名校
解题方法
1 . 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
2 . 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
解题方法
3 . 已知非零向量
,其中
是一组不共线的向量.能使得
与
的方向相反的一组实数
的值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77fadf2c304be9887d115b5481a44e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
您最近一年使用:0次
名校
4 . 如图,在
中,
与BE交于点
,
,则
的值为__________ ;过点
的直线
分别交
于点
设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fa39c6987290720606544cd8ebb4d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a93a467f11c29aa3ec6124398b1c5a2.png)
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04849001f52ddf903b7ee825fba811fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f4bce66746053e925ba893ad468ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38bc27a5ffdab4d09e69ca64f7b4a7ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.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/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88f79da28a2878b27e3742dc8c92fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fa39c6987290720606544cd8ebb4d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a93a467f11c29aa3ec6124398b1c5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ac536dc56e720243eca2f623a6b3c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32043a653eba02c79ae6395b3bcb34f.png)
您最近一年使用:0次
2024-04-29更新
|
347次组卷
|
2卷引用:天津市重点校2023-2024学年高一下学期4月期中联考数学试题
名校
5 . 已知平行四边形
的面积为
,
,且
.若F为线段
上的动点,且
,则实数
的值为___________ ;
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27567d43c5b91382ee3d7ca708ee422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e90f9f4e44173888a54c624852064a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea8abb4cab55296ca7fc63de0af0aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a03511c689527acfb497e69775d0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fe25a156a25f00d47e1498eec473c2.png)
您最近一年使用:0次
2024-04-10更新
|
1261次组卷
|
2卷引用:甘肃省张掖中学2023-2024学年高一下学期4月月考数学试卷
6 . 在中,
为
上的一点,满足
.若
为
上的一点,满足
,则
与
的关系为
的最小值为
您最近一年使用:0次
解题方法
7 . 已知
,
为一组不共线的向量,且向量
,
,能使得
的一组实数
的值可以为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_____ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.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/a3988b6ee27f208f8c426dcac3c4e795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6068af75c62202637d47162f88117259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af920bfee3c455c4aa7e53a3aec5c6fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
您最近一年使用:0次
名校
8 . 如图,在
中,
,
,CD与BE交于点P,
,
,
,则
的值为_______ ;过点P的直线l交AB,AC于点M,N,设
,
(
,
),则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e7376fefe18d435f4adbb6226d7aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f09a9d6f118c19854f944a8a258b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3169672a04283c85f61d2e7be2172fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fa908112806dc176b8abdc3b3aaa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a93a467f11c29aa3ec6124398b1c5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
2023-11-12更新
|
858次组卷
|
4卷引用:第06讲 6.3.1平面向量基本定理-【帮课堂】(人教A版2019必修第二册)
(已下线)第06讲 6.3.1平面向量基本定理-【帮课堂】(人教A版2019必修第二册)天津市南开中学2024届高三上学期统练8数学试题(已下线)黄金卷02天津市蓟州区第一中学2024届高三第一次校模拟考数学试卷
解题方法
9 . 已知非零向量
,其中
是一组不共线的向量.能使得
与
的方向相反的一组实数
的值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77fadf2c304be9887d115b5481a44e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
您最近一年使用:0次
10 . 如图,在
中,设
,
,
的平分线和
交于
点,点
在线段
上,且满足
,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a53876badc982691e887414c6b86db.png)
______ ;当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ 时,
.
![](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/8e781a2489271bfd1597cba1bb6f5887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a3a51e710db12e98b3859d7542b4c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6049584c58fdaa57bd963cf714a50a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a53876badc982691e887414c6b86db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0aa4c793921fdaa5d430cb90d78ca6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/12/d92d9e94-aa5d-4235-8ee5-7b6891a1a804.png?resizew=138)
您最近一年使用:0次
2023-07-10更新
|
467次组卷
|
3卷引用:北京市朝阳区2022-2023学年高一下学期期末质量检测数学试题
北京市朝阳区2022-2023学年高一下学期期末质量检测数学试题(已下线)专题01平面向量线性、数量积运算4种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题09解三角形(第二部分)-高一下学期名校期末好题汇编