses and aiding in practical applications cannot be overstated. Whether one is studying the elliptical paths of planets or creating a beautiful piece of art, the major axis remains a vital element that connects these diverse disciplines. By grasping the significance of the major axis, individuals can deepen their understanding of both the mathematical world and the creative realms surrounding them.
在几何学领域,主轴的概念在理解椭圆的性质方面发挥着至关重要的作用。椭圆被定义为一组点,这些点到两个固定点(称为焦点)的距离之和是恒定的。主轴是椭圆最长的直径,横跨其最宽部分,并穿过两个焦点。这个轴对于确定椭圆的各种特征,包括其离心率和面积,是至关重要的。理解主轴的重要性需要探索其几何特性。在以原点为中心的标准椭圆中,其方程可以表示为(x²/a²) + (y²/b²) = 1,其中'a'表示半长轴,'b'表示半短轴。主轴的长度是'a'的两倍,而半长轴本身就是'a'。这种关系突显了主轴在定义椭圆整体形状和大小方面的重要性。此外,主轴作为物理和工程应用中的参考线也发挥着作用。例如,在天文学中,行星围绕太阳的轨道通常可以近似为椭圆形状。这些轨道的主轴帮助天文学家计算天体之间的距离并理解它们的运动模式。通过分析主轴,科学家可以预测轨道周期并确定作用的引力。除了其数学和科学相关性之外,主轴在艺术上也有重要意义。艺术家和设计师常常利用几何原理,包括主轴,来创造视觉上吸引人的作品。主轴所提供的平衡和对称性可以增强艺术作品的美学质量,使其更具吸引力。通过理解主轴如何与设计中的其他元素互动,艺术家可以创作出与观众产生共鸣的作品。总之,主轴是几何学中的一个基本概念,它超越了数学,扩展到天文学和艺术等多个领域。它在定义椭圆的性质和辅助实际应用方面的重要性不容小觑。无论是在研究行星的椭圆轨道还是创作美丽的艺术作品,主轴始终是连接这些不同学科的重要元素。通过掌握主轴的意义,个人可以加深对数学世界以及围绕它的创造性领域的理解。