1 . 已知数列
满足
,其中
是
的前n项和,则
,
,
,
的值分别是______ 、______ 、______ 、______ ,由此推测出![](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/4bf732764ecee2b555071ed13cafae93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2 . 用数学归纳法证明
对任意
都成立,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f02d5ee35815524639c228043f67b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e75e2089a950b0aac342eb835748f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 数列
中,
,
,
,
成等差数列,分别计算
,
,
的值,猜想
的表达式为______ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf2b3ec3dc92cd902eff76085ad46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba43a00a6e133ad175bd4f27c546415.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/08eb71ecf8d733b6932f4680874dbbf3.png)
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4 . 用数学归纳法证明:“
”时,由
不等式成立,推理
时,左边应增加的项数是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116ccafcf8d4dcf9cdf6712bde6a6e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f909c648fd526a18066c40d62cff6e78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
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5 . 已知
,存在自然数
,使得对任意
,都能使
整除
,则最大的
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d82c54c52d0b5356939c8ea0d8483b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 已知存在常数
,使等式
对
都成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c5993c054cf316488c6cf48e7f03a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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名校
7 . 已知
,用数学归纳法证明
时,
比
多了______ 项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19b5146d36ba668a8a097598d33a9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160d3c96ae26c9408fda9780cf4975d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de5aeec5fb5769c0a77944312c2267b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7a84d7e5d6236009a8be655bd500fd.png)
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2022-04-08更新
|
312次组卷
|
3卷引用:辽宁省沈阳市第一二〇中学2021-2022学年高二下学期第一次月考数学试题
辽宁省沈阳市第一二〇中学2021-2022学年高二下学期第一次月考数学试题安徽省滁州市定远县民族中学2022-2023学年高二下学期3月第一次月考数学试题(已下线)1.5数学归纳法(分层练习,7大考点)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)
名校
8 . 对于下面这个等式我们除了可以用等比数列的求和公式获得,还可以用数学归纳法对其进行证明“
”,那么在应用数学归纳法证明时,当验证
是否成立时,左边的式子应该是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40da9969683e50b098c6a16d213f6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
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解题方法
9 . 已知向量
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403bcfe41532f9426e586c48552ae9bc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e05ed44bfcf9bb9683c687e1f929675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8606e712e0c2c48006dcca161b953e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d1eb70c695a49d5653db7717700772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403bcfe41532f9426e586c48552ae9bc.png)
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2022-03-08更新
|
2039次组卷
|
6卷引用:山东省日照市2022届高三模拟考试(一模)数学试题
山东省日照市2022届高三模拟考试(一模)数学试题山东省潍坊市昌乐二中2022届高三4月高考模拟数学试题湖南省衡阳市第一中学2021-2022学年高二下学期第三次月考数学试题(已下线)4.4 数学归纳法(分层作业)-【上好课】2022-2023学年高二数学同步备课系列(人教A版2019选择性必修第二册)(已下线)4.4 数学归纳法(练习)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第二册)(已下线)4.4 数学归纳法(五大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
10 . 已知向量
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff4bb0f887451f0524683404fe03d4c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9916a58d7a81c9aef007b6dd8b2c570d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b3c8fa1d2f88b5122692ad678b2146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b850b47a49811a4f9f49817abcd621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff4bb0f887451f0524683404fe03d4c.png)
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