设集合A={(X,Y)}|Y≥|X-2|,X≥0}B={(x,y)|y≤-x+b},若A交于B不等于空集,求B取值范围
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设集合A={(X,Y)}|Y≥|X-2|,X≥0}B={(x,y)|y≤-x+b},若A交于B不等于空集,求B取值范围
设集合A={(X,Y)}|Y≥|X-2|,X≥0}B={(x,y)|y≤-x+b},若A交于B不等于空集,求B取值范围
设集合A={(X,Y)}|Y≥|X-2|,X≥0}B={(x,y)|y≤-x+b},若A交于B不等于空集,求B取值范围
A={(X,Y)}|Y≥|X-2|,X≥0}
-y≤x-2≤y
2-y≤x≤y+2
B={(x,y)|y≤-x+b},
y≤-x+b
x≤-y+b
要使A交于B不等于空集,则2-y≤x≤y+2,x≤-y+b有解
则2-y≤x≤-y+b有解
所以2-y≤-y+b
b≥2
)}|Y≥|X
B>=2
数形结合易得