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1 . 若向量
,
满足|
|=1,|
|=2且
⊥
,则|
+
|=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108ea10a57efb9cee06546ed8bf26a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc56f59971bd6f2fae7e76a91174d4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108ea10a57efb9cee06546ed8bf26a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc56f59971bd6f2fae7e76a91174d4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108ea10a57efb9cee06546ed8bf26a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc56f59971bd6f2fae7e76a91174d4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108ea10a57efb9cee06546ed8bf26a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e236e47bcf69cd0b825bc1d111e170.png)
A.9 | B.![]() | C.3 | D.![]() |
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2 . 等腰梯形
中,已知
,
,
,点
,
分别在线段
和
上,且
,
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c0ad79161fb29ec231dd0248623ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d276c39029bfe05a2bae80adcfc2a95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6f6dab0308e58c0d268d7555623766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de70b417f01a0099f6d4c5511a7c77ae.png)
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3 . 两个向量
满足
,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935fdfd91d6b8dc7a8573e06555acfc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206133ad634cca0294ab6643c4617423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d3b443940c1fb29d21bbb4cd661c97.png)
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4 . 向量
,
,对
,
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a043c2a92cb073dfe7a88f924cb9d89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb385a34be00668a4cd3159e6fddad75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dd86a99a1f1ace7cd31ffcf8f285ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6be1171cb4cd59d14a26a508099466.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 零向量可以有很多方向,但却只有一个长度,就像我,可以有很多朋友,但却只有你一个值得守护!已知
,
,若
,则
与
的夹角为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deae5171eb718a10261d9b632aa7c2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5198bffaa8d4504da459606cb9d27bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcb140aa73fbe827043dca511ea1335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf5d6665fdc97227d3abee58a004e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f72b662a36c7f789a16052cb918241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deae5171eb718a10261d9b632aa7c2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcb140aa73fbe827043dca511ea1335.png)
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6 . 若两单位向量
,
的夹角为60°,则
=2
,
=3
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc2c1c8436a4de274e3f20918b8376a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/051f542f90afc6ff3d532907f4960080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108ea10a57efb9cee06546ed8bf26a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b595e8557328e3a0e9bf833a134f186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc56f59971bd6f2fae7e76a91174d4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56b5052dbf1106bf917d14db054e625.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-07-05更新
|
358次组卷
|
3卷引用:【全国百强校】湖北省荆州中学2017-2018学年高一上学期期末考试数学(文)试题
7 . (1)已知
求
与
的夹角;
(2)已知
若
求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96d04e2b2a2e55be9953674b8b47b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4a5abdb012acd1b63c03d9c226466f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ba27dae8785fdcc9ef44f8613761e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2018-04-25更新
|
521次组卷
|
3卷引用:湖北省荆州市沙市中学2017-2018学年高一下学期期中考试数学试题
名校
8 . 已知向量
,
,
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcdccd9d882fb75845576952d8d6b564.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2436ceefe6943b41626fa5ac12aac45.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/dcdccd9d882fb75845576952d8d6b564.png)
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2018-04-24更新
|
568次组卷
|
2卷引用:湖北省荆州中学2018届高三4月月考数学(文)试题
11-12高一上·湖北荆州·期末
名校
解题方法
9 . 已知
,
,
,
与
的夹角为
,
,
,求实数m,n的值及
与
的夹角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e21d2da07fb16f60927151b7aa68c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0320c9439bff51e67d3bb5fe363315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7557713682c09ec526718378189f9f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edcae6dce99c19f4d881fde2976aa2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d785e24ee6b0cca5f23e5dc17b33677a.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/c24095e409b025db711f14be783a406c.png)
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2020-04-13更新
|
404次组卷
|
4卷引用:2011年湖北省荆州中学高一上学期期末考试数学试卷
(已下线)2011年湖北省荆州中学高一上学期期末考试数学试卷内蒙古平煤高级中学2017-2018学年高一下学期第二章单元检测数学试题专题06 平面向量及其应用 复习与检测(知识精讲)-【新教材精创】2019-2020高一数学新教材知识讲学(人教A版必修第二册)-《高中新教材知识讲学》(已下线)第6章 平面向量及其应用 综合 (导学案)-2021-2022学年高一数学同步备课 (人教A版2019 必修第二册)
名校
10 . 已知
为单位向量,
,则
的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7b8925a75bc1ef601edb37dbfb9f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d2bb1248ff1123ebc2cb9d7fc16d25.png)
A.1 | B.![]() | C.2 | D.3 |
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2018-02-13更新
|
816次组卷
|
4卷引用:湖北省荆州中学、宜昌一中等“荆、荆、襄、宜四地七校考试联盟”2018届高三2月联考数学(文)试题1