2018 AMC 12B 第 3 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
3.
一条斜率为 的直线与一条斜率为 的直线在点 相交。这两条直线的 -截距之间的距离是多少？
A line with slope intersects a line with slope at the point What is the distance between the -intercepts of these two lines?
小提示：
用点斜式写出两条经过 的直线。
Write each line in point-slope form through
大提示：
在每个方程中令 ，求出 -截距。
Set in each equation to find its -intercept
解答：
斜率为 的直线为 ；令 ，得 。斜率为 的直线为 ；令 ，得 。
两个截距之间的距离为 。
所以正确答案是 B。
The line of slope is setting gives The line of slope is setting gives
The distance between the intercepts is
Thus, the correct answer is B.
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