名校
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)
您最近一年使用:0次
7日内更新
|
1675次组卷
|
4卷引用:河北省保定市2024届高三下学期第二次模拟考试数学试题
名校
解题方法
2 . 已知向量
,
满足
,
,
.
(1)求
的值;
(2)求向量
与
的夹角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ae0d7b3266f32b6a916b6237b6b838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b113dc271cf51b3018bd1de14edf73ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40d12bdf2e3c49a596d1ae934938978.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5767aa41f470fb08e512f12f2ce3b8ae.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d108e523626be0b40be9b3543ce12524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
名校
解题方法
3 . 已知向量
满足
.
(1)若向量
的夹角为
,求
的值;
(2)若
,求
的值;
(3)若
,求向量
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1eea45a8f50799dbe8ac66d5b920cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b801f8894321f2f968d16bb2489f4b8.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1eea45a8f50799dbe8ac66d5b920cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7a3159579864a8ea0ab42005144864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69675297ad47573dff42e347f8eaed57.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b267f9f18848d807a4c53a78440d08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc07272724b47f1699fae229c466bee.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8284b046f24014031527550e5e3ae4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1eea45a8f50799dbe8ac66d5b920cdf.png)
您最近一年使用:0次
名校
4 . 已知
的内角
的对边分别为
,且向量
共线.
(1)求
;
(2)求
;
(3)若
为
的内心,求
.
![](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/4e62bbd30297092430abb91d978a669f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df16e68d89c8913b6fef753fcb0d428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a704469569b68ee11ab166dba3f686f0.png)
您最近一年使用:0次
2024-04-25更新
|
529次组卷
|
5卷引用:河北省沧州市沧县中学等校2023-2024学年高一下学期3月联考数学试题
名校
解题方法
5 . 如图,在
中,
是
的中点,
是线段
上靠近点
的四等分点,设
.
长为
长为
,求
的长;
(2)若
是
上一点,且
,试判断
三点是否共线?并说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211429ce394297f664f6b8e16edec714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa98090f1126d9e642cdaaeef34ccf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bc08b9379d5f64567b68c49e5eb8a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ee1ea509875a6ce53b37e5e25d0ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4817f6d025306bfcba653b4e8d4dc6.png)
您最近一年使用:0次
2024-04-23更新
|
407次组卷
|
5卷引用:河北省沧州市沧州十校2023-2024学年高一下学期3月月考数学试题
河北省沧州市沧州十校2023-2024学年高一下学期3月月考数学试题河南省洛阳市洛阳强基联盟2023-2024学年高一下学期3月联考数学试题河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考(一)(3月)数学试题(已下线)模块五 专题4 全真能力模拟2(北师版高一期中)(已下线)模块五 专题四 全真能力模拟2(高一期中模拟)
名校
解题方法
6 . 在
中,已知
,
,
,BC、AC边上的两条中线AM、BN相交于点G.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/15/43417bdc-5b7d-40ab-a37c-80d441039b92.png?resizew=158)
(1)求
、
;
(2)求
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb8e20db1fbb40f17dea52f951b907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/15/43417bdc-5b7d-40ab-a37c-80d441039b92.png?resizew=158)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f580d157cf3e3b90c4c11a36e8fb467c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd084e881d380464cc73aee4697f678.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377962502ccf0435ed3bc89ec4fe594d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8b2808877c3a2ec598fec709cfa579.png)
您最近一年使用:0次
2024-04-11更新
|
269次组卷
|
2卷引用:河北省石家庄市第二中学2023-2024学年高一下学期学情调研(一)数学试题
名校
7 . 已知向量
,
满足
,
.
(1)求
与
的夹角;
(2)若
,
,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a070baf29985700b7697352785a2caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03815fd0167e3b391b6158fd112f51c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f3009dd52213b0ff6af84b27a11e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef809fd5a5a3fd83236a3bbc1a788f9.png)
您最近一年使用:0次
名校
解题方法
8 . 已知向量
,
满足
,
,且
,
的夹角为
.
(1)求
;
(2)若
与
互相垂直,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/27cbd3ad4cfa6d2a99a3cf2217f96134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194537355c89656428e712610562c234.png)
![](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/be6a6301878fed2a01413020b27310a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e797aba4bacf146dde7b34166a59bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0f5d6389672e98b7a226d86706c390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-03-29更新
|
328次组卷
|
3卷引用:河北省张家口市张北成龙高级中学2023-2024学年高一下学期3月阶段测试数学试题
名校
9 . 已知向量
和
,则
,
,
求:
(1)
的值;
(2)
的值;
(3)
与
的夹角θ的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ae0d7b3266f32b6a916b6237b6b838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12426b5d83fbf89b72aadd606fd0cd3a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410492abf31c0681c714734c714d82a5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffa3e1ce447d158f6084a66841307a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
2024-02-23更新
|
6357次组卷
|
21卷引用:河北省唐山市第五中学2023-2024学年高一下学期开学考试数学试题
河北省唐山市第五中学2023-2024学年高一下学期开学考试数学试题河北省沧州市献县实验中学2023-2024学年高一下学期3月月考数学试题河北省邯郸市大名县第一中学2023-2024学年高一下学期3月月考数学试卷河北省石家庄二中实验学校2023-2024学年高一下学期3月月考数学试题(已下线)8.1.2向量数量积的运算律-同步精品课堂(人教B版2019必修第三册)(已下线)高一数学第一次月考模拟卷(范围:平面向量+复数)-同步精讲精练宝典江苏省扬州市广陵区红桥高级中学2023-2024学年高一下学期3月月考数学试题江苏省盐城市五校联盟2023-2024学年高一下学期第一次学情调研检测(3月)数学试题甘肃省兰州新区贺阳高级中学2023-2024学年度高一下学期3月月考数学试题天津市和平区汇文中学2023-2024学年高一下学期第一次月考数学试题广东省深圳市桃源居中澳实验学校2023-2024学年高一下学期3月全国港澳台侨联考数学试卷天津市北辰区南仓中学2023-2024学年高一下学期3月教学质量过程性监测与诊断数学试题广东省江门市某校2023-2024学年高一下学期第一次质量检测数学试题江苏省常州市第二中学2023-2024学年高一下学期3月月考数学试卷福建省华安县第一中学2023-2024学年高一下学期第一次月考数学试卷重庆市杨家坪中学2023-2024学年高一下学期3月月考数学试卷山东省聊城颐中外国语学校2023-2024学年高一下学期第一次质量检测数学试题四川省宜宾市珙县中学校2023-2024学年高一下学期3月月考数学试题山东省青岛超银高级中学2023-2024学年高一下学期4月月考数学试卷(已下线)2.5 从力的做功到向量的数量积6种常见考法归类(2)-【帮课堂】(北师大版2019必修第二册)北京市第四中学顺义分校2021-2022学年高一下学期期中考试数学试卷
名校
解题方法
10 . 已知向量
,
满足
,
,
.
(1)求
与
夹角的余弦值;
(2)求
;
(3)在平行四边形
中,若
,
,求平行四边形ABCD的面积.
![](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/c02af59613596682734297aebc578801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e405db6c09d6ab5739cabbb63cd3b3bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe0c5d119ec2029a51b2592968d8f49.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16111d1425b87ba82ea6a706d1dfb3ef.png)
(3)在平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
您最近一年使用:0次
2024-02-20更新
|
882次组卷
|
6卷引用:河北省保定市高碑店市崇德实验中学2023-2024学年高一下学期3月月考数学试题