问题
选择题
已知在平面直角坐标系中,O(0,0),A(1,-2),B(1,1),C(2,-1),动点M(x,y)满足条件
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答案
设M(x,y)则
=(x,y),OM
=(1,-2),OA
=(1,1),OB
=(2,-1)OC
∵
,∴-2≤
•OM
≤2OA 1≤
•OM
≤2OB -2≤x-2y≤2 1≤x+y≤2
∵
•OM
=2x-y=(x-2y)+(x+y),-1≤OC
•OM
≤4OC
故选D.