名校
1 . 设函数
,其中,角
的顶点与坐标原点重合,始边与
轴非负半轴重合,终边经过点
,且
.
(Ⅰ)若
点的坐标为
,求
的值;
(Ⅱ)若点
为线性约束条件
所围成的平面区域上的一个动点,试确定角
的取值范围,并求函数
的最小值和最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8612b1b81ab39823a80deb91ac66e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab7d8965c8be23ecc05d99053abfa5c.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92d2bbeed206ab7e8f3e237e0a8708e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75932847e318d4171ec73e0c08d0dc0e.png)
(Ⅱ)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1268cf3401d1994064626e192cee39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75932847e318d4171ec73e0c08d0dc0e.png)
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解题方法
2 . 已知
满足约束条件![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15749a133eec2ebf6f2935f5c777d1ce.png)
(1)求
的取值范围
(2)若目标函数
取得最大值的最优解有无穷多个,求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15749a133eec2ebf6f2935f5c777d1ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec646b3c1959fe33c9e53d4bb9bd53db.png)
(2)若目标函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baaa79c2c101deb8595d3b296ad2b73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次