解题方法
1 . 已知数列
满足
,
,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6194b7839446c93adc1b49aefb9d7214.png)
A.![]() ![]() |
B.![]() |
C.![]() |
D.![]() ![]() ![]() |
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解题方法
2 . 已知首项为
的数列
的前
项和为
,若
,且数列
,
,…,
成各项均不相等的等差数列,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](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/a0a02d1eb86a6c76e5041e7db6aa1169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ce3545ddc03eb68df04bd154a5415f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2021-03-22更新
|
1559次组卷
|
5卷引用:吉林省通化市梅河口市第五中学2023-2024学年高二上学期期中数学试题
吉林省通化市梅河口市第五中学2023-2024学年高二上学期期中数学试题百校联盟2021届普通高中教育教学质量监测考试(全国二卷)理科数学试题(已下线)专题06 数列(文理)(已下线)专题6-1 数列函数性质与不等式放缩(讲+练)-1(已下线)专题10 数列通项公式的求法 微点1 观察法(不完全归纳法)、公式法
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3 . 已知定义在R上的奇函数f(x)=
(a>0,且a≠1).
(Ⅰ)求k的值;
(Ⅱ)当m∈[0,1],n∈[-1,0]时,不等式f(2n2-m+t)+f(2n-mn2)>0恒成立,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89830df2d24530877907c7cc35e41ba.png)
(Ⅰ)求k的值;
(Ⅱ)当m∈[0,1],n∈[-1,0]时,不等式f(2n2-m+t)+f(2n-mn2)>0恒成立,求t的取值范围.
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4 . (附加题,本小题满分10分,该题计入总分)已知数列
的前
项和
,且
.
(1)求数列
的通项公式;
(2)令
,是否存在
,使得
成等比数列.若存在,求出所有符合条件的
值;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/47868541c1194cc0b97d751153d9e64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/634376c1ae8c43e1a5f648c3413c2ba0.png)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/61fa252d16df4aa289b38aa1489694da.png)
(1)求数列
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/47868541c1194cc0b97d751153d9e64d.png)
(2)令
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/55c3053983fd4cb5bfb81571a4df6ba5.png)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/1c8d03bfbae147c1881d28254ee7f898.png)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/6dc6c58e37d0416681a30f6bf1be1b98.png)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572171899166720/1572171904499712/STEM/956eab46ae0141399187726ac8da4e23.png)
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