Question

一个边平行于 $x$ 轴和 $y$ 轴的矩形，其一对相对顶点为 $(15, 3)$ 和 $(16, 5)$ 。一条直线经过点 $A(0, 0)$ 和 $B(3, 1)$ 。另一条直线经过点 $C(0, 10)$ 和 $D(2, 9)$ 。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 $x$ -axis and $y$ -axis, has opposite vertices located at $(15, 3)$ and $(16, 5).$ A line is drawn through points $A(0, 0)$ and $B(3, 1).$ Another line is drawn through points $C(0, 10)$ and $D(2, 9).$ How many points on the rectangle lie on at least one of the two lines?

$0$

$1$

$2$

$3$

$4$

答案：B

知识点：坐标几何一次方程

难度评级：1070

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.

2023 AMC 8 第 7 题

答案：B

难度评级：1070

视频讲解：

文字解答：

其他年份的第 7 题