curvature

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数据源: ai_enrichment
曲率指曲线或曲面弯曲的程度,常用于数学、物理和工程领域描述几何形状的弯曲特性。

用法要点

句型搭配

常与动词如calculate、measure、describe等连用,表示计算、测量或描述曲率。在句子中多作宾语或主语补足语。

• calculate the curvature
• measure the curvature of a surface
• describe the curvature in detail

介词用法

常用介词of表示所属关系,如curvature of a curve(曲线的曲率);也可用in表示在某个方面,如curvature in geometry(几何中的曲率)。

• curvature of the Earth
• curvature in the road
• curvature of spacetime

语域说明

curvature是正式术语,主要用于学术、科技和工程语境,日常对话中较少使用,更常见于专业讨论或书面材料。

• used in physics textbooks
• appears in engineering reports
• discussed in mathematical contexts

基础例句

The curvature of this road makes it dangerous to drive fast.

这条路的弯曲程度使得快速驾驶很危险。

You can see the curvature of the Earth from a high altitude.

从高空可以看到地球的曲率。

The curvature of the bridge adds to its aesthetic appeal.

桥梁的弯曲增加了它的美学吸引力。

He measured the curvature of the lens to ensure it was correct.

他测量了镜片的曲率以确保其正确。

高级例句

In general relativity, the curvature of spacetime is influenced by mass and energy.

在广义相对论中,时空的曲率受质量和能量影响。

Engineers calculated the curvature of the beam to optimize structural integrity.

工程师计算了梁的曲率以优化结构完整性。

The research paper discusses the curvature effects in optical fiber design.

这篇研究论文讨论了光纤设计中的曲率效应。

Financial models sometimes incorporate curvature to predict market volatility.

金融模型有时会纳入曲率来预测市场波动性。

高频搭配

verb

calculate curvaturemeasure curvaturedescribe curvatureanalyze curvaturedetermine curvature

adjective

positive curvaturenegative curvatureconstant curvaturehigh curvaturelow curvature

noun

curvature of a curvecurvature of spacetimecurvature radiuscurvature tensorcurvature effect

adverb

highly curvedslightly curvednegatively curvedpositively curved

preposition

curvature ofcurvature incurvature alongcurvature due to

phrase

radius of curvatureGaussian curvaturemean curvaturecurvature of the Earthcurvature correction

常见错误

❌ 错误:The curve has a big curvature.
✓ 正确:The curve has a high curvature.

curvature描述弯曲程度,通常用high或low修饰,而不是big或small,以避免不准确的表达。

❌ 错误:I can feel the curvature on the surface.
✓ 正确:I can feel the curvature of the surface.

curvature常与介词of连用表示所属关系,而不是on,以正确表达表面曲率的属性。

近义词辨析

bend

bend更通用,指具体的弯曲动作或形状,常用于日常语境;curvature更专业,强调弯曲的数学或物理度量。

The road has a sharp bend (日常描述) vs. The road's curvature is measured at 5 degrees per meter (专业度量)。

arc

arc指圆弧或弧形,强调曲线的一部分;curvature指整个曲线或曲面的弯曲程度,更抽象和量化。

The bridge forms a graceful arc (形状描述) vs. The bridge's curvature affects its load-bearing capacity (曲率影响)。