[{"data":1,"prerenderedAt":124},["ShallowReactive",2],{"word-paraboloid":3},{"source":4,"data":5,"quality_score":122,"lastmod":123},"static_word_details",{"lemma":6,"phonetic":7,"pos":9,"definition_zh":11,"usage_points":12,"collocations":34,"examples_basic":81,"examples_advanced":91,"common_mistakes":101,"synonyms_nuance":110,"diff_pairs":119,"word_family":121},"paraboloid",{"us":8,"uk":8},"pә'ræbәlɒid",[10],"名词","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。",[13,20,27],{"title":14,"content":15,"examples":16},"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.”",[17,18,19],"a hyperbolic paraboloid","the equation of a paraboloid","design a paraboloid reflector",{"title":21,"content":22,"examples":23},"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”。",[24,25,26],"the focus of the paraboloid","light reflected in a paraboloid","points on the paraboloid",{"title":28,"content":29,"examples":30},"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。",[31,32,33],"paraboloid antenna in telecommunications","paraboloid mirror in telescopes","paraboloid structure in architecture",[35,43,51,59,66,74],{"type":36,"items":37},"verb",[38,39,40,41,42],"calculate","describe","form","rotate","approximate",{"type":44,"items":45},"adjective",[46,47,48,49,50],"elliptic","hyperbolic","circular","symmetric","concave",{"type":52,"items":53},"noun",[54,55,56,57,58],"surface","axis","focus","reflector","equation",{"type":60,"items":61},"adverb",[62,63,64,65],"approximately","symmetrically","geometrically","accurately",{"type":67,"items":68},"preposition",[69,70,71,72,73],"of","in","on","around","with",{"type":75,"items":76},"phrase",[77,78,79,80],"paraboloid of revolution","paraboloid reflector","paraboloid surface area","shape like a paraboloid",[82,85,88],{"en":83,"zh":84},"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。",{"en":86,"zh":87},"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。",{"en":89,"zh":90},"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。",[92,95,98],{"en":93,"zh":94},"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。",{"en":96,"zh":97},"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。",{"en":99,"zh":100},"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。",[102,106],{"wrong":103,"right":104,"explanation":105},"The shape is a parabola.","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'。",{"wrong":107,"right":108,"explanation":109},"He studied the paraboloid in English class.","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。",[111,115],{"word":112,"difference":113,"example":114},"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.",{"word":116,"difference":117,"example":118},"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.",[112,120,116],"hyperboloid",[],70,"2026-01-09T03:34:10.358Z",1784307041993]