名校
1 . 已知函数
,其中
,
是自然对数的底数.
(1)若
,证明:当
时,
;当
时,
.
(2)设函数
,若
是
的极大值点,求实数
的取值范围.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8714c34e79831162ac50f2e58acf9cf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797bbd18359c9a29842b39109b3a0aac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a1090e9898ba52f7b4fa07ccae8d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311c988c5f2c26f9eb7de8bad7cc46eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc325de862c63e25a368685e6a0a4054.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229b94acf2f7fb687e7c316fa8409fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72d0ccaef355f549ed759f3c4181370.png)
您最近一年使用:0次
2023-04-04更新
|
654次组卷
|
3卷引用:安徽省示范高中皖北协作区2023届高三下学期3月联考(第25届)数学试题
名校
2 . 已知函数
在
处取得极小值.
(1)求实数
的值;
(2)设
,其导函数为
,若
的图象交
轴于两点
,
且
,设线段
的中点为
,试问
是否为
的根?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3d214d6b900403767211c010d115eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af6e4b38a797651ea1266857313545c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daacefd08b9379d67a2cf5360aa5bc52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c985d6a1e024804ccd86092e4e020cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c68c3e8471b18adcd7bd0a676e5103a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9e7513df6afb8307a8beb7e1dec194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b4293570f0e43b408e4df47ebae178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ebbaa3212b58008802ebb88ed1fc1c.png)
您最近一年使用:0次
2020-08-15更新
|
406次组卷
|
6卷引用:安徽省滁州市定远县民族中学2020届高三下学期5月模拟检测数学(理)试题
名校
解题方法
3 . (本小题满分16分)
已知函数
(
).
(1)当
时,求函数
的单调区间;
(2)若函数
既有一个极小值和又有一个极大值,求
的取值范围;
(3)若存在
,使得当
时,
的值域是
,求
的取值范围.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7af42fe5baa3cd8ce8d4f25e83620b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234f67432cb078723a0c8c3e5a48cae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af9c7ef9ed07dc35a71aa4717c5ec18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f6cebecff7a96e72b83a46d32efce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5c2df6fa79292fb70f8facb8bddd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-08-05更新
|
397次组卷
|
5卷引用:【校级联考】安徽省合肥市七中、合肥十中2019届高三上学期期中模拟联考数学(理科)试题
【校级联考】安徽省合肥市七中、合肥十中2019届高三上学期期中模拟联考数学(理科)试题江苏省溧阳市2017-2018学年高三第一学期阶段性调研测试数学(文)试题(已下线)2017-2018学年第一学期期末复习备考之精准复习模拟题高三江苏版数学试题(B卷)江苏省吴江盛泽中学2020年高考数学模拟试卷-陈斌斌【2020原创资源大赛】天津市耀华嘉诚国际中学2021-2022学年高二下学期期末数学试题
名校
4 . 已知函数
,在
处取得极值2.
(1)求
的解析式;
(2)设函数
,若对于任意的
,总存在唯一的
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc86137fd5fe01428fcb2d6c8f43ba09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cb0f8b7347d3f9b8158b281b30e5f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7265d4ba4b77fa4741f914cbfd0ff16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a26354bef797e9d4ebcfa0dcd0d90b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347ac85769012f89d1f9951684e1d7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次