名校
解题方法
1 . 已知函数
的图象过点
,
.
(1)求函数
的解析式;
(2)若函数
区间
上单调递减,求实数
的取值范围;
(3)设
,若对于任意
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e0c9fc9e4ae1bba87e5dce585bc9ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d736eecda4affc660007d49d933c2f45.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ca91ec71180d283245b3aea9616dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6599ea826ebaf29f570826aa719029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e0ae59fdebaf40d9ec08163faac351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-09-30更新
|
799次组卷
|
3卷引用:天津市静海区北师大实验学校2023-2024学年高三上学期第一阶段评估数学试题
名校
解题方法
2 . 已知函数
.
(1)若
的定义域为
,求
的取值范围;
(2)若
,使得
在区间
上单调递增,且值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d086ef1d166324dc207b6691093bd33f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81053ad34842a40aeae5a0d2a0d0031.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/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-04-08更新
|
642次组卷
|
3卷引用:山西省大同市陵川县平城中学2022-2023学年高二下学期第一次月考数学试题
名校
3 . 已知函数
(
,且
)的图象过定点
.
(1)求
的坐标;
(2)若
在
上的图象始终在直线
的下方,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24f47ba7b0795aaad4f2f79bf94dddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a037686255e42bc0e93db4b66baa3115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-03-26更新
|
310次组卷
|
3卷引用:云南省部分名校2022-2023学年高一下学期3月大联考数学试题
解题方法
4 . 已知函数
.
(1)当
时,求函数
的单调区间;
(2)若
在
上单调递减,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963e260a626beb93a49ce8a2a53f72a3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127d9b34229f1ce8a7ecdf4cb8ae7b49.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,
.
(1)求函数
的定义域;
(2)若不等式
在
上恒成立,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d94accdb1056c6c03b1fc33deed162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec93aca6079d4c1a618f660fad907169.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2df44a932c851ed59b9e2288b7ac7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8421f111b3e4bacc18ec9b56a6500d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,函数
图象与
的图象关于
对称.
(1)若函数
在
上单调递减,求实数
的取值范围;
(2)不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4730e42ec9404a6827072893ad7ce87c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf9e8dcb07bdb7f7cf4b97a256e38ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b7924a628b9cd9fd6d5f38ee744419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-02-15更新
|
697次组卷
|
3卷引用:湖北省黄冈市2022-2023学年高一上学期元月期末数学试题
名校
解题方法
7 . 已知函数
(
且
).
(1)若
,求
的值域;
(2)若
,
在
上单调递增,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88878d516f66473234d86ef232cae0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f88173ef0c29bedd0155b7893d2474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-02-12更新
|
395次组卷
|
2卷引用:广东省深圳市人大附中深圳学校2022-2023学年高一上学期期末数学试题
名校
8 . 已知函数
.
(1)若当
时,函数
有意义,求实数
的取值范围.
(2)是否存在实数
,使得函数
在
上为增函数,并且在此区间的最小值为
?若存在,试求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96cb8dd6afc4ba51a91230b43ec1b94.png)
(1)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8f259d798e7365e52b21f5f581519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)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/61e110ecbbb463f3cbb9d40996941d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-02-10更新
|
282次组卷
|
3卷引用:河南省信阳市2022-2023学年高一下学期阶段性测试(开学考)数学试题
名校
9 . 已知函数
,
.
(1)若函数
在
上单调递增,求实数a的取值范围;
(2)若函数
的定义域为
,值域为
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26951a3000e7f84a9b8bad4c26e4270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda591d3909af06eabf6b37c65bfe571.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)若函数
的定义域为
,值域为
,求实数
的值;
(2)若函数
在区间
上为增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00105e330617bebe79f83856c5b5e384.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68aeaab00b18ca6dbddfa93167c4d73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次