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1 . 某厂商计划投资生产甲、乙两种商品,经市场调研发现,如图所示,甲、乙商品的投资x与利润y(单位:万元)分别满足函数关系
与
.
![](https://img.xkw.com/dksih/QBM/2022/4/26/2966307189194752/2967065783803904/STEM/d6e38f5c-43cf-442d-818f-92e17eab217d.png?resizew=344)
(1)求
,
与
,
的值;
(2)该厂商现筹集到资金20万元,如何分配生产甲、乙商品的投资,可使总利润最大?并求出总利润的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663378b12ffa143afa4d2c47928fa5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcb3ff5482d02c722c4e22bed41b9509.png)
![](https://img.xkw.com/dksih/QBM/2022/4/26/2966307189194752/2967065783803904/STEM/d6e38f5c-43cf-442d-818f-92e17eab217d.png?resizew=344)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
(2)该厂商现筹集到资金20万元,如何分配生产甲、乙商品的投资,可使总利润最大?并求出总利润的最大值.
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2 . 已知幂函数
在其定义域上是严格增函数,且
(
).
(1)求m的值;
(2)解不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d21fafbfc70dae8f801baaa3c647dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d4999a846dafaf3fe0ef8708633b45.png)
(1)求m的值;
(2)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c9e31ddbcd3de7968af8aec0822b910.png)
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