In the rectangular coordinate system above, for how many of the points that lie inside or on the boundary of the shaded region a

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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 coordinate integers?

选项 A、14
B、10
C、6
D、12
E、8

答案D

解析 这种题目当然只能够枚举:
共有(0,0),(1,0),(2,0),(3,0)
(0,1),(1,1),(2,1),(3,1)
(0,2),(1,2),(2,2),(3,2),刚好是12个点。
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