名校
解题方法
1 . 若函数
的极小值小于0,则实数a的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e094cb08200ab3a4b73e233bae8c8942.png)
您最近一年使用:0次
解题方法
2 . 已知函数
,曲线
在点
处的切线斜率为0.
(1)求b的值;
(2)若函数
的极大值为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a6195fe04254535cb21bcde2a6effd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(1)求b的值;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0018d53b2ae0c34e9f1d51d339b90a2f.png)
您最近一年使用:0次
2022-04-21更新
|
511次组卷
|
2卷引用:云南省西双版纳州2022届高三高中毕业班第二次适应性测试数学(文)试题
3 . 已知函数
.
(1)设
是
的极值点,求
的单调区间;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c8fb5c4cdaa23dd7e15b0669dc66c7.png)
(1)设
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe45993e6bd636a4f34886bb3d72f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640f98734521993747bb2146b33fbcb3.png)
您最近一年使用:0次
2022-02-22更新
|
578次组卷
|
5卷引用:云南省昭通市2022届高三期末数学(文)试题
云南省昭通市2022届高三期末数学(文)试题云南省昭通市2022届高三期末数学(理)试题云南省昭通市2022届高三毕业诊断性检测数学(文)试题云南省昭通市2022届高三毕业诊断性检测数学(理)试题(已下线)第08讲 利用导数研究函数的极值与最值 (核心考点讲与练)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)
4 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9411a8e55412678dfe6374b1a46650dd.png)
,若
的两个极值点分别为
,
,且满足
.
(1)求实数
的值;
(2)若函数
有三个零点,求证:
的所有零点的绝对值都小于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9411a8e55412678dfe6374b1a46650dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31f11bc5048e6554f9afedba30fd973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/1342b72ade171ff7d81d88c55cf37b04.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,曲线
在点
处的切线方程为
.
(1)求实数
、
的值;
(2)令
,函数
的极大值与极小值之差等于
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fd41c93873c964aa0d42901d4b57cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e453ea9b9733daad68a560e98947ba50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9044178b68d308950f390623b74aabb.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4710fa62ebb2fdedeecc2920011a2201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-05-13更新
|
839次组卷
|
3卷引用:云南省昆明市2021届高三三模数学(文)试题
解题方法
6 . 已知函数
在
与
处都取得极值.
(1)求
的值及函数
的单调区间;
(2)若对
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85c702b631487cf6cedd9eeb9d3affc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589a4d5f5fb135a3144644595774b896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2600a54b7bf3f79aaec7d49a47f6b4d2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15bd315b801f71bc30b8d772098614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4742818c326e3652c648506a0dc6ef5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b930e8d1a758d78e0f0c8e03cb4e58a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2022-01-14更新
|
404次组卷
|
2卷引用:云南省丽江市2018-2019学年高二下学期期末教学质量监测数学(文)试题
7 . 已知函数
.
(1)若
是
的极值点,求
的值,并求
的单调区间;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea98ad0599bec3333d65b9b78cc3783c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50fb82517638c177ab2ecb830b29da3f.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,
,
,且
的最小值为0.
(1)若
的极大值为
,求
的单调减区间;
(2)若
,
的是
的两个极值点,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd125568cf7100a22c4ec73698f7474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90e8d5d7fed033f48270b1ff825fcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8806602a7954aa6a067d8c6aed8e239f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2349e3509799b01ce88ce91a0d7dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c72cdf3b7f15f2b775e80ac15de403.png)
您最近一年使用:0次
2020-06-15更新
|
3799次组卷
|
4卷引用:云南省昆明市第一中学2020届高三考前第九次适应性训练数学(理)试题
云南省昆明市第一中学2020届高三考前第九次适应性训练数学(理)试题(已下线)专题21 函数与导数综合-2020年高考数学(理)母题题源解密(全国Ⅲ专版)(已下线)极值点偏移专题08极值点偏移的终极套路新疆维吾尔自治区乌鲁木齐市第四十中学2024届高三上学期11月月考数学试题
名校
解题方法
9 . 已知函数
.
(Ⅰ)若
是
的极值点,确定
的值;
(Ⅱ)当
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde45f8f608ceca72814b7a2cd80c00e.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.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
2020-03-16更新
|
411次组卷
|
6卷引用:2020届云南省陆良县高三毕业班第二次教学质量摸底考试数学(理)试题
名校
解题方法
10 . 已知函数
.
(1)若
在
处取得极值,求
的值;
(2)求函数
在
上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42797bffdf375705c3d7d5c79ee5b729.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d408877ca63277df22f936ee2bc7eb3.png)
您最近一年使用:0次
2020-09-16更新
|
405次组卷
|
4卷引用:云南省曲靖市宣威市2019-2020学年高二下学期期末数学(文科)试题