名校
解题方法
1 . 在
中,E为AC上一点,
,P为BE上任一点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5be36b5f1d7847cea1537f4efb56e1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11680d693115593736d86af0100aef98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031e829d70137d772a2f7b98a2204e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5be36b5f1d7847cea1537f4efb56e1.png)
您最近一年使用:0次
名校
解题方法
2 . 已知平行四边形ABCD中,AC与BD交于点O,E为线段OD的中点,AE的延长线与CD交于点F.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ace1f0505dac8a8ea7bca12dc94eb41.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68028d33ab8a11b4cd40ecfdd253b1d.png)
______ (答案用含
,
的式子表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87919b376c1de16dc744b04d72877183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8682ba80b5d1e124e98c8661c753a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ace1f0505dac8a8ea7bca12dc94eb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68028d33ab8a11b4cd40ecfdd253b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,在平面斜坐标系
中,
,平面上任一点
的斜坐标定义为:若
(
为与
轴、
轴同方向单位向量),则点
的斜坐标为
.若在该斜坐标系中,
,
,则
为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6091495f40b421fde1b167814e6674d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5253a9a71037d60059b60237824193b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9aa1d34d66a6876aa0566c8fc8b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5685e364dec31be0e5d6973e5b56efcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d23dbda2563059789698f0219387900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f22de2383a103b4481e8b4669caddc4.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
是两个不共线的向量,
,若
与
是共线向量,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaccfa28fcd8b60194990aca32418470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdd74386247e34431a8ad268216b818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
2024-06-07更新
|
318次组卷
|
2卷引用:广东省河源市部分学校2023-2024学年高一下学期5月期中联考数学试题
名校
解题方法
5 . 已知
,
是两个不共线的向量
,
,若
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f2b1408644b6ab804d0e0205297f54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a13680f71c5f27aeff1e2f8e60739a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867524a2deaa0a9972d84a74a4d7efb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6733d11c1d816fab1026a3c5b9717b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
2024-05-29更新
|
318次组卷
|
13卷引用:福建省部分优质高中2023-2024学年高一下学期期中质量检测数学试题
福建省部分优质高中2023-2024学年高一下学期期中质量检测数学试题广东省江门市新会第一中学2023-2024学年高一下学期期中考试数学试题北京市陈经纶中学2023-2024学年高一下学期期中练习数学试卷河北省石家庄二十四中2023-2024学年高一下学期期中数学试题云南省昆明市官渡区第一中学2023-2024学年高一下学期5月期中数学试题河北省沧州市沧县中学等校2023-2024学年高一下学期3月联考数学试题河北省承德市承德县第一中学等校2023-2024学年高一下学期3月联考数学试题河北省保定市定州中学2023-2024学年高一下学期3月月考数学试题河北省保定市定州市第二中学2023-2024学年高一下学期3月月考数学试题山东省泰安市泰山国际学校2023-2024学年高一下学期3月月考数学试题河北省石家庄市第十五中学2023-2024学年高一下学期第一次月考数学试题陕西省西安市浐灞第二中学2023-2024学年高一下学期第一次月考检测(3月)数学试卷(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)
名校
6 . 已知点
在
所在的平面内,则下列各结论正确的个数是________ .
①若
为
的垂心,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3b155f027cff2b2227011eb10be484.png)
②若
为边长为2的正三角形,则
的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
③若
,则动点
的轨迹经
的外心
④若
为
的重心,过点
的直线
分别与
、
交于
、
两点,若
,
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2596ac1a8301e39179b80fbd3bd3169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3b155f027cff2b2227011eb10be484.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7a9bb8ba3d2ec7d9ccb5f6c76abfd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e616355594732c3e0dbf8c86a683b4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4425dc7c346e4597c0521d7f636174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3605b320cae7b4a85aa273dfb7e606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d3718ecdc213d626b9ee1525cd2aa8.png)
您最近一年使用:0次
名校
解题方法
7 . 设
是平面内两个不共线的向量,
,
,
,
.若
三点共线,则
的最小值 是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9648ce4b023152feb3c2f1bce10dd45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10bd852a783902e337ce72a1c9ff5b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53147ff544242dd253e09f6a018d1588.png)
您最近一年使用:0次
名校
解题方法
8 . 已知
为两个不共线的非零向量,若
与
共线,则k的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40436543cc51f42b5b5d93e55a407ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
您最近一年使用:0次
2024-05-20更新
|
861次组卷
|
2卷引用:广东省广州市增城中学2023-2024学年高一下学期期中数学试题
9 . 如图,在
中,
是
的中点,
与
交于点
.设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af16f828b762b5c079c98eef6bc3bcda.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/32ffbdf82ae2f228998e053e3e04d9bd.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/e0dfa5c97db56ae183a823782432cb3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29784f46b4388ba72d56d1bd0913c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af16f828b762b5c079c98eef6bc3bcda.png)
您最近一年使用:0次
名校
10 . 已知
,
是两个不共线的向量,
,
,若
与
是共线向量,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ .
![](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/d2faa881543e6b04412c00753affd5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4651d7893074ec5dc915cac1b23b781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次