名校
解题方法
1 . 已知
中,内角
所对的边长分别为
,请用坐标法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c1e84aaa7e1b5c1283075b36c72fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee46ca0c5ad5a133433f4279b8d6e43.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/18/4d244a7a-da56-4ad2-984f-5e9c417b961e.png?resizew=188)
您最近一年使用:0次
名校
解题方法
2 .
的内角
,
,
的对边分别为
,
,
,已知
.
(1)求角
的值;
(2)若
的面积为
,
边上的中线长为1,求
的值.
![](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/345478732ad4d9d834960848c2fc50e9.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-10-17更新
|
1407次组卷
|
3卷引用:江西省萍乡中学、新余市第一中学2023-2024学年高二上学期创新班联考数学试题
江西省萍乡中学、新余市第一中学2023-2024学年高二上学期创新班联考数学试题云南省部分名校2024届高三上学期10月联考数学试题(已下线)第六章 平面向量及其应用(单元重点综合测试)-数学单元速记·巧练(人教A版2019必修第二册)
名校
3 . (1)已知点
到定点
的距离与到定直线
的距离之比为
,求点
的轨迹方程;
(2)已知点A是圆
上的动点,过点A作
轴,垂足为
,点
在线段
上,且
,求点
的轨迹方程,并说明点
的轨迹是什么图形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166aa9f383b46923a5da80bfbc1f1e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64e76a4c1e5934f51cdca2ffbc8313f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)已知点A是圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24624dffd30b66a5e4de57362b32b2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8951193cf1987d559774a6320e6a97a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2023-10-10更新
|
1247次组卷
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5卷引用:江西省部分学校2023-2024学年高二上学期10月月考数学试题
江西省部分学校2023-2024学年高二上学期10月月考数学试题江西省抚州市第一中学2023-2024学年高二上学期10月月考数学试题辽宁省朝阳市建平县实验中学2023-2024学年高二上学期期中数学试题云南省曲靖市师宗平高学校2023-2024学年高二上学期10月月考数学试题(已下线)专题20 椭圆的标准方程5种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)
名校
解题方法
4 . 已知双曲线
过点
且与双曲线
有共同的渐近线,
,
分别是
的左、右焦点.
(1)求
的标准方程;
(2)设点
是
上第一象限内的点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db784004e82c64c5f290e52b6c27056a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3eadb24687aacbe863534bfa599b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34005d3b709a89e3db6bb786bbfb2369.png)
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2024-02-14更新
|
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4卷引用:江西省部分学校2023-2024学年高二下学期3月月考数学试题(九省联考新题型)
江西省部分学校2023-2024学年高二下学期3月月考数学试题(九省联考新题型)1号卷·A10联盟2022-2023学年(2021级)高二上学期11月期中联考数学试卷(北师大版)(已下线)2.3.2 双曲线的性质(二十二大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)上海市向明中学2023-2024学年高二下学期期中考试数学试题
名校
5 . 已知向量
,向量
.
(1)当
时,求
的值;
(2)设函数
,且
,求
的最大值以及对应的x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9fda3ee81ea7946a16fd4bc057c28f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47a2b42cc4d4531f0307ba918e2eeec.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc9c22e445fd2e7d7e33f87116dbd1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c5a05a11f731194a845e68a0479ce4.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11dafbe276fc527f41986c63d94b9429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-09-14更新
|
522次组卷
|
2卷引用:江西省万安中学2023-2024学年高二上学期开学考试数学试题
解题方法
6 . 已知
是平面内不共线的单位向量,
是该平面内的点,且
,
,
.
(1)若
,求
;
(2)若
三点共线,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7147ca48d60f169fab98d1f8aa3287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55cc11a15ed9953a88212b253dc60108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a2ea707cfc36619ffa4cf33351a263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38e86a57a8ee77225c2af11b8fe0662.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6897c3746574e32d50ebc92f872cd7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
7 . 已知平面向量
.
(1)若
与
垂直,求
的值;
(2)若向量
,若
与
共线,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2338d8f0a2b6eb65ffd5ed7d9fd7a28c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d108e523626be0b40be9b3543ce12524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4e49d17d4ad440d37c6f4bc8daba25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb66e97cfb69b8a59770c6ac1d9b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbdb82455bba02bddce8d3cca6affbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc23a04cdac6439ea170e799f1c1df5.png)
您最近一年使用:0次
2023-08-22更新
|
531次组卷
|
3卷引用:江西省宜春市宜丰县宜丰中学2023-2024学年高二上学期9月月考数学试题
名校
解题方法
8 . 已知向量
,
满足
,且
,
.
(1)求
;
(2)若
与
的夹角为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2a02db22bc165cfc8984e70fb396cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7958a6bddd1d578bbd6fbcb92e3f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2023-08-11更新
|
363次组卷
|
4卷引用:江西省宜春市丰城厚一学校2023-2024学年高二上学期开学考试数学试题
名校
9 . 已知
,
,
.
(1)若
,求实数
的值;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e258bfd6a61b8b1b75668526654863a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b1305dff4fc89f3e8bc75fa7c258de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f94b5e2d690e73d130e99736b43b892a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e5b84b4c78470540604312fb34cbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d831802b48c1f5cd708ea72d54d38015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-07-16更新
|
352次组卷
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3卷引用:江西省都昌县第一中学2023-2024学年高二上学期入学考试数学试题
江西省都昌县第一中学2023-2024学年高二上学期入学考试数学试题江西省上饶市2022-2023学年高一下学期期末教学质量测试数学试题(已下线)专题01 高一下期末真题精选(1)-期末考点大串讲(人教A版2019必修第二册)
10 . 已知
是同一平面内的两个向量,其中
且 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435a502664443d6b7c6f37816cb592f6.png)
(1)若
求
的坐标;
(2)若
求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb371bd7728c6d6a16533a93924ad998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6322fbe0fbabd12f02f54673d3cf5bde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435a502664443d6b7c6f37816cb592f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327a9ee1f38b5f5a9870571d605924b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2406261b49b3e2b92ebe23aabaf05cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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2023-07-10更新
|
145次组卷
|
2卷引用:江西省宜春市丰城市第九中学2023-2024学年高二上学期开学考试数学试题