AMC 8 2024 Problem 23

AMC8 2024 年第 23

坐标几何★★★★★
Rodrigo has a very large piece of graph paper. First he draws a line segment connecting point (O, 4) to point (2, 0) and colors the 4 cells whose interiors intersect the segment, as shown below. Next Rodrigo draws a line segment connecting point (2000, 3000) to point (5000, 8000). Again he colors the cells whose interiors intersect the segment. How many cells will he color this time?
Rodrigo有一张非常大的方格纸。他先画了一条线段连接点(O,4)和点(2,0),然后为内部与该线段相交的4个方格上色,如图所示。紧接着Rodrigo又画了一条线段连接点(2000,3000)和点(5000,8000),并为内部与该线段相交的方格上色。 请问这次Rodrigo要给多少个方格上色?
AMC 8 2024 Problem 23 figure
  1. A.6000
  2. B.6500
  3. C.7000
  4. D.7500
  5. E.8000

正确答案 · Correct Answer

C

解析 · Solution

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