解题方法
1 . 已知向量
,若
三点共线.
(1)求实数
的值;
(2)若
,求
的坐标;
(3)求
在
方向上的投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56900282673cd47dc14b0e0a5413c8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7915e42fb51e0e5d082d01768618e3e6.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524156ae1ea772e32a0d894b8c905072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75fc81977aee721525b4c5625f5a097.png)
您最近一年使用:0次
2 . 如图,网格中小正方形的边长均为1,
及
是网格线的交点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6f53f422fbb3e93fd291b60db7dd0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817036ef8545a344f2a74873590f1fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6f53f422fbb3e93fd291b60db7dd0.png)
![](https://img.xkw.com/dksih/QBM/2020/3/1/2410341626454016/2412126963957760/STEM/702d1a6e0aa345c1977602c3765c5ea4.png?resizew=187)
您最近一年使用:0次
名校
3 . ![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/f6645f22-1c08-4973-abe0-a06fee86f994.png?resizew=353)
(1)如图,在
中,设
,
,而
与
相交于点
,试用向量
,
表示向量
.
(2)已知
为
的外心,
为
边中点,
,
,求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/f6645f22-1c08-4973-abe0-a06fee86f994.png?resizew=353)
(1)如图,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ff64d06bd4c134ef07748f3d6654e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d4de65b7120d928a10c2f5d2e87a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe35c91649a5bea2518387a2b36e0c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864bc25cd8428dc1824dd4129632fe6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b96bdf51785d5d15292d6a194881ad.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01ef24706af4f7d234123c4cc0e126b.png)
您最近一年使用:0次
名校
4 . 已知
,
与
的夹角
,则
在
方向上的投影为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0b40ab957abd03f1db03ddf71242fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3cc805723d3ecc95b4472d13bb1bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3cc805723d3ecc95b4472d13bb1bb6.png)
您最近一年使用:0次
2020-02-17更新
|
412次组卷
|
5卷引用:重庆市实验外国语学校2018-2019学年高一下学期高中学业质量调研抽测数学试题
名校
解题方法
5 . 已知向量
的夹角为
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc781bfb930aa545ccdc67ca8ec4098.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21e2f1ab7c983cd9328fdc6e281949f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc781bfb930aa545ccdc67ca8ec4098.png)
您最近一年使用:0次
名校
6 . 已知向量
,
满足
,
,且
,则
在
方向上的投影为_______ .
![](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/e708be069ecbfa5b18d36b40d0b8ccec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ecb843a076d5404d8c71057d0c917d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24fd8030c49c1bd3d424dee27a14ac42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
您最近一年使用:0次
2019-11-14更新
|
2037次组卷
|
11卷引用:河南省开封市五县联考2019-2020学年高一下学期期末考试数学试题
河南省开封市五县联考2019-2020学年高一下学期期末考试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山西省太原师范学院附属中学2019-2020学年高一下学期第一次(线上4月)月考数学试题四川省宜宾市叙州区第二中学校2019-2020学年高一下学期第四学月考试数学(理)试题安徽省六安市舒城中学2019-2020学年高一下学期第一次月考数学(文)试题安徽省六安市舒城中学2019-2020学年高一下学期第一次月考数学(理)试题新疆维吾尔自治区行知学校2019-2020学年高三上学期11月月考数学(理)试题2019届安徽省安庆一中高三下学期6月第四次模拟考试数学(文)试题四川省绵阳南山中学2020-2021学年高三9月月考数学(理)试题四川省绵阳第一中学2021届高三一诊适应性考试数学(文)试题四川省绵阳第一中学2021届高三一诊适应性考试数学(理)试题
名校
7 . 设向量
,
,
.
(1)若
,求实数
的值;
(2)求
在
方向上的投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf63f7acaad3885c57512a39f4865756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002c5922215d45679781b0c31afee517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d119171533c6772b734aabc726a656.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5e1b29a5934d19c2b7c2db800ad5ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
您最近一年使用:0次
2019-08-23更新
|
1158次组卷
|
7卷引用:河南省濮阳市2019-2020学年高一下学期升级考试(期末)数学(理)试题
河南省濮阳市2019-2020学年高一下学期升级考试(期末)数学(理)试题河南省濮阳市2019-2020学年高一下学期升级考试(期末)数学(文科)试题上海市曹杨二中2018-2019学年高一下期末数学试题四川省仁寿第二中学、华兴中学2019-2020学年高一5月联考(期中)数学试题四川省宜宾市第四中学2019-2020学年高一下学期第四学月考试数学试题(已下线)8.1.1 向量数量积的概念-2020-2021学年高一数学课时同步练(人教B版2019必修第三册)(已下线)专题2.3 平面向量【专项训练】-2020-2021学年高一数学下学期期末专项复习(沪教版2020)
名校
8 . 已知向量
是单位向量,
=(3,4),且
在
方向上的投影为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db0f724f732c7a64d9a2212911d88f3.png)
![](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/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af31ae78b8d67797eda6da26724eef9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db0f724f732c7a64d9a2212911d88f3.png)
A.36 | B.21 | C.9 | D.6 |
您最近一年使用:0次
2019-07-04更新
|
2459次组卷
|
3卷引用:河南省洛阳市2018-2019学年高一下学期期末数学试题
9 . 已知向量
,
满足|
|=2,|
-3
|=5,|
+3
|=1,则
在
方向上的投影为( )
![](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/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](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/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.![]() | B.1 | C.![]() | D.2 |
您最近一年使用:0次
10 . 设向量
,
满足
,
,且
,则向量
在向量
方向上的投影为
![](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/7143c24a0f6abee7f14a3f1a8ddbb467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1a967c139cd07a874e9969c9b4f357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d752da184267996aeed03978c4514509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b37b1b1c2803e723337c20b554c5cd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次