真题
解题方法
1 . 记
为等差数列
的前n项和,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10efc78f08d7374ac3c896b4452adf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b1f1aa3feb43823d95f80939bcdb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
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今日更新
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7卷引用:2024年新课标全国Ⅱ卷数学真题
2024年新课标全国Ⅱ卷数学真题(已下线)2024年高考数学真题完全解读(新高考Ⅱ卷)专题06数列(已下线)2024年新课标全国Ⅱ卷数学真题变式题11-15云南省大理市2023-2024学年高二下学期6月质量检测数学试题(已下线)五年新高考专题06数列(已下线)三年新高考专题06数列
2 . 已知数列
满足
,则其前9项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a91a1859acfc08a10beb5a60a24d8f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
您最近一年使用:0次
3 . 记
内角
的对边分别为
,
,
,已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f23d9f62826855e3caf26d7d4640c1c.png)
(1)求
;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1143aa4477719481003ec4cc75a565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f23d9f62826855e3caf26d7d4640c1c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bd466d65409c10c1a1ce60a3c5ea1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
4 . 设
是公比大于1的等比数列,
为数列
的前
项和.已知
,且
、
构成等差数列,令
.
(1)求数列
的通项公式;
(2)令
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdc17b603871d20843ffccca2df0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aadfe0800c4dc2fe3434c488cf3fe9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0462c9dc4a0bd08a0ec1cc07f1d2f3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131d12bb9ea1eb58c7f0721a291598b0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f50ac3b1d543e1a09eb9e84da4f5a0.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf35e622dc7630e7f5d056b1b6af1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
5 . 数列
是等比数列,
和
是方程
的两根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89178b8e8e45658d3bcb9ee6ab7c6828.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28a854eda450ce5a2b68879b11992d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c346ef9edb3b0e6a36f4e621989a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89178b8e8e45658d3bcb9ee6ab7c6828.png)
您最近一年使用:0次
6 . 某林场为了及时发现火情,设立了两个观测点A和B.某日两个观测点的林场人员都观测到C处出现火情.在A处观测到火情发生在北偏西
方向,而在B处观测到火情在北偏西
方向.已知B在A的正东方向
处,那么火场C与A距离约为___________
.(结果精确到
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc9600d011c14315338e99623269d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36b7bffda85107582b021928dbd4d3c.png)
您最近一年使用:0次
7 . 在正项等比数列
中,
为其前
项和,若
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3931e6266decbab4ab76b280f61bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60c92966388420d68570cd838a242ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973d17cd50a4905164d29b8449fafd52.png)
您最近一年使用:0次
8 . 设等比数列
的公比为
,其前
项和为
,前
项积为
,若
,
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d87fb02b08c88b0c9f27f839a7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b08fb002c8c3ab39bd769b2f8e93e6.png)
A.![]() | B.![]() |
C.数列![]() ![]() | D.数列![]() |
您最近一年使用:0次
9 . 若数列
为递增数列,则
的通项公式可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知等差数列
的前
项和为
,若
,
,则当
取得最小值时,
( )
![](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/48efbeef120efd6ebf13e5f40f6ad4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5ca6820afe7ae1becb26227eacf399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.4 | B.5 | C.6 | D.7 |
您最近一年使用:0次