minor axis

简明释义

短轴

英英释义

例句

1.The focus points of the ellipse are located along the minor axis as well as the major axis.

椭圆的焦点位于次轴和主轴上。

2.To find the area of the ellipse, you need to know both the lengths of the major and minor axes.

要计算椭圆的面积，您需要知道主轴和次轴的长度。

3.In geometry, the distance from the center to the edge along the minor axis is crucial for defining the shape of an ellipse.

在几何学中，从中心到边缘沿着次轴的距离对于定义椭圆的形状至关重要。

4.When analyzing the data, we plotted the points along the minor axis to observe variations.

在分析数据时，我们沿着次轴绘制了点以观察变化。

5.The ellipse was drawn with the longer dimension along the major axis and the shorter dimension along the minor axis.

这个椭圆的较长维度沿着主轴，而较短维度沿着次轴。

作文

In the study of geometry, particularly when discussing ellipses, we often encounter the terms 'major axis' and 'minor axis.' The term minor axis refers to the shorter diameter of an ellipse, which is perpendicular to the major axis. Understanding the concept of the minor axis is crucial for various applications in mathematics and physics, as it helps in defining the shape and properties of elliptical figures. An ellipse can be visualized as a stretched circle, where the major axis runs through the longest part of the ellipse, while the minor axis cuts across the ellipse at its shortest point. This distinction between the two axes not only helps in calculating the area of the ellipse but also in understanding its symmetry. For instance, if we consider a standard ellipse centered at the origin with the equation (x^2/a^2) + (y^2/b^2) = 1, here 'a' represents half the length of the major axis, and 'b' represents half the length of the minor axis. To illustrate this further, let's take an example of an elliptical orbit, which is often used in astronomy to describe the paths of planets around the sun. In this context, the minor axis plays a vital role in determining the eccentricity of the orbit. Eccentricity is a measure of how much an orbit deviates from being circular. A lower eccentricity indicates a more circular orbit, while a higher eccentricity suggests a more elongated shape. The relationship between the minor axis and the major axis is integral in calculating this eccentricity, as it directly influences the overall shape of the orbit. Furthermore, the minor axis has practical implications beyond theoretical mathematics. In fields such as engineering and design, understanding the properties of ellipses, including the minor axis, is essential when creating components that require precise measurements. For example, in designing gears or pulleys, the elliptical shape may be utilized to optimize performance and efficiency. Engineers must consider both the major and minor axis dimensions to ensure that the components fit together properly and function as intended. In conclusion, the minor axis is a fundamental concept in the study of ellipses and has significant applications across various disciplines. By grasping the definition and importance of the minor axis, students and professionals alike can better understand the principles of geometry and their real-world applications. Whether one is calculating areas, analyzing orbits, or designing mechanical parts, the minor axis serves as a critical element in achieving accuracy and functionality. Therefore, it is essential to give due attention to this concept in any mathematical or engineering curriculum.

在几何学的研究中，特别是在讨论椭圆时，我们常常会遇到“主轴”和“次轴”这两个术语。“次轴”指的是椭圆的较短直径，它与主轴垂直。理解次轴的概念对于数学和物理的各种应用至关重要，因为它有助于定义椭圆形状及其属性。可以将椭圆视为一个被拉伸的圆，其中主轴穿过椭圆的最长部分，而次轴则在椭圆的最短点横穿。主轴和次轴之间的这种区别不仅有助于计算椭圆的面积，还有助于理解其对称性。例如，如果我们考虑一个以原点为中心的标准椭圆，其方程为(x^2/a^2) + (y^2/b^2) = 1，这里'a'表示主轴长度的一半，而'b'表示次轴长度的一半。为了进一步说明这一点，让我们以椭圆轨道为例，通常用于天文学中描述行星围绕太阳的路径。在这个背景下，次轴在确定轨道的偏心率方面发挥着重要作用。偏心率是衡量轨道偏离圆形程度的指标。较低的偏心率表示轨道更接近圆形，而较高的偏心率则表明形状更加拉长。次轴与主轴之间的关系对于计算这个偏心率至关重要，因为它直接影响轨道的整体形状。此外，次轴在理论数学之外还有实际应用。在工程和设计等领域，理解椭圆的性质，包括次轴，在创建需要精确测量的组件时至关重要。例如，在设计齿轮或滑轮时，可能会利用椭圆形状来优化性能和效率。工程师必须考虑主轴和次轴的尺寸，以确保组件能够正确配合并按预期功能运作。总之，次轴是椭圆研究中的基本概念，并在各个学科中具有重要应用。通过掌握次轴的定义和重要性，学生和专业人士可以更好地理解几何原理及其在现实世界中的应用。无论是计算面积、分析轨道还是设计机械部件，次轴都是实现准确性和功能性的关键要素。因此，在任何数学或工程课程中，给予这一概念应有的重视是至关重要的。