23-24高二上·全国·课后作业
1 . 用数学归纳法证明:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ccb7c222ed585b70623474e9e4773d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb64586cbfa39f8861078551551d416d.png)
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23-24高二上·全国·课后作业
2 . 用数学归纳法证明:凸
边形的内角和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8355929654965141255c84ede428c256.png)
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2023-09-12更新
|
73次组卷
|
5卷引用:1.4 数学归纳法
(已下线)1.4 数学归纳法湘教版(2019)选择性必修第一册课本习题 习题1.4(已下线)4.4 数学归纳法(3)(已下线)5.5数学归纳法(分层练习,6大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)1.5 数学归纳法7种常见考法归类(1)
23-24高二上·全国·课后作业
3 . 用数学归纳法证明:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75362b26ae6b74cde791963c0be80857.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d692e0386e011050197de3c25455234.png)
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23-24高二上·全国·课后作业
4 . 用数学归纳法分别证明公差为
的等差数列
的前
项和公式
与公比为
的等比数列
的前
项和公式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.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/fdd8dae3c30d8544503e3f8d81beeb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e15be6eb86b5f1746b0036a87c9ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320f6e39d176dcb08232560e51661071.png)
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23-24高二上·上海·课后作业
5 . 在计算
的巴比伦算法中,若选取初值
,通过计算器操作,写出迭代序列的前5项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de10eb4cf291d00db3bb92596143afa1.png)
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23-24高二上·上海·课后作业
6 . 设数列
的各项均为正整数,且
.记
.如果对于所有的正整数
均有
.
(1)求
,
,
,
,
;
(2)猜想
的通项公式,并加以证明.
![](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/2efba990f1fca3fe00fb5e0a7fff0bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f87771015d6b6a42eeb686cf63249f8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
(2)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
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2023-09-12更新
|
199次组卷
|
7卷引用:4.4 数学归纳法
(已下线)4.4 数学归纳法(已下线)4.4 数学归纳法(2)(已下线)5.5数学归纳法(分层练习,6大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)1.5 数学归纳法7种常见考法归类(1)(已下线)专题4.4 数学归纳法(2个考点四大题型)-2023-2024学年高二数学《重难点题型·高分突破》(苏教版2019选择性必修第一册)(已下线)4.4 数学归纳法(6大题型)精讲-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册) (已下线)4.4数学归纳法——课后作业(巩固版)
23-24高二上·上海·课后作业
7 . 已知数列
满足
,
,试用数学归纳法证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848d6d045a97f7d6591fdec43834bebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc1dda068b34ce0a8062dd790f03e29.png)
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23-24高二上·上海·课后作业
8 . 用数学归纳法证明
(
为正整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206063d75abe920579506b91ac596b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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23-24高二上·上海·课后作业
9 . 是否存在常数
、
、
,使等式
对任何正整数
都成立?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de3078402b0cac9e9ccf34b086ccdcac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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