名校
1 . 某创业投资公司拟投资开发某种新能源产品,估计能获得
万元
万元的投资收益,现准备制定一个对科研课题组的奖励方案:奖金
(单位:万元)随投资收益
(单位:万元)的增加而增加,奖金不超过
万元,同时奖金不超过投资收益的
.(即:设奖励方案函数模型为
时,则公司对函数模型的基本要求是:当
时,①
是增函数;②
恒成立;③
恒成立.)
(1)判断函数
是否符合公司奖励方案函数模型的要求,并说明理由;
(2)已知函数
符合公司奖励方案函数模型要求,求实数
的取值范围.
【参考结论:函数
的增区间为
、
,减区间为
、
】
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06fc7811f9525e8b8c833746d6af5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d741f6e9924cb5731eaabf03a056da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86608326541db75771f5de9db6187e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23466fd31d0666cb9f65dced41188359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed68d4a575abd215b6c13bd673b75c90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f64818da0022bd5cf3a1b24d4fc620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3efbd4d33b5a125c0208fe10c5dbad7f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af7b19e528dc51905e4f6fdc3ab35ec8.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d09f1f06d80f6a423359f65172c391a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
【参考结论:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5fa97c9216c6e8f4881832870d4723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c393956b9905e36e4d89f10c1b6532ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca814c56ba2522dcdd73dffcd86580f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0e490ff8843f8b8397bd4dd8de83f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e9cd35fe62ed0aaa4a8b5c67d7dd7b.png)
您最近一年使用:0次
2019-11-15更新
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553次组卷
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2卷引用:福建省厦门市外国语学校2019-2020学年高一上学期期中数学试题