1 . 设数列
的前
项和为
,且
与
的等差中项为
.
(1)证明:数列
是等比数列;
(2)设
,证明:
.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b6f30d133e86188d9e5185720bdbb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ac430c4ce342d868e9399ef45ed4d4.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a080c94bf1ffea8d5af10f9688978fb5.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2414b9e4bf818edab0bfb752bc73aeb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b6aa1778c3b6fd9d5e148da3f34f1e.png)
您最近一年使用:0次
名校
解题方法
2 . 已知正三角形
,某同学从A点开始,用掷骰子的方法移动棋子.规定:①每掷一次骰子,把一枚棋子从三角形的一个顶点移动到另一个顶点.②棋子移动的方向由掷骰子(点数为
)决定,若掷出骰子的点数大于3,则按逆时针方向移动;若掷出骰子的点数不大于3,则按顺时针方向移动.设掷骰子n次时,棋子移动到
处的概率分别为
,
,
.例如:掷骰子一次时,棋子移动到
处的概率分别为
,
.当掷骰子7次时,棋子移动到A处的概率
值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31364ad692afbccf9394d9c507bb7d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a244cf6ac956323ea14e09c5e175448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb0bd2ca3d26328ec2b084b2c125568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73c7414b319cc405e24e3ffeba6d193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93fd65a127fa10f99b47610ccda1e70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71d6d9da4747ebac1de03ac6cf24067c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f06a99cb24d7b311fa1907a0ccb4f6.png)
您最近一年使用:0次
2023-04-05更新
|
691次组卷
|
2卷引用:广西玉林市博白县中学2022-2023学年高二下学期期中测试数学试题
名校
解题方法
3 . 已知函数
,记
是
的导函数,将满足
的所有正数
从小到大排成数列
,
,则数列
的通项公式是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c670861f01050cf87a4c1678d7af41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33770cd4511e0f50f2d959ffd913e97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bedc49a1021102e25099a72dbcb1e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf502cfa14d59e0c4efe782e7d7eed8b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2018-10-26更新
|
2467次组卷
|
7卷引用:2020届广西梧州市蒙山县蒙山中学高三上学期第三次测试理科数学试题
2020届广西梧州市蒙山县蒙山中学高三上学期第三次测试理科数学试题【省级联考】四川省高2019届高三第一次诊断性测试(理科)数学四川省高2019届高三第一次诊断性测试(文科)数学【全国百强校】西藏自治区拉萨中学2019届高三第五次月考数学(理)试题(已下线)专题02 数列(第一篇)-备战2020高考数学黄金30题系列之压轴题(新课标版)人教A版(2019) 选择性必修第二册 过关斩将 全书综合测评(已下线)专题14 导数概念及运算
4 . 已知数列
满足
,
,则它的前100项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.png)
________ .
![](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/d3f14a820093a56661a8b057562ec2be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.png)
您最近一年使用:0次
2020-07-21更新
|
891次组卷
|
2卷引用:广西南宁三十六中2020-2021学年高二9月份月考数学试题
名校
5 . 已知数列
中,
,
.
(1)证明数列
为等比数列,并求
的通项公式;
(2)数列
满足
,数列
的前
项和为
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381576e698a46df8c497e6b5f8346ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac0ecbbd0b66ccaa554cf4eb1a8bace.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ef3b81f7bcaf96d4f19f3e36fc4683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2448cf72af76b810310e4cfb9818e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad1bb0c3413becc1ed1d944d4521096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2448cf72af76b810310e4cfb9818e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb26cd1601fe7e76e1e2dc0b4909324a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebcedd49ea382753d28893391ee7a59.png)
您最近一年使用:0次
2016-12-04更新
|
1594次组卷
|
7卷引用:2017届广西玉林市、贵港市高三毕业班质量检测数学(理)试卷