解题方法
1 . 在
中,角
的对边分别为
,已知
.
(1)求
;
(2)若
为
边的中点,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8da3561f20a8aa399418172ee725549.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc28736bfbaea0c11e0c7b890ef2ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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2024-05-21更新
|
1138次组卷
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3卷引用:2024届青海省西宁市大通县高考四模数学(理)试卷
2 . 已知数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)若数列
,求数列
的前
项和
.
![](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/6bf34a71de719f2b5d0ad877a0aa3b92.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35340e4e54e312c6705f3627ddbabc52.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2024-05-16更新
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3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
名校
解题方法
3 . 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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2024-05-08更新
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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
解题方法
4 . 已知
的内角A,B,C的对边分别为a,b,c,且
.
(1)求B;
(2)若
,
的面积为S.周长为L,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d917da709eb4054890c6a7295d4219.png)
(1)求B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6271fd64db6ec6bf6407bd9ed7547044.png)
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2024-04-25更新
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2卷引用:青海省部分学校2023-2024学年高三下学期联考模拟预测理科数学试题
5 . 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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名校
解题方法
6 . 已知
的内角A,B,C的对边分别为a,b,c,且
.
(1)证明:
;
(2)若
,当C取最大值时,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1a4a09c93f40f93d5566ee510d16e2.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43e603c47efbbcb8570bd9a4891b679.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c46b1e4d15292e69c69de3e1d2c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
7 . 已知正数
满足
.求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483e8298320b2fe64e3b2dbe845ad115.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c988ef35a2339d0b21494454554c3fc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74acb7d9fab18a6cd6f07afbd4635f46.png)
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解题方法
8 . 已知锐角
的内角
的对边分别为
,其外接圆半径
满足
.
(1)求
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/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98efd4a599015a2ccea565fe325b82d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5b763032c085a1e60822d8dc1b3605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de9f231598dc79e24a7b9600ee6fe187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-03-01更新
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2卷引用:青海省西宁市第五中学2023-2024学年高一下学期4月月考数学试题
名校
解题方法
9 . 已知
中,角A,B,C所对的边分别为a,b,c,且
.
(1)证明:
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa5d5cc749d8b8bad2ef0a5b4cd271e.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65c875691cec70bedee102d280f2f31.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06880757d57f2b12384eaf8443f74b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
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2024-02-14更新
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10卷引用:河南省安阳市2024届高三第一次模拟考试数学试卷
河南省安阳市2024届高三第一次模拟考试数学试卷天一大联考2024届高三毕业班阶段性测试(五) 数学试题青海省西宁市第五中学2023-2024学年高一下学期4月月考数学试题河南省焦作市2024届高三一模数学试题(已下线)热点3-3 正弦定理与余弦定理(8题型+满分技巧+限时检测)陕西省安康市高新中学2024届高三下学期2月月考数学(文)试题陕西省安康市高新中学2023-2024学年高三下学期2月月考理科数学试题(已下线)专题1.12平面向量及其应用-重难点突破及混淆易错规避(人教A版2019必修第二册)陕西省咸阳市武功县普集高级中学2023-2024学年高一下学期第1次月考数学试题河南省漯河市高级中学2023-2024学年高一下学期3月月考数学试题
解题方法
10 . 已知数列
满足
.
(1)求
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be2ec2a8ff2f1d5e2d5b6ed4dc38987.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9295ae2257dd744acc4a95c2d5c7536f.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)
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2024-01-03更新
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