名校
1 . 用数学归纳法证明:
(
)的过程中,从
到
时,
比
共增加了( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c7faffe892fe87ca775ccb6abd52cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7ca2b3e8061384501f668e59696a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de5aeec5fb5769c0a77944312c2267b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7a84d7e5d6236009a8be655bd500fd.png)
A.1项 | B.![]() | C.![]() | D.![]() |
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2024-01-30更新
|
954次组卷
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10卷引用:2023新东方高二上期末考数学01
2023新东方高二上期末考数学01浙江省杭州第二中学2023-2024学年高二上学期期末考试数学试题江苏省南京市南京师大附中2024届高三寒假模拟测试数学试题(已下线)1.5 数学归纳法7种常见考法归类(2)(已下线)5.5 数学归纳法(2知识点+6题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)吉林省四平市第一高级中学2023-2024学年高二下学期第一次月考数学试题浙江省舟山市舟山中学2023-2024学年高二下学期4月清明返校测试数学试题辽宁省沈阳市第十中学2023-2024学年高二下学期第一次月考(4月)数学试卷四川省成都市石室中学2024届高三下期三诊模拟考试文科数学试卷四川省成都市石室中学2024届高三下学期三诊模拟考试理科数学试卷
2 . 用数学归纳法证明“
”的过程中,从
到
时,左边增加的项数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc0dfae24a9d5e405673a131b120927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4144cc65da072c3f9e149c1d524369a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023高二上·江苏·专题练习
3 . 有下列命题:
;使用数学归纳法证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855095e11c24068738b6f44233f74aaa.png)
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2023高二上·江苏·专题练习
4 . 设数列
满足
,
.
(1)计算
,猜想
的通项公式;
(2)用数学归纳法证明上述猜想,并求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6672b832da87660e7919ea3f7d50bf0f.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe61d313eeca8ba47478a9de40540db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)用数学归纳法证明上述猜想,并求
![](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)
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2023高二上·江苏·专题练习
5 . 利用数学归纳法证明“
”时,由
到
时,左边应添加因式__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f716858a6bb27117518863575c4bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b00f4eb7f1bd2ccefbabf0c1dfa8f69.png)
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2023高二上·江苏·专题练习
6 . 用数学归纳法证明“
”时,第一步需要验证的不等式为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bec3f16b82535564573cb290bf4a16.png)
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2023高二上·江苏·专题练习
7 . 在正项数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4687d7618ddcc814ca19040c8bc20a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.为递减数列 | B.为递增数列 |
C.先递减后递增 | D.先递增后递减 |
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8 . 以下四个命题,其中满足“假设当
时命题成立,则当
时命题也成立”,但不满足“当
(
是题中给定的n的初始值)时命题成立”的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469410cf8d7cd28620a58363cb5cbb6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ca4f2b82d9d7a8323c8d697338a6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
A.![]() |
B.![]() |
C.凸n边形的内角和为![]() |
D.凸n边形的对角线条数![]() |
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2023高二上·江苏·专题练习
解题方法
9 . 已知无穷数列A:
,
满足:①
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed39e20a9dbb75b4b21260d27df85b90.png)
且
;②
,设
为
所能取到的最大值,并记数列
:
,
,….
(1)若数列A为等差数列且
,求其公差d;
(2)若
,求
的值;
(3)若
,
,求数列
的前100项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c990e50aad1de332b6f9894634e6acfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed39e20a9dbb75b4b21260d27df85b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eab47e3541d23a4cacac915d4384e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a49997086be2e13a271a4a7b1d4c399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d9a668c71d17815323b7ec482fd2cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d00457e8d086f28ea1b24bd880c9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f766f204cf98d973ad5abe03b235e95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6398ba56f5a708d2d85a02320e1a389d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8c641c42b6cd7f44c477bbe5761a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7488ed7332650aa2bc908edbd38c05e8.png)
(1)若数列A为等差数列且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7104dd8a81267b6c15ceedcefccfa20.png)
(3)若
![](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/6398ba56f5a708d2d85a02320e1a389d.png)
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2023高二上·江苏·专题练习
10 . 用数学归纳法证明不等式
的过程中,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48cf5170a458a3c5d0ece2d1beaa8834.png)
A.使不等式成立的第一个自然数![]() |
B.使不等式成立的第一个自然数![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次