名校
1 . 在
中,已知
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fad912b7ee9d777786d1d796429e7b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842822ade973beac5d8612cf79494a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bbfb3b293f74a652014328799cedee.png)
A.1 | B.3 | C.2 | D.![]() |
您最近一年使用:0次
2020-12-30更新
|
124次组卷
|
3卷引用:江苏省南京市江宁高级中学2020-2021学年高三上学期迎接八省联考适应性练习数学试题
名校
2 . 已知△
是边长为2的正三角形,则
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f228741ae090b363dbb8821a00160109.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-12-22更新
|
436次组卷
|
2卷引用:江苏省南京市第二十九中学2020-2021学年高一下学期期末数学试题
名校
解题方法
3 . 若向量
、
满足
、
,且
、
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8a4d21c520f5a154f71b40f8e7ee05.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/70e310702748855c3edccd151aae0143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.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/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8a4d21c520f5a154f71b40f8e7ee05.png)
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名校
4 . 在
中,若
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12726d9dbbca09bec6b226ebdb606dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9aa2e64a006d2978b7a6945b126db42.png)
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2016-12-03更新
|
755次组卷
|
4卷引用:2016届江苏省如东高中高三上学期期中考试数学试卷
5 . 在边长为
的正方形
中,
分别为
的中点,设
,
.
(1)试用
表示
.
(2)求向量
、
的夹角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8f2cf879013b08ce4eb934a0a7f2bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d67f0d0624e9c8ab485d4ea58be03f.png)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253e082ecc18f9653d15298dbf4fff79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b600ebb13080d7a673e1ae2d636c3e7.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbf841c5400eaf3504280d1cb9350cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0caebc6f5f4a8b9f4188216ba4913e.png)
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2019-12-04更新
|
112次组卷
|
5卷引用:期末综合检测04-2020-2021学年高一数学下学期期末专项复习(苏教版2019必修第二册)
(已下线)期末综合检测04-2020-2021学年高一数学下学期期末专项复习(苏教版2019必修第二册)上海市南汇一中2018-2019学年高二上学期期中数学试题沪教版(2020) 必修第二册 领航者 第8章 平面向量 8.3 向量的坐标表示 第1课时 向量基本定理沪教版(2020) 必修第二册 领航者 一课一练 第8章 8.3 第1课时 向量基本定理沪教版(2020) 必修第二册 单元训练 第8章 单元测试(B卷)
名校
6 . 在平面四边形
中,对角线
,
相交于点
,
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a71ab7059930614e4ede8709040d75.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1522cbc54d32f2382d61a5a9858c5cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a71ab7059930614e4ede8709040d75.png)
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7 . 如图,在平行四边形
中,
,若
分别是边
上的点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb8ae6a1108fd8c024dfc780dcecd7b.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa769fec8cf5b55d4ac59e5ea66b2dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ced9844fe2e052c70486af0740afa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412a146fc08d2453e0e2694055f0e4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb8ae6a1108fd8c024dfc780dcecd7b.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572661406351360/1572661412233216/STEM/3667ccf01d8040028dc24f1bfe41fc61.png?resizew=257)
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名校
8 . 在
中,
,
,
,
是线段
的三等分点,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aedf65d7d930fdb972d4802c0dea8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9dab0293dbad92fe84bad6b0d957bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d4525ba93f2398f4cb11ca32a41662.png)
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解题方法
9 . 已知向量
满足
,则
与
的夹角为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a838d9d01d18ed8cfb34d302cd74c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a1a014ed6aa44c3b63e91226a83435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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12-13高一上·江苏淮安·期末
10 . 已知向量
,
.
(I)若向量
的夹角为
,求
的值;
(II)若
,求
的值;
(III)若
,求
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e310702748855c3edccd151aae0143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b532ff725ed321148010644e7f0e05f.png)
(I)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183df602ac4fe38358d30d2a0daf3acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
(III)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683a0e69dfb864c40ec858cd819568f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
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