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1 . 等边三角形
的边长为1,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d91fd05e4ea4f4031e80092ad2a89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d91fd05e4ea4f4031e80092ad2a89e.png)
A.0 | B.-3 | C.![]() | D.![]() |
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2019-02-05更新
|
822次组卷
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2卷引用:【全国百强校】湖北省荆州中学、宜昌一中等“荆、荆、襄、宜四地七校考试联盟”2019届高三上学期期末考试数学(文)试题
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2 . 已知平面向量
,
则
的最大值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f72d75e4d2e93642466347d12312cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94132c0a84504da22f25b780ca9e733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c8229ec7ad597a53f17d93f4d0e9a1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-09-16更新
|
327次组卷
|
3卷引用:湖北省荆州市石首市2021-2022学年高一下学期期中数学试题
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3 . 如图,设
中角
所对的边分别为
为
边上的中线,已知
,且
,
![](https://img.xkw.com/dksih/QBM/2022/3/23/2942404491608064/2944018805596160/STEM/6f070fe0-2e93-47f7-b722-3b9b285528e0.png?resizew=373)
(1)求
的值.
(2)设点
分别为边
上的动点,线段
交
于
,且
的面积为
面积的一半,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97598771e2f206cd08b11e552121490b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33a89db6837f7865e9066a5a8eb0336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8b045bfec11194c0fe6b3e274893e3.png)
![](https://img.xkw.com/dksih/QBM/2022/3/23/2942404491608064/2944018805596160/STEM/6f070fe0-2e93-47f7-b722-3b9b285528e0.png?resizew=373)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf899fa381162d5ddd95122c430dc6f.png)
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2022-03-25更新
|
214次组卷
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2卷引用:湖北省荆州市石首市2021-2022学年高一下学期期中数学试题
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解题方法
4 . 已知向量
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e705609358b31101cb6548e7effce65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07015c614737d4e9b630f8866ca37c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35df11c5bb26b5dbcb02629ecf903b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a418b7a922c438454cf5c984140bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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2020-08-04更新
|
433次组卷
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9卷引用:湖北省荆州市石首市第一中学2019-2020学年高三上学期8月月考文科数学试题
湖北省荆州市石首市第一中学2019-2020学年高三上学期8月月考文科数学试题【市级联考】2019年湖北省武汉市高考数学(5月份)文科模拟 数学试题甘肃省武威市第十八中学2020届高三上学期期末考试数学(理)试题(已下线)专题07 平面向量——2020年高考真题和模拟题理科数学分项汇编(已下线)专题07 平面向量——2020年高考真题和模拟题文科数学分项汇编湖北省武汉市2019届高三下学期五月训练题文科数学试题(已下线)专题14 平面向量-2020年高考数学(理)母题题源解密(全国Ⅰ专版)(已下线)专题14 平面向量-2020年高考数学(文)母题题源解密(全国Ⅰ专版)(已下线)考点21 平面向量基本定理与坐标表示及运算-备战2021年新高考数学一轮复习考点一遍过
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5 . 已知向量
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b8c3e086bc2e4dc0981a2c0ca3b978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a28341636a1caebf94dfa2287b2b91.png)
A.![]() | B.![]() ![]() | C.![]() | D.![]() |
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2020-02-21更新
|
378次组卷
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6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
11-12高一上·湖北荆州·期末
名校
解题方法
6 . 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
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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)
7 . 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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解题方法
8 . 若向量
,满足
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03be30702e62ff91e1198494de434bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-11-05更新
|
381次组卷
|
3卷引用:湖北省荆州市2020-2021学年高三上学期质量检查(一)数学试题
13-14高一下·广东·期中
名校
解题方法
9 . 已知向量
与
的夹角为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265614502d8ba2af7116910631a641d9.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/a9bf2423499d45354dbc8377f1f04e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129eba912dc2642fcbadeeaf0adde50f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265614502d8ba2af7116910631a641d9.png)
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2018-05-03更新
|
784次组卷
|
6卷引用:【全国百强校】湖北省荆州中学2018届高三全真模拟考试(二)数学(理)试题
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10 . 过平面直角坐标系中的点P(4-3a,
)(a∈R)作圆x2+y2=1的两条切线PA,PB,切点分别为A,B,则数量积
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ca0fcaa1c3130405d16a3b8737215f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438d94560a7ac74e8655e4c9184b9d5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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