名校
1 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282bd8132e2d40176dec2cc77010856b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a70249d92e3829c66ac7d48bea115fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282bd8132e2d40176dec2cc77010856b.png)
您最近一年使用:0次
2019-10-03更新
|
238次组卷
|
2卷引用:上海市川沙中学2017-2018学年高一上学期期中考试数学试题
2 . 已知二次函数
满足
,且
.
(1)求
的解析式;
(2)若关于
的方程
至少有一个正根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa098705a295d7b72e512e1c744f61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386db31213b5988c1948f87c7f96f7b9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1ca7152ca4e1ae59326aa88c401307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
3 . 函数
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7704b837d77200427a0913e90c145799.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e52daa8ae06abd911d8ef15b88235c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/806b2c4834aebf1f76deaa304d3f7775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7704b837d77200427a0913e90c145799.png)
您最近一年使用:0次
名校
4 . 把指数函数
图像向下平移
个单位得到函数
的图像,函数
满足
若函数
在
上是减函数,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2b994842a1ee3a28ae3dee273501fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b3493053a5887a21b4d17cbc77400c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21ce55464a7863eb8a3edc099d79974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ff4a1f5d3ad9d7668fe555e70b774c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
5 . 对于函数
和
,若存在区间
,使
在区间
上恒成立,则称区间
是函数
和
的“公共邻域”.设函数
的反函数为
,函数
的图像与函数
的图像关于点
对称.
(1)求函数
和
的解析式;
(2)若
,求函数
的定义域;
(3)是否存在实数
,使得区间
是
和
的“公共邻域”,若存在,求出
的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0597404b9110a0e25b644c9e51aabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc39d94da44da0d136c1a13092617d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1f08e04cf0b6a9afea66ce590ba00b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918773bcca55ea4c43a2b49d40474050.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce15891bc27beb5715dcddfd14d8efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a660d36601e8d34a67eee5420217c053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da39875a6ceb4fc668375b31f6d896e0.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e4f6daee5515c1dadf854d437bca48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da39875a6ceb4fc668375b31f6d896e0.png)
您最近一年使用:0次
名校
7 . 设
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842b5d6cc4698b5f084cc6336d34df68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588f9cb3a93182416368a06b80e9ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8172097d72cb8a1e154e5050f86c14a3.png)
您最近一年使用:0次
8 . 已知函数
,则f(x)•g(x)=______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a529a17d60fef25549c78eb54e0f08.png)
您最近一年使用:0次
2019-01-12更新
|
190次组卷
|
2卷引用:【校级联考】上海外国语大学闵行外国语、莘庄高中联考2018-2019学年高一(上)期中数学试题
名校
9 . 某公司有价值10万元的一条流水线,要提高该流水线的生产能力,就要对其进行技术改造,改造就需要投入,相应就要提高产品附加值,假设附加值
万元与技术改造投入
万元之间的关系满足:①
与
和
的乘积成正比;② 当
时,
;③
,其中
为常数,且
.
(1)设
,求出
的表达式,并求出
的定义域;
(2)求出附加值
的最大值,并求出此时的技术改造投入的
的值.
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d20b167d3a3e7dcda2d635e156edf81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd63ebbdb834dd3028f1bdb3cb948d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467119ab86265bf8f3d83f16e3a012f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6555c4166361c548b6f4f692d9a66cb.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)求出附加值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2018-12-05更新
|
448次组卷
|
4卷引用:【市级联考】上海市七宝中学2018-2019学年高一上学期数学期中考试
10 . 已知函数
,
,
,则
.
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572436166434816/1572436172087296/STEM/21fcff508f50467ab2f21f341ba36b47.png?resizew=72)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572436166434816/1572436172087296/STEM/b4b0cfc8051c4138820135225c93b467.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572436166434816/1572436172087296/STEM/b5e91a6af7cd4a199584ec7c980ef244.png?resizew=81)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572436166434816/1572436172087296/STEM/a0cfe3832d294886aeeede4410244ae8.png?resizew=116)
您最近一年使用:0次