1 . 已知向量
夹角为60°,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc96d4f8fc3ba8720254f398188ae98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db53014cf19063194244c1000ab3fcd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2021-08-24更新
|
169次组卷
|
2卷引用:广东省高州市2019-2020学年高一下学期期末数学试题
名校
2 . 已知向量
,
.
(1若
,求实数
的值:
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b0459ded105c937056507489f2524b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffcc21ffa986fd2a5d15134490bd32a.png)
(1若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076d60dd9a9db2d741198de68333aed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a673a996afba7bc8f184f13e908e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-03-04更新
|
183次组卷
|
4卷引用:广东省茂名市信宜市第二中学2021-2022学年高二下学期开学热身考试数学试题(Ⅲ卷)
3 . 已知两个向量
,
满足
,
,且
与
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787902056794fd718bfeec12825522b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd18461fd9d77e6fa46a654f0ab540f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3b8e7beb5d2f382128928447717a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787902056794fd718bfeec12825522b.png)
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4 . 若非零向量
,
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b33ceacb7836ccd98815e08a20cd2be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08ad074205439d0c6e2f1591883be40.png)
,则向量
与
的夹角为_________ .
![](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/3b33ceacb7836ccd98815e08a20cd2be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08ad074205439d0c6e2f1591883be40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2cdb6131a49d6cef03aec801a4b0f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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2016-12-03更新
|
680次组卷
|
2卷引用:广东省茂名市2022届高三下学期调研(二)数学试题
5 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2a00165a62422c537ff7dd411c54e4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28280aaac77be24aa72379e49b6f01e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b589263441273a16c8735746a39eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2a00165a62422c537ff7dd411c54e4.png)
您最近一年使用:0次
9-10高一下·浙江杭州·期中
名校
6 . 若平面向量
与
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/1508f3ca7797b21ee388b56410103c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fe21e4310277189ba4082aae08cc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8a4d21c520f5a154f71b40f8e7ee05.png)
您最近一年使用:0次
2016-11-30更新
|
1145次组卷
|
9卷引用:广东省化州市2018届高三上学期第二次高考模拟考试数学(文)试题
广东省化州市2018届高三上学期第二次高考模拟考试数学(文)试题(已下线)2010年浙江省杭州市七校联考高一下学期期中考试数学(已下线)2011届福建省三明一中高三第二次月考理科数学卷(已下线)2011届福建省厦门六中高三上学期11月月考理科数学卷河南省八市重点高中2018届高三第一次测评(9月) 数学(理)广西柳州市2018届高三毕业班上学期摸底联考数学(文)试题山东省邹城市第一中学2018届高三上学期期中考试数学(文)试题山东省邹城市第一中学2018届高三上学期期中考试数学(理)试题湖南省常德市第一中学2020-2021学年高三上学期第四次月考数学试题
7 . 已知向量
满足
,
,
,则向量
夹角的余弦值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406b5eb37772dba7e4884a6c25a51d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd18461fd9d77e6fa46a654f0ab540f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082c6926889f84f438ea35f70bf05f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64693c2b037c0161886d0c7259fb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406b5eb37772dba7e4884a6c25a51d1a.png)
您最近一年使用:0次
8 . 设向量
,
满足|
|=|
|=1,
•
=
,则|
+
|等于
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/74aec2cc8b3a41e2aeed71f8526ab5b7.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/2c5f8e927c0547bf97e10051dda04e7a.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/74aec2cc8b3a41e2aeed71f8526ab5b7.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/2c5f8e927c0547bf97e10051dda04e7a.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/74aec2cc8b3a41e2aeed71f8526ab5b7.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/2c5f8e927c0547bf97e10051dda04e7a.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/7d27dc651bbf424597f7149994f9ceec.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/74aec2cc8b3a41e2aeed71f8526ab5b7.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532885184512/1572532890771456/STEM/b4db6ce602344dc0a2547328c0798285.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc781bfb930aa545ccdc67ca8ec4098.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3f8682540cd84c62e6fa835cd02f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c9467955421afc26bd7c9983fb1ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840f00b17837c9f10c7888d4b112f3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc781bfb930aa545ccdc67ca8ec4098.png)
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名校
解题方法
10 . 已知向量
,
满足
,
,
,则
( )
![](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/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.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/92095f3b8b3ca41b60fc2473f6ec7f35.png)
A.![]() | B.![]() | C.8 | D.40 |
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