V2EX quadrant iv

Quadrant IV

释义 Definition

第四象限:在直角坐标系中,位于x 轴右侧、y 轴下方的区域,通常满足 x > 0 且 y < 0。(在数学、物理与工程图示中常用;在其他语境中“quadrant”也可指“四分之一圆/罗盘象限”等含义。)

发音 Pronunciation (IPA)

/kwdrnt fr/(常见美式)
/kwdrnt f/(常见英式)

例句 Examples

The point (3, -2) is in Quadrant IV.
点 (3, -2) 在第四象限。

In Quadrant IV, the x-coordinate is positive while the y-coordinate is negative, which affects the sign of trig functions like sine and cosine.
在第四象限中,x 坐标为正而 y 坐标为负,这会影响正弦、余弦等三角函数的正负号。

词源 Etymology

quadrant 来自拉丁语 quadrans,意为“四分之一(one quarter)”,与 *quad-*(“四”)同源;IV 是罗马数字,表示“4”。因此 Quadrant IV 字面意思是“第四个四分之一”,在坐标平面中指第四象限。

相关词 Related Words

文学与经典作品 Literary Mentions

  • James Stewart,《Calculus》(《微积分》):在讲解平面解析几何、函数图像与三角函数符号规则时常使用“Quadrant IV”等表述。
  • George B. Thomas 等,《Thomas’ Calculus》(《托马斯微积分》):在坐标平面、角度与三角函数的章节中频繁出现象限(Quadrant IIV)的用法。
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