解题方法
1 . 已知二项式
的展开式中第6项与第7项的系数相等.
(1)求展开式中二项式系数最大的项;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6826367ca9d0cecd358ffa865c58a6d.png)
(1)求展开式中二项式系数最大的项;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5d5db9cdb56989b1ca20dcb9910f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb47ccc34810a69eb3e5d6cbf292b18.png)
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2 . 如图,点
均在
轴的正半轴上,
,
,…,
分别是以
为边长的等边三角形,且顶点
均在函数
的图象上.
个等边三角形的边长
;
(2)设数列
的前
项和为
,求
.
(3)已知数列
的通项
,数列
中,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce1e808127c5672eb1b47024e54c9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb99c20237aca8ff2ba640c28fbc5b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a619e2751f422ae187505e95339d02fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b80801bd92f36541707eea1229685e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699bdb06cc1a8e431fd96fdd06f6d2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a6e162176d244084d154bc50b598eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d876a9e0ab9abc3880410cfde910eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ef48976a52cc4a2be7c46a98426c0a.png)
(3)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267c99ff3f6386113dbaa7b1e49612da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e1ee88beaddafb0d0a185c3a8e0dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a655f0f5afe3673c421af8a677b5154c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8427946085d576e0696e06cf4463c30f.png)
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解题方法
3 . 为了了解高中学生课后自主学习数学时间(x分钟/每天)和他们的数学成绩(y分)的关系,某实验小组做了调查,得到一些数据(表一).
(1)求数学成绩y与学习时间x的相关系数(精确到0.001);
(2)请用相关系数说明该组数据中y与x之间的关系可用线性回归模型进行拟合,并求出y关于x的回归直线方程,并由此预测每天课后自主学习数学时间为100分钟时的数学成绩(参考数据:
,
)
(3)基于上述调查,某校提倡学生周末在校自主学习.经过一学期的实施后,抽样调查了220位学生.按照是否参与周末在校自主学习以及成绩是否有进步统计,得到2×2列联表(表二).依据表中数据及小概率值α=0.001的独立性检验,分析“周末在校自主学习与成绩进步”是否有关.
附:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e899162845139a714837b6579fe7806d.png)
随机变量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a11d85b59b9a6fc77c726dbcd2d1941.png)
编号 | 1 | 2 | 3 | 4 | 5 |
学习时间x | 30 | 40 | 50 | 60 | 70 |
数学成绩y | 65 | 78 | 85 | 99 | 108 |
(2)请用相关系数说明该组数据中y与x之间的关系可用线性回归模型进行拟合,并求出y关于x的回归直线方程,并由此预测每天课后自主学习数学时间为100分钟时的数学成绩(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79dd7bdbbb6a060cd79550553659e607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a3500f94bba6a26b8d5afe2b250c7a.png)
(3)基于上述调查,某校提倡学生周末在校自主学习.经过一学期的实施后,抽样调查了220位学生.按照是否参与周末在校自主学习以及成绩是否有进步统计,得到2×2列联表(表二).依据表中数据及小概率值α=0.001的独立性检验,分析“周末在校自主学习与成绩进步”是否有关.
没有进步 | 有进步 | 合计 | |
参与周末在校自主学习 | 35 | 130 | 165 |
未参与周末不在校自主学习 | 25 | 30 | 55 |
合计 | 60 | 160 | 220 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e899162845139a714837b6579fe7806d.png)
随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a11d85b59b9a6fc77c726dbcd2d1941.png)
![]() | 0.010 | 0.05 | 0.010 | 0.005 | 0.001 |
![]() | 2.706 | 3.841 | 6.635 | 7.879 | 10.828 |
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解题方法
4 . 已知数列
是等差数列,其前
和为
,
,
,数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b343307c9d1ae2ab87fdcd873782933.png)
(1)求数列
,
的通项公式;
(2)若对数列
,
,在
与
之间插入
个2(
),组成一个新数列
,求数列
的前83项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2395ccadbeb8353ead0d573ca02c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b343307c9d1ae2ab87fdcd873782933.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若对数列
![](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/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217b927efe12a98e1082ecd7f035b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea50a511b4b1adecf65c932327d07031.png)
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解题方法
5 . 已知椭圆
的左、右焦点分别为
,离心率为
,点
在椭圆
上,
,过
与坐标轴不垂直的直线
与椭圆
交于E,F两点,H为线段EF的中点.
(1)求椭圆
的方程;
(2)已知点
,且
,求直线
的方程.
(3)点
为直线
上一点,且
不在
轴上,
是椭圆
长轴的两个端点,直线
与椭圆C的另外一个交点分别为M,N,设
的面积分别为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18c387b27790287bd465de14424b704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c42abcba86c181d047a31d39444558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7479a816acc0939d1d66b7e33a592c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53048695f7985e89a3f3ac7b7e279156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307fb809dff57cd383a4dc31bbb7e884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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6 . 如图所示数阵,第
行共有
个数,第
行的第1个数为
,第2个数为
,第
个数为
.规定:
.
(2)从第1行起,每一行最后一个数依次构成数列
,设数列
的前
项和为
,是否存在正整数
,使得对任意正整数
,
恒成立?如存在,请求出
的最大值;如不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5726ebd95b22e5f7971028479790df77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0623207595425920f16e76a7f8f268b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29a285201fd7e0ad70fa7431cb89a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0749c4129afc0c704155f522290b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee754f9af67705c16c167733b5ef75db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5222268dda9dcb9b660f3cbedbb37757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ef9ec4340eabb42722042c65cc60d8.png)
(2)从第1行起,每一行最后一个数依次构成数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e8660fb54ba32b037b392b75316087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
7 . 惠庄市委、市政府坚定不移实施“工业强市、产业兴市”战略,坚持规划引领,深化锂电产业,成为全省、全国,乃至世界产业链上的重要一环.为了促进锂电产业发展,市创新研究院课题组对企业研发经费的投入和企业当年的销售收入的关系进行了研究,他们收集了上一年不同企业销售收入
(单位:10万元)与一定范围内的研发经费
(单位:10万元)的数据,根据收集的13组观测数据,得到如下的散点图:
或
建立
关于
的回归方程,令
得到如下数据:
且
与
的相关系数分别为
,且
.
(1)用相关系数说明哪种模型建立
与
的回归方程更合适;
(2)根据(1)的结果及表中数据,建立
关于
的回归方程;
(3)已知企业的利润
与
的关系为
,当
为何值时,
的预报值最大.
参考数据和公式:
,对于一组数据
,其回归直线方程
的斜率和截距的最小二乘法估计分别为
,相关系数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c305c245407e2152ef4c582dc2d3f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8901c469ca9b12a490dbb827c906215b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5057a28bf666cb6f109b5200f6885de.png)
![]() | ![]() | ![]() | ![]() | |
10.15 | 109.94 | 3.04 | 0.16 | |
![]() | ![]() | ![]() | ![]() | ![]() |
13.94 | -2.1 | 11.67 | 0.21 | 21.22 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33655f889e85f295c28517e7079a3214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1e6e55617b08824bdca7540fb59fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8543261a8e351eb95cdfebb001a3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963b8975e1163d137d90234ba7011320.png)
(1)用相关系数说明哪种模型建立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)根据(1)的结果及表中数据,建立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)已知企业的利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af2d38cf365e4389c0d3f18ecfa890e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482980fe2e58c2f471755ed556728f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
参考数据和公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b55ad513e7257cc2708605fbfa1987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec4f6d522a60322cb31269eba42fcc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0943f70585435955d528325e51ef013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5542b4783f58231312a23a99e99fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251114f9b78036bd55d9e97af7b13910.png)
您最近一年使用:0次
名校
解题方法
8 . 已知数列
是等差数列,其前
和为
,
,
,数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b343307c9d1ae2ab87fdcd873782933.png)
(1)求数列
,
的通项公式;
(2)若对数列
,
,在
与
之间插入
个2(
),组成一个新数列
,求数列
的前83项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2395ccadbeb8353ead0d573ca02c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b343307c9d1ae2ab87fdcd873782933.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若对数列
![](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/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217b927efe12a98e1082ecd7f035b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea50a511b4b1adecf65c932327d07031.png)
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9 . 已知函数
,
.
(1)讨论
的单调性;
(2)若
有两个零点,求实数
的取值范围;
(3)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eaa6d55cdb24cff59f22f8a09b27160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026d50aeb347823e800aa11442b80331.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780876acd6f251de9b8510f4def91b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5卷引用:山东省泰安市新泰市第一中学东校2023-2024学年高二下学期第二次质量检测数学试题
10 . 已知数列
为等比数列,
为等差数列,且
,
,
.
(1)求
,
的通项公式;
(2)若
,数列
的前n项和
;
①求数列
的前n项和
;
②对任意的
,不等式
恒成立,求实数
的取值范围.
![](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/85444874c705666de9488286d3d61dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d81f0ceacc025999ece67fb1bc2d452e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf76ee8248d9d3435f52fd0a9fa73cb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9221c0c92a526f65533cdc5400767af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
①求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1604a0743ed62d833577fd9929c376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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