1 . 已知数列{an}中,a1=3,
,求{an}的通项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25afba858439b055a604524813a6a7d.png)
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2 . 已知数列{an}中,
,
,求{an}的通项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb31f779599e9237468f96c81f05d4dd.png)
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3 . 已知数列
的首项
,
,
.
(1)求
的通项公式;
(2)证明:对任意的
,
,
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6545b8eca1c4223ed701a199a85683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7643e8b7aa32ebf299048417a94432dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bab065e6362b760b5eec5b969c204c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)证明:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd868bb05899fb3942c32cdb7d547b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7247567230a3bebb8fa497c2b22bb02.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78eca1f732051ae5f4fdfdb139c14672.png)
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4 . 已知数列
满足性质:对于
且
求
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c08bd8402e90b01df5b4994b6feeae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc1dfd02a467ea246bc8b0254f0f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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2023高三·全国·专题练习
解题方法
5 . 已知数列
满足性质:对于
且
求
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52b1cdbf159d405fec9f1db437baa39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc1dfd02a467ea246bc8b0254f0f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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6 . 已知数列
满足递推关系:
,其中
为虚数单位.当
取何值时,数列
是常数数列?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00e152ca903b00303a428efc4969d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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2023-05-23更新
|
730次组卷
|
5卷引用:重难点02 数列(特征根法与不动点法)-2021年高考数学【热点·重点·难点】专练(上海专用)
(已下线)重难点02 数列(特征根法与不动点法)-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)第三篇 数列、排列与组合 专题3 数列的特征方程 微点1 数列的特征方程(已下线)第三篇 数列、排列与组合 专题3 数列的特征方程 微点2 数列的特征方程综合训练(已下线)专题6 等比数列的判断(证明)方法 微点2 通项公式法、前n项和公式法(已下线)专题10 数列通项公式的求法 微点9 特征根法
2023高三·全国·专题练习
7 . 已知数列
中,
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f10fc9e672c15eba65a4a4c4ac8cd2.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f10fc9e672c15eba65a4a4c4ac8cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5e07bf129b073f37b553fbca100172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
8 . 已知数列
中,
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82a596abe5700ac33589140a71ac04b.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82a596abe5700ac33589140a71ac04b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4a9181fb614e0deb43c4f0ad586f6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2023高三·全国·专题练习
9 . 已知数列
中,
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a09a4bc955b154b3056aedfb5921640.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a09a4bc955b154b3056aedfb5921640.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5e07bf129b073f37b553fbca100172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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