(|x+1|+|x-2|) ×(|y-2|+|y+1|)× (|z-3|+|z+1|)=36,求x+2y+3z的最大值和最小值.写出思考过程.
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(|x+1|+|x-2|) ×(|y-2|+|y+1|)× (|z-3|+|z+1|)=36,求x+2y+3z的最大值和最小值.写出思考过程.
(|x+1|+|x-2|) ×(|y-2|+|y+1|)× (|z-3|+|z+1|)=36,求x+2y+3z的最大值和最小值.
写出思考过程.
(|x+1|+|x-2|) ×(|y-2|+|y+1|)× (|z-3|+|z+1|)=36,求x+2y+3z的最大值和最小值.写出思考过程.
|x+1|+|x-2|≥3
|y-2|+|y+1|≥3
|z-3|+|z+1|≥4
(|x+1|+|x-2|) ×(|y-2|+|y+1|)× (|z-3|+|z+1|)=36
所以x∈〔-1,2〕,y∈〔-1,2〕,z∈〔-1,3〕
所以x=y=z=-1时,x+2y+3z的最小值为-6
当x=2,y=2,z=3时,x+2y+3z的最大值为15
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