名校
解题方法
1 . 已知函数
.
(1)若关于x的不等式
的解集为
,求
的取值范围;
(2)若函数
在
上是减函数,且对任意的
,总有
成立,求实数m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578fa7de2bb49776a4e015159848ef29.png)
(1)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578fa7de2bb49776a4e015159848ef29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be381da62d4a042476aa11dbd5824e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7777890f78b6f026e4789b0626e9e3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588b11ff8f97d4d15019956921398096.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c830818d342726379d43e947bfb0dbf.png)
(1)若
是二次函数,过点
,顶点坐标为
,求
解析式
(2)当
时,若函数
在
上为单调递增函数,求实数
的取值范围;
(3)若关于
的不等式
的解集为
,求不等式
的解集(所求解集要求用区间的形式来表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c830818d342726379d43e947bfb0dbf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a1182481cb21386d5ceeb70f41740f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499a8449e8bb253065463c23f3ff5860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0376e851b46f7ea41759fb56b877b0cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7450f0033ae9a03a687db98c0d76719.png)
您最近一年使用:0次
解题方法
3 . 已知
,则不等式
的解集为________ .若对于任意
,都有
,则正实数
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a97cb64885f6a1b5646840e14f42b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b76be0cb464b2a141d76963e5295a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53fea451e5a89546cf758597abf9063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9bd59c91225e8e9b1e5d306ee41f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)当
时,函数
在
上单调,求
的取值范围;
(2)若
的解集为
,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a35277c37144276ead40bb74a51481.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4842c7c85e9610baedc948a41107d5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe37dbbbde54a7ff0f7b37fff4b71c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72656c882b2830eeb8053ec18c0088f.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,
.
(1)若
,写出函数
在
上的单调区间,并求
在
内的最小值;
(2)设关于对
的不等式
的解集为
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18672eb4df921b380f518b72a5912f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)设关于对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3b8f5edf3e30465035ea5b2eedee2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45242b802854eb7fc3ed681c4acdbf58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
6 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1f088d1005c95bb6e1b8dd4c151616.png)
(1)当
时,求方程
的解集;
(2)设
在
的最小值为
,求
的表达式;
(3)令
若
在
上是增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1f088d1005c95bb6e1b8dd4c151616.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8b002680c476b8323c4b67e8bc999e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a040e579bed22012e8f3a2cdd3482645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-10-29更新
|
397次组卷
|
2卷引用:重庆市西南大学附属中学校2023-2024学年高一上学期拔尖强基联合定时检测(一)数学试题
名校
解题方法
7 . 已知
,其中
,
为实数.
(1)若不等式
的解集是
,求
的值;
(2)若函数
在区间
上单调递减,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8620a699daf476dc19b68ff3eb74a450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4af5195336841d2264ee3a00ae43f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cde6da5e4a71a3df6cd950ff1a90920.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b6af40121ff708ff71f86de2777622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be381da62d4a042476aa11dbd5824e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)若函数
在
上单调,求实数a的取值范围;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc0adc72ebece8082f6f85bf81378c9.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
您最近一年使用:0次
2021-12-04更新
|
1079次组卷
|
6卷引用:辽宁省铁岭市某校2023-2024学年高一上学期期中考试数学试题
9 . 已知函数
.
(1)若不等式
的解集为
,求实数k的值;
(2)若函数
在区间
上不单调,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcf6f310b19545b9c6144e68355c6a9.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1880c84f4491f1b422d63e431b376d8c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
您最近一年使用:0次
2021-07-09更新
|
1679次组卷
|
7卷引用:黑龙江省双鸭山市红兴隆第一高级中学2022-2023学年高一下学期期中数学试题
黑龙江省双鸭山市红兴隆第一高级中学2022-2023学年高一下学期期中数学试题A佳湖南大联考2020-2021学年高一下学期4月期中联考数学试题(已下线)3.2.1 单调性与最大(小)值(精练)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第一册)(已下线)3.2 函数的基本性质- 2021-2022高一上学期数学新教材配套提升训练(人教A版2019必修第一册)(已下线)5.3 函数的单调性(课堂培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)江苏省连云港市赣马高级中学2022-2023学年高一上学期期中复习数学试题(2)第二章 函数--2022-2023学年高一数学上学期北师大版2019必修第一册
解题方法
10 . 已知函数
,则不等式
的解集为______ ,若实数
,
,
满足
且
,则
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ed5482989a8c09175e24edecee724d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b73abfe4bc26b1ded680d7abb1a2cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53aac8ed7ecc41d22656d55b76cbd6b3.png)
您最近一年使用:0次
2020-04-10更新
|
565次组卷
|
3卷引用:模块六 专题5 全真拔高模拟1