名校
解题方法
1 . 在矩形
中,E,F分别为BC,CD的中点,若
(m,
),则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1930289026d38536dbddf820e5663d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3276b5e12396fc4753eb3f8254f9fa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32043a653eba02c79ae6395b3bcb34f.png)
A.1 | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 如图,在
中,
是
的中点,
在边
上,且
,
与
交于点
.
,
表示
;
(2)过点
作直线交线段
于点
,交线段
于点
,且
,
,求
的值;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833a1317d15bdad58ca21d3934a9a2b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8c53645db602c72b00b599c2c0ff97.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f419bb9cfb8d103ac401b6a9688dd828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33917e8433b70eb15c4165f708ae1101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bb363a04afbb6c4f7a40e665356e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea79586df2029edb34c7cb2f67dc3722.png)
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2024高三下·全国·专题练习
名校
3 . 如图,在平行四边形ABCD中,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4cfa53e36dd56634e1a4b5915c1150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea8abb4cab55296ca7fc63de0af0aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7a5ac01b4102239e87725072da824c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
您最近一年使用:0次
2024-03-07更新
|
1217次组卷
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7卷引用:吉林省长春市实验中学2023-2024学年高一下学期第一学程(4月)考试数学试题
吉林省长春市实验中学2023-2024学年高一下学期第一学程(4月)考试数学试题(已下线)6.3.1平面向量基本定理(已下线)2.4 平面向量基本定理及坐标表示-同步精品课堂(北师大版2019必修第二册)天津市武清区黄花店中学2023-2024学年高一下学期第一次形成性练习数学试题(已下线)2.4 平面向量基本定理及坐标表示6种常见考法归类(1)-【帮课堂】(北师大版2019必修第二册)(已下线)北京市中国人民大学附属中学2023-2024学年高一下学期期中练习数学试题变式题11-15(已下线)考点1 平面向量的概念及线性运算 --2024届高考数学考点总动员【练】
名校
4 . 在
中,
,D为AB的中点,
,P为CD上一点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae31c7d7753091d3937a21d97966760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505ec088ad5838f5e6df020daadbf80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f324450b1b4b41a697a04270329ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-10更新
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9卷引用:吉林省东北师范大学附属中学2023-2024学年高一下学期阶段验收考试数学试题
吉林省东北师范大学附属中学2023-2024学年高一下学期阶段验收考试数学试题(已下线)6.2.3 向量的数乘运算(分层作业)-【上好课】河北省保定市曲阳县第一高级中学2023-2024学年高一下学期5月月考数学试卷辽宁省辽阳市2024届高三上学期期末数学试题江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(五)湖北省黄冈市浠水县第一中学2024届高三上学期期末数学试题(已下线)模块6 平面几何篇 第1讲:向量合成定理与三角形四心【练】(已下线)热点4-2 平面向量的数量积及应用(6题型+满分技巧+限时检测)(已下线)【讲】专题五 平面向量的综合问题(压轴大全)
名校
5 . 如图,在直角
中,角
为直角,点
是
边的中点,点
满足
,点
是
边上的动点.
是
边上靠近
的三等分点,设
,求
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c25b4eaeb8a21232237508c8f5c6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9eaea06e0523a695a16fd1921d56c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075c7c1a177dd21015775509836522e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6031ae3a08959dc93df0b09c11f113d.png)
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2023-07-27更新
|
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4卷引用:吉林省长春市东北师范大学附属中学2023-2024学年高一下学期5月期中考试数学试题
吉林省长春市东北师范大学附属中学2023-2024学年高一下学期5月期中考试数学试题贵州省安顺市2022-2023学年高一下学期期末教学质量监测数学试题(已下线)高一下学期期末复习解答题压轴题二十四大题型专练(1)-举一反三系列(人教A版2019必修第二册)(已下线)第三节 平面向量的数量积及应用 B素养提升卷
名校
解题方法
6 . 如图,在△ABC中,点O在边BC上,且OC=2OB.过点O的直线分别交射线AB、射线AC于不同的两点M、N,若
,
,则2m+n=( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/b5573bd1-c2e9-4c24-a7c1-69811544be70.png?resizew=114)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328e8ec9120d4f382d63802421770a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61719eab7f04cd838d37de009ea1faa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/b5573bd1-c2e9-4c24-a7c1-69811544be70.png?resizew=114)
A.1 | B.2 | C.3 | D.-2 |
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名校
解题方法
7 . 已知中,
为
的中点,
分别为
上的点,
,
,
交
于点
,若
,则
的值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-05-18更新
|
739次组卷
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3卷引用:吉林省长春市第二中学2022-2023学年高一下学期第二次学程考试数学试题
名校
解题方法
8 . 设
,
为平面内不共线的两个单位向量,
,
,
.
(1)以
,
为基底表示
;
(2)若
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5e0c3d054939ae02fb12a31ef91293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0ac80145307fc38161a73e8aed2f4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50451608f54735f5809b8baef2dcb68.png)
(1)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccabc3d74ab5aedd20045ddc17123bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26abac73b9cb1af5c5d8e8c2dd136bbb.png)
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2023-05-18更新
|
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2卷引用:吉林省长春市第二中学2022-2023学年高一下学期第二次学程考试数学试题
名校
9 . 如图,向量
,
为单位向量,
,点
在
内部,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/9/a19927d7-af09-4343-b1d0-e8d09e89158a.png?resizew=116)
(1)当
时,求
,
的值;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a4c11d41372175ba3541a44c3376b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385495ec3ecd33e95b9b671ccc2866b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7ddbb2127b206954113b260781c466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2408d04f4bcf651ef6d47ac75dc15e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/9/a19927d7-af09-4343-b1d0-e8d09e89158a.png?resizew=116)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b979d27d7260d51ba0c826e19b17ba70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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10 . 如图,在菱形ABCD中,
,E,F分别是边AB,BC上的点,且
,
,连接ED、AF,交点为G.
,求t的值;
(2)求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6d164d835e67e17e38d7cd5cce4ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae7d93ef90564a5ca9d9a79a74245f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057505ce7b11cfb85e490cc44e88ccc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8279e2f4f69e2709bf8d87b485bd67b0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d6902c8862bd2616be038549f77aff.png)
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2023-04-15更新
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583次组卷
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4卷引用:吉林省长春市第二实验中学2023-2024学年高一下学期期中考试数学试题