1 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff559aff18af00f4a58e9806e6b7202.png)
(1)讨论函数
的单调性;
(2)若
(其中
),证明:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5783ecf9d3196868fa33b6a769666189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff559aff18af00f4a58e9806e6b7202.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ba1babb8ef90a53bd3b36dbc55cb69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c534f574156e120f4a8d9ebef47ede.png)
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解题方法
2 . 已知函数
其中
是自然对数的底数,
为正数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(1)若
在
处取得极值,且
是
的一个零点,求
的值;
(2)若
,求
在区间
上的最大值;
(3)设函数
在区间
上是减函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07829b9e293306ad862197c6839d5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ad5cbb3648233e44c795596540971e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915f5f271326f69b6ee324b128eff816.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ce93b9f0ea8d7e3a5e4a4f2fcacf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5239e374894f95da60c5cb35a2a718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
3 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0794c2397bb00c621e4bbb25096a5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174f3689498adbb8e929c1d80f8c4d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e2f790d89a67c47551b6ee80f988cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-11-09更新
|
781次组卷
|
4卷引用:江苏省连云港市2022-2023学年高三上学期期中数学试题
4 . 已知函数
.
(1)当
时,判断
的零点个数;
(2)若不等式
对任意
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7980111edee3c8fc65222950c4691e7b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba55e007b00aa922f39f8f8a79a03a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c6c971f35885820272fb633565aca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
您最近一年使用:0次
名校
5 . 已知函数
.
(1)已知直线
是曲线
的一条切线,求k的值;
(2)若函数
有两个不同的零点
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c0b471c9a4ff941c65b0dc3b7605b7.png)
(1)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fa9d48d986eb047a899228e0a90713.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/f9ac8f3b53dde42307d38cca9b7bd98f.png)
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2022-05-13更新
|
615次组卷
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2卷引用:江苏省连云港市2022届高三下学期高考前模拟(一)数学试题
6 . 已知函数
.
(1)判断函数
的单调性;
(2)设
,当
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c2ed919a2ca73703c04a7f0d3be241.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900774a5d04f378025c93ed61067f295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17af43cc460a6a7010d51a0c9403d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
7 . 已知函数
,
.
(1)当
时,讨论
的单调性;
(2)若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f1d32a976a68683097b1a278fc43e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f554a251b4709c2f7cc7317f21d0860.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9496a840859c8031d381aca2d66900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe393adbbdabd124bc5fbaeda094991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-03-09更新
|
2648次组卷
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5卷引用:江苏省连云港市赣榆高级中学2022届高三下学期高考冲刺热身练数学试题
江苏省连云港市赣榆高级中学2022届高三下学期高考冲刺热身练数学试题福建省泉州市2022届高三毕业班质量监测(三)数学试题(已下线)第05节 专题强化训练福建省厦门外国语学校2023届高三上学期10月月考数学试题(已下线)模块四 专题2:导数大题分类练 (拔高卷)
解题方法
8 . 已知函数
.
(1)若
,求函数
的单调区间;
(2)若函数
有两个不相等的零点
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bfc728d13278f4a9be012cd1df37aac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174c537d31edcf79b923568b8808646d.png)
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2022-02-03更新
|
673次组卷
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2卷引用:江苏省连云港市2021-2022学年高二上学期期末数学试题
名校
9 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b1f92f99e3ec14c233999c7b935945.png)
A.![]() ![]() |
B.![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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2021-10-12更新
|
716次组卷
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4卷引用:江苏省连云港高级中学2022-2023学年高三暑期学情检测数学试题
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9204383943d52a9270a8b859ef346db.png)
(1)讨论函数
的单调性;
(2)当
时,不等式
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9204383943d52a9270a8b859ef346db.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40c04718d166e2d493989d354d555ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b916c6d3fb2fdc67421489f207c93903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-07-10更新
|
230次组卷
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