解题方法
1 . 在
中,点D,E满足
,
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c185466a3517b2f1453e175748963873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a498d32f5341d011f1587c5d9f5c8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd944339afee3e82f623a56267baaa13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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2024-01-17更新
|
974次组卷
|
8卷引用:北京市昌平区2023-2024学年高一上学期期末质量抽测数学试题
北京市昌平区2023-2024学年高一上学期期末质量抽测数学试题(已下线)6.3.1平面向量基本定理-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)6.2.3 向量的数乘运算(分层作业)-【上好课】(已下线)模块一 专题2 平面向量基本定理与坐标运算(讲)(已下线)模块一专题2 《平面向量基本定理与坐标运算》 【讲】(苏教版)(已下线)6.2.3 向量的数乘运算——课后作业(基础版)(已下线)6.3.1 平面向量基本定理——课后作业(基础版)(已下线)模块一 专题4 平面向量基本定理与坐标运算(讲)北师大版高一期中
名校
2 .
为等边三角形,且边长为2,则
与
的夹角大小为___________ ,若
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ee0975dc3af664349ad2691fadf560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e1c795c90d6bc673ee5f0f0548d002.png)
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2022-06-02更新
|
1022次组卷
|
6卷引用:北京市第十二中学2022届高三第三次模拟练习数学试题
名校
解题方法
3 . 已知正方形
边长为
,点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5f443c321847544f04c5dc4599729b.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fef42b10dd73d7ea40eda64e356800e.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458b6c1f8e142098dacb00c24c76aeb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5398a97020b5ab06b4da9fbc8e54c75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5f443c321847544f04c5dc4599729b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fef42b10dd73d7ea40eda64e356800e.png)
您最近一年使用:0次
2021-04-12更新
|
267次组卷
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2卷引用:北京市第十二中学2020-2021学年高一3月月考数学试题
2014高三·甘肃武威·专题练习
名校
解题方法
4 .
中,M是
的中点,
,点P在直线
上,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcbeb5de178c29cde0d8f3da0efeeba.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5564681937f41e1489d69b20a71f9222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce26f6735a39905f4200da24594598fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcbeb5de178c29cde0d8f3da0efeeba.png)
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2021-03-23更新
|
260次组卷
|
6卷引用:北京市第二中学2020-2021学年高一下学期期末数学试题
名校
5 . 已知点O为△ABC内一点,
+2
+3
=
,则
=_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c5113c0193679f62a677ab3246b8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10a96288457215afa09fa879c27229b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b61dc66232313f1aea265a3b0ae2c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5505e46c3f6601017cce84f51c2f4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5d118acd59f6af0a8f7514b95605e7.png)
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2019-03-05更新
|
1407次组卷
|
4卷引用:【全国百强校】北京市101中学2018-2019学年上学期高一年级期末考试数学试题
【全国百强校】北京市101中学2018-2019学年上学期高一年级期末考试数学试题江苏省南通市2019-2020学年高二上学期期初调研测试数学试题山西省大同市第一中学2019-2020学年高一下学期5月月考数学试题(已下线)第02练 平面向量的应用-2022年【暑假分层作业】高一数学(苏教版2019必修第二册)
解题方法
6 . 如图,在正方形
中,
为
边中点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e647409d5043928a862f7ba4f9be1310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/26/add24077-ead7-45a0-9b3e-e372e2e3cce7.png?resizew=107)
您最近一年使用:0次
2017-11-10更新
|
452次组卷
|
2卷引用:北京市密云区2017学年度高一第一学期期末考试数学试题
名校
解题方法
7 . 在正方形ABCD中,E是线段CD的中点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26868da506c40f7376177f22805ad98e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
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2017-04-13更新
|
1067次组卷
|
7卷引用:2017北京市北京19中高三文十月月考试题
名校
解题方法
8 . 如图,在正方形
中,点
是
的中点,点
是
的一个三等分点,那么
=___ .(用
和
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.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/c6b5a51e65e9b56a9970de33ead263a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
![](https://img.xkw.com/dksih/QBM/2016/12/2/1573196334628864/1573196340584448/STEM/79f258a7a4db40c885cce0ff9aa69366.png?resizew=129)
您最近一年使用:0次
2016-12-05更新
|
438次组卷
|
2卷引用:北京市第六十六中学2022-2023学年高一下学期第一次质量检测(3月)数学试题
解题方法
9 . 如图,在
中,
是
中点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401d09c8b4d360cb1f7f05030f5ba1a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572390335406080/1572390341435392/STEM/d7f31387b54b4722aeb27183064cc7ac.png?resizew=180)
您最近一年使用:0次
14-15高三上·湖南衡阳·阶段练习
名校
10 . 如图,在边长为2的菱形
中
,
为
中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980d12e8008f49d6cdb9e2aff93a4b73.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980d12e8008f49d6cdb9e2aff93a4b73.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/18d81578-1fd0-466a-8fc6-bf234e0fed67.png?resizew=269)
您最近一年使用:0次
2016-12-03更新
|
693次组卷
|
12卷引用:2015届北京市石景山区高三上学期期末考试理科数学试卷
2015届北京市石景山区高三上学期期末考试理科数学试卷(已下线)2015届湖南省衡阳市高三上学期五校联考文科数学试卷2014-2015学年湖南省益阳市六中高二上学期第二次月考理科数学试卷2015届天津市南开中学高三第三次月考理科数学试卷2020届山东省济宁市高三3月线上数学试题2020届山东省曲阜市第一中学高三下学期3月线上自我检测数学试题辽宁省锦州市黑山县黑山中学2019-2020学年高一6月质量检测数学试题(已下线)第6 篇—— 平面向量及其应用, 复数-新高考山东专题汇编福建省莆田第七中学2020-2021学年高二上学期第一次月考数学试题福建省莆田第七中学2020-2021学年高二上学期期中考试数学试题山东省菏泽市2020-2021学年高一下学期期末数学试题新疆乌鲁木齐市第101中学2023届高三下学期3月月考理科数学试题