V2EX coordinate plane

Coordinate Plane

定义 (Definition)

坐标平面:由两条互相垂直的数轴(通常为 x 轴与 y 轴)构成的平面,用来用有序数对 \((x, y)\) 表示点的位置。也常称为笛卡尔平面

发音 (Pronunciation, IPA)

/kordnt plen/

例句 (Examples)

Plot the point (2, 3) on the coordinate plane.
在坐标平面上标出点(2,3)。

On the coordinate plane, the graph of the function shows a line that crosses the y-axis at 4 and rises steadily as x increases.
在坐标平面上,这个函数的图像是一条直线,它在 y 轴上的截距为 4,并且随着 x 增大而稳定上升。

词源 (Etymology)

coordinate 源自拉丁语 *co-*(“共同、一起”)+ ordinare(“排列、安排”),引申为“按一定方式排列的”;在数学中指“用一组数来确定位置的”。plane 源自拉丁语 planus(“平坦的”),指“平面”。合起来 coordinate plane 就是“用坐标来定位的平面”。

相关词汇 (Related Words)

文学与作品用例 (Literary Works)

  • Edwin A. Abbott Flatland:常以“平面/空间维度”的概念作为叙事核心(虽不一定频繁直接写出 coordinate plane,但与“在平面中定位与理解空间”的思想密切相关)。
  • Lewis Carroll Alice’s Adventures in Wonderland(作者亦为数学家):作品常被用于数学文化讨论中,涉及逻辑与空间想象的表达;在相关数学读本与注释传统里会引到坐标与平面表示的概念。
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