名校
1 . 依次计算
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b338489bf89ef379af748245139050c8.png)
,猜想
的结果,并用数学归纳法证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b8fcc94c4172bd9018e057fff3dfe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8a6040c915616e35263944553a9904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b338489bf89ef379af748245139050c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a15151fb6ad5e4683b232b297474c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f93a1a79d138f03caf2b30ecc356db.png)
您最近一年使用:0次
2 . 设数列
的前
项和为
,并且满足
.猜想
的通项公式,并用数学归纳法加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/723ffba1f0e3b678dc2865c03df3440b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
您最近一年使用:0次
2016-12-05更新
|
1056次组卷
|
4卷引用:2016-2017河北武邑中学高二上周考9.25文数学试卷
2016-2017河北武邑中学高二上周考9.25文数学试卷2016-2017学年广东省普宁市华侨中学高二文上第二次月考数学试卷(已下线)专题4.5 数学归纳法(A卷基础篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)(已下线)4.4 数学归纳法-2021-2022学年高二数学链接教材精准变式练(苏教版2019选择性必修第一册)
11-12高二下·河北衡水·期末
名校
3 . 某少数民族的刺绣有着悠久的历史,下图(1)、(2)、(3)、(4)为她们刺绣最简单的四个图案,这些图案都由小正方形构成,小正方形数越多刺绣越漂亮,现按同样的规律刺绣(小正方形的摆放规律相同),设第n个图形包含f(n)个小正方形.
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/75f76f3dfd7d4fc490a6a28c8bbb84c5.png?resizew=227)
(1) 求出
,
,
并猜测
的表达式;
(2) 求证:
+
+
+…+![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/dae4973f73134d60b404bd7027a55836.png?resizew=60)
.
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/75f76f3dfd7d4fc490a6a28c8bbb84c5.png?resizew=227)
(1) 求出
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/6a9a4533e7ee49419ecbe72de1e85614.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/6336740dd7784ef6a99bba50e1604c97.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/7effbcbcbec949a484ebe606b516ae7c.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/449411a31d3b446b99d12ce69f2ee881.png?resizew=37)
(2) 求证:
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/a66ab08a05474289a3a6fb850a532e50.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/fcacdd1ef4c4486794511d8e39fc2e64.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/c76ad75e1cfd4d438ac87884c739c41f.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/dae4973f73134d60b404bd7027a55836.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2019/5/6/2197693825744896/2200495020015616/STEM/8de673ab2e484c16a01d7b3261288506.png?resizew=28)
您最近一年使用:0次
9-10高二下·辽宁大连·期末
4 . 已知
,求证:
,
,
不能同时大于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3f0066236eb1ad9e37e26dc970f983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9009a23f25276a70eda20828f0ce15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9228428c9e9c157a9c42e8de942ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf60330bec49f1bb2d9939dc53cd057a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
您最近一年使用:0次
2016-11-30更新
|
1016次组卷
|
6卷引用:辽宁省大连市长海高中09-10学年高二下学期期末考试数学试题文科
(已下线)辽宁省大连市长海高中09-10学年高二下学期期末考试数学试题文科(已下线)2012年苏教版高中数学选修2-2 2.2直接证明与间接证明练习卷陕西省咸阳市武功县2020-2021学年高二下学期期中文科数学试题高中数学解题兵法 第七十二讲 反证法沪教版(2020) 必修第一册 堂堂清 第一章 1.2(3)常用逻辑用语甘肃省兰州市教育局第四片区2021-2022学年高二下学期期中考试数学(文)试题