23-24高二下·上海·期末
1 . 用数学归纳法证“
”的过程中,当
到
时,左边所增加的项为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cb42778b4ca264431c84051fe1025a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7ca2b3e8061384501f668e59696a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
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23-24高二下·上海·期末
2 . 现有命题:
,用数学归纳法探究此命题的真假情况,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ea7de6d29d0ecef40115f66c298d14.png)
A.不能用数学归纳法判断此命题的真假 |
B.此命题一定为真命题 |
C.此命题加上条件![]() |
D.存在一个无限大的常数![]() ![]() |
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3 . 数列
满足
,
(
).
(1)计算
,
,猜想数列
的通项公式并证明;
(2)求数列
的前n项和;
![](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/be815a472dbc3112591a3c311750b1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109c4b28048ec9e72ba8ecd6311d9f7e.png)
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名校
4 . 利用数学归纳法证明不等式
的过程中,由
变到
时,左边增加了( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a360badb860bc02c2cb0428940b608e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4b264c00c44679d63c24c145a1bcf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
A.1项 | B.![]() | C.![]() | D.![]() |
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2024高二下·全国·专题练习
5 . 用数学归纳法证明“对任意偶数
,
能被
整除时,其第二步论证应该是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2206196b66ab31b85cbc8e26d20515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
A.假设![]() ![]() ![]() |
B.假设![]() ![]() ![]() ![]() |
C.假设![]() ![]() ![]() |
D.假设![]() ![]() ![]() |
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2023高二上·江苏·专题练习
6 . 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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7 . 已知
,则
共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530bedbe3e22dada6c3ee6de5224b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79329f733e1c19d10310826230694638.png)
A.1项 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知数列
满足
,设该数列的前
项和为
,且
,
,
成等差数列.
(1)用数学归纳法证明:
(
是正整数);
(2)求数列
的通项公式.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf2b3ec3dc92cd902eff76085ad46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39835887158fcba559fdfe35ebb5c63.png)
(1)用数学归纳法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8adf14f70232202f11d2bb28a8465b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2023高二上·江苏·专题练习
9 . 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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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.![]() ![]() ![]() |
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