名校
解题方法
1 . 已知定义域为
的函数
是奇函数
(1)求实数
的值;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9f333cee2ccb2b215d93011a162f7a.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036ab99cc2e6cfabfa2e32307d205899.png)
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2022-12-16更新
|
164次组卷
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2卷引用:山西省晋城市第一中学校2022-2023学年高一上学期第五次调研数学试题
2 . 解关于
的不等式
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb71310ec267ea2c2fc0ccaeb2343d0.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f90f33e6f94d251394c96d9a48d029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb71310ec267ea2c2fc0ccaeb2343d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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3 . 选修4-5:不等式选讲
设函数
,
.
(1)求不等式
的解集;
(2)若方程
恰有两个不同的实数解,求实数
的取值范围.
设函数
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331795968/STEM/560e6562e688452fb0d91c2b7ffb80e4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331795968/STEM/c456c1a5dec2410fbcda1655cca314d0.png)
(1)求不等式
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331795968/STEM/9e65320aa64e4599bfffa58ac67d1ee3.png)
(2)若方程
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331795968/STEM/8669090dba5c4bbd95d20082208636aa.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331795968/STEM/55ffad0adcae494c9dd3c2364e4ef401.png)
您最近一年使用:0次
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4 . 已知函数
的定义域是
.
(1)求实数
的取值范围;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450a6b4bf1b31587743940189ef780ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155ce31d1b9aacb82ba21ac8c536554a.png)
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2021-11-26更新
|
814次组卷
|
4卷引用:山西省晋城市第二中学校2022-2023学年高一上学期第二次质量检测数学试题
解题方法
5 . 已知
是定义在R上的奇函数,且
,对于任意
,都有
.
(1)解关于
的不等式
;
(2)若
对所有
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec94294313030bb5554b79e8ceb407a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a57d6d7b74ae630e6ce3b43afe6060.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fe096b0825a012bc90d13c16104e20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a97087acd5f4a7c147c9ef41e67849a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec25b9d7ca47b780a744c2ebbf31d925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 函数
.
(1)求
的单调区间;
(2)若
只有一个解,则当
时,求使
成立的最大整数k.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61edbe77befb7e5354100d04b603d9c1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f2c3547f47ce4f1ddcd38dc180175d.png)
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昨日更新
|
100次组卷
|
3卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第四次调研考试(5月)数学试题
山西省晋城市第一中学校2023-2024学年高二下学期第四次调研考试(5月)数学试题河北省邯郸市部分示范性高中2024届高三下学期三模数学试题(已下线)专题09 导数与零点、不等式综合常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
名校
7 . 在
中,内角
、
、
的对边分别为
、
、
,根据下列条件解三角形:
(1)已知
,
,
,求
;
(2)已知
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f2f1eb2beb23690f56a68dc7da08cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19bc789ba80d61ebf85bef2676efb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1ec9c5eaed4c211a040a2a33fb7c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
名校
8 . 已知函数
在
处取得极值0.
(1)求实数
,
的值;
(2)若关于
的方程
在区间
上恰有2个不同的实数解,求
的取值范围;
(3)设函数
,若
,
总有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6e61b90d7619c3339bc67923cb270c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e951460587680b4ca5cafaa22d6478b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f326a5bebacb4e613f6cee7864de1a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc5772dc04a108c293ad3c6ffc88a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2054b25b7e202512177b79d99fac447c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4353be42bf2da4179a7ff9e2de70d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9e6a7c261c04a9a8dfa3d0f57b8b68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2022-11-10更新
|
547次组卷
|
3卷引用:山西省晋城市第一中学校2022-2023学年高二下学期第一次调研数学试题
名校
9 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/03c81a18-3d07-4815-9c44-580ce0ae3736.png?resizew=397)
(1)画出
的图象,并写出
的单调递减区间;
(2)当实数
取不同的值时,讨论关于
的方程
的实根的个数;(不必求出方程的解)
(3)若关于
的方程
的有4个不同的实数根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8ee9a78db19cdb2910f315889c0f13.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/03c81a18-3d07-4815-9c44-580ce0ae3736.png?resizew=397)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64df0b608e709e01d8648fcaee04b4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2022-10-26更新
|
413次组卷
|
2卷引用:山西省晋城市第一中学2022-2023学年高一上学期第三次调研数学试题
10 . 下面是李强同学数学作业本上的一道题,请你帮他完成下面的题目.
求函数
,x∈R,在x=0,1,2处的函数值和值域.
(1)计算f(0)、f(1)、f(2).
(2)总结:容易看出,这个函数当x=0时,有最大值__________ ,当自变量x的绝对值逐渐__________ (选填“变大”或“变小”)时,函数值逐渐变小并趋向于0,但__________ (选填“永远不会”或“可能会”)等于0,于是可知该函数的值域为集合
=____________ .
求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49e790b1d37f231c10c6c93facc372c.png)
(1)计算f(0)、f(1)、f(2).
(2)总结:容易看出,这个函数当x=0时,有最大值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81eb656ad164ad616274078e34fa004f.png)
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