名校
解题方法
1 . 如图,在
中,
是
的中点,点N在边
上,且
,
与
相交于点
,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce0da153621bbd05519f168b527e3e.png)
_________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4713985fd15713e52c5001059345c.png)
_________ .(注:用
和
来表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ac7b134d8d1136f90233addaa4723f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce0da153621bbd05519f168b527e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4713985fd15713e52c5001059345c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/8cf6e567-0ffc-4f88-8f23-ded09856cf2e.png?resizew=141)
您最近一年使用:0次
2024高三下·全国·专题练习
名校
2 . 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
|
1212次组卷
|
7卷引用: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
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)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)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)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
3 . 如图,在
中,
是线段
上的点,且
,
是线段
的中点,延长
交
于
点,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
__________ ;若
为边长等于2的正三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b099a0cfbb1f13a91277540bf004c66a.png)
__________ .
![](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/c185466a3517b2f1453e175748963873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1aec9d16d88595567bb3b3394888280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b099a0cfbb1f13a91277540bf004c66a.png)
您最近一年使用:0次
2023-10-25更新
|
1260次组卷
|
7卷引用:天津市和平区2022-2023学年高一下学期期末数学试题
天津市和平区2022-2023学年高一下学期期末数学试题(已下线)9.3 向量基本定理及坐标表示2-【帮课堂】(苏教版2019必修第二册)(已下线)模块一 专题2 平面向量基本定理与坐标运算(A)(已下线)模块一专题2《平面向量基本定理与坐标运算》A基础卷(苏教版)(已下线)模块一 专题4 平面向量基本定理与坐标运算(A)北师大版高一期中(已下线)专题05向量数量积期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)河南省周口恒大中学2024届高三下学期5月月考数学试题
名校
4 . 如图,在
中,点
、
分别在边
、
上,且均为靠近
的四等分点,
与
交于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3612c0925780fe53bc32ee7c6705ccb3.png)
______ .
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c5e21ede415f764762b20ffb353bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3612c0925780fe53bc32ee7c6705ccb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/5/4c397eb6-484b-43ee-8e69-a7e7dbea0fcb.png?resizew=140)
您最近一年使用:0次
名校
5 . 图1是一个正六边形蜂窝状置物架,它设计简约、美化空间,深受大众喜爱,图2是从置物架图中抽象出的几何图形的示意图.如图2,若
,则
的值为______ ;若正六边形的边长均为2,点
是折线
上的动点(含端点),则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195b1939a03b60de8d4edc668ee56ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f516398cc5bc15bf1b91229d49a973fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b9f01e806bf74042ba41b26423022.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/15/e1a81166-0459-4065-9552-70cd3aa6b213.png?resizew=386)
您最近一年使用:0次
2023-06-12更新
|
213次组卷
|
3卷引用:天津市第七中学2023-2024学年高一下学期3月月考数学试卷
名校
解题方法
6 . 如图,在
中,点
在
的延长线上,
,如果
,那么( )
![](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/d6c9335319ce4baa33d1ab6aa6149132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0627c5fbc080e858cea342516ec0f0df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/29/d12c3650-b4d1-43d6-99c9-8c79b9c5b106.png?resizew=130)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-05-27更新
|
1642次组卷
|
3卷引用:天津市宝坻第一中学2022-2023学年高一下学期阶段练习四数学试题
名校
解题方法
7 . 如图,在
中,
,
,
为
上一点,且满足
,若
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad33c74b50431cc2c876997a0f78ce8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da18267294924c440b4a5e1d08dd928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf13d86d78123424a56ef6ccb839bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6897c3746574e32d50ebc92f872cd7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596f68ba4b746cab4b2c26ffce554b5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-05-02更新
|
1122次组卷
|
4卷引用:天津市五所重点学校2022-2023学年高一下学期期中联考数学试题
天津市五所重点学校2022-2023学年高一下学期期中联考数学试题(已下线)高一数学下学期第二次月考02(范围:平面向量,解三角形,复数,立体几何)新疆石河子第一中学2022-2023学年高一下学期5月月考数学试题福建省福州第八中学2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
8 . 如图,在
中,
是
的中点,
是
上一点,且
,过点
作一条直线与边
分别相交于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
__________ .
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdaa02919abbcf0708ebddb4aaf876c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e675a92cad72c65aa4071b9d9e226090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927ded46259147e40864c75d876f6219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/18/5dc94191-ba1c-48b8-8c29-124b1c9da052.png?resizew=145)
您最近一年使用:0次
名校
9 . 如图,平行四边形
中,M为
中点,
与
相交于点P,若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/fae00c91-1d5a-4ce3-b725-a1c241b69eb8.png?resizew=208)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f2c98c84895030f3dffa92cb25ad20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/fae00c91-1d5a-4ce3-b725-a1c241b69eb8.png?resizew=208)
A.1 | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2023-02-06更新
|
2217次组卷
|
10卷引用:天津市武清区天和城实验中学2022-2023学年高一下学期第一次月考数学试题
天津市武清区天和城实验中学2022-2023学年高一下学期第一次月考数学试题湖北省武汉市水果湖高级中学2022-2023学年高一下学期3月月考数学试题新疆维吾尔自治区伊犁州华伊联盟十校期中联考2022-2023学年高一下学期4月期中考试数学试题河北省石家庄华西高级中学2022-2023学年高一下学期第一次月考数学试题(已下线)专题05 平面向量基本定理-【寒假自学课】(苏教版2019)江西省重点中学协作体2023届高三下学期第一次联考数学(文)试题江西省丰城市第九中学2023届高三复读班下学期开学质量检测数学(文)试题(已下线)专题6 平面向量及其应用广东省河源中学2024届高三上学期一调数学试题河北省石家庄市部分名校2024届高三上学期一调数学试题
名校
解题方法
10 . 在
中,
,
,
,点
在线段
上(点
不与端点
重合),延长
到
,使得
,
(
为常数),
(ⅰ)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
___________ ;
(ⅱ)线段
的长度为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d412d12c1a63e71d8389162d1ad06b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f992e82ed3ba48c20c645719053bdb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372b9f507367a2d59b8ab874bb7538c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
(ⅱ)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
2023-01-03更新
|
725次组卷
|
4卷引用:天津市红桥区2022-2023学年高一下学期期末数学试题