解题方法
1 . 已函数
,若对于定义域内任意一个自变量
都有
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7cea92214e87be2367207d2467fcbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf71a3c73c1d82ae821018a7f67c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.0 | B.![]() | C.1 | D.2 |
您最近一年使用:0次
2024-03-08更新
|
196次组卷
|
2卷引用:浙江省临平萧山学校2023-2024学年高一上学期期末数学试题
解题方法
2 . 已知下列五个函数
,从中选出两个函数分别记为
和
,若
的图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0908ff4409d87277ab3b8583837bd1e.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae6be1c40cb864c38df5dcebf5f2035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870a586e90a7bb79dc44f9451dee19ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0908ff4409d87277ab3b8583837bd1e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/5f92437d-7854-4769-a256-899f9ed1c297.png?resizew=116)
您最近一年使用:0次
2024-03-07更新
|
170次组卷
|
3卷引用:北京市朝阳区2022-2023学年高一上学期数学期末试题
名校
解题方法
3 . 设函数
的定义域为
,且满足
,则不等式
的解集是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc4679a8360516b33a3cb9e86ab25b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390c620c0fd4a2cd8622171bdaf05f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ec6c59e1ce704a29d76726e2674129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd1f61519643b2a62367079f19c6c22.png)
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4 . 函数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f219ddb85f4385139a9c5c8bc661d93a.png)
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名校
解题方法
5 . 对于定义在
上的函数
,及区间
,记
,若
,则称
为
的“
区间对”.已知函数
给出下列四个结论:①若
和
是
的“
区间对”,则
的取值范围是
;②若
和
不是
的“
区间对”,则对任意
和
也不是
的“
区间对”;③存在实数
,使得对任意
和
都是
的“
区间对”;④对任意
,都存在实数
,使得
和
不是
的“
区间对”;其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c7469ee8a8f2794feb43d308e6740a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34827631412485924690f6ae624f9004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a51ba7093704585a09bdee86ca844b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0248166f5a50eb4fe7f8a02a2d8e397e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f5817ab7b88e9d8a83dd086ffdb3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad956ebc88c7fa82b268e47a361392b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f5817ab7b88e9d8a83dd086ffdb3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be381da62d4a042476aa11dbd5824e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f5817ab7b88e9d8a83dd086ffdb3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f310064412024a4947291dc7b03ef61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574bdac28b1dcbf03f0fb903e8d0b49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f5817ab7b88e9d8a83dd086ffdb3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22aee79f09d487b7867fefb973675cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c0d0b38c9c2222aae8d00ed437b61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f5817ab7b88e9d8a83dd086ffdb3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d760d2028fcb9bd149c721c3fe6187b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c0d0b38c9c2222aae8d00ed437b61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f5817ab7b88e9d8a83dd086ffdb3c2.png)
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名校
解题方法
6 . 已知函数
.
(1)求函数
的定义域和值域:
(2)若
为非零实数,设函数
的最大值为
.
①求
;
②确定满足
的实数
,直接写出所有
的值组成的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fec50b2180bce8bb76f76111bf8eb5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9781358e564f32054081a7e0b67fc936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a675b062ab139d92504d1b9d8667f12e.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a675b062ab139d92504d1b9d8667f12e.png)
②确定满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5927bbefe02b2d5ba6f316ed39ccdd86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
7 . 已知函数
(
且
).
(1)求
的定义域;
(2)若当
时,函数
在
有且只有一个零点,求实数
的范围;
(3)是否存在实数
,使得当
的定义域为
时,值域为
,若存在,求出实数
的范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3669104d54d9a4961391628eb57d4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d344f1f34ccddbf69d7fdd7180e21383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](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/57d3db0fbbcc4d4139bea308d35c7242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-09-25更新
|
815次组卷
|
3卷引用:广东省东莞市东莞中学2022-2023学年高一上学期12月期中数学试题
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1653dbf391bf5cb46e64535738eea7a.png)
(1)求
的定义域和值域;
(2)设
,求
的最大值
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1653dbf391bf5cb46e64535738eea7a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3b508b157b9e188d338aba1cf15ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
您最近一年使用:0次
名校
9 . 设函数
,若存在实数
,
,使
在
上的值域为
.
(1)求实数
的取值范围;
(2)求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb1e61fe2f7f590a4f82e66f93337c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9fcab2886322d40bb5b52d997984fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
10 . 已知函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4a1ff93f7fc83068214ae472e94334.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2023-02-09更新
|
1373次组卷
|
5卷引用:重庆市南开中学2023届高三第六次质量检测数学试题