helical line

简明释义

螺旋线

英英释义

A helical line is a three-dimensional curve that spirals around an axis at a constant distance while moving along the axis, resembling the shape of a helix.

螺旋线是一个三维曲线,它在一个轴周围以恒定距离螺旋上升,同时沿着轴移动,类似于螺旋的形状。

例句

1.The staircase spirals up in a helical line, providing an elegant ascent.

这座楼梯以螺旋线的方式向上延伸,提供了优雅的上升通道。

2.In physics, the motion of the particle can be described as following a helical line in three-dimensional space.

在物理学中,粒子的运动可以描述为在三维空间中沿着一条螺旋线进行。

3.The DNA molecule is structured as a double helix, which can be visualized as a helical line.

DNA分子的结构是双螺旋,可以将其视为一条螺旋线

4.The architect designed the building with a helical line that mimics the shape of a nautilus shell.

建筑师设计了这座建筑,以螺旋线的形式模仿鹦鹉螺的形状。

5.When examining the coil, you can see how it forms a helical line around the core.

在检查线圈时,你可以看到它是如何围绕核心形成一条螺旋线的。

作文

In the study of geometry and mathematics, various shapes and lines play a crucial role in understanding the spatial relationships between different objects. One fascinating concept that often captures the interest of students and professionals alike is the helical line (螺旋线). A helical line is defined as a three-dimensional curve that spirals around an axis while also moving vertically. This unique characteristic makes it distinct from other types of curves, such as circles or straight lines, which only occupy two dimensions.The helical line can be visualized easily by considering a common object: a spring. When you observe a spring, you notice that it coils around a central axis while extending upwards or downwards. This is a perfect representation of a helical line. In mathematical terms, a helical line can be described using parametric equations, which define its position in three-dimensional space. For example, the equations x(t) = r * cos(t), y(t) = r * sin(t), and z(t) = c * t describe a typical helical line, where 'r' is the radius of the helix, 'c' is a constant that determines the vertical spacing between each turn of the spiral, and 't' is the parameter that varies over time.Understanding the properties and applications of helical lines is essential in various fields, including engineering, physics, and biology. For instance, in engineering, helical lines are used in the design of screws and bolts, where the helical shape allows for efficient fastening and load distribution. In physics, the motion of particles in a magnetic field can often be described using helical lines, demonstrating how these concepts intersect in real-world applications.Furthermore, in the biological realm, many organisms exhibit helical structures. DNA, for example, has a double-helix structure, which is composed of two intertwined helical lines. This remarkable configuration is not only aesthetically pleasing but also functional, allowing for the compact storage of genetic information within cells.The significance of helical lines extends beyond mere academic interest; they are integral to our understanding of the natural world and the technologies we develop. By studying helical lines, students and researchers can gain insights into the fundamental principles of symmetry, structure, and function.In conclusion, the helical line (螺旋线) is a captivating geometric concept that intertwines with various disciplines. Its unique properties and applications make it an essential topic of study for anyone interested in mathematics, science, or engineering. As we continue to explore the complexities of our universe, the understanding of helical lines will undoubtedly play a pivotal role in advancing our knowledge and technological capabilities.

在几何和数学的研究中,各种形状和线条在理解不同物体之间的空间关系方面发挥着至关重要的作用。一个常常吸引学生和专业人士兴趣的迷人概念是helical line(螺旋线)。helical line被定义为一种三维曲线,它围绕一个轴螺旋上升或下降,同时也在垂直方向上移动。这一独特特性使其与其他类型的曲线(如圆或直线)截然不同,因为后者仅占据二维空间。通过考虑一个常见的物体:弹簧,可以很容易地可视化helical line。当你观察弹簧时,你会注意到它围绕一个中心轴线缠绕,同时向上或向下延伸。这是helical line的完美表现。在数学术语中,helical line可以通过参数方程来描述,这些方程定义了它在三维空间中的位置。例如,方程x(t) = r * cos(t),y(t) = r * sin(t),z(t) = c * t描述了一个典型的helical line,其中'r'是螺旋的半径,'c'是一个常数,决定了螺旋每圈之间的垂直间距,而't'是随时间变化的参数。理解helical lines的属性和应用在工程、物理和生物等各个领域都是至关重要的。例如,在工程中,helical lines用于螺丝和螺栓的设计,其中螺旋形状允许高效的紧固和负载分配。在物理学中,粒子在磁场中的运动通常可以用helical lines来描述,展示了这些概念在现实世界应用中的交集。此外,在生物领域,许多生物体展现出螺旋结构。例如,DNA具有双螺旋结构,由两条相互缠绕的helical lines组成。这种令人惊叹的构造不仅在美学上令人愉悦,而且在功能上也是必要的,使得遗传信息能够在细胞内紧凑存储。helical lines的重要性不仅限于学术兴趣;它们对我们理解自然界和我们开发的技术至关重要。通过研究helical lines,学生和研究人员可以深入了解对称、结构和功能的基本原理。总之,helical line(螺旋线)是一个迷人的几何概念,与多个学科交织在一起。它独特的属性和应用使其成为任何对数学、科学或工程感兴趣的人必修的主题。随着我们继续探索宇宙的复杂性,对helical lines的理解无疑将在推进我们的知识和技术能力方面发挥关键作用。

相关单词

helical

helical详解:怎么读、什么意思、用法