名校
解题方法
1 . 在
中,角
所对的边分别为
,且
.
(1)证明:
成等比数列;
(2)若
,且
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf081a66e757ea45194c0dee161dbb33.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4a8c2c7845cfb1b094d13e66e0ed87.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38f550e95b2950f91e8ec1798b94109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
您最近一年使用:0次
2020-10-16更新
|
182次组卷
|
2卷引用:四川省仁寿第一中学校南校区2020-2021学年高三第二次月考数学(文)试题
解题方法
2 . 在公差不为零的等差数列
中,
,且
成等比数列.
(1)求数列
的通项公式;
(2)设
,数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd33b6c5a8037b0e80ac8fb6fad412d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a76f9d33b5394ec43eecbe3a8d9c714.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8107120e073023ad75e7eaaddb1636e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/fc1f5d407c0e99344ed5f0f5926c5d22.png)
您最近一年使用:0次
名校
解题方法
3 . 已知首项相等的两个数列
满足
.
(1)求证:数列
是等差数列;
(2)若
,求
的前n项和
;
(3)在(2)的条件下,数列
是否存在不同的三项构成等比数列?如果存在,请你求出所有符合题意的项;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3749f21ab960f83ced063bf49e0da77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948f39334fbedeb849be39552aa00c4c.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2767882820f4ba0defde0e412adb747f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bb72b3ebbca741b3eda49cd617c058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)在(2)的条件下,数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
您最近一年使用:0次
解题方法
4 . 设
是等差数列
的前
项和,若公差
,
,且
成等比数列.
(1)求数列
的通项公式;
(2)设
,
,求证:
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7abe2dbf91b745e81aa97bee35b0bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcd9a1492c60152f2e32604cd519e72.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87045df56b97c4cc4f75f7cfda6f7a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd597fd3e8cf7d5fb0de8c0f18bd785c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9928e46511e601913619a427ded84a3.png)
您最近一年使用:0次
2017-05-08更新
|
991次组卷
|
2卷引用:四川省凉山木里中学2017-2018学年高二下学期期中考试数学(文)试卷