polyhedron

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数据源: ai_enrichment
多面体是一个三维几何图形,由多个平面多边形面、边和顶点组成,如立方体或金字塔。

用法要点

句型搭配

polyhedron 通常作为可数名词使用,常与动词如 'construct'、'analyze' 或 'describe' 搭配,用于描述几何形状或数学概念。

• construct a polyhedron
• analyze the properties of a polyhedron
• describe a polyhedron in detail

介词用法

在描述多面体的特征时,常用介词 'with' 表示具有某种属性,'of' 表示组成部分,'in' 表示在某个维度或上下文中。

• a polyhedron with six faces
• the vertices of the polyhedron
• in three-dimensional space

语域说明

polyhedron 主要用于学术、数学或工程语境,属于正式术语,在日常对话中较少使用,除非讨论几何或设计话题。

• used in geometry textbooks
• applied in architectural design
• discussed in advanced mathematics

基础例句

In math class, we learned how to draw a polyhedron like a cube.

在数学课上,我们学习了如何画一个像立方体这样的多面体。

The kids built a polyhedron out of paper for their art project.

孩子们用纸做了一个多面体作为他们的艺术项目。

Can you name a common polyhedron found in everyday objects?

你能说出一个在日常物品中常见的多面体吗?

高级例句

The architect designed the building based on a complex polyhedron to optimize space usage.

建筑师基于一个复杂的多面体设计了这座建筑,以优化空间利用。

In computational geometry, algorithms are developed to efficiently model irregular polyhedra.

在计算几何中,开发了算法来高效地建模不规则多面体。

The research paper analyzes the symmetry groups of regular polyhedra in higher dimensions.

这篇研究论文分析了高维空间中正多面体的对称群。

高频搭配

verb

constructanalyzedescribevisualizecalculate

adjective

regularirregularconvexconcavesymmetrical

noun

faceedgevertexgeometryshape

adverb

accuratelymathematicallyvisuallytheoretically

preposition

withofinbyfrom

phrase

a set of polyhedrathe volume of a polyhedronpolyhedron in 3D space

常见错误

❌ 错误:This shape is a polyhedron because it has many sides.
✓ 正确:This shape is a polyhedron because it has multiple flat faces.

错误在于用 'sides' 描述多面体,这可能导致混淆;正确用法应强调 'flat faces',因为多面体由平面多边形面组成,而 'sides' 可能指边或其他部分。

❌ 错误:I saw a polyhedron in the park yesterday.
✓ 正确:I saw a polyhedral structure in the park yesterday.

错误在于直接使用 'polyhedron' 指代实物,这听起来不自然;正确用法是 'polyhedral structure' 或具体名称如 'cube',因为 'polyhedron' 是抽象几何术语,通常用于描述形状而非日常物体。

近义词辨析

polygon

polygon 是二维平面图形,由直线段组成,如三角形或正方形;而 polyhedron 是三维立体图形,由多个多边形面组成。

A square is a polygon, but a cube is a polyhedron made of six square faces.

solid

solid 泛指任何三维物体,包括多面体、球体或圆柱体,含义更广泛;polyhedron 特指由平面多边形面构成的三维图形,是 solid 的一种具体类型。

A sphere is a solid, but not a polyhedron because it has curved surfaces.