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单词 line
释义

line

(in two dimensions) A line can be determined by two points on the line or by a single point with the direction of the line. In two dimensions the direction can be specified by the gradient. There are a number of related standard formats for lines in a plane.

Slope‐intercept form.

y = mx + c. The line has a gradient m and intercept at (0,c). For a vertical line the gradient is infinite and the equation is x = k (in this case there is no intercept on the y-axis).

Two‐point form.

The condition that the general point P(x,y) lies on the line through A(x1,y1) and B(x2,y2) is equivalent to requiring the gradient of AP = the gradient of inline

Point‐slope form.

A line with gradient m passing through the point A(x1,y1) has equation y−y1 = m(x−x1).

Two‐intercept form.

When the equation is written as inline the line cuts the axes at (a,0) and (0,b), making it very easy to draw the line.

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更新时间:2025/4/30 3:42:41