名校
解题方法
1 . 已知函数
,其中
且
.
(1)若
且函数
的最大值为2,求实数a的值.
(2)当
时,不等式
在
有解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7947133101b0fee8f2e51d6ebcb8f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d80381a4bee8ea40a2b634117864b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f325cf817aa7ab428aec9d2db1a5bd1c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71607511fdd4faa9e832345ceb2a817d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd774e2cb9d7144095ad5d576fb7d9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
您最近一年使用:0次
2022-12-18更新
|
1454次组卷
|
4卷引用:山东省菏泽市2022-2023学年高一上学期期末数学试题
名校
解题方法
2 . 已知函数
.
(1)若
在
内单调递增,求
的取值范围;
(2)若任意
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f7983972c6eb6509716f4cb40083cb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988e3e071fb35d676e641d9410fe4fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69303621c56f67b4ec4e0ac575deb554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-01-14更新
|
636次组卷
|
5卷引用:四川省眉山市彭山区第一中学2022-2023学年高一上学期期末考试数学试题
名校
解题方法
3 . 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
|
647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
解题方法
4 . 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
名校
5 . 已知函数
是偶函数.
(1)求实数k的值;
(2)当
时,方程
有实根,求实数m的取值范围;
(3)设函数
,若函数
只有一个零点,求实数n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d2c8e0da3d9662b5ac481645c80d75.png)
(1)求实数k的值;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c269b5fc40b6985e1aad2be09d29c6fa.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1405d3e7a6a73ca75bb8065ceb40113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9395af40581559afb4bcacccef3b4776.png)
您最近一年使用:0次
2022-02-25更新
|
1217次组卷
|
2卷引用:辽宁省沈阳市五校协作体2022-2023学年高一上学期期末数学试题
名校
解题方法
6 . 已知函数
是奇函数,且过点
.
(1)求实数m和a的值;
(2)设
,是否存在正实数t,使关于x的不等式
对
恒成立,若存在,求出t的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1526c93dd57cc356c851a509338a4bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efca7f1ccd15925cbebb35dd734981a4.png)
(1)求实数m和a的值;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd82868cd08da1d0713054d2f12a7bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a2c01ac2a7f6ad7e03cb7a61daefab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d70d569a3097d652355520910380ea.png)
您最近一年使用:0次
2023-12-27更新
|
510次组卷
|
3卷引用:湖北省重点高中智学联盟2023-2024学年高一上学期12月联考数学试题
解题方法
7 . 已知函数
,
.
(1)解不等式
;
(2)若
在
上恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c0810401c3b70bf3fa8aa4f877e559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1e8780eda0fe69b6d94572c78baa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e921e861e136a3ab00fe3b87fb75048.png)
您最近一年使用:0次
2022-11-10更新
|
1103次组卷
|
2卷引用:江苏省无锡市洛社高级中学2023-2024学年高三上学期期初调研数学试题
解题方法
8 . 已知函数
,(
且
)的最小值为
.
(1)求
的值;
(2)设函数
,求
零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61052ec41022e766b38e6d6645be34d0.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/acbc6a613224461ade69362d46550474.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a65c3185ea987200f76dfc9b640d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
时,求函数
的单调区间;
(2)若函数在
内为增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c23a181a8308c0215a09ef2925abb05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da331b83b4d66da80cc3c4fdc38eabfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
10 . 已知函数
在
上单调递减,设实数a的取值集合为M.
(1)求
;
(2)若函数
在区间M上单调递增,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1530d5356fa8706179a62ea732d3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90221b977ddbb922e0039e33066a17a4.png)
您最近一年使用:0次