|x|+|y|≤1 求z=x-y+2的取值范围

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|x|+|y|≤1 求z=x-y+2的取值范围

|x|+|y|≤1 求z=x-y+2的取值范围
|x|+|y|≤1 求z=x-y+2的取值范围

|x|+|y|≤1 求z=x-y+2的取值范围
可行域|x|+|y|≤1表示正方形ABCD及其内部,其中A(1,0),B(0,1),C(-1,0),D(0,-1).
经过可行域的点的直线z=x-y+2即y=x+2-z平行于BC,DA,其截距2-z∈[-1,1],
∴1

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