1 . 已知函数
,且
在
上的最小值为0.
(1)求实数
的取值范围;
(2)设函数
在区间
上的导函数为
,若
对任意实数
恒成立,则称函数
在区间
上具有性质
.
(i)求证:函数
在
上具有性质
;
(ii)记
,其中
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55386df48bce6389f5ea9dd827b2600d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d65bdc820ab87b9a7909d2be591abec.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b81a631c1fcd5fa6986baca8c7f754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277a2bf55ddf8cf07f22b2128712e2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08653fc03ff2c4ccaf3ab8b18474ee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b81a631c1fcd5fa6986baca8c7f754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(i)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9626dc41063c34f4243b5a637668b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(ii)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88209b9c5c9503721afc5696b8943a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2f05512a14030b8a9cd9c118ed962f.png)
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解题方法
2 . 已知函数
和
的定义域分别是A和B,若函数
和
同时满足下列两个条件:
①对任意的
,都有
或对任意的
,都有
;
②存在
,使得
.
则称
和
互为“依偎函数”,记作
,其中,
叫做“依偎点”.
(1)是否存在
有无数个“依偎点”?若存在,请举例说明;若不存在,请说明理由;
(2)若函数
,
,是否存在k,使得
如果存在,求出k的值;如果不存在,请说明理由;
(3)求证:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
①对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a479511a50da604b2fc7398617db8387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4955c5adc717b7f6f0b975e0724ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a479511a50da604b2fc7398617db8387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18165b24e85935b2d036eb6ba4aa0125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099adf32792e7334032a80084e0cb584.png)
则称
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0e49c46c9fb222376736229da4e80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(1)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0e49c46c9fb222376736229da4e80b.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacd6155ac43dbd8aa73d03740c24af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a49b0d7aedc593a3e87fbab7c31ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f084386fd408381964398bf8c907a7.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a487acd081800a523a236a1337261e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
您最近一年使用:0次
2024-04-23更新
|
321次组卷
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2卷引用:江苏省南京市南京师范大学附属中学2023-2024学年高二下学期期中考试数学试卷
3 . 已知
,函数
,
.
(1)若
,证明:
;
(2)若
,求a的取值范围;
(3)设集合
,对于正整数m,集合
,记
中元素的个数为
,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3160b9be44c54316052f041560cecc69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04515cee3fcef6932e8406ed1001abcb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72008f2a394cb8acebda60eb2adf1e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e569d0cbe874f4d901bd4297477168f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56d0b0492845664363cba7370d1c971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c320a0619c63a5b650a1a94c0a5679.png)
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解题方法
4 . 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
|
2194次组卷
|
5卷引用: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
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(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
名校
解题方法
5 . 悬链线的原理运用于悬索桥、架空电缆、双曲拱桥、拱坝等工程.通过适当建立坐标系,悬链线可为双曲余弦函数
的图象,类比三角函数的三种性质:①平方关系:①
,②和角公式:
,③导数:
定义双曲正弦函数
.
(1)直接写出
,
具有的类似①、②、③的三种性质(不需要证明);
(2)若当
时,
恒成立,求实数a的取值范围;
(3)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bb273b5a350968453b96f948fcded4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af7ca3fcd9a43d520ed650b80ef2dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089d529ef22e4f75f91a4657dedcaf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4d4c6c322c65c32e15cf2ad012560a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2cb91e9953f005f9d72f892466b8fd2.png)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b8f5a1a76374ad5712b4ecafb64b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0379c458448d37a46ae0d25e65ab6258.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9957a339be7094158adb4b156a31d40.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1e3e51b8ae3bebb72439b409ee6b96.png)
您最近一年使用:0次
2024-01-27更新
|
2026次组卷
|
7卷引用:江苏省常州高级中学2023-2024学年高二下学期第一次调研考试数学试题
江苏省常州高级中学2023-2024学年高二下学期第一次调研考试数学试题云南省昆明市第一中学2024届高三上学期第六次考前基础强化数学试题2024届高三新改革适应性模拟测试数学试卷一(九省联考题型)浙江省湖州市第一中学2024届高三下学期新高考数学模拟试题(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)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2024届山西省平遥县第二中学校高三冲刺调研押题卷数学(二)
名校
6 . 定义函数
.
(1)求曲线
在
处的切线斜率;
(2)若
对任意
恒成立,求k的取值范围;
(3)讨论函数
的零点个数,并判断
是否有最小值.若
有最小值m﹐证明:
;若
没有最小值,说明理由.
(注:
…是自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499fb4d972a3f0fe389b533aa342dc72.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84153925db492238052d0baf65ae0abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cecbba960d24990f19054c9ec35d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(3)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89220eb96a4757f2988362bc04e80c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89220eb96a4757f2988362bc04e80c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89220eb96a4757f2988362bc04e80c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66fd6dda73649dcd9df1ed271b77ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89220eb96a4757f2988362bc04e80c9.png)
(注:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405dfcca25b76af059fb4c308983eae.png)
您最近一年使用:0次
2023-12-19更新
|
1048次组卷
|
5卷引用:江苏省扬州市扬州中学2024届高三上学期1月阶段性检测数学试题
江苏省扬州市扬州中学2024届高三上学期1月阶段性检测数学试题江苏省镇江市丹阳高级中学2024届高三下学期2月阶段检测数学试题山东省名校考试联盟2024届高三上学期12月阶段性检测数学试题(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22 新高考新题型第19题新定义压轴解答题归纳(9大核心考点)(讲义)
名校
解题方法
7 . 我国南北朝时期的数学家祖冲之(公元429年-500年)计算出圆周率的精确度记录在世界保持了千年之久,德国数学家鲁道夫(公元1540年-1610年)用一生精力计算出了圆周率的35位小数,随着科技的进步,一些常数的精确度不断被刷新.例如:我们很容易能利用计算器得出函数
的零点
的近似值,为了实际应用,本题中取
的值为-0.57.哈三中毕业生创办的仓储型物流公司建造了占地面积足够大的仓库,内部建造了一条智能运货总干线
,其在已经建立的直角坐标系中的函数解析式为
,其在
处的切线为
,现计划再建一条总干线
,其中m为待定的常数.
注明:本题中计算的最终结果均用数字表示.
(1)求出
的直线方程,并且证明:在直角坐标系中,智能运货总干线
上的点不在直线
的上方;
(2)在直角坐标系中,设直线
,计划将仓库中直线
与
之间的部分设为隔离区,两条运货总干线
、
分别在各自的区域内,即曲线
上的点不能越过直线
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac814388508dc7b9c8540daa5b2f4ed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b4e7dfbde0ae0a87f234a7a762f0b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f559ab6b3e37fa29cfe0620f9885d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1971b598c1482b011e71efa3c48a6c.png)
注明:本题中计算的最终结果均用数字表示.
(1)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
(2)在直角坐标系中,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec01a64b41c7c6fd705be73fbea4aaa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbd49bf20f987c05b4d36e31549075c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbd49bf20f987c05b4d36e31549075c.png)
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2023-03-30更新
|
1250次组卷
|
6卷引用:江苏省扬州中学2023届高三下学期5月适应性考试数学试题
名校
8 . 已知函数
和
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)求
在
处的切线方程;
(2)若当
时,
恒成立,求
的取值范围;
(3)若
与
有相同的最小值.
①求出
;
②证明:存在实数
,使得
和
共有三个不同的根
、
、
,且
、
、
依次成等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d210070cc28a32cd9c3e848e195726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952a0cde9449eef7c5f11385c7432e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00d47ef1d331094530990ffe38e1d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
①求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②证明:存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7aec235f9df6700f3cbc89c8bcecb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8ad137a5bf6b24e0dd8dff417c31cc.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/d79fc0ce080b8ad8b63ba63259c680b6.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
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2023-01-10更新
|
899次组卷
|
3卷引用:江苏省南京市宁海中学2022-2023学年高三下学期二月检测数学试题
江苏省南京市宁海中学2022-2023学年高三下学期二月检测数学试题天津市滨海新区塘沽第一中学2022-2023学年高三上学期期末数学试题(已下线)江苏省南京市六校联合体2023-2024学年高三上学期11月期中数学试题变式题19-22
解题方法
9 . 中国是纸的故乡,折纸也是起源于中国.后来数学家将几何学原理运用到折纸中,并且利用折纸来研究几何学,很好的把折纸艺术与数学相结合.将一张纸片折叠一次,纸片上会留下一条折痕,如果在纸片上按照一定的规律折出很多折痕后,纸上能显现出一条漂亮曲线的轮廓.如图,一张圆形纸片的圆心为点D,A是圆外的一个定点,P是圆D上任意一点,把纸片折叠使得点A与P重合,然后展平纸片,折痕与直线DP相交于点Q,当点P在圆上运动时,得到点Q的轨迹.
(1)证明:点Q的轨迹是双曲线;
(2)设定点A坐标为
,纸片圆的边界方程为
.若点
位于(1)中所描述的双曲线上,过点M的直线l交该双曲线的渐近线于E,F两点,且点E,F位于y轴右侧,O为坐标原点,求
面积的最小值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/1/45200301-744c-4784-a52d-8a5e4268a2b3.png?resizew=153)
(1)证明:点Q的轨迹是双曲线;
(2)设定点A坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2572ee7766efafc1c50eb798dc7c1a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc44797d05f315cb4ae3967ec32262a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14aeac55d519010de23642ac22cfb0b.png)
您最近一年使用:0次
解题方法
10 . 已知函数
(
为非零常数),记
,
.
(1)当
时,
恒成立,求实数
的最大值;
(2)当
时,设
,对任意的
,当
时,
取得最小值,证明:
且所有点
在一条定直线上;
(3)若函数
,
,
都存在极小值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4187aadeb68df93870c9e416ad7244c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7708ba23f01d33c69df8ea236c876f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b8ae9ec829851d83bfb73429ee8009.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe24ccc3dd4dbadd2f757cf7b7a44a6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b43f4c5b17fb428231e2958c36404b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4836fe2c858dbfaa6baeaf7e50a24cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9acaba1f9b687c7cdd4cf9924f19047f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d413c25f6271c3b97a668dc47b8d7de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104b081cfbc9120b476831c79a749c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548636534994cd465dfc7bf7dd41505b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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