解题方法
1 . 已知向量
.
(1)若
,求
的值;
(2)若
与
共线,求与
同向的单位向量的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fab546968c605cbde48a416e1ccdd5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c17efa486730dd08dc535c1145a579ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
2023-08-01更新
|
448次组卷
|
3卷引用:江西省重点中学九江六校2022-2023学年高一下学期期末联考数学试题
江西省重点中学九江六校2022-2023学年高一下学期期末联考数学试题四川省广安市友谊中学实验学校2023-2024学年高三上学期10月月考理科数学试题(已下线)第04讲 平面向量基本定理及坐标表示-《知识解读·题型专练》(人教A版2019必修第二册)
解题方法
2 . 已知向量
,
,
.
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c8d72027552130d5f6fea0bfe91784.png)
(2)若
与
共线,求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7241df5ad69b7ef8b73e5e28d836e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22fb4cb93da0042f4a5573a8429edb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27521fd7221ad6934999b336f337de5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c8d72027552130d5f6fea0bfe91784.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb667795acdfafa436ee35e152adbc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
您最近一年使用:0次
2023-07-31更新
|
106次组卷
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2卷引用:湖南省常德市汉寿县第五中学2022-2023学年高一下学期第一次月考数学试题
解题方法
3 . 已知锐角
的内角A,B,C的对边分别为a,b,c,
,
,且
,且满足
.
(1)求角A的大小;
(2)求
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e29ef1df31a46eb122ba9c6800134e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943d64c00d408ce652c78b3d552d8e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b5f7053c7a9f7582246ca606d55f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
(1)求角A的大小;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-07-28更新
|
994次组卷
|
2卷引用:安徽省宣城市2022-2023学年高一下学期期末调研测试数学试卷
解题方法
4 . 已知
,如图,在
中,点
满足
,
是线段
上一点,
,点
为
的中点,且
三点共线.
的最小值.
(2)若点
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d812643e080d4d447fab7fe2ae2646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fa908112806dc176b8abdc3b3aaa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5695771008b97a5fffe6eb540d54c2f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fc30fe92ea3aa9a6e2612967c34a82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9ba90b720518d70eb4d365b2afaeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fba4700b8f86218dc3e46bbf241dd7a.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3daf7bdfa5ceea443c48b67024b67111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34222f515ad31e48cf84309c013ad41a.png)
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2023-07-27更新
|
703次组卷
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11卷引用:河北省保定市六校联盟2022-2023学年高一下学期期中联考数学试题
河北省保定市六校联盟2022-2023学年高一下学期期中联考数学试题(已下线)第二节 平面向量基本定理及坐标表示 A素养养成卷(已下线)专题07 向量的应用-【寒假自学课】(苏教版2019)(已下线)6.3.1平面向量基本定理-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)6.2.3 向量的数乘运算-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)第06讲 6.3.1平面向量基本定理-【帮课堂】(人教A版2019必修第二册)(已下线)3.2 空间向量基本定理(五大题型)(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)(已下线)6.4.1 平面几何中的向量方法-同步题型分类归纳讲与练(人教A版2019必修第二册)(已下线)6.3.1 平面向量基本定理——课后作业(巩固版)(已下线)6.2.3 向量的数乘运算——课后作业(巩固版)内蒙古呼和浩特市回民区2023-2024学年高一下学期期中考试数学试题
解题方法
5 . 已知向量
,
,
,
.
(1)求
的值;
(2)若
与
同向,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5f2ff531ac73b79490f0b881bd2876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35526e00fd9ba79c09a92f7a0bfaa1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d46318d2345e621eb0b019d84409fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460e5ba67828c57daf2edb497fb52e56.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/d5388672bc114137673d1a773dfafa93.png)
您最近一年使用:0次
6 . 已知锐角
中,三个内角为A、B、C,两向量
,
.若
与
是共线向量.
(1)求
的大小;
(2)若
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43258703e1d42d6d9b30b6b373c14ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18c2c45b2290a8ec5fcdbd85e5b4220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4478fcaef66e8a6a96925ce12d0f8e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5186ca272d0cbf0ee500e4a1dce008.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbba49f7d60451dac65bbebc35bafa14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f511880834175ac4546ea7cc7758b1b0.png)
您最近一年使用:0次
22-23高一下·福建宁德·期末
名校
解题方法
7 . 已知
为平面向量,且
.
(1)若
,且
与
垂直,求实数k的值;
(2)若
,且
,求向量
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f99645c5aa5800b219c4d9f0baebcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0035fcdc6a2dfb5836f4dc93dcaf9386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e773ac3c6d9ce944132bc0b0001999fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
您最近一年使用:0次
2023-07-16更新
|
309次组卷
|
3卷引用:福建省宁德市2022-2023学年高一下学期期末质量检测数学试题
(已下线)福建省宁德市2022-2023学年高一下学期期末质量检测数学试题福建省永春第一中学2023-2024学年高一上学期8月月考数学试题福建省厦门市杏南中学2023-2024学年高一下学期3月月考数学试题
名校
解题方法
8 . 在平面直角坐标系
中,已知点
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d056dd599997e4c670e59843d8fe334d.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8ffec55dc1c43b460a8fef3a468d6c.png)
(1)求
的值;
(2)
是坐标平面上的点,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573fa7a33c1dfb0fb24e431bf3aadc1b.png)
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fd4da08956db1f206c8ea026f4e52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d056dd599997e4c670e59843d8fe334d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcaceadc00d891e292c8bdff9e4ce64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8ffec55dc1c43b460a8fef3a468d6c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ab3e9f17b2020538343506e7c2b75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd0e03d6f914c9f54b83eba336394002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573fa7a33c1dfb0fb24e431bf3aadc1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4e98c351e668969b9d2ee895745acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8b12e3bed2aff0970b56787253bc90.png)
您最近一年使用:0次
2023-07-13更新
|
556次组卷
|
7卷引用:河南省周口市2022-2023学年高一下学期期末数学试题
河南省周口市2022-2023学年高一下学期期末数学试题(已下线)第三节 平面向量的数量积及应用 A素养养成卷甘肃省酒泉市2023-2024学年高三上学期10月联考数学试题(已下线)第08讲 6.3.5平面向量数量积的坐标表示-【帮课堂】(人教A版2019必修第二册)陕西省西安市西安交大附中2023-2024学年高二下学期第一次月考数学试题陕西省西安市西安交大附中2023-2024学年高一下学期第一次月考数学试题(已下线)专题02 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)
名校
解题方法
9 . 设A、B、C、D为平面内的四点,且
,
,
.
(1)若
.求D点的坐标;
(2)设向量
,
,若向量
与
垂直,求实数k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c730266ecf448c14608e24d37b986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87859748d7c7d665df7d430856bae01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114460aab294eb99eec63e94b675216f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea53167e60459eac1b64c734a3f1b48b.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d458bed4c0f3e91667eb8705c9c90d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124fe698dfc2eb13c07572eac9a180e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0035fcdc6a2dfb5836f4dc93dcaf9386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
您最近一年使用:0次
2023-07-12更新
|
300次组卷
|
3卷引用:四川省成都市府新区2022-2023学年高一下学期期末数学试题
解题方法
10 . 如图,在△ABC中,
,
,
,D为BC的中点,E为AB边上的动点(不含端点),AD与CE交于点O,
.
,求
的值;
(2)求
的最小值,并指出取到最小值时x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dcb19f7d21459e6da5a6bd97acb98bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077d0ded095aeb9b8a561f01f43d9132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d799dcd1a10fdfffeb26c4df6fcfdfd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94376e3e25de7fa4e506d40446b22ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad80e3ab1fec52b8062fcfd192874c0a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d70da01b3803ede8a3f8e2cbb9c66b.png)
您最近一年使用:0次
2023-07-10更新
|
209次组卷
|
3卷引用:湖南省益阳市桃江县2022-2023学年高一下学期7月期末数学试题
湖南省益阳市桃江县2022-2023学年高一下学期7月期末数学试题山东省聊城颐中外国语学校2023-2024学年高三上学期第一次月考数学试题(已下线)高一下学期期末复习解答题压轴题二十四大题型专练(1)-举一反三系列(人教A版2019必修第二册)