实数x,y满足不等式组x-y+2≥0,2x-y-5≤0,x+y-4≥0 则z=丨x+2y-4丨的最大值是
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实数x,y满足不等式组x-y+2≥0,2x-y-5≤0,x+y-4≥0 则z=丨x+2y-4丨的最大值是
![实数x,y满足不等式组x-y+2≥0,2x-y-5≤0,x+y-4≥0 则z=丨x+2y-4丨的最大值是](/uploads/image/z/9106170-42-0.jpg?t=%E5%AE%9E%E6%95%B0x%2Cy%E6%BB%A1%E8%B6%B3%E4%B8%8D%E7%AD%89%E5%BC%8F%E7%BB%84x-y%2B2%E2%89%A50%2C2x-y-5%E2%89%A40%2Cx%2By-4%E2%89%A50+%E5%88%99z%3D%E4%B8%A8x%2B2y-4%E4%B8%A8%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E6%98%AF)
2x-y-5≤0则 y-2x+5≥0 ①
因为 x-y+2≥0 ②
x+y-4≥0 ③
① + ② 得 -x +7 ≥0
③ *2 2x+2y-8≥0
上两式相加得 x+2y≥1
x+2y-4 ≥ -3
绝对值的最大值为无穷大.
因为 x-y+2≥0 ②
x+y-4≥0 ③
① + ② 得 -x +7 ≥0
③ *2 2x+2y-8≥0
上两式相加得 x+2y≥1
x+2y-4 ≥ -3
绝对值的最大值为无穷大.
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