Word · Frequency #7165
polar
/ˈpəulə/
noun
极线
the line joining the points of contact of tangents drawn from a point (the pole) to a curve
几何术语：从极点引向曲线的切线的切点连线。
- 1.
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。
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
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.
In the diagram, the polar of point P is the line through the two points where the tangents touch the ellipse.
Using a ruler, we constructed the polar by joining the two contact points of the tangents drawn from the pole.
Connections
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。
Idioms & figurative uses
- polar opposite
- 截然相反的人或事物My brother is the polar opposite of me.
Learner notes
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”。
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。
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。
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。
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.