名校
1 . 若
,设
的零点分别为
,
,…,
,则n=_______________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907f92dfdd6bbe696b695cf471c68f1e.png)
_______________ .(其中
为a向上取整,例如:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f1bbc0d46686c6ca96cf2246c8c2fc.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/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907f92dfdd6bbe696b695cf471c68f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0306c8a9b082d56b04c967093ddf256a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac34cb60f3741fe82af6767a7df7b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcc93b32bccf6f1331a499168391bea.png)
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2023-04-30更新
|
533次组卷
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3卷引用:第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)
(已下线)第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)2023年新老高考过渡省份适应性联考数学试题新疆乌鲁木齐市兵团二中2024届高三上学期第四次月考数学试题
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解题方法
2 . 已知函数
恰有两个零点
,
和一个极大值点
,且
,
,
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b029ff1ec707abd0d2a14b9a3d4c2082.png)
__________ ;若
的解集为
,则
的极大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b269dce1ae3396d2afc82a91dc6f97ba.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/90aa505e4e41dd4becc7e55d2e938f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b029ff1ec707abd0d2a14b9a3d4c2082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85db4f72795b4a150a734d835ffbd913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c253ea436c94f88bd5a3ddb799ef30ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2022-10-11更新
|
1113次组卷
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5卷引用:广东省佛山市南海区石门中学2022-2023学年高二下学期第一次质量检测数学试题
3 . 已知函数
有两个零点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
________
(填大于或小于号),实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b526c857bb86d48793b88199a32ecb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知函数
(
),若函数
的极值为0,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ ;若函数
有且仅有四个不同的零点,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f3ad70b1a7861dd1d0325d3b808a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594663e98b797cdc4efbd098cc15854f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed4f8de915199a8b08ea2d67eef36e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-05-20更新
|
766次组卷
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4卷引用:吉林省吉林市第一中学2021-2022学年高二6月月考数学试题(理科创新班)
吉林省吉林市第一中学2021-2022学年高二6月月考数学试题(理科创新班)(已下线)第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)湖南省衡阳市2022届高三下学期三模数学试题(已下线)山东省济南市2022届高三二模数学试题变式题11-16
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5 . 已知函数
,则函数
的最小值为___________ ;若关于x的方程
有且仅有一个实根,则实数a的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec2c8e9393ba912b68d1b72f64ca9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa48a5a96ea5b1a51d99cf233937a68.png)
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2022-05-08更新
|
1467次组卷
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5卷引用:福建省厦门第一中学2021-2022学年高二6月适应性练习数学试题
福建省厦门第一中学2021-2022学年高二6月适应性练习数学试题(已下线)第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)山东省济南市2022届高三二模数学试题(已下线)山东省济南市2022届高三二模数学试题变式题11-16(已下线)专题12 导数的综合问题(过关集训)
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6 . 已知函数
,若存在实数
使得
,则
的取值范围是___________ ;若
,则
的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae53a7bac4c0efc58f49ce8963d2033d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/581e1fd6cef0f01367251c3f323085b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e8b230513c1934f2c29bb19b54d4c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfa99136d0bb3533d85d1cb9a308ad4.png)
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2022-01-04更新
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990次组卷
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4卷引用:黑龙江省佳木斯市第十二中学2021-2022学年高二下学期期末考试数学试题
黑龙江省佳木斯市第十二中学2021-2022学年高二下学期期末考试数学试题黑龙江省哈尔滨市第三中学2021-2022学年高三第四次验收考试数学(理科)试题(已下线)专题3-4 超难压轴小题:导数和函数归类(1)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)专题5 指数对数同构问题(过关集训)(压轴题大全)
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7 . 已知
,则其函数的图像恒过点_______ ,若
的图象与x轴的交点为
,且在点P处的切线l在y轴上的截距为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b967c5854913fd51bfec8d9c9a323dc7.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d527506c5ef0862d5392c9a6945916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc56145a8d4d88a63dcb649bc374e35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9b882323edba16b3625458239b6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56718b32e9b8d00c18499042bbe8a69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b967c5854913fd51bfec8d9c9a323dc7.png)
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2021-08-09更新
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608次组卷
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3卷引用:江苏省苏州市相城区陆慕高级中学2020-2021学年高二下学期5月月考数学试题
8 . 设
,
,
,将
的最小值记为
.则当
是偶数时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
__________ ;当
是奇数时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8ae469587300aece24a0599a630c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ff741c0506b0619fe6c7b1990013af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
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