名校
1 . 给出4个命题:①函数
是偶函数;②函数
是
上的增函数;③若函数
,则对于任意的
,且
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db8805cda07838d256165991623acca.png)
④函数
的值域是
.上述4个命题中所有正确命题的序号是____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0693c82d7bff1a6c5d91aa990750843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65162dd97b6c2620ba0374ef600cfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db8805cda07838d256165991623acca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804a2923f1d45b3e030632ef77e64d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be499bf6740cac9ca4e9dbce085f3751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
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名校
解题方法
2 . 集合
是由满足以下性质的函数
组成:①
在
上是增函数;②对于任意的
,
.已知函数
,
.
(1)试判断
,
是否属于集合
,并说明理由;
(2)将(1)中你认为属于集合
的函数记为
.
①试用列举法表示集合
;
②若函数
在
(
)上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612196a90762a81ea26e4edf26e8d648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065206af6d87dc50ae77490101d84842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ef8e2eecaec66e2d89ab591a14c3b.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548636534994cd465dfc7bf7dd41505b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)将(1)中你认为属于集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①试用列举法表示集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb056bf37936d6687071d6003cb1559.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be466586da8810ccfd811c59a747adb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239a6b1f713ef38f2b613697d5daaf51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
3 . 以下命题正确的是( )
A.![]() ![]() |
B.已知函数![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.函数![]() ![]() |
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