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[img]ct_gre5image082[/img]In the rectangular coordinate system above, for how m
[img]ct_gre5image082[/img]In the rectangular coordinate system above, for how m
游客
2024-01-12
39
管理
问题
In the rectangular coordinate system above, for how many of the points that lie inside or on the boundary of the shaded region are both coordinates integers?
选项
A、6
B、7
C、8
D、9
E、10
答案
E
解析
上图所示的直角坐标系中,位于阴影区内或边界上的点坐标是整数的点有多少个?
解:本题的正确答案为(E)。由图可知,阴影区由y=x,y=0,x=3这三条直线围成,其边界为这三条直线。因此阴影区内点的坐标范围为0≤x≤3,0≤y≤3,y≤x。当x和y只能取整数时,所求的点为:(0,0),(0,1),(0,2),(0,3),(1,1),(1,2),(1,3),(2,2),(2,3),(3,3)共计十点。
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