名校
解题方法
1 . 若函数
是函数
(
,且
)的反函数,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4ed4485745f1d259a3953c242b9cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若指数函数
经过点
,则它的反函数
的解析式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3247f03357462fec934f37c65ebdc77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 函数
(
且
)的图象经过点
,则函数
的反函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74a01d149399210cc1ce429a5b2b20e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2763b57a7399653fbded5264f0cee150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74a01d149399210cc1ce429a5b2b20e.png)
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4 . 已知函数
与
互为反函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d0e12b8d218c074adca8bae8a12874.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d9b6c2e49d3b364792fda2cab1dd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d0e12b8d218c074adca8bae8a12874.png)
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解题方法
5 . 若函数
,函数
与函数
互为反函数,则
的单调减区间是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cc531918e92ecb3e47d812cc2d2bf5.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
是函数
的反函数,函数
的零点为
,且
(
)则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf7675fc49cbdf3611ac547d85c8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59598ad6c9f04322e3ad02575622e779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539584a316af78207f7a28bd79944d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d290a4927c50661098e2fbea58d77b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.1 | B.2 | C.3 | D.4 |
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名校
7 . 已知函数
与
的图象关于直线
对称,且
,则函数
的单调递减区间是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561a73389638438dc83800437109e666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f17c12957590a955b91bc7656ab844b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d33f0d4107f004207e77c48837d6c11.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-21更新
|
351次组卷
|
2卷引用:辽宁省丹东市2023-2024学年高一上学期期末教学质量监测数学试题
名校
解题方法
8 . 若
的反函数为
,且
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b92c365582b2fcb997568cd4a1b97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a2a1822ac7392b61b2c0fffc1fbc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9088ba94bb727cbcd36f1688550e1541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7266b2ef457b8ddeee3fa2cc24022e.png)
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9 . 写出下列对数函数的反函数(用x表示自变量,用y表示函数):
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3775a629bb29e890fd37692f5a6cf71.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a90955ae3a90343d164a91e5f835c.png)
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名校
10 . 函数
的反函数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3fe61fe0c99b21a08587196c61a3f0.png)
您最近一年使用:0次
2023-02-13更新
|
405次组卷
|
6卷引用:专题01幂函数、指数函数与对数函数全章复习攻略与难点强化训练(2)-【寒假自学课】(沪教版2020)
(已下线)专题01幂函数、指数函数与对数函数全章复习攻略与难点强化训练(2)-【寒假自学课】(沪教版2020)(已下线)专题02函数的概念、性质及应用全章复习攻略-【寒假自学课】(沪教版2020) 上海市上海师范大学附属中学宝山分校2023-2024学年高一上学期期末数学试卷上海市复旦大学附属中学2022-2023学年高一上学期期末数学试题(已下线)5.4 反函数-数学同步精品课堂(沪教版2020必修第一册)(已下线)专题16反函数-【倍速学习法】(沪教版2020必修第一册)