1 . 已知函数
.
(I)当
时,比较
,
,
的大小;
(Ⅱ)当
时,若方程
在
上有且只有一个解,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c0b471c9a4ff941c65b0dc3b7605b7.png)
(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a551a88ac426439803f564a3bbee04a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d166d6513f87711ca7971d59324826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0049a5fa1ec6c9be4503c132be28ca2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb4b22bc6c43d9e7ed737246bb4ea04.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae92417755fa5aee26bc986535135c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5928c2be74ba3d134c687de5c22fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.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
2 . 已知函数
.
(1)当
时,方程
在区间
内有唯一实数解,求实数
的取值范围;
(2)对于区间
上的任意不相等的实数
、
,都有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677c322c843707d031ef7bc8378c5261.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330aac4d09c91db1b636cfb3d819ac67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38bcfbfb00e74ec92bebf20fc3e2dfef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)对于区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191a9f1cd3402de148664b7fbe7a0c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-04-27更新
|
507次组卷
|
2卷引用:湖北省襄阳市2018-2019学年高二下学期期末数学(文)试题
3 . 已知
(I)求函数
的极值;
(II)若方程
仅有一个实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146a30525ffaf716fd4b86f448e71897.png)
(I)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
(II)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285d6aef5e3634be96d2f2060bd41a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df2cf24698766c54e7a7c61d4ad2bfb.png)
(1)当
时,求函数
的单调区间;
(2)若方程
在区间
上有实数解,求实数a的取值范围;
(3)若存在实数
,且
,使得
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df2cf24698766c54e7a7c61d4ad2bfb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac0a38f359dd17a73c3e9f7bbbc5be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e15f0b1bdff81fe56227d1141f8bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87027136ff548fc504dea240e75cea86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc9edb22a22dd339bf9f169e6642169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe357c4d3077bdf6f6f88921a234bc1.png)
您最近一年使用:0次
5 . 设函数
.
(1)当
时,函数
取得极值,求
的值;
(2)当
时,求函数
在区间
的最大值;
(3)当
时,关于
的方程
有唯一实数解,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca40a79d934b5208e0f0fd8aa39aa48.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41c6b9fa72109ba69163a5c6b7874a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f248318141e0016d38f9f5a692797f.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5dff31759eee997dbe1dae850fbdf8.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
.
(1)求函数
的单调性与极值;
(2)若关于
的方程
有两个解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492ed70446f992ae9f02768fed444bbb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d8757e551b2104d3dfbbd4c8bfe961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-04更新
|
598次组卷
|
2卷引用:2016届吉林四平一中高三五模文科数学试卷
7 . 已知
.
(1)求函数
的单调区间;
(2)若关于
的方程
有实数解,求实数
的取值范围;
(3)当
时,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5220c1d29955df47343122a463c46a92.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2965d98ee43e87071d8cb547166f7950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9678d9630c4df952ce3be68db0a2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e315fa784fff61aa68cbe2d834681642.png)
您最近一年使用:0次
14-15高三上·陕西·阶段练习
8 . 已知函数
,其中
为实数,
(1)若
,求函数
的最小值;
(2)若方程
在
上有实数解,求
的取值范围;
(3)设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e9f300af2c7392af58d50f3f1a9867.png)
…,
均为正数,且
,
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8a1158dc0bd7fe9811e7f7d8865bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187d8df1f4c4673d12c1d0608534de23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e9f300af2c7392af58d50f3f1a9867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa552498905d75b446a60dce3180baaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df94b5125420fcc870aa6b0643ead57d.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3df1aebd310818f3e78b56c4ea26ef5.png)
您最近一年使用:0次