名校
1 . 在平面直角坐标系中,
为坐标原点,
,
,
三点满足
.
(1)求
值;
(2)已知
若
的最小值为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2b78b43898156b70eb20e632eb3684.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cc7c3c868df85726d6fec8d480e588.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee071259a2a59cd8c09cb3cd44c46ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6552c3a42c2629ef9533f0fc651736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6552c3a42c2629ef9533f0fc651736.png)
您最近一年使用:0次
2019-10-14更新
|
2827次组卷
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10卷引用:辽宁省锦州市辽西育明高级中学2022-2023学年高一下学期第一次阶段性数学试题
辽宁省锦州市辽西育明高级中学2022-2023学年高一下学期第一次阶段性数学试题河南省新乡市安阳市鹤壁市顶尖名校2020-2021学年高三10月联考数学理科试题辽宁省凌源市2020-2021学年下学期高二尖子生抽测数学试题福建省福州市福清市西山学校2020-2021学年高一3月月考数学试题北京市第十二中学2020-2021学年高一3月月考数学试题山西省潞城区第一中学校2020-2021学年高一下学期第一次月考数学试题四川省凉山彝族自治州2018-2019学年高一下学期期末数学(理)试题山东省临沂第一中学2019-2020学年高一下学期期中考试数学试题山东省潍坊一中2019-2020学年高一下学期期中考试数学试题河南省南阳市2019-2020学年高一下学期期末考试数学试题
名校
2 . 已知
是
的重心,过点
作直线
与
,
交于点
,且
,
,
,则
的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad57e3727b7bbd795b05332fbf9649e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5116fca7097f37ee768a678124b253f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811708962b2b179ba271ad2a40ac802b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf22db84b46599fc9944116a17e48d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07279d148ccd9732704a864a876192a4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-09-15更新
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2079次组卷
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9卷引用:辽宁省沈阳市第四十中学2021-2022学年高一下学期6月月考数学试题
辽宁省沈阳市第四十中学2021-2022学年高一下学期6月月考数学试题(已下线)【南昌新东方】江西省南昌十九中2020-2021学年高三上学期11月第二次月考数学(理)试题25河南省南阳华龙高级中学2021-2022学年高三上学期12月月考理科数学试题安徽省淮南市2018届高三第一次(2月)模拟考试数学(理)试题安徽省淮南市2018届高三第一次(2月)模拟考试数学(文)试题(已下线)2018年高考数学备考中等生百日捷进提升系列(捷进提升篇)专题07 不等式(已下线)2019年一轮复习讲练测 5.1 平面向量的概念及线性运算【浙江版】 【练】安徽省合肥市庐江县2019-2020学年高二下学期期末数学(理)试题(已下线)专题4-2向量四心及补充定理综合归类-2
解题方法
3 . 已知
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bfec9b60d04233d08557aef37afa602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36bd92859a8ac5ce6ac02cd1a0807d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.3 | B.1 | C.-3或2 | D.-4或1 |
您最近一年使用:0次
名校
4 . 如图,正方形
中,
为
的中点,若
,则
的值为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a751c93c21512948a7414b6efafbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1113ccae1ec1a3fb67a02c34c6ba1937.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/10/db5069d1-701f-4281-a570-80e06bd98a11.png?resizew=130)
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2017-10-13更新
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5卷引用:辽宁省营口第五中学2020-2021学年高三上学期第二次月考数学(文)试题
名校
5 . 设
是
所在平面内一点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0708d1b410cdecc28cad46289a5559d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4269ea2f3c92a2cdf5a14bf00b4a16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0708d1b410cdecc28cad46289a5559d4.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2016-12-04更新
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612次组卷
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6卷引用:辽宁省本溪高级中学2019-2020学年高二9月月考数学试题
6 . 在
中,
,
是
的外心,数量积
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af2f502e92e09d86ecbbf93777781e9.png)
![](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/bf958741e2bcc2b459476efd05f4a0e8.png)
A.6 | B.-6 | C.3 | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知
,
,
,点
在
内且
,若
,则
= ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf185af29a2c9fd17cf163c47d7d975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf53d3359a3ad665776fcc13b9fb69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42c3e92eb03ee99a58d0d30baf28f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86645030b883ec997ebf7a3b8d848eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3cdfde654f29a71bd21ebd725ff442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2016-12-03更新
|
716次组卷
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3卷引用:辽宁省实验中学分校2018届高三12月月考数学(理)试题
8 . 已知
中,
,
为角分线.
![](https://img.xkw.com/dksih/QBM/2015/12/2/1572339384082432/1572339390070784/STEM/1b976aa9-56ce-4bb9-927f-fad0c4361ab7.png?resizew=249)
(Ⅰ)求
的长度;
(Ⅱ)过点
作直线交
于不同两点
,且满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://img.xkw.com/dksih/QBM/2015/12/2/1572339384082432/1572339390070784/STEM/d3a44dcf419740d8bcedfd728abe8d0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2015/12/2/1572339384082432/1572339390070784/STEM/1b976aa9-56ce-4bb9-927f-fad0c4361ab7.png?resizew=249)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(Ⅱ)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57b3ca2da66244a76c66f3d80c66104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958e242a084508e3de1fdcfdede926e4.png)
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9 . 如图,在
中,设
,
,又
,
,向量
,
的夹角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/443f4f4d-0b1b-43d7-848d-aa7e5037cc1f.png?resizew=164)
(Ⅰ)用
表示
;
(Ⅱ)若点
是
边的中点,直线
交
于
点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac265febbf99dccf51aa0a2253e61f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18663288c2245e1febaa003e3b58f56a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c290cdc4cf3d6b82581e68ecaf5c7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a6325f466f657dde9cf7233a4fa638.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/2d88591679796c52024d11c4de641bdb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/443f4f4d-0b1b-43d7-848d-aa7e5037cc1f.png?resizew=164)
(Ⅰ)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
(Ⅱ)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9e71bc0b727b1440f83edb2783aff0.png)
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11-12高三上·北京·开学考试
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10 . 在平行四边形ABCD中
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30aa73ca876ed5fa58d3a5db74619db.png)
________ .(用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fef26d37e6c983516e2c6b0a27b21f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54aa0b686014f7a09ee4a3644c65a7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d973fcf31a6a6ea47cbc3173ec9a9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1c5cae2c86878bd34dbb0f45467e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30aa73ca876ed5fa58d3a5db74619db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42503437fb44722722cd20835f11d233.png)
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2016-12-01更新
|
1731次组卷
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11卷引用:辽宁省六校协作体2020-2021学年高二上学期期初考试数学试题
辽宁省六校协作体2020-2021学年高二上学期期初考试数学试题河南省漯河市临颍县第一高级中学2021-2022学年高二上学期11月月考数学试题安徽省滁州市定远县育才学校2021-2022学年高一下学期第一次月考数学试题(已下线)2012届北京市北师大附中高三上学期开学测试理科数学试卷(已下线)2012年人教A版高中数学必修四2.2平面向量的线性运算练习卷(二)人教A版 必杀技 第二章 平面向量 2.3.1平面向量基本定理人教A版(2019) 必修第二册 必杀技 第6章 6.3.1 平面向量基本定理(已下线)专题5.2 平面向量的基本定理及坐标表示(精练)-2021届高考数学(理)一轮复习讲练测专题6.3《平面向量初步》(B卷提升篇)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材人教B版)沪教版(2020) 必修第二册 同步跟踪练习 第8章 平面向量 8.3.1平面向量的分解定理沪教版(2020) 必修第二册 同步跟踪练习 第8章 8.3.1 向量基本定理