1 . 幂函数
的图像过点
,其反函数为
,则
=_____ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e7d192c1c988462b773b36fe0bc169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a2a1822ac7392b61b2c0fffc1fbc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56725a44a7c4c5bc22f46e3cdcf5ed65.png)
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2020-12-02更新
|
228次组卷
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3卷引用:上海市川沙中学2022届高三上学期第一次月考数学试题
名校
2 . 已知函数
,其中
为常数,且
.
(1)若
是奇函数,求
的取值集合
;
(2)当
时,设
的反函数
,且
的图象与
的图象关于
对称,求
的取值集合
;
(3)对于问题(1)(2)中的
、
,当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278df94054ba3e03f7554b0966952fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d6b59f4796a45963dea76b89c72bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87acb883fe6dd6cb459c033bf9bdb71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eeb798e15ef4ea311e1d3523e7fc7a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)对于问题(1)(2)中的
![](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/78d4988be20f6e68410c41de0ae04406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcb81b0d21db180d717dc4628f4ab18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2020-02-01更新
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261次组卷
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3卷引用:上海市南洋模范中学2016届高三10月检测(三)数学试题
名校
3 .
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01561d03df3b6f99238b0cd2bbc9af3f.png)
_________ (
为
的反函数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a886ec8221d149718403decfa912e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da6d82d173ad18cc040e94c925b5ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01561d03df3b6f99238b0cd2bbc9af3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d6b59f4796a45963dea76b89c72bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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4 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5d6ad0fa74ac30344d4f2cf7f0a9cd.png)
的反函数是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5d6ad0fa74ac30344d4f2cf7f0a9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846af1bdadcb3897971d0b2f767e1f3.png)
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2020-01-07更新
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113次组卷
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2卷引用:上海市建平中学2020-2021学年高一上学期12月月考数学试题
名校
5 . 已知函数
,函数
的图象与
的图象关于
对称.
(1)若关于
的方程
在
上有解,求实数
的取值范围;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c930dcbd1af033762395b6bd11111efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d687da99486863ab2331ee9d70028886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce92709d76c89ded0395bc41f218c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2019-12-09更新
|
343次组卷
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2卷引用:上海市新川中学2018-2019学年高三上学期10月月考数学试题
名校
6 . 已知数
(其中
).
(1)判断函数
的奇偶性,并说明理由;
(2)求函数的
反函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35a5cb6579d217b7defb9da5347758c.png)
(3)若两个函数
与
在区间
上恒满足
,则函数
与
在闭区间
上是分离的.试判断
的反函数
与
在闭区间
上是否分离?若分离,求出实数
的取值范围;若不分离,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f774d40136c933a099510d31bea5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求函数的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35a5cb6579d217b7defb9da5347758c.png)
(3)若两个函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e593828316139a54019e352dec883f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be35b4d8f52e8f440297683c3178e22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471b2322f61b36c4f59fa6268218e384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e593828316139a54019e352dec883f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be35b4d8f52e8f440297683c3178e22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c773633c5cfdccc24ee6388dc11b88e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
7 . 关于函数
的反函数,正确的是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152f3df003ec70bffce22873618be147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a7c09c9f8db6df21496dbc0b7ab71a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152f3df003ec70bffce22873618be147.png)
A.有反函数![]() |
B.有反函数![]() |
C.有反函数![]() |
D.无反函数 |
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名校
8 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求
的取值范围,使
在闭区间
上存在反函数;
(2)当
时,函数
的最小值是关于
的函数
,求
的最大值及其相应的
值;
(3)对于
,研究函数
的图像与函数
的图像公共点的个数,并写出公共点的横坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b35abc4886f393e4c6792d5ac25d87a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a92ba8b43bebdf7d6c40917f4d3e110.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966d9dd819cba29980da3700422c2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a675b062ab139d92504d1b9d8667f12e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a675b062ab139d92504d1b9d8667f12e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a68591cf3ce4c7634dcc801711fad0d.png)
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9 . 函数
的反函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc17ebcc65ea1a67ba1eabe2b0edab1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5e1fce74fc35058bd573196de18915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc17ebcc65ea1a67ba1eabe2b0edab1.png)
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2019-10-24更新
|
341次组卷
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9卷引用:上海市复旦大学附属中学2019-2020学年高三上学期10月月考数学试题
上海市复旦大学附属中学2019-2020学年高三上学期10月月考数学试题2015届上海市杨浦区高考一模(文科)数学试题上海市青浦区2019-2020年高一上学期期末数学试题上海市浦东新区洋泾中学2019-2020学年高一上学期期末数学试题(已下线)上海市华东师范大学第二附属中学2020-2021学年高二下学期期末数学试题(已下线)高二下期末真题精选(易错60题45个考点专练)(高中全部内容)(原卷版)(已下线)第五章 函数的概念、性质及应用(易错必刷30题9种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)(已下线)第四章 幂函数、指数函数与对数函数(易错必刷30题11种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)(已下线)期末真题必刷易错60题(20个考点专练)-【满分全攻略】(沪教版2020必修第一册)
10 . 已知函数
(
,
).
(1)若函数
的反函数是其本身,求
的值;
(2)当
时,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3448c3b57fdad1d19389168ad665ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51e2b8f615b2cc7eca7fda25efb507d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d238d52c95c5a448748d1f67caef46.png)
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2019-04-14更新
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372次组卷
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3卷引用:上海市虹口区2019届高三二模数学试题