名校
解题方法
1 . 设函数
,曲线
在原点处的切线为x轴,
(1)求a的值;
(2)求方程
的解;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdb851dc97c4ad46840967fb55d737f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)求a的值;
(2)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0884469ef5f3e6ad7acaae339ab0d69.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e083f90a56a3c783b7c12ba77aae0ade.png)
您最近一年使用:0次
2 . 已知函数
.
(1)若
时,函数
有2个极值点,求
的取值范围;
(2)若
,
,方程
有几个解?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd5d894cf062351f780fbe4369cea7a.png)
(1)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/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ff4b5cce546fb285ab03ced957ce41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515f88ff8fa1cad560307bd2b2e13fcb.png)
您最近一年使用:0次
解题方法
3 . 已知函数
与函数
有相同的极值点与极值.
(1)求a,b;
(2)若方程
与
分别有两个解p,q(
)和r,s(
).
①分别用p,q表示出r,s;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7275d5d8dc96e8f717905b3b829917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477bdd62660801ac1dfa2d60ba333cd6.png)
(1)求a,b;
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2818807dce7e9ec5514de572c3cc644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4610754dff007c541aa4887d8705329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25109e1cbcdb7f8cedd0422525a1cdb.png)
①分别用p,q表示出r,s;
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2c12355c99c2e113b23e748b768eaf.png)
您最近一年使用:0次
4 . 已知曲线
在点
处的切线方程为
.
(1)求a,c的值;
(2)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7823aa2ac66c00ce0f260f3147eb6a.png)
(3)若关于x的方程
有两个实数解
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e34dc94a3d9dc4677f75e0aac8e98da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96f623802cd414e590247155ad0d62b.png)
(1)求a,c的值;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7823aa2ac66c00ce0f260f3147eb6a.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5809a06357f94fc7a2156c7e7af1ed2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c9639ad329a88d242c2d6f37d7c456.png)
您最近一年使用:0次
2023-04-03更新
|
298次组卷
|
2卷引用:湖北省咸宁市鄂南高级中学2022-2023学年高二下学期阶段性检测(9)数学试题
解题方法
5 . 已知函数
.
(1)若
,求方程
的解;
(2)若
有两个零点且有两个极值点,记两个极值点为
,求
的取值范围并证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6fcc141688e104bfeba4b866d7873e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9694eaaa274ed8e3774a100aff5f101.png)
您最近一年使用:0次
2023-03-26更新
|
1594次组卷
|
5卷引用:浙江省温州市普通高中2023届高三下学期3月第二次适应性考试数学试题
浙江省温州市普通高中2023届高三下学期3月第二次适应性考试数学试题(已下线)专题07 导数(已下线)专题06 函数与导数(已下线)专题19 押全国卷(理科)第21题 导数福建省三明市优质高中校2022-2023学年高二下学期期中联考数学试题
6 . 已知
,
(1)当
时,求函数
在点
处的切线方程;
(2)当
时,求函数
的单调区间;
(3)当
时,方程
在区间
内有唯一实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed99d4c101cf81761402a2e34b3fca5.png)
(1)当
![](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)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45771f0bf8148df998a7d4c47aae6092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9a3b952c78347f2dff530df17a175a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf613d5ed2a4b75ee70638f28fd9f44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7 . 已知函数
,
.
(1)求函数
的单调区间;
(2)已知关于x的方程
有两个解
,
①求实数
的取值范围;
②若
为正实数,当
时,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7566bbe8011ce54fae8546a78fde28ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ee951a0fcd74af6c88794132d0b553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df7ea8007570536864a5cf4b00a8d2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96accda75e24228e61273890a61ca9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
8 . 已知函数
.
(1)当
时,求函数
的极值;
(2)若关于x的方程
在
无实数解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3021befc8618d74375b2eadba940f07c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb95fe8ab68d221c70acdee5451cc73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
您最近一年使用:0次
2022-09-14更新
|
993次组卷
|
9卷引用:江西省上饶市第一中学2022届高三5月模拟考试数学(文)试题
江西省上饶市第一中学2022届高三5月模拟考试数学(文)试题(已下线)第12节 导数的综合应用(已下线)专题10导数与函数的极值、最值-2022年新高三数学暑假自学课精讲精练(已下线)4.3 利用导数求极值最值(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)第15讲:第三章 一元函数的导数及其应用(测)(基础卷)-2023年高考数学一轮复习讲练测(新教材新高考)天津市南开中学2023届高三上学期统练2数学试题四川省仁寿县文宫中学2022-2023学年高三9月月考数学(文)试题宁夏银川一中2023届高三上学期第二次月考数学(文)试题黑龙江哈尔滨工业大学附属中学校 2021-2022学年高二下学期期末理科数学试题
名校
9 . 已知
,其中
.
(1)当
时,分别求
和
时
的单调性;
(2)求证:当
时,
有唯一实数解
;
(3)若对任意的
,
都有
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae1d5e1ae68c2c1f7b46f65263c3c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab958eede2dbad749ba70bb230c88fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-02-04更新
|
725次组卷
|
2卷引用:江苏省常州市华罗庚中学2022届高三下学期3月模拟数学试题
名校
10 . 已知函数
在
处取得极值0.
(1)求实数
,
的值;
(2)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;
(3)设函数
,若
,
总有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6e61b90d7619c3339bc67923cb270c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)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)
(3)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/bd4353be42bf2da4179a7ff9e2de70d4.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
2022-11-10更新
|
547次组卷
|
3卷引用:天津市部分区2022-2023学年高三上学期期中数学试题