1 . 对于函数
,记所有满足
,都有
的函数构成集合
;所有满足
,都有
的函数构成集合
.
(1)分别判断下列函数是否为集合
中的元素,并说明理由,
①
;②
;
(2)若
(
)是集合
中的元素,求
的最小值;
(3)若
,求证:
是
的充分不必要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264f35bf099b45c499c9529f61ce8579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c7d35c770f126de82f6160bcfff0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d928af44759824e38d2254270b1e55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5ceb8c88f1b42f009d17854744d208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)分别判断下列函数是否为集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d01cb00904ee16178c7c35d7e0a8d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba87ca31345dd12f5604d35f3c326a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c532b5af7b88f1c21a7584cfac5fea6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfcd04b625189228b6d697edf095f7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414c7ae60baeadabe19cd4a953522437.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)判断函数
在其定义域上的单调性(不需要证明)﹔
(2)对任意的
,都有
,若存在
的两个取值
,使得
为常数),求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bff5eeeb9414192fe13fe7fa5599864.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c995d957e9e95c66544e876318641d5c.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0044f2840ab023ee12a23f6d88dadf6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38a915d8585180f3731ece24e3cf995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1579867c6de8346ee8fb115b2fa0ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb561b71047c16ab4354be0e4653359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d52943e3995bdda062b3f7930265682.png)
您最近一年使用:0次
2021-11-07更新
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417次组卷
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4卷引用:四川省成都市蓉城名校联盟2021-2022学年高一上学期期中联考数学试题