1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32953644272b8c58081f680f0b039fbf.png)
(1)若关于
的方程
在区间
上恰有2个不同的实数解,求
的取值范围;
(2)设函数
,若
,
总有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32953644272b8c58081f680f0b039fbf.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e951460587680b4ca5cafaa22d6478b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f326a5bebacb4e613f6cee7864de1a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc5772dc04a108c293ad3c6ffc88a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2054b25b7e202512177b79d99fac447c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087fefd8ac9f57dfe6ea343d8f597941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9e6a7c261c04a9a8dfa3d0f57b8b68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)求
在
的最小值;
(2)若方程
有两个不同的解
,且
成等差数列,试探究
值的符号.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33426d6f89e2874a389b5d884fa5a4de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf87d9d48c3de0a5e9f1a70e51a0bef.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/546cd7c7c03fde940c6f3d4b3d423061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91421e7703d87617f50270178decd18a.png)
您最近一年使用:0次
2022-11-17更新
|
926次组卷
|
6卷引用:山东省德州市2022-2023学年高三上学期期中数学试题
3 . 对于三次函数
,定义:设
是函数
的导函数
的导数,若
有实数解
,则称点
为函数
的“拐点”.现已知
.请解答下列问题:
(1)求函数
的“拐点”A的坐标;
(2)求证:
的图像关于“拐点”A对称,并求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47db775f5675cd10012f964a336832f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4a5292f6af433342a866336d05fe5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de68bc1a57041a038aea6711c8848999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4724249ffd113d05e9a1806c90647e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44497598c08c9e219a7737af9faa1d87.png)
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2022-09-30更新
|
520次组卷
|
6卷引用:河南省南阳市第一中学校2022-2023学年高三上学期第二次阶段考试文科数学试题
河南省南阳市第一中学校2022-2023学年高三上学期第二次阶段考试文科数学试题山西省晋中市平遥县第二中学校2023届高三上学期10月月考数学试题(已下线)1.2.2 函数的和差积商求导法则(同步练习)2022-2023学年高二选择性必修第二册素养提升检测(提高篇)(已下线)第01讲 导数的概念与运算-【寒假预科讲义】2024年高二数学寒假精品课(人教A版2019)(已下线)2023-2024学年高二下学期第一次月考解答题压轴题十六大题型专练(1)(已下线)5.2 导数的运算(2)
名校
4 . 若函数
,当
时,函数
有极值
.
(1)求函数的解析式;
(2)若关于
的方程
有三个解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f8287b8e7178771252535e6a4a19a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
(1)求函数的解析式;
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623995fc2140477691f6685d15352834.png)
(1)讨论
的单调性;
(2)设
,若方程
有三个不同的解,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623995fc2140477691f6685d15352834.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7741de38852a18853b2f631ecd45b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790eacf3ea708dc5cfbb85164e57fb27.png)
您最近一年使用:0次
2022-03-22更新
|
1446次组卷
|
6卷引用:西南名校联盟2022届“3+3+3”高考备考诊断性联考卷(二)文科数学试题
6 . 已知
.
(1)求
的极值点;
(2)若不等式
存在正数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f7ee70bb503aa82ca3583dc9f1d3f3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd300684af2e4c048ab801cd3209a61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-07-15更新
|
601次组卷
|
4卷引用:四川省眉山市2021-2022学年高二下学期期末数学(理)试题
7 . 已知函数
(e为自然对数的底数),
(
),
.
(1)若直线
与函数
,
的图象都相切,求a的值;
(2)若方程
有两个不同的实数解,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3dec9d2ae8a300d24f78628d62900c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30884f6bcf33868f0e4ff543f0b8c48d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3016baf1a9ce777f16ea9ce469b2510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587df831df1af5e7dd6be5fdc7bd8ce.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)求函数
的最小值;
(2)若方程
有两实数解
,求证:
.(其中
为自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ab948e5df77b57035f6b2717700858.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e409849c921f4868c5a78abffb9f74bb.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d297da393c2035fd4184db3ddcf5eac4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5ee58a4983da76e7c34675d3da3451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa9b12852f286c2d26734a31b3b08c8.png)
您最近一年使用:0次
2022-05-25更新
|
1964次组卷
|
4卷引用:粤湘鄂名校联盟2023届高三上学期第一次联考数学试题
2022高三·全国·专题练习
9 . 已知函数
,其中
为常数.
(1)若
恰有一个解,求
的值;
(2)
若函数
,其中
为常数,试判断函数
的单调性;
若
恰有两个零点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc22530e49ee89ffa24e7b57de85558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a076165bc5557f778b9dbd9dd955708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432db448bb03d979c52b2ed4de003e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e988d3aefa4c72cfc837f3707e1c69b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b916df8bdd03ba4a31c0b8470d13436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbf675ac1c5292db9f88fb58450381d.png)
您最近一年使用:0次
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c43017ed69225c2675214612efaa52.png)
(1)若
,求函数
的最小值;
(2)若关于
的方程
有三个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c43017ed69225c2675214612efaa52.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
![](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/7d375b85fd63202b9e0e24aa6882791a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次