解题方法
1 . 已知等差数列
的首项为2,公差不为0.若
成等比数列,则
的前6项和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e018deab6a5ae6fb4d47b8e197df4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.3 | D.8 |
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解题方法
2 . 已知首项为1的正项数列
,其前
项和
.用
表示不超过
的最大整数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef56bcb31ea02a037adc850669f5d50a.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/9583a4d9bf7b954042226232d23a8c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef56bcb31ea02a037adc850669f5d50a.png)
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解题方法
3 . 若
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270e8fc48f9dff4b373443dd1022cfa3.png)
A.1 | B.4 | C.![]() | D.![]() |
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4 . 已知数列
满足
.
(1)计算
,并求数列
的通项公式;
(2)设数列
满足
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0197eeeeaafec6b1fdd7bb8509572f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927b2083d9ef35597e49e2b6d2fc7dc8.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7242a9f236459da46f0bdc7c2df66d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3783e69ef5a6a0af566ff4e21ccf03.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbef630be1e4b98a0649675cd61e584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a530a8a2b01474a94e976cad02ffaf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
5 . 如图所示,在三棱锥
中,
围绕棱PA旋转
后恰好与
重合,且三棱锥
的体积为
,则三棱锥
外接球的半径
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc6b52ccec72956d3839f11a3d2fa0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
A.1 | B.![]() | C.![]() | D.2 |
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解题方法
6 . 设
,
是平面内相交成
角的两条数轴,
分别是与
轴、
轴正方向同向的单位向量.若
,则把有序实数对
叫做向量
在斜坐标系Oxy中的坐标,记作
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2764005616525d2775eb9b3047f767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc293f06b99b5f774ba59da473b2c7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5253a9a71037d60059b60237824193b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1826aa6f667b181d7aabc06e35365308.png)
A.若![]() ![]() |
B.若![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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7 . 已知等比数列
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca001af29e9570e43e96c6e06fa35e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
A.2 | B.![]() | C.![]() | D.![]() |
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2024-04-16更新
|
889次组卷
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4卷引用:山西省临汾市2024届高三第二次高考考前适应性训练数学试题
山西省临汾市2024届高三第二次高考考前适应性训练数学试题(已下线)模块4 二模重组卷 第3套 全真模拟卷(已下线)5.2 等差数列和等比数列(高考真题素材之十年高考)山东省淄博市桓台县渔洋中学2023-2024学年高二下学期6月阶段性检测数学试题
名校
解题方法
8 . 已知数列
满足:
,设
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19aa2adf553646571f795e80c1902bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1e183f2e064db6066af95031e0b3ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-08更新
|
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|
3卷引用:山西省临汾市2024届高考考前适应性训练考试(一)数学试题
名校
解题方法
9 . 在①
,②
外接圆面积为
,这两个条件中任选一个,补充在下面横线上,并作答.
在锐角
中,
,
,
的对边分别为
,
,
,若
,且______.
(1)求
;
(2)若
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8804305c00626e8900e2aea371e7eddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b325a689d3b407720053d80fad863731.png)
在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/d84f6595dc66643dfd1ec60d3c5d901e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbb0763189c19f89abb406b3109a834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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