名校
1 . 已知函数
,
在函数
的图象上,
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7480ce82be1cfa880a668214db2ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe197f95a36f68ee80f69ff5f4a26970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da1461d74701f5880dbd39e923f80b5.png)
A.设函数![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() |
D.函数![]() ![]() ![]() ![]() |
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2023-07-16更新
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3卷引用:贵州省遵义市2022-2023学年高二下学期期末质量监测数学试题
贵州省遵义市2022-2023学年高二下学期期末质量监测数学试题(已下线)第一章 导数与函数的图像 专题四 三次函数切线问题 微点2 三次函数切线问题综合训练吉林省白城市第一中学2023-2024学年高二下学期6月月考数学试题
解题方法
2 . 已知函数
.
(1)当
时,求曲线
在
处的切线方程;
(2)对任意的
,都有
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1111f93bbb492bd2ddb40f82274550a0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec25b105130d71d3d529524671b6218.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767a970273ee470296d2d4f9d447bf1b.png)
您最近一年使用:0次
2023-03-17更新
|
1270次组卷
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4卷引用:贵州省遵义市第十八中学2022-2023学年高二下学期第一次月考数学试题
名校
3 . 已知函数
.
(1)设
的零点为
,求曲线
在点
处的切线方程;
(2)若不等式
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12ceb12cf78408ec59d65b485194359.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9c0002b13f6cae093cd9dc9f19941b.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5a63440aac525112f9f42ada434bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c66d815378b39ae395dd50173c684bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-11-26更新
|
169次组卷
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3卷引用:贵州省遵义市2023届高三上学期第三次月考数学(文)试题
4 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233aa8bb190d5535f84eade0cfbc6b95.png)
(1)若
,
,
,请比较a,b,c的大小;
(2)若函数
有两个零点
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233aa8bb190d5535f84eade0cfbc6b95.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ccdf28e62c595d1f0337b18d70266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba48368ed6dd4b0f6d49b30113de0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a90f10037c5230d4281abb93c9179e4.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786999ff39b91fac93044fb70679be5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b67a008cbc20e42a317acfd632a8052.png)
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2022-08-22更新
|
552次组卷
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2卷引用:贵州省遵义市新高考协作体2023届高三上学期入学质量监测数学(理)试题
名校
5 . 若x、a、b为任意实数,若
,则
最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2769974502467aa6dee4342869d60094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e48e17f6f4aa65fc820f9ebbf76cb8a.png)
A.![]() | B.9 | C.![]() | D.![]() |
您最近一年使用:0次
2022-04-21更新
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7卷引用:贵州省遵义航天高级中学2021-2022学年高二下学期第一次月考数学(理)试题
贵州省遵义航天高级中学2021-2022学年高二下学期第一次月考数学(理)试题辽宁省沈阳市五校协作体2021-2022学年高二下学期期中数学试卷(已下线)专题12 导数中的“距离”问题(已下线)4.1 切线方程(精练)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)(已下线)专题25 圆中的范围与最值问题-1(已下线)专题12 导数中的“距离”问题-2专题06导数的概念与几何意义
6 . 已知函数
,且
.
(1)当
时,求
的单调区间;
(2)在函数上是否存在两点
,
,使得函数图象上在
处切线与
所在直线平行,若存在,求出
的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a727753aedc57264238ec4e532065db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedde86fd5b5e93c14ffd9190fc7d7a1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在函数上是否存在两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce482106356383d8c61c5a3bc1925eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
您最近一年使用:0次
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解题方法
7 . 已知圆
,动圆
与圆
外切,且与直线
相切,该动圆圆心
的轨迹为曲线
.
(1)求曲线
的方程;
(2)过点
的直线与曲线
相交于
、
两点,曲线
在点
的切线与
交于点
,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7f8d4d85e68e27a1c6cceb85d8f1102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856c83e47aaab6b0d3ef0823bd082c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7ad41b36674fd6e90176ee24cdefbb.png)
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2021-03-01更新
|
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10卷引用:贵州省遵义第二教育集团2019-2020学年高三上学期第一次大联考数学(文)试题
贵州省遵义第二教育集团2019-2020学年高三上学期第一次大联考数学(文)试题贵州省遵义第二教育集团2019-2020学年高三上学期第一次大联考数学(理)试题四川省宜宾市叙州区第一中学校2020届高三下学期第四学月考试数学(文)试题四川省宜宾市叙州区第一中学校2020届高三下学期第四学月考试数学(理)试题(已下线)数学-6月大数据精选模拟卷03(海南卷)(满分冲刺篇)四川省内江市第六中学2020-2021学年高三上学期第一次月考数学(文)试题(已下线)必刷卷02-2021年高考数学(文)考前信息必刷卷(新课标卷)新疆乌苏市第一中学2020-2021学年高二(网班)下学期入学检测数学试题甘肃省兰州市第一中学2020-2021学年高二上学期期末考试数学(理)试题河南省济源市第五中学2022-2023学年高二上学期期末数学试题
名校
8 . 已知函数
(
),
(
).
(Ⅰ)讨论
的单调性;
(Ⅱ)设
,
,若
(
)是
的两个零点,且
,试问曲线
在点
处的切线能否与
轴平行?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94b329d5e271a44ef54c45a0c26b641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a8c4eb822aeb591ceacfe8a7aaa11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb767101da5043919ce19b57d7fa5d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bea9391c115618bb84a7aa3da8a242d.png)
(Ⅰ)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9af6b8933cb0bcc983a15c903b5892e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940464c446e9b8704c07937b67aea0ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760effa3c34aefb5d6bbd0e7ca0d48fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0099ca46e5a01e0322621a2d75ccbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4e318eba446aef74e47ff27fda7bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af8a6bfa23a37c89f63beca96823d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8a14649950eb1c74a1a1af244fbf8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbf1211335bcbc0ebb05414669eda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12331fc70df3050ce71e5870580a1d32.png)
,若存在
使得
成立,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12331fc70df3050ce71e5870580a1d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1a5f2533b8ea54b7022383f875666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798590f2d16bbe3572d78641f6f706f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知函数
.
(Ⅰ)若
,求曲线
在点
处的切线方程;
(Ⅱ)若
,
恒成立,求实数
的取值范围;
(Ⅲ)当
时,讨论函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e301a9fb58dbc7bdee0780d71f18d63d.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0546c519e87b50488f43ae9beb36f439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2017-03-13更新
|
187次组卷
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4卷引用:贵州省遵义市第四中学2017届高三下学期第一次月考(文)数学试题