真题
解题方法
1 . 已知函数
.
(1)求曲线
在
处的切线斜率;
(2)求证:当
时,
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4448a22cc07e1bc43260287995bb03ea.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2484f4dc493a45dae01bb8d385ee14e5.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1f4ace0f62cdc9019329ca0a53fb8f.png)
您最近一年使用:0次
2023-06-08更新
|
13279次组卷
|
15卷引用:2023年天津高考数学真题
2023年天津高考数学真题专题02函数与导数(成品)(已下线)2023年天津高考数学真题变式题16-20(已下线)第3讲:利用导数研究不等式恒成立、能成立问题【练】 高三清北学霸150分晋级必备(已下线)模块四 第五讲:利用导数证明不等式【练】(已下线)考点20 导数的应用--不等式问题 2024届高考数学考点总动员(已下线)重难点06 导数必考压轴解答题全归类【十一大题型】(已下线)专题07 函数与导数常考压轴解答题(12大核心考点)(讲义)(已下线)专题09 函数与导数(分层练)(已下线)2.6 导数及其应用(优化问题、恒成立问题)(高考真题素材之十年高考)(已下线)专题22 导数解答题(理科)-3(已下线)专题22 导数解答题(文科)-3(已下线)专题9 利用放缩法证明不等式【讲】专题03导数及其应用专题13导数及其应用(第二部分)
真题
名校
2 . 如图,已知曲线
,曲线
,P是平面上一点,若存在过点P的直线与
都有公共点,则称P为“C1—C2型点”.
(1)在正确证明
的左焦点是“C1—C2型点”时,要使用一条过该焦点的直线,试写出一条这样的直线的方程(不要求验证);
(2)设直线
与
有公共点,求证
,进而证明原点不是“C1—C2型点”;
(3)求证:圆
内的点都不是“C1—C2型点”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f63dee0fb484e63eb3a8baebcdf46f1.png)
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571296931315712/1571296936722432/STEM/3ed6c0368dc94e10afd48a28c75e801f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/30/854d5f50-0404-48a2-ba83-49ad3c2727e1.png?resizew=168)
(1)在正确证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553288bc51ba6174dab2e0175d2df90a.png)
(3)求证:圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28123e129b6426c9a5f31ad8ec2465b.png)
您最近一年使用:0次
2019-01-30更新
|
2081次组卷
|
6卷引用:2013年全国普通高等学校招生统一考试理科数学(上海卷)
真题
3 . 在平面直角坐标系
中,对于直线
:
和点
记
若
<0,则称点
被直线
分隔.若曲线C与直线
没有公共点,且曲线C上存在点
被直线
分隔,则称直线
为曲线C的一条分隔线.
⑴求证:点
被直线
分隔;
⑵若直线
是曲线
的分隔线,求实数
的取值范围;
⑶动点M到点
的距离与到
轴的距离之积为1,设点M的轨迹为E,求
的方程,并证明
轴为曲线
的分割线.
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/146bc338f0cb4b9eac729e20a2d84c9d.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f6e1f67dc15c3cf135a78af95c70fe.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/4798c1132a6e4f51b43cf3f27e5e55d2.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d9dbc16d2f63153fdd7b4e612ebfd7.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/799cdc6ca82444bba6e38ded9e4f05a9.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/0ee6677792774e1f92376a3cc9cdcf04.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/d6ed1f43183149358b54022127d1376c.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
⑴求证:点
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/4db3073bd68f40a48ff1be5d04e1149e.png?resizew=137)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/fc8a60b8c323475fafee5e37ae437883.png?resizew=80)
⑵若直线
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/28005b52bdec46a5a73f547fec3b5fca.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/c336db074c384094989b4af9e793011f.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/1814601f310e4e1d8da6d2739f5a7de5.png?resizew=13)
⑶动点M到点
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/2b948a7ab1d644cdb681998277c3f8b3.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/f8696ed58b464e0193e6d72fe9643684.png?resizew=15)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/f8696ed58b464e0193e6d72fe9643684.png?resizew=15)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2019-01-30更新
|
2069次组卷
|
2卷引用:2014年全国普通高等学校招生统一考试理科数学(上海卷)
真题
4 . 已知集合
.给定数列
,和序列
,其中
,对数列
进行如下变换:将
的第
项均加1,其余项不变,得到的数列记作
;将
的第
项均加1,其余项不变,得到数列记作
;……;以此类推,得到
,简记为
.
(1)给定数列
和序列
,写出
;
(2)是否存在序列
,使得
为
,若存在,写出一个符合条件的
;若不存在,请说明理由;
(3)若数列
的各项均为正整数,且
为偶数,求证:“存在序列
,使得
的各项都相等”的充要条件为“
”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd62e1c433cfb342fcd7f334ccc968f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1039be74acc3366c11fae59651f85d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3fd26c26f6f07fabfa38eccf3d2fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89441a335677dbf88779bbb65c543375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcedacb9353214d02e5f6c7e693ac7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9353bc48a30bbf4d807d858c4604b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9353bc48a30bbf4d807d858c4604b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6995fd4ede4b441f54a1e0996447ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6caacfd319814df87257a1823d8e801c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7fbd87354b2529d4f0a155fad1b2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
(1)给定数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52596c7a4a85221a0edb36591bd6a9e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d9ec580a62b48148a48c711794a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
(2)是否存在序列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71d5d87042c71d41b61ee416d4f79724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a766e037468d9c6e4bade3de283ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666ba875a2642bbec1fdfcdab8e4e62d.png)
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5 . (1)证明:当
时,
;
(2)已知函数
,若
是
的极大值点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7552a9166b5242bc9bf777cc859c20a1.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b144bc49aebea25b699f42c532f65367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-06-07更新
|
33068次组卷
|
28卷引用:2023年新课标全国Ⅱ卷数学真题
2023年新课标全国Ⅱ卷数学真题(已下线)2023年高考数学真题完全解读(新高考Ⅱ卷)专题03导数及其应用(成品)专题03导数及其应用(添加试题分类成品)专题02函数与导数(成品)(已下线)2023年新课标全国Ⅱ卷数学真题变式题19-22(已下线)第03讲 极值与最值(练习)(已下线)第九章 导数与三角函数的联袂 专题二 导数法求含三角函数的函数极值与最值 微点2 导数法求含三角函数的函数极值与最值(二)(已下线)河南省信阳市信阳高级中学2024届高三一模数学试题(已下线)专题19 导数综合-1(已下线)第2讲:利用导数研究函数的性质【练】高三清北学霸150分晋级必备(已下线)第3讲:利用导数研究不等式恒成立、能成立问题【练】 高三清北学霸150分晋级必备(已下线)第4讲:利用导数研究函数的零点问题【练】 高三清北学霸150分晋级必备(已下线)模块四 第五讲:利用导数证明不等式【练】(已下线)导数及其应用(已下线)微考点2-4 导数与三角函数结合问题的研究(已下线)思想01 运用分类讨论的思想方法解题(5大题型)(练习)(已下线)重难点06 导数必考压轴解答题全归类【十一大题型】(已下线)专题07 函数与导数常考压轴解答题(12大核心考点)(讲义)(已下线)思想03 运用函数与方程的思想方法解题(4大核心考点)(讲义)(已下线)专题09 函数与导数(解密讲义)(已下线)2.6 导数及其应用(几何意义、单调性)(高考真题素材之十年高考)(已下线)专题22 导数解答题(文科)-1(已下线)专题22 导数解答题(理科)-2(已下线)专题04 高考导数大题真题精练(已下线)专题7 考前押题大猜想31-35(已下线)专题15 导数与三角函数联袂【讲】专题03导数及其应用
6 . 若A、B是抛物线
上的不同两点,弦
(不平行于y轴)的垂直平分线与x轴相交于点P,则称弦
是点P的一条“相关弦”.已知当
时,点
存在无穷多条“相关弦”.给定
.
(1)证明:点
的所有“相关弦”的中点的横坐标相同;
(2)试问:点
的“相关弦”的弦长中是否存在最大值?若存在,求其最大值(用
表示);若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924886b76c218169b2f4d00bb7e9563c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b042740af8a73f8add3ec9c586b4e540.png)
(1)证明:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9b882323edba16b3625458239b6f3.png)
(2)试问:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9b882323edba16b3625458239b6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
您最近一年使用:0次
真题
解题方法
7 . A是由定义在
上且满足如下条件的函数
组成的集合:①对任意的
,都有
;②存在常数
,使得对任意的
,都有
.
(1)设
,证明:
;
(2)设
,如果存在
,使得
,那么这样的
是唯一的;
(3)设
,任取
,令
,证明:给定正整数k,对任意的正整数p,不等式
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de71d25c72850e383a4c841eed0db99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4031c9cbbcbbecfc0a8ca5490647e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5d880d349c00a3f81f830bb35e1d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d03b29af4e3206af656a142d17657f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799650ddf5fb8e7c91cf59163aa1b7a4.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1dbdb8423d86a92629b081ae2b2154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cb6b97b664d70c3c3b9e2b88c80b1d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cb6b97b664d70c3c3b9e2b88c80b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0324fecb070287715e3e8f2322056922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5528f643fe7e0449e48c8f81b16b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cb6b97b664d70c3c3b9e2b88c80b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e599070e5874ed4a9478f5260b98e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0d7024ce3371628f09963f9a976ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dcca902b1982e13aeea5d094bb6016.png)
您最近一年使用:0次
8 . 已知数列
的项数均为m
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34919e3b413417f8fcc06fbfbca9bfe0.png)
的前n项和分别为
,并规定
.对于
,定义
,其中,
表示数集M中最大的数.
(1)若
,求
的值;
(2)若
,且
,求
;
(3)证明:存在
,满足
使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53fc8ddaa412b237ecb095cf1c65335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34919e3b413417f8fcc06fbfbca9bfe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b64f109cde567dc5750276a16a6b774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d230d1915653fb876373f882ca81b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd13665a47f5548727c599936b32dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2d6df455d7702a81bdbc86f17e8c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698f45c9ed5bb04924f1037107e76988.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc21f6a796961cc506633a4fe32563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd374d21bbdff3c6f8e69b557a86e2ce.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/295f2712a68800672db5c617713eedf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9de2f1a28584f093949cc0b854dfb3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a135cb036833400f3fa1edc92d5ce410.png)
(3)证明:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23a3f55b2eb456a65b9788574437678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363d7ed2c067c37fb1dfc5e2a50ba573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eedada19441233cfac2f4e4322cf85.png)
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2023-06-19更新
|
10479次组卷
|
19卷引用:2023年北京高考数学真题
2023年北京高考数学真题专题05数列(成品)(已下线)2023年北京高考数学真题变式题16-21北京十年真题专题06数列北京市丰台区第二中学2024届高三上学期开学考数学试题(已下线)专题05 等比数列与数列综合求和-2023-2024学年高二数学期末复习重难培优与单元检测(人教A版2019)北京市第八十中学2023-2024学年高三上学期10月月考数学试卷(已下线)数列新定义(已下线)专题6.1 等差数列及其前n项和【九大题型】(已下线)重难点10 数列的通项、求和及综合应用【九大题型】(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)(已下线)专题30 等比数列通项与前n项和(已下线)专题21 数列解答题(理科)-2(已下线)专题21 数列解答题(文科)-3(已下线)专题2 考前押题大猜想6-10专题06数列专题14数列(已下线)五年北京专题10数列(已下线)三年北京专题10数列
9 . 已知数列
满足
,
,并且
,
(
为非零参数,
).
(1)若
成等比数列,求参数
的值;
(2)当
时,证明:
;
(3)当
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad5eee51276c36c3b0ec5473504958a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6c7c4c02de4c67f60d31ed1139bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3706c8575b004154908c34c973feba03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4159df4d2540cc3909c26128314e82e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c77422a29ac2408a030888c50042c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ec0b97655e6bd7004df04457c493ac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc321d11e01d8b1ef4879278eb385f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323c36bb62b2165b80aa4d388901a086.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d8047f0a8bd0cf4e250cd0fe80093b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396c3d8c0d5b9d36dcfcde77865960d8.png)
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真题
解题方法
10 . 已知
,
,其中
,设
,
.
(1)写出
;
(2)证明:对任意的
,恒有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0201063518911954b565c33f4e6922b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef9a5c965598ea0f492ade8bf01f85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbc206aad9e1a0edfb2504e513d3a9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1497c9cb334ca9a1d7b817abb8034735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6645a5979b3436efdf7d76210d060b7.png)
(2)证明:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05adfa1f46f8d2eb486991e61b727f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9653a00340ce6cfb8d273cc36b1c01d8.png)
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