(23 21:58:27)已知{ X≥14 X-Y+1≤0 2X-Y-2≤0 ,则X2+Y2的最小值是_____
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![(23 21:58:27)已知{ X≥14 X-Y+1≤0 2X-Y-2≤0 ,则X2+Y2的最小值是_____](/uploads/image/z/694552-40-2.jpg?t=%2823+21%3A58%3A27%29%E5%B7%B2%E7%9F%A5%EF%BD%9B%26%23160%3B+X%E2%89%A514%26%23160%3B+X-Y%2B1%E2%89%A40%26%23160%3B%26%23160%3B+2X-Y-2%E2%89%A40%26%23160%3B+%2C%E5%88%99X2%2BY2%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E6%98%AF_____%26%23160%3B%26%23160%3B)
(23 21:58:27)已知{ X≥14 X-Y+1≤0 2X-Y-2≤0 ,则X2+Y2的最小值是_____
(23 21:58:27)
已知{ X≥14 X-Y+1≤0 2X-Y-2≤0 ,则X2+Y2的最小值是_____
(23 21:58:27)已知{ X≥14 X-Y+1≤0 2X-Y-2≤0 ,则X2+Y2的最小值是_____
X-Y+1≤0 => Y≥X+1≥15
2X-Y-2≤0 => Y≥2X-2≥26
所以,Y≥26
X2+Y2最小值就是,X=14,Y=26时取得,代入算一下就得872
在坐标系中作图来解也可以,但上面的方法最简单.