1 . 记等差数列
的前
项和为
.若
,
,则
( )
![](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/fb334e165679c6cb500c994cffa47147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc71709255f5a5a4101afb6b55bcc10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11e2bf8d65c24fc845446a32d881bd4.png)
A.140 | B.70 | C.160 | D.80 |
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昨日更新
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4卷引用:2024届青海省西宁市大通县高考四模数学(理)试卷
名校
解题方法
2 . 等差数列
中,
,
.
(1)求
的通项公式;
(2)设
,记
为数列
前
项的和,若
,求
.
![](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/e607f0e5ec84db7274b3f89aaf5a9bf0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea83fc1bcb18a88bd7f59f91a6ad123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/0bc968ca9dd4cec73b8b9443bef447a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3卷引用:2024年普通高等学校招生伯乐马模拟考试(二)数学(理)试卷
2024年普通高等学校招生伯乐马模拟考试(二)数学(理)试卷(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)四川省成都市成都外国语学校2023-2024学年高二下学期4月期中考试数学试题
3 . 记等差数列
的前
项和为
,
是正项等比数列,且
.
(1)求
和
的通项公式;
(2)证明
是等比数列.
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738639bed93112168095c6e96df7c350.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae99a02a5fda4c6138f273f3e612ac48.png)
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解题方法
4 . 若实数
满足约束条件
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec7c0a7aeaff35f755619cda7bcd7f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febaeb957daf54c835287a936f414551.png)
A.![]() | B.6 | C.13 | D.15 |
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解题方法
5 . 已知
满足约束条件
则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403840c141d9c03c89ae2c3caed335bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5d4099d59a02ce7c287fdb5bc9e099.png)
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解题方法
6 . 若实数
满足约束条件
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec7c0a7aeaff35f755619cda7bcd7f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febaeb957daf54c835287a936f414551.png)
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7 . 在
中,内角
的对边分别为
,若
,且
,则
的值为( )
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615f867b23ecd7a8baa5d46ac48e5e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2523e1f5155dd8b48c9ac8a3d59710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa6361e919ac07ee6ed642556e1d1ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:青海省西宁市大通县2024届高三第二次模拟考试数学(理)试题
青海省西宁市大通县2024届高三第二次模拟考试数学(理)试题(已下线)第一套 艺体生新高考全真模拟 (二模重组卷)(已下线)第一套 艺体生新高考全真模拟 (二模重组卷1)河南省郑州市宇华实验学校2024届高三下学期5月月考数学试题
名校
解题方法
8 . 若变量
满足不等式组
,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783119b128760c1520633991115f3600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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9 . 在
中,角
所对的边分别为
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c5f0b5a691a033be58cb8f48f78b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 在
中,内角
,
,
的对边分别为
,
,
,且
.
(1)求角
的大小;
(2)若
,
,求
的面积.
![](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/08024bebbc19515defb51ed2cbc4b6cb.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8da080dc303a4e36d4b9765898d853e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81eedf404aeb0a2310a310910f73d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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