名校
1 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72767ef7b2aee1d584c52ffe2007dfd0.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.对于![]() |
您最近一年使用:0次
2024-04-12更新
|
587次组卷
|
3卷引用:模块2 专题4 泰勒公式 巧解压轴 练
解题方法
2 . 函数
图像与
轴的两交点为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b67a988eee36733f064546a4b232092.png)
(1)令
,若
有两个零点,求实数
的取值范围;
(2)证明:
;
(3)证明:当
时,以
为直径的圆与直线
恒有公共点.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c80e4cb0344c6e0c4541e86c5fb08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b67a988eee36733f064546a4b232092.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9113131c37fe929112eab275820a1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b725fdc8de9800f2692f6fea8585b1e9.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87ecc31822d729a45488d803fff4e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feac29c5d1c1bc3e6dd5ad931fbd332b.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3dcd81aeafbda57f23cdc852ab6c35a.png)
您最近一年使用:0次
名校
3 . 有一种速度叫“中国速度”,“中国速度”正在刷新世界对中国高铁的认知.由于地形等原因,在修建高铁、公路、桥隧等基建中,我们常用曲线的曲率(Curvature)来刻画路线弯曲度.如图所示的光滑曲线
上的曲线段AB,设其弧长为
,曲线
在A,B两点处的切线分别为
,记
的夹角为
,定义
为曲线段
的平均曲率,定义
为曲线
在其上一点
处的曲率.(其中
为
的导函数,
为
的导函数)
,求
;
(2)记圆
上圆心角为
的圆弧的平均曲率为
.
①求
的值;
②设函数
,若方程
有两个不相等的实数根
,证明:
,其中
为自然对数的底数,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505d83f4d34a8cd385577a6ce93a4b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce7ade05e42f9c1da2f91b2443b2446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce7ade05e42f9c1da2f91b2443b2446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e760f365b9cf2648fcad0c4f451e05f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb01270362284437d082c3a2268c6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f475f4bce7d71be088fd47d41cbff01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eefffa1689b5a68786b9a5875f12c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17375498fcd71a15ba331cdbab76fc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b20a352df783ea2dbb99141d54c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0217a4e289f6c0474dcb53ce269951fd.png)
(2)记圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825da58f048008f2093a9baf4bdb4a1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4c693f16c394f189d66a418bd77e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e7b6fd9374fc5c34bc1e2df196e5a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76a698f82a67daf3d1881193fe2c820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
您最近一年使用:0次
解题方法
4 . 记
,若
,满足:对任意
,均有
,则称
为函数
在
上“最接近”直线.已知函数
.
(1)若
,证明:对任意
;
(2)若
,证明:
在
上的“最接近”直线为:
,其中
且为二次方程
的根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdddd6c3c0c0ef2c14c4ea7faf24e99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699c5155f154bef4a75eb53a03f4291e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8908859073a35ccb07b25eb07d468185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf32da3779e82f7858c1f3c27a90dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc7121983d4ca0e328501601248eceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a1a493b667a18e55b835d2bd03ca4a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a40212b2b62489822575bf09e68ac8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92e918a76d99d245938076492d72f80.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d2168d7265787aa0eb475f56e3b32f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c4b7add471e5d031b98f7c1fc71f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155c7f573e898da225390202da1767e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9db16ab44b10eef1c151383757712.png)
您最近一年使用:0次
名校
解题方法
5 . 微积分的创立是数学发展中的里程碑,它的发展和广泛应用开创了向近代数学过渡的新时期,为研究变量和函数提供了重要的方法和手段.对于函数
在区间
上的图像连续不断,从几何上看,定积分
便是由直线
和曲线
所围成的区域(称为曲边梯形
)的面积,根据微积分基本定理可得
,因为曲边梯形
的面积小于梯形
的面积,即
,代入数据,进一步可以推导出不等式:
.
;
(2)已知函数
,其中
.
①证明:对任意两个不相等的正数
,曲线
在
和
处的切线均不重合;
②当
时,若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78e5de9b684beb1bafc89efd5af8b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644ba16341e356b57ea153e840555290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb9e8df0db7e14434837c5ad77f27e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe83f1ae7e5f05d8bed6bf6f42db0e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e02b3995488ad13babd4eeb6f99c40e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe83f1ae7e5f05d8bed6bf6f42db0e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe83f1ae7e5f05d8bed6bf6f42db0e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b601337ff73bafe04fc3e40d0061fddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef73511ddedc2ab4b5bf17500554971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422f124d4c171787c292326b1d1c655c.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6c7daa90a08a84c1fe48d29ffe86e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe52e15d70c4355d101d333f8e6dc258.png)
①证明:对任意两个不相等的正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24a2c53e3b0b1c08803e95419f909d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecaca8409b3f51d22667a14559c58ea4.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86304c3e26200299a0480641525a283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d64909edca036b1463f214d977604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-13更新
|
1689次组卷
|
6卷引用:湖北省七市州2024届高三下学期3月联合统一调研测试数学试题变式题16-19
(已下线)湖北省七市州2024届高三下学期3月联合统一调研测试数学试题变式题16-19湖北省七市州2024届高三下学期3月联合统一调研测试数学试题安徽省淮南第二中学2023-2024学年高二下学期期中教学检测数学试题湖南省长沙市周南中学2024 届高三下学期第二次模拟考试数学试题甘肃省兰州市2024届高三下学期三模数学试题河北省正定中学2024届高三三轮复习模拟试题数学(二)
名校
解题方法
6 . 若
,都存在唯一的实数
,使得
,则称函数
存在“源数列”
.已知
.
(1)证明:
存在源数列;
(2)(ⅰ)若
恒成立,求
的取值范围;
(ⅱ)记
的源数列为
,证明:
前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72620c113a6fe83273803a9ac24baa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a038de5f1ce88d3baa95c2fd30abf7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e8b81696639769354c282560245f0b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)(ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d5aa1a74419f1557aae998dbdadf87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(ⅱ)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773bccec5a6fe68146daa59088db27d8.png)
您最近一年使用:0次
2024-03-12更新
|
2207次组卷
|
5卷引用:湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题16-19
(已下线)湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题16-19福建省厦门市2024届高三下学期第二次质量检测数学试题山东省泰安市第一中学2023-2024学年高二下学期3月月考数学试题辽宁省沈阳市第二中学2023-2024学年下学期期中考试数学试卷 江苏省南通市2024届高三高考考前押题卷(最后一卷)数学试题
7 . 若过点
可作曲线
的n条切线
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ab948e5df77b57035f6b2717700858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2512c1f02995f149ed8ded9e118895.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.过![]() ![]() |
您最近一年使用:0次
名校
8 . 多元导数在微积分学中有重要的应用.设
是由
,
,
…等多个自变量唯一确定的因变量,则当
变化为
时,
变化为
,记
为
对
的导数,其符号为
.和一般导数一样,若在
上,已知
,则
随着
的增大而增大;反之,已知
,则
随着
的增大而减小.多元导数除满足一般分式的运算性质外,还具有下列性质:①可加性:
;②乘法法则:
;③除法法则:
;④复合法则:
.记
.(
为自然对数的底数),
(1)写出
和
的表达式;
(2)已知方程
有两实根
,
.
①求出
的取值范围;
②证明
,并写出
随
的变化趋势.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9265c54f2a96bf290388484cfd0ff47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c75f7dcce2b59c10237868c6715ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c137b971df3492a2001085d98706801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1343590f4aaf6b9e3f3c200e318bfea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43887f94250f6c073e144f2ae39b3021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8baf79cfbc5cc29029ca66632c20775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf1c89ff75dc38ce474a01c4932f8c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff01089fbfd66ae3411b15e54f7a9120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef134baac9bb96324f585c5e532cbefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09df69561e70f6d8a66d32f7ffa8a60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272a7f552e7d99ab3756c1d4e64fc355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9e8e03d12633cfe6858b8c85047100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d6ee0cf2632c76087f5bce01358ef8.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b0e3a7c0dc3c1143610f60a0fd884f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1343590f4aaf6b9e3f3c200e318bfea0.png)
(2)已知方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18df306af443a02bf538cfc517d4a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-21更新
|
1089次组卷
|
3卷引用:微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编
(已下线)微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编广东省广州市华南师范大学附属中学2024届高三上学期数学周测试题(12)江苏省海安高级中学2023-2024学年高二下学期第二次月考数学试题
名校
9 . 在几何学常常需要考虑曲线的弯曲程度,为此我们需要刻画曲线的弯曲程度.考察如图所示的光滑曲线C:
上的曲线段
,其弧长为
,当动点从A沿曲线段
运动到B点时,A点的切线
也随着转动到B点的切线
,记这两条切线之间的夹角为
(它等于
的倾斜角与
的倾斜角之差).显然,当弧长固定时,夹角越大,曲线的弯曲程度就越大;当夹角固定时,弧长越小则弯曲程度越大,因此可以定义
为曲线段
的平均曲率;显然当B越接近A,即
越小,K就越能精确刻画曲线C在点A处的弯曲程度,因此定义
(若极限存在)为曲线C在点A处的曲率.(其中y',y''分别表示
在点A处的一阶、二阶导数)
(2)求椭圆
在
处的曲率;
(3)定义
为曲线
的“柯西曲率”.已知在曲线
上存在两点
和
,且P,Q处的“柯西曲率”相同,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505d83f4d34a8cd385577a6ce93a4b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea61ddc41f927684c6dfaacdd7f8e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0636a11a086df66133bd50e43481a546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427eceadd7bb569ff140ea73d650db1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0636a11a086df66133bd50e43481a546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea61ddc41f927684c6dfaacdd7f8e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92877ce3543f19dc565dbeff9777ecc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505d83f4d34a8cd385577a6ce93a4b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a6ffded1e8b3dd5ef03b57aa2beacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
(2)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a345c0ab9bc098efa03e17ea556fcb.png)
(3)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117c39fe1b37a6862ad0e46282488210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6004e46d022f4976a52dc949691da232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75def50794f0b3c42765b1e43334fcd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0cc87bade827b694da4e6e5c020eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7add187842d3ee824ed3a501f392735f.png)
您最近一年使用:0次
2024-01-29更新
|
3115次组卷
|
9卷引用:压轴题函数与导数新定义题(九省联考第19题模式)练
(已下线)压轴题函数与导数新定义题(九省联考第19题模式)练(已下线)新题型01 新高考新结构二十一大考点汇总-3(已下线)微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编(已下线)拔高点突破05 函数与导数背景下的新定义压轴解答题(九大题型)浙江省宁波市镇海中学2024届高三上学期期末数学试题湖北省武汉市武钢三中2024届高三下学期开学考试数学试题(已下线)第四套 九省联考全真模拟湖南省长沙外国语学校2023-2024学年高二下学期3月月考数学试题山东省菏泽市定陶区第一中学2023-2024学年高二下学期第一次月考数学试题
名校
10 . 黎曼猜想是解析数论里的一个重要猜想,它被很多数学家视为是最重要的数学猜想之一.它与函数
(
,s为常数)密切相关,请解决下列问题.
(1)当
时,讨论
的单调性;
(2)当
时;
①证明
有唯一极值点;
②记
的唯一极值点为
,讨论
的单调性,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755d78f27a96bf14b96dff9913851df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b862659eee15ac003d2d2c53d9abbf5c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b366d99460274e9ab2187c11af8a6372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f15bcd4917a74ec6f505f0e10833a7f.png)
①证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
②记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010dec4fc2df0b58992eb4515cd13eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010dec4fc2df0b58992eb4515cd13eff.png)
您最近一年使用:0次
2024-01-15更新
|
2880次组卷
|
9卷引用:微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编
(已下线)微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编(已下线)专题2 导数与函数的极值、最值【练】2024届广东省惠州市大亚湾区普通高中毕业年级联合模拟考试(一)数学试卷2024届广东省大湾区普通高中毕业年级联合模拟考试(一)数学试题湖南省长沙市长郡中学2024届高三一模数学试题天津市第一中学滨海学校2024届高三第六次学业水平质量调查数学试卷(开学考)吉林省通化市梅河口市第五中学2024届高三下学期一模数学试题辽宁省锦州市某校2023-2024学年高三下学期考前测试数学试卷(A)河南省信阳市新县高级中学2024届高三考前第七次适应性考试数学试题