名校
解题方法
1 .
的内角
,
,
所对的边分别为
,
,
向量
与
平行.
(1)求
;
(2)若
,
,求
的面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/eff9a3711e02e78f2b5ec80c52b9f839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d92b746ef04923ad9bf694c435f2be.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa79a550591eb9e1bd07bced3a08fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
2020-02-13更新
|
564次组卷
|
3卷引用:重庆市渝东六校联盟2018-2019学年高一下学期期中联考数学试题
名校
2 . 已知平面向量
,
.
(1)若
∥
,求
的值;
(2)若
,求
,以及向量
在向量
方向上的投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c79176329501b314afeeb583c2ac17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce679feeb55852069260700b3652a9d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca7702985467337a01e955f92622f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
您最近一年使用:0次
名校
3 . 已知向量
(cosx,
cosx),
(cosx,sinx).
(1)若
∥
,
,求x的值;
(2)若f(x)
•
,
,求f(x)的最大值及相应x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c3c0d82cbb443d84763b9b1d3f88f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3f8c3ba00c59e0634ed10fa85289de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c5684ccff633c427608fb5599ba1b0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2859333183a1d5749eac25f8b4e3b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efda714bc270ccf8712aaf16f7b08b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a1e127c8f92b5b24f146db29eefdf4.png)
(2)若f(x)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df307f566bf755e3d5ad6cf63c4a6df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efda714bc270ccf8712aaf16f7b08b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a1e127c8f92b5b24f146db29eefdf4.png)
您最近一年使用:0次
2019-12-12更新
|
2727次组卷
|
15卷引用:重庆市万州高级中学2021-2022学年高一下学期3月月考数学试题
重庆市万州高级中学2021-2022学年高一下学期3月月考数学试题江苏省苏州市2019-2020学年高三上学期期中数学试题江苏省苏州市常熟市2019-2020学年高三上学期期中数学试题2020届江苏省苏州市陆慕高级中学高三上学期期中数学试题山东省青岛市胶州市实验中学2019-2020学年高一下学期期中数学试题辽宁省辽河油田第二高级中学2019-2020学年高一下学期期中考试数学试题广东省深圳市科城实验学校2019-2020学年高一下学期第一次线上检测数学试题(已下线)第六章 知识总结及测试-2020-2021学年高一数学一隅三反系列(人教A版2019必修第二册)吉林省长春市第二十九中学2020-2021学年高一下学期期末考试数学试题新疆新源县第二中学2019-2020学年高一上学期期末考试数学试题福建省同安第一中学2021-2022学年高一3月第一次月考数学试题陕西省宝鸡市金台区2022-2023学年高一下学期期中数学试题山东省济宁市兖州区2022-2023学年高一下学期期中数学试题新疆乌鲁木齐市第四中学2022-2023学年高一下学期期末阶段性诊断测试数学试题新疆哈密市第八中学2022-2023学年高一下学期期中考试数学试题
名校
4 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837930645a16b1889f33a9e92b5c59ae.png)
(1)若
与
共线,求
;
(2)若
与
垂直,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f242f038195884ef098a99a274a1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837930645a16b1889f33a9e92b5c59ae.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea1f268299d57e5362182760a5961af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3364b5989fa241b26266c0d96ab9714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea1f268299d57e5362182760a5961af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3364b5989fa241b26266c0d96ab9714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-12-07更新
|
334次组卷
|
2卷引用:重庆市第十八中学2018-2019学年高一下学期第一次月考数学试题
名校
5 . 已知向量
.
(1)若向量
,且
,求
的坐标;
(2)若向量
与
互相垂直,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5221b7ebac8e7482bc452240ce1ca030.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ee3a0e0f06c77f9c6980d15073c693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5b8eb2cdf5bbb1ac234e59ea80cd1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f200069e313c5863a4efab246fd347a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62570fa1490dd3436952b238153b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-10-22更新
|
1736次组卷
|
12卷引用:重庆市杨家坪中学2020-2021学年高一下学期第一次月考数学试题
重庆市杨家坪中学2020-2021学年高一下学期第一次月考数学试题重庆市万州二中教育集团2023-2024学年高一下学期期中考试数学试卷山东省济南市2018-2019学年高一下学期期末学习质量评估数学试题山东省滨州市2019-2020学年高一(下)期末数学试题山东省滨州市2019—2020学年下学期高一年级期末考试数学试题河北省唐山市曹妃甸区第一中学2020-2021学年高一下学期六月月考数学试题甘肃省白银市会宁县会宁县第一中学2021-2022学年高一下学期期中数学试题天津市第四十二中学2019-2020学年高一下学期期中理科数学试题广东省东莞市东莞一中、东莞高级中学2020-2021学年高一下学期第二次质量检测数学试题安徽省合肥市第七中学2022-2023学年高一下学期期中考试数学试卷云南省大理白族自治州祥云县祥云祥华中学2023-2024学年高一下学期3月月考数学试题福建省莆田擢英中学2023-2024学年高一下学期3月月考数学试卷
名校
6 . 在
中,
为直角,
,
,
与
相交于点
,
,
.
(1)试用
、
表示向量
;
(2)在线段
上取一点
,在线段
上取一点
,使得直线
过
,设
,
,求
的值;
(3)若
,过
作线段
,使得
为
的中点,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c607be8fbe8b2701e0451e9322223e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca7757b00ff2bdc8796ccfa33fec0293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6942bd9fc5d090de0cfad7022aa32f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cc63e33fe47da2704cff57d148dde0.png)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00da1c29aea46e36cda0f5780966bb6.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f9c6f622be010cd1d9cc5c13f4fd9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23438690dec68d60e07d2ab6bdbf1d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ebeb198e80f9c2e6406f0601554b92.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228f00eb81c06f6862e15e923109c35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2d713292dd1f9f367d382077c703d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3b182fcad057f49f2360d6d2b4dddf.png)
您最近一年使用:0次
2019-12-10更新
|
1053次组卷
|
6卷引用:重庆市铜梁区第一中学2020-2021学年高一下学期3月月考数学试题
名校
解题方法
7 . 已知向量
满足
,
,
.
(1)若
,求
的坐标;
(2)若
,求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7cad34fccd0fe584087604e863f352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a29901884a42558ac6da65fc48a733a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3013d97b776f8361fd09a14d0b1a5244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a7cfb3724b5e903292cbe0cac15b89.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898a02c66b2703daa25b7a764dc8cf52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14109231a47d5f2a9fb727e39ed72f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
您最近一年使用:0次
2019-06-03更新
|
1256次组卷
|
5卷引用:重庆市第七中学2021-2022学年高一下学期3月检测数学试题
名校
8 . 已知
,
与
的夹角为
,
,
,
(1)当
时,求实数
的值;
(2)当
时,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6edc919574b61a5b18c6e71ba724495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dacd88fdeda4e9c9909fa63b9874836a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47783498ca234053afeeec294a760fb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a7242505f75c2578bb90a43db288f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381a1bf7eff338c251cce42ef8c8145e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
9 . 已知
,
,
,
为坐标原点.
(1)若
,求
的值;
(2)若
,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95e84f5c91c910aaafc5e74dbfbdf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d429efe96d68065e7d433c996682791d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6481e5ef435b6ad8ecac30175f6871bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbee1a90fa01d2760ac109e9f98b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578ce90ea3b5abefc0b9434f7a0aba1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f63dc02238b087ff47e9aa5bf6759d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbab57462e91a8ab238471e2a6c9064.png)
您最近一年使用:0次
2019-01-25更新
|
888次组卷
|
3卷引用:【校级联考】重庆市江津中学、合川中学等七校2018-2019学年高一上学期期末考试数学试题
名校
解题方法
10 . 已知向量
,
,
.
(1)若
,求实数
的值;
(2)若
与
垂直,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4984318d967b210ce49f126794dad06b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d1839b2b35e6293bd7406438ebbd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5518fbf38b20e4b82125629ac4f09b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a683d9cd5f84e07bc351819d9dd96df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f6d8ef8ff7ab3eee77926d47f1f89a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18f38f08db139a2a30c8131b111c1b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2018-06-15更新
|
600次组卷
|
3卷引用:【全国百强校】重庆市彭水一中2017-2018学年高一下学期期中考试数学试题