AMC 8 2023 Problem 7

AMC8 2023 年第 7

坐标几何★★☆☆☆
A rectangle, with sides parallel to the x-axis and y-axis, has opposite vertices at (15, 3) and (16, 5). A line is drawn through A(0,0) and B(3,1). Another line is drawn through C(0,10) and D(2,9). How many points on the rectangle lie on at least one of the two lines?
有一个矩形,它的边平行于 x 轴和 y轴,两个相对的顶点分别是(15,3)与(16,5)。过点 A(0,0) 与 B(3,1) 作一条直线,再过点 C(0,10) 与 D(2,9) 作另一条直线。问矩形的边界上有多少个点落在两条直线中至少一条上?
AMC 8 2023 Problem 7 figure
  1. A.0
  2. B.1
  3. C.2
  4. D.3
  5. E.4

正确答案 · Correct Answer

B

解析 · Solution

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