名校
1 . 已知函数
,给出下列四个结论:
①对任意
,函数
的最大值与最小值,之差为2;
②存在
,使得对任意
,
;
③当
时,对任意非零实数
,
;
④当
时,存在
,存在
,使得对任意
都有
.
其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b447d6244dfcd6834aca3c88f0fe0f7.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8f4d6da4afecaea57700943c134976.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13eb381a9443d9f1235e6b610faeb791.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c8bbc6a9f7fbf3df7166dfbe5979b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b00438433719b82971f9fe309e04b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d01b38d7a186768dcdf433584ff9c1.png)
其中正确的是( )
A.①②③ | B.②③ | C.③④ | D.②③④ |
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名校
解题方法
2 . 已知函数
,则下列选项正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9cb03aa08cfa6a15a8ffbd83824656.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-05-27更新
|
1171次组卷
|
5卷引用:北京市第八十中学2023-2024学年高二下学期期中考试数学试题
3 . 设函数
的定义域为
,如果
,
,使得
成立,则称函数
为“
函数”. 给出下列四个函数:①
;②
;③
;④
,则其中“
函数”共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1902ef70f2b5d826538d9e01809f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babaf7e9f65985b3db2d8bd0175678f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9214539e367939d3f4676758334411d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a3fd04f4b3ba73d29a5d74be19ec38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bd963b750b4223c3dc9e6c60739d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ad5d1dcba7cc85a711f9774cb75e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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名校
解题方法
4 . 若
,
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af358fb324927e38165f4c44056eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2373da0cb3d6a502ef43225ee5a1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0414610e3bc91fcadd8182521d36db3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98eacd23a018f7d3888763f3a37aa40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 若函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5d283dc56b50356833f994e0ee23fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1756433c66dfecdc923053909302a56d.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2024-04-11更新
|
1150次组卷
|
4卷引用:北京市第九中学2023-2024学年高二下学期期中考试数学试题
名校
6 . 若函数的定义域为
,值域为
,那么函数
的图象可能是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 下列函数中定义域为
,
,当
时,都有
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ba6d93a671ca21730facc7fbf052c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580c300d1699fc2145c914a0c99ae585.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
8 . 函数
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b2224906e8016a0ecf0bcf87b5cec9.png)
A.![]() | B.0 | C.1 | D.2 |
您最近一年使用:0次
2024-03-12更新
|
188次组卷
|
2卷引用:北京市第五十中学分校2023-2024学年高一上学期期中练习试卷
名校
解题方法
9 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3224ca2f17b43b9b7702a947448b7bd0.png)
的值域是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3224ca2f17b43b9b7702a947448b7bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985e83f5495e8adaa6b8ea86907b56fa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-12更新
|
1002次组卷
|
2卷引用:北京市第五十中学分校2023-2024学年高一上学期期中练习试卷
名校
解题方法
10 . 已知函数
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b20cee0e565a6815c15564c63c33a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ebfbd16965e214e84a525306e57d9c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-12更新
|
537次组卷
|
2卷引用:北京市第五十中学分校2023-2024学年高一上学期期中练习试卷