名校
1 . 已知
是定义在
上的严格减函数,若
,
,那么其反函数
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f88173ef0c29bedd0155b7893d2474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafa19a574b9a0903814359f499d4657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13680c4c00ba1780911bfa92b717270a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
A.定义在![]() | B.定义在![]() |
C.定义在![]() | D.定义在![]() |
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解题方法
2 . 幂函数
的图象过点
,则
的值__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3556aa936d8b8a668bff1e1304253568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3109c7159fbb9c881677b97d2789fb3a.png)
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3 . 已知
,函数
的反函数为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd958bd75f8fb9d89214b6b8826c4780.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9e079d16cd4a7942c21de7880dc641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f550a83188f8365736c1850264300a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd958bd75f8fb9d89214b6b8826c4780.png)
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4 . 已知函数
的解析式为
,其中常数
满足
.
(1)若
,判断函数
是否一定存在反函数,并说明理由;
(2)若
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df8a81208ff362b120820bd01a22441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f03cab451843012fd80fa6cc698c648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393404353b12670e0ae07cc95bca7844.png)
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5 . 已知
的反函数
的零点为2,则实数
的值为___________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84d836cb0dc176721b6db1a922b2c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 函数
的反函数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f857f2e8246dc056ac8f8ccd962d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
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7 . 若函数
的反函数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc5e69ad6a5f844476a169b85bf792b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc5e69ad6a5f844476a169b85bf792b.png)
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8 . 若函数
的图像过点
,则
的图像经过点______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad095a483e671873023cdc32c01fb19c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551981e04d6a7f74817ee75e86e8c9fc.png)
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9 . 函数
的反函数为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f044beae02c958cad44d2aef944ec3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1402e65bc41151e14e41a76e1302cc9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f044beae02c958cad44d2aef944ec3.png)
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10 . 设
是函数
,
的反函数,则函数
的最小值等于___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab82f420f416d8ec9b33361d84c0d594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eedd50c3697d7653e26bc844f930dad9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c7d4cf1f9f608e3e481ac04e35801d.png)
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2021-05-04更新
|
217次组卷
|
3卷引用:上海市崇明区2021届高三二模数学试题