名校
解题方法
1 . 已知椭圆C:
的离心率为
长轴的右端点为
.
(1)求C的方程;
(2)不经过点A的直线
与椭圆C分别相交于
两点,且以MN为直径的圆过点
,
①试证明直线
过一定点,并求出此定点;
②从点
作
垂足为
,点
写出
的最小值(结论不要求证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a0b452fd57bbdc105589e871baa009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba447f2abb9bd37cc8d3f607f7e694a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de255124598a717187ee85cb944be05.png)
(1)求C的方程;
(2)不经过点A的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f44755c5fee4b90266eac73ad47a128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
①试证明直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
②从点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7920d2550a6af7df3db60a33fe02c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68967218fdc94c817f0e3b380cce22c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60436c1f7b5c2f6b5331548216e8077.png)
您最近一年使用:0次
2 . 设非零向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c367ebf81da8ce860b8d4db598ce3b0.png)
,并定义![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de1a1abedbffcec3416ebfbba00c22b.png)
(1)若
,求
;
(2)写出![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ee7554e993fa6d1035ea7da1621b6f.png)
之间的等量关系,并证明;
(3)若
,求证:集合
是有限集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b45cac4b26830e829a80640bf01673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c367ebf81da8ce860b8d4db598ce3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4776b8be0546414c6a82e0f7c21315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de1a1abedbffcec3416ebfbba00c22b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69cf5eb74f6f3b69186a665b06696d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9abc628cb2ec8b1250ac0e86a034611.png)
(2)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ee7554e993fa6d1035ea7da1621b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4776b8be0546414c6a82e0f7c21315.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fffedfb01c0a6802e19c44067252fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac41950e0db22f2216407b7e3999b51d.png)
您最近一年使用:0次
2023-07-25更新
|
503次组卷
|
3卷引用:北京市丰台区2022-2023学年高一下学期期末考试数学试卷
北京市丰台区2022-2023学年高一下学期期末考试数学试卷(已下线)专题07 向量应用-《重难点题型·高分突破》(苏教版2019必修第二册)【北京专用】专题06平面向量(第二部分)-高一下学期名校期末好题汇编
解题方法
3 . 已知椭圆
:
的离心率为
,且过点
.
(1)求
的方程;
(2)直线
:
与椭圆
分别相交于
,
两点,且
,点
不在直线
上:
(I)试证明直线
过一定点,并求出此定点;
(II)从点
作
垂足为
,点
,写出
的最小值(结论不要求证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59747cee312ee5140643428cae79efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(I)试证明直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(II)从点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7920d2550a6af7df3db60a33fe02c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107b446164f491149461baefded6f18a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a0abdf3eea0772418890031971fb56.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)证明:
时
恒成立;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a0c8dc0ba147dbb55a1a3ad0c1e788.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/464107f2bd04862950366c56f16c173d.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,
.
(1)当
时,求证:
;
(2)当
时,
恒成立,求实数
的取值范围;
(3)已知
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b1868d9850b7103e1326eb001dfbce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9100abe06c208f6742dc75861a33989.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2aa78c96db411c9e1e939ae16de78d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d062874efc06af87693c548b09fbc91.png)
您最近一年使用:0次
2023-11-30更新
|
429次组卷
|
3卷引用:江苏省镇江市扬中高级中学2024届高三上学期十月学情检测数学试题
6 . 如图,在直三棱柱
中,平面
平面
,
(1)求证:
平面
;
(2)若直线
与平面
所成角为
,二面角
的大小为
,试判断
,
的大小关系,并予以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dee56b9f36ba8f76fe67b76383636b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/7/343133ce-be69-465f-a40d-f27986bac88b.png?resizew=173)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185729402f3b20ac3e0b003be9b385eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
名校
解题方法
7 . 在平面直角坐标系
中,一动圆经过点
且与直线
相切,设该动圆圆心的轨迹为曲线
,
是曲线
上一点.
(1)求曲线
的方程;
(2)设
是
轴左侧(不含
轴)上一点,在曲线
上存在不同的两点
,满足
的中点均在曲线
上,设
的中点为
,证明:
;
(3)过点
且斜率为
的直线
与曲线
交于
两点,若
且直线
与直线
交于
点,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1c84057882768f20a01365c81b6760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4564dc28307341aea4003be38c19dfdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b14fa212bbddd28310d463fcdef7e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c77f0fe2091c394833fd083601736b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7aec089bd3b9e2b411580132f52266f.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96968cc368104c626e7cdf658e361c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d0baac50e0bacbb72990fee30fec19.png)
您最近一年使用:0次
名校
8 . 已知
.
(1)若
在
处取到极值,求
的值;
(2)直接写出
零点的个数,结论不要求证明;
(3)当
时,设函数
,证明:函数
存在唯一的极小值点且极小值大于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f77abf65029bf4014dfea70aded594.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)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5be3af0c67a20bee47063487d305f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
您最近一年使用:0次
22-23高二下·上海·期末
9 . 对于任意的
,若数列
同时满足下列两个条件,则称数列
具有“性质m”:
①
;②存在实数M,使得
成立.
(1)数列
、
中,
,判断
、
是否具有“性质m”;
(2)设各项为正数的等比数列
的前n项和为
,且
,
,数列
是否具有“性质m”,若具有,请证明你的猜想,并指出M的范围;若不具有,理由?
(3)若数列
的通项公式
.对于任意的
(
),数列
具有“性质m”,且对满足条件的M的最小值
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc75a9da38151496ca2adce84a977b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5612ce06759d0f77ca029d10083f7d1e.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef91b91fc7ac183837bd7c6799f19c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设各项为正数的等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12baad2468950ea89781e38432d88f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ab4706be6b3854b9c30ab609e5da68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9050ccff2f6fea858342b0fb290ad7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8191d51029a192d504bf1b736029f82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4749985beebb82af49bf81daed263b91.png)
在区间
上的最大值为
,最小值为
,记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764252096a427d22e7806422c0bff54f.png)
;
(1)求实数
、
的值;
(2)若不等式
对任意
恒成立,求实数
的范围;
(3)对于定义在
上的函数
,设
,
,用任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
将
划分为
个小区间,其中
,若存在一个常数
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29258a85f75b9cb8b0f950d270165f84.png)
恒成立,则称函数
为
上的有界变差函数;
①试证明函数
是在
上的有界变差函数,并求出
的最小值;
②写出
是在
上的有界变差函数的一个充分条件,使上述结论成为其特例;(不要求证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4749985beebb82af49bf81daed263b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf8197e4f3fd18815045d29c357a863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a248e47163191168a1b363937eebd618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764252096a427d22e7806422c0bff54f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6889205677dfb9a02934c36088b75d7f.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c5e6b1cf8b9ace30d26f232da3dac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)对于定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1ed40a8f67e93401e544284ceaaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc272934625d1232ad34eedc6b23267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752c287b0680a053e18be60f6e34ebba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1b6d5c6b222d95759ea7d39f0b908f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b09511efe31176effed50209b4aa5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29258a85f75b9cb8b0f950d270165f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fc2920f7b5d960d1a927fed29b6a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1ed40a8f67e93401e544284ceaaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
①试证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da34ce730f711c09909d53806fe2330a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
②写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627565d32e529cafcd2744d006ec6de2.png)
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