V2EX quadrant i

Quadrant I

Definition / 定义

Quadrant I(第一象限):在二维直角坐标平面中,x 轴与 y 轴把平面分成四个象限,其中第一象限指 x > 0 且 y > 0 的区域。
(“quadrant”也可泛指“四分之一部分/四等分区域”,如圆的四分之一。)

Pronunciation / 发音

/kwdrnt a/ (亦常见 /kwdrnt a/)

Examples / 例句

The point (3, 4) lies in Quadrant I.
点 (3, 4) 位于第一象限。

When both variables are positive, the graph remains in Quadrant I, which helps determine the sign of the expression.
当两个变量都为正时,图像会保持在第一象限,这有助于判断表达式的符号。

Etymology / 词源

quadrant 源自拉丁语 quadrans,意为“四分之一”(来自 quattuor“四”相关词根),最初指把圆或区域分成四等份的其中一份;后来在数学中用来指坐标平面的“四个象限”之一,因此有 Quadrant I/II/III/IV 的编号说法。

Related Words / 相关词

Literary Works / 文学作品

  • Calculus: Early Transcendentals(James Stewart)中在函数图像与坐标平面章节常用到“Quadrant I”。
  • Linear Algebra and Its Applications(David C. Lay)及相关解析几何内容中会用“Quadrant I”描述点与向量所在区域。
  • Precalculus(Michael Sullivan 等)等预备微积分教材在三角函数与单位圆、坐标象限的讲解中频繁出现“Quadrant I”。
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