2023 AMC 8 第 7 题
先试着解答 2023 AMC 8 第 7 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2023 AMC 8 解答,或核对答案。
所有题目均经美国数学协会(MAA)官方合法授权使用。
7.
一个边平行于 轴和 轴的矩形,其一对相对顶点为 和 。一条直线经过点 和 。另一条直线经过点 和 。矩形上有多少个点至少在这两条直线之一上?
A rectangle, with sides parallel to the -axis and -axis, has opposite vertices located at and A line is drawn through points and Another line is drawn through points and How many points on the rectangle lie on at least one of the two lines?
小提示:
写出两条直线的方程
Find the equations of the two lines
大提示:
矩形满足 且
The rectangle has and
视频讲解:
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文字解答:
画出这两条直线。
从图中可见,只有矩形左上角落在其中一条直线上。
所以正确答案是 B。
We can graph the two lines.
From this, we see that only the top left corner of the rectangle intersects either line.
Thus, B is the correct answer.
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