题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204302-35688.png)
(1)设z=
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204302-37199.png)
(2)设z=x2+y2,求z的取值范围.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204302-76897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204302-91643.png)
解析
试题分析: 由题意画出可行域,分别求出可行域各顶点
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204302-59006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204303-60045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204303-60489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204303-75465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204303-68455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-95373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-40704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-39881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204303-60045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-95373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-44251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-72014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-95373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204305-24497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204306-59024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204306-20893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204306-54038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-95373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204306-16603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204307-93444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204307-43420.png)
试题解析:由约束条件
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204307-81265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204307-34256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204308-78261.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204308-15328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204308-94026.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204309-64051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204309-48694.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204309-45610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204310-34032.png)
(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204310-61116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-95373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204310-71299.png)
观察图形可知
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204310-61232.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-44251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204310-71299.png)
结合图形可知,可行域上的点到原点的距离中,
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204311-38013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204311-62942.png)
所以所求
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204304-95373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204302-91643.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204222-57931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204222-14458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204223-88136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204223-71021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204208-36502.png)
A.-3 | B.-6 | C.3 | D.6 |
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204152-62860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204152-13372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204152-31456.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204127-77285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204127-84070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204127-41510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204128-32042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204128-46146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204127-41510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204108-56027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204108-91290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204109-67023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016204109-20439.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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