Word · Frequency #7165
polar
极线
核心释义
几何术语:从极点引向曲线的切线的切点连线。
the line joining the points of contact of tangents drawn from a point (the pole) to a curve
- 1.
连接从称为极点的点画出的切线与曲线相交的接触点的线。
The line joining the points of contact of tangents drawn to meet a curve from a point called the pole of the line.
连接从称为极点的点画出的切线与曲线相交的接触点的线。;极面
用法In use
To find the polar of a point outside a circle, draw the two tangents from that point and connect their points of contact.
用法提示:极线是切线切点连成的直线。
In the diagram, the polar of point P is the line through the two points where the tangents touch the ellipse.
用法提示:此处 polar 为名词,表示由极点引两条切线所得切点连成的直线。
Using a ruler, we constructed the polar by joining the two contact points of the tangents drawn from the pole.
用法提示:polar 作名词,在这里指连接切点的那条线。
the polar of a point with respect to a curve
极线的标准说法:of 后接极点,with respect to 后接所给曲线。
The polar of point P with respect to the circle is the chord joining the two points of contact of the tangents from P.
相关词与表达Connections
搭配Collocations
- polar of a point
- 一点的极线
- The polar of a point on a circle is the tangent at that point.圆上一点的极线就是该点处的切线。
- pole and polar
- 极点与极线
- The pole and polar are dual elements in projective geometry.极点与极线是射影几何中的对偶元素。
- polar with respect to a circle
- 关于圆的极线
- If a point lies outside a circle, its polar with respect to the circle is the chord of contact.若一点位于圆外,它关于圆的极线就是切点弦。
- polars of a conic
- 圆锥曲线的所有极线
- Each of the polars of a conic has a unique pole in the plane.圆锥曲线的每条极线在平面内都有唯一的极点。
学习提示Learner notes
记忆技巧Memory Tip
polar 是 pole(极点)的形容词;几何里从极点引两条切线,两切点的连线就是极线,记住“极点的线”。
语境与语域Context & Register
语域:formal 常见场景:数学、几何学 polar(极线)是几何学术语,通常出现在数学教材或专业文献中,多用于正式、学术性的语境;日常英语中较少用到。
发音与拼写Pronunciation & Spelling
真正押韵:solar、molar、roller 都以 /əulə/ 结尾,与 polar 同韵。拼写相似但读音不同:scholar 虽以 -olar 结尾,但读 /ˈskɒlə/,并不与 polar 押韵。
用法优先级Usage priority
Collins 词频等级为 1,建议结合例句记忆,而不是只背中文释义。
一起学习词形Learn the forms together
页面下方列出了常见词形变化。学习时注意它们在句子中的语法位置。
Dictionary facts from ECDICT, WIKTIONARY, WORDNET.