1 . 已知函数
,
,(
).
(1)讨论函数
在
上零点的个数;
(2)若
有两个不同的零点
,
,求证:
.
(参考数据:
取
,
取
,
取
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb22c6dd586ff8621ebe8e4bb84855d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01d1b132ded1f61f20c80ef637ffb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765956687c5354da85dc6d13404fb3d6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960bd3224454815ce02e2b1e0520e3b7.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b59db1909a60117d7a8935bf587ae74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e24d42f61784c642e9eb1316afdd2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ee5940db3eca3be22205d12bae26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4d3ac67dac7a4c48fbfb053a735b88.png)
您最近一年使用:0次
2 . 为宣传平潭综合试验区的“国际旅游岛”建设,试验区某旅游部门开发了一种旅游纪念产品,每件产品的成本是12元,销售价是16元,月平均销售
件.后该旅游部门通过改进工艺,在保证产品成本不变的基础上,产品的质量和技术含金量提高,于是准备将产品的售价提高.经市场分析,如果产品的销售价提高的百分率为
,那么月平均销售量减少的百分率为
.记改进工艺后,旅游部门销售该纪念品的月平均利润是
(元).
(1)写出
与
的函数关系式;
(2)改进工艺后,确定该纪念品的售价,使该旅游部门销售该纪念品的月平均利润最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e4dfb68af91a58e45ca8596abc3d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)改进工艺后,确定该纪念品的售价,使该旅游部门销售该纪念品的月平均利润最大.
您最近一年使用:0次
名校
3 . 函数
.
(Ⅰ)讨论
的单调性;
(Ⅱ)若
且满足:对
,
,都有
,试比较
与
的大小,并证明.
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/82a01a4ab57b402792009c57c60589a3.png?resizew=164)
(Ⅰ)讨论
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/e753095625ff452a93fd6759c3d989bb.png?resizew=36)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/110d2a9ce68a44e49b732b73280597fa.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/72a60cdb8a52472c98891587afee92b0.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/243ede4294d54d9d936d700d979c0724.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/1318ec3a4ee541c4805b71443d8b9fb8.png?resizew=169)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/c6510d5c5b6644acad76ca5b3f32e042.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/e223ec1eec1a4a1d908dc1934ccd2649.png?resizew=29)
您最近一年使用:0次