paraboloid

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英 { "us": "", "uk": "" }
数据源: ai_enrichment
抛物面是一种三维几何形状,由抛物线绕其轴旋转而成,常见于数学、物理和工程领域。

用法要点

句型搭配

常用于描述几何形状或物理结构,如“The shape is a paraboloid.”或“We calculated the volume of the paraboloid.”

• a hyperbolic paraboloid
• the equation of a paraboloid
• design a paraboloid reflector

介词用法

常与介词“of”连用表示所属关系,如“the surface of the paraboloid”,或“in”表示位置,如“in a paraboloid shape”。

• the focus of the paraboloid
• light reflected in a paraboloid
• points on the paraboloid

语域说明

主要用于学术、技术或专业语境,如数学、物理、工程和天文学,日常对话中较少使用。

• paraboloid antenna in telecommunications
• paraboloid mirror in telescopes
• paraboloid structure in architecture

基础例句

The satellite dish has a paraboloid shape to focus signals.

卫星天线采用抛物面形状以聚焦信号。

In math class, we learned how to draw a paraboloid on graph paper.

在数学课上,我们学习了如何在坐标纸上绘制抛物面。

The mirror in the telescope is a paraboloid to collect more light.

望远镜中的镜子是抛物面,以收集更多光线。

高级例句

Engineers optimized the paraboloid reflector for enhanced radar performance in aerospace applications.

工程师优化了抛物面反射器,以提升航空航天应用中的雷达性能。

The mathematical model assumes a perfect elliptic paraboloid to simplify fluid dynamics calculations.

该数学模型假设一个完美的椭圆抛物面,以简化流体动力学计算。

In architectural design, hyperbolic paraboloids are used to create lightweight and stable roof structures.

在建筑设计中,双曲抛物面被用于创建轻质且稳定的屋顶结构。

高频搭配

verb

calculatedescribeformrotateapproximate

adjective

elliptichyperboliccircularsymmetricconcave

noun

surfaceaxisfocusreflectorequation

adverb

approximatelysymmetricallygeometricallyaccurately

preposition

ofinonaroundwith

phrase

paraboloid of revolutionparaboloid reflectorparaboloid surface areashape like a paraboloid

常见错误

❌ 错误:The shape is a parabola.
✓ 正确:The shape is a paraboloid.

错误:'parabola' 指二维抛物线,而 'paraboloid' 是三维抛物面。在描述三维物体时,应使用 'paraboloid'。

❌ 错误:He studied the paraboloid in English class.
✓ 正确:He studied the paraboloid in math class.

错误:'paraboloid' 是数学和科学术语,通常不在英语课中学习。应关联到数学、物理或工程等学科。

近义词辨析

parabola

'parabola' 是二维曲线,而 'paraboloid' 是三维曲面,由抛物线旋转形成。

A parabola is a U-shaped curve, but a paraboloid is a bowl-like surface in 3D space.

ellipsoid

'ellipsoid' 是类似椭球的曲面,所有截面为椭圆;'paraboloid' 的截面为抛物线,形状更开放。

An ellipsoid has closed curves, whereas a paraboloid extends infinitely in one direction.