已知函数
,其中
为常数,且
.
(I) 当
时,求
在
(![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872f7b170d31d1d464aba4f99e370721.png)
)上的值域;
(II) 若
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a136afa15ea25aba12111fd15f6340f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ffcc01616043a2077c48a3dec321b0.png)
(I) 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3b094f5a095b4f66f96223ac1b582f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872f7b170d31d1d464aba4f99e370721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d952bd36c8136894d06ec32d2856725.png)
(II) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afef0d8dc7372c91d4c87c7b4a72546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6957c74475ce7b08482971e37c242a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
2010·北京海淀·一模 查看更多[3]
更新时间:2016-11-30 03:37:27
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相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】已知函数
.
(1)当
时,求函数
在
上的最大值和最小值;
(2)若
,试讨论函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c33110b461af009082b9a5c334777f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c88b18fa2eb37ca380e35b4245b896cc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
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适中
(0.65)
名校
解题方法
【推荐2】为2020年全国实现全面脱贫,湖南贫困县保靖加大了特色农业建设,其中茶叶产业是重要组成部分,由于当地的地质环境非常适宜种植茶树,保靖的“黄金茶”享有“一两黄金一两茶”的美誉.保靖县某茶场的黄金茶场市开发机构为了进一步开拓市场,对黄金茶交易市场某个品种的黄金茶日销售情况进行调研,得到这种黄金茶的定价
(单位:百元/
)和销售率
(销售率是销售量与供应量的比值)的统计数据如下:
(1)设
,根据所给参考数据判断,回归模型
与
哪个更合适?并根据你的判断结果求回归方程(
,
的结果保留一位小数);
(2)某茶场的黄金茶生产销售公司每天向茶叶交易市场提供该品种的黄金茶
,根据(1)中的回归方程,估计定价
(单位:百元/
)为多少时,这家公司该品种的黄金茶的日销售额
最大,并求
的最大值.
参考数据:
与
的相关系数
,
与
的相关系数
,
,
,
,
,
,
,
,
,
,
,
.
参考公式:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f7c4a8558eff6427d22b6c0c855721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![]() | 10 | 20 | 30 | 40 | 50 | 60 |
![]() | 0.9 | 0.65 | 0.45 | 0.3 | 0.2 | 0.175 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597ff502ac689aea0659752cdfbf48bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929ef3bed0a4bdd22f39e036506dc481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfd9dea97f1b874549e133a1a0b15d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16a862478985191ece5a20bbe552bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c6cf002710b9137f3a88500949f22c.png)
(2)某茶场的黄金茶生产销售公司每天向茶叶交易市场提供该品种的黄金茶
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c9458cc0453ec2d9215e9549bff9ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f7c4a8558eff6427d22b6c0c855721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
参考数据:
![](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/51153e4f51577ad68d638aa9c278846d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abc5b561cd011abe7e592a4cc8e3b3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54eed940d0b8e9d9e7aeb0928555d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91323d316b4a96c918d2cefead67a035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e964a57cb58696c2bd3b6cd7280ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d80b0d0dc228eae90f911922ff940c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ea277755fa75cb229566ae9f8f23b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a342230402dadf4bbdc4f0f791cf11c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07d588cc7e8c7722b2764ae654b826c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb46ac70cac8f6cd6c9c8778d02062d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc6945b974305d3b5d8cd838285363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b383f55c94c9f34e12d0ad80da27d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2fc46323e0827bb81fcf36698e4962.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4929f38f8fc9d54ca53b904e39291b07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ebff20f21ae41fd8d1f1e3145895842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81c445866a0e0842775fcf74a870cfd.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐3】已知函数
.
(1)若函数
在
处有极值
,求
的值;
(2)在(1)的条件下,求
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514e4b6e6484a0e9740846a7af69a61a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)在(1)的条件下,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】已知函数
(a∈R).
(1)若a=1,函数
恰有3个零点,求实数b的取值范围;
(2)若对任意
,有
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2893c8171f274f5a8a8b8db256aa20.png)
(1)若a=1,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d344f1f34ccddbf69d7fdd7180e21383.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a173a1aa3c129af32230d1b762d659ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
您最近一年使用:0次
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(0.65)
【推荐2】已知函数
,
.
(1)讨论
的单调性;
(2)若不等式
对
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34219f73f89bc9a82ee2e16c4e9ecde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97d3fda19081d55ddd213a5cd08f5af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58a2ddbd7fddf0e67957a6ee60b391e.png)
您最近一年使用:0次
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名校
【推荐3】已知函数
.
(1)若
,求曲线
在
处的切线方程;
(2)若
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6bf4b70841cfe70f038a4119f6645d7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14db580ca7a37d9a420322c126f1380.png)
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