prismoid
简明释义
n. 平截头棱锥体;棱柱体
英英释义
A prismoid is a three-dimensional geometric shape that has two parallel bases and a uniform cross-section throughout its height. | 棱柱体是一种三维几何形状,具有两个平行的底面,并且在整个高度上具有均匀的横截面。 |
单词用法
棱柱体体积 | |
棱柱体形状 | |
计算棱柱体 | |
棱柱体公式 | |
棱柱体的横截面 |
同义词
棱柱 | 棱柱将光线折射成一系列颜色。 | ||
多面体 | A polyhedron can have various shapes depending on the number of faces. | 多面体的形状可以根据面数的不同而变化。 | |
立体 | 在几何学中,立体是一个三维图形。 |
反义词
圆柱体 | 圆柱体在高度上具有均匀的横截面。 | ||
球体 | The sphere is the most efficient shape for enclosing volume. | 球体是包围体积最有效的形状。 |
例句
1.The embedded method and principle for fiberoptic sensors was discussed, and the experimental study of concrete prismoid member, which was embedded fiberoptic sensors, was given.
同时对埋入光纤传感器的混凝土棱柱构件作了实验研究。
2.The embedded method and principle for fiberoptic sensors was discussed, and the experimental study of concrete prismoid member, which was embedded fiberoptic sensors, was given.
同时对埋入光纤传感器的混凝土棱柱构件作了实验研究。
3.The engineer used a prismoid model to demonstrate the structural integrity of the bridge.
工程师使用棱柱体模型来展示桥梁的结构完整性。
4.The prismoid shape of the sculpture added depth to the visual experience.
雕塑的棱柱体形状为视觉体验增添了深度。
5.Calculating the surface area of a prismoid requires knowledge of its bases and height.
计算一个棱柱体的表面积需要了解其底面和高度。
6.In architecture, the design of a building may include prismoid shapes for aesthetic appeal.
在建筑设计中,建筑物的设计可能包含棱柱体形状以增加美感。
7.The volume of a prismoid can be calculated using specific geometric formulas.
一个棱柱体的体积可以通过特定的几何公式计算。
作文
In the realm of geometry, various shapes and figures play a crucial role in understanding the world around us. One such shape that often intrigues students and mathematicians alike is the prismoid. A prismoid is defined as a three-dimensional figure that has two parallel faces, which are polygons, and other faces that are parallelograms. This unique structure allows for a variety of applications in both theoretical mathematics and practical engineering. To fully appreciate the significance of a prismoid, it is essential to explore its properties and how it differs from other geometric forms. Unlike a prism, which has two identical bases, a prismoid can have bases that are not necessarily congruent. This characteristic makes it a versatile shape that can adapt to different situations and requirements. For example, when designing buildings or bridges, architects often utilize the principles of prismoids to create stable and aesthetically pleasing structures. The volume of a prismoid can be calculated using a specific formula that takes into account the areas of the two parallel faces and the height of the figure. This formula is particularly useful in various fields, including construction, where accurate measurements are critical. By understanding how to calculate the volume of a prismoid, engineers can ensure that their designs are both functional and safe. In educational settings, teaching students about prismoids can enhance their spatial reasoning skills. When students learn to visualize and manipulate these shapes, they gain a deeper understanding of three-dimensional space. This skill is invaluable not only in mathematics but also in everyday life, as it helps individuals navigate their environments more effectively. Moreover, the study of prismoids can lead to discussions about symmetry and balance in nature. Many natural forms exhibit properties similar to those of a prismoid, such as certain types of crystals and biological structures. By examining these examples, students can connect their mathematical knowledge with real-world phenomena, fostering a greater appreciation for both math and science. In conclusion, the prismoid is a fascinating geometric figure that offers numerous opportunities for exploration and application. Its unique properties make it an essential topic in the study of geometry, providing insights that extend beyond the classroom. Whether in architecture, engineering, or nature, the principles of prismoids are prevalent, highlighting the interconnectedness of mathematics and the physical world. As we continue to explore and understand these shapes, we unlock new possibilities for innovation and creativity in various fields.
在几何学的领域,各种形状和图形在理解我们周围的世界中发挥着至关重要的作用。一个常常引起学生和数学家兴趣的形状是prismoid。Prismoid被定义为一种三维图形,具有两个平行面,这些面是多边形,而其他面则是平行四边形。这种独特的结构使其在理论数学和实际工程中都有多种应用。要充分理解prismoid的重要性,有必要探讨它的性质以及它与其他几何形状的区别。与具有两个相同底面的棱柱不同,prismoid的底面不一定是全等的。这一特征使其成为一种多功能形状,可以适应不同的情况和需求。例如,在设计建筑物或桥梁时,建筑师通常利用prismoids的原理来创建稳定且美观的结构。Prismoid的体积可以使用特定的公式计算,该公式考虑了两个平行面的面积和图形的高度。这个公式在多个领域中非常有用,包括建筑,因为准确的测量至关重要。通过了解如何计算prismoid的体积,工程师可以确保他们的设计既实用又安全。在教育环境中,教学生关于prismoids的知识可以增强他们的空间推理能力。当学生学习可视化和操纵这些形状时,他们能够更深入地理解三维空间。这项技能不仅在数学中是无价的,而且在日常生活中也有助于个人更有效地导航其环境。此外,研究prismoids可以引发关于自然界中对称和平衡的讨论。许多自然形式表现出与prismoid类似的性质,例如某些类型的晶体和生物结构。通过检查这些例子,学生可以将他们的数学知识与现实世界现象联系起来,从而培养对数学和科学的更大欣赏。总之,prismoid是一个迷人的几何图形,提供了探索和应用的众多机会。它独特的属性使其成为几何学研究中的一个重要主题,提供了超越课堂的见解。无论是在建筑、工程还是自然界中,prismoids的原理普遍存在,突显了数学与物理世界之间的相互联系。随着我们继续探索和理解这些形状,我们为各个领域的创新和创造力开启了新的可能性。