1 . 函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cec4155e87d372a443f337bf62f2af.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.对任意![]() ![]() ![]() |
D.存在![]() ![]() ![]() |
您最近一年使用:0次
2024-06-08更新
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218次组卷
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7卷引用:山东师范大学附属中学2022届高三下学期高考考前检测(打靶题)数学试题
山东师范大学附属中学2022届高三下学期高考考前检测(打靶题)数学试题(已下线)专题09导数与函数的单调性-2022年新高三数学暑假自学课精讲精练福建省三明第一中学2023届高三上学期第二次月考数学试题(已下线)第40练 导数在研究函数中的应用河北省唐县第一中学2022-2023学年高二上学期9月月考数学试题辽宁省沈阳市东北育才学校科学高中部2023-2024学年高二下学期期中考试数学试题江西省宜春市丰城中学2023-2024学年高一下学期第三次段考(5月月考)数学试题
名校
解题方法
2 . 已知函数
和
在
处有相同的导数.
(1)求
;
(2)设
是
的极大值点,
是
的极小值点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b83b9c3e472efa966b4fc82164d090c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5525fbd27b3ab5f64951a761abbe1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b795f5bca9074a486bf81b06326f25.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f03f3c83a614776947e6ec32420be4.png)
您最近一年使用:0次
2023-12-20更新
|
408次组卷
|
3卷引用:江西省宜春市铜鼓中学2023届高三上学期第三次阶段性测试数学试题
名校
解题方法
3 . 若函数
在点
处的切线的斜率为1,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0893a0890f388107bb5d7a9cbcb67e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a958d35dcabd8e967c112785dd956bee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-06更新
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1033次组卷
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2卷引用:【名校面对面】2022-2023学年高三大联考(11月)文数试题
4 . 已知
为奇函数,当
时,
,则曲线
在点
处的切线方程是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9f3c77b666d98bdff74249b8ad40de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ff25c767fcbe6fe596d996031eed1.png)
您最近一年使用:0次
5 . 设定义在
上的奇函数
满足当
时,
,则函数
在点
处的切线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833eed99953ac9a40802e7b04f41a1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ff25c767fcbe6fe596d996031eed1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
6 . 已知函数
.
(1)若函数
的图象在
处的切线与
轴平行,求
的值;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664f045c401214642af3cde341a8c62f.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b531c36ff866949690e5988b5f795898.png)
您最近一年使用:0次
解题方法
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea46afaf23c78273d16498f0245db465.png)
.
(1)当
时,求
在点
的切线方程;
(2)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea46afaf23c78273d16498f0245db465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcaceadc00d891e292c8bdff9e4ce64.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
8 . 已知
,若函数
,当
时,函数
的零点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41acb378d81e6ce5e60e7a381bceb102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0dc76470681a49263fb2a2728d56f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19e5cbec6cf3038d8945661607b0af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
9 . 已知函数
.
(1)若
,求曲线
在
处的切线方程;
(2)若关于
的方程
有两个不同的实数根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffac0ccb42680079ae34097482bcaaca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb59e807440c2df0eaf86123e42eefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
10 . 已知抛物线
:
的焦点为
,过点
且斜率为
的直线
与圆
:
相切.
(1)求
的方程;
(2)设
,过点
作
的两条切线
,
,切点分别为
,
,试求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b12efb03327f461e868b2ea433f9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b639f7eca59e0a0497fbb054f1d2b53.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd9d9feb6af9ce8e8e472aa17b82f3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
您最近一年使用:0次
2024-02-28更新
|
203次组卷
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2卷引用:1号卷·2022年高考最新原创信息试卷(六)文数