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(2010·金华十校)△ABO三顶点坐标为A(1,0),B(0,2),O(0,0...

(2010·金华十校)△ABO三顶点坐标为A(1,0),B(0,2),O(0,0),P(xy)是坐标平面内一点,满足6ec8aac122bd4f6e·6ec8aac122bd4f6e≤0,6ec8aac122bd4f6e·6ec8aac122bd4f6e≥0,则6ec8aac122bd4f6e·6ec8aac122bd4f6e的最小值为________.

 

 

3 【解析】 ∵·=(x-1,y)·(1,0)=x-1≤0,∴x≤1,∴-x≥-1, ∵·=(x,y-2)·(0,2)=2(y-2)≥0, ∴y≥2. ∴·=(x,y)·(-1,2)=2y-x≥3.
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