名校
1 . 在
中,
是
的中点,
,
,则线段
长的最小值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/284a563413dc0532138fb2a64db8cc2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478eb1cb30ced9a841d22b608fa37c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
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2019-12-06更新
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5卷引用:2016届河南郑州一中高三文考前冲刺一文科数学试卷
名校
2 . 如图,已知
为圆
的一条弦,且
,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9648ecad4382f88b428d6c4f2052aea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db6bf46cdcd6b8235220c5a29e5ed85.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/503d8836-d932-4d58-a291-74a788502563.png?resizew=133)
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2019-05-27更新
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2卷引用:【市级联考】四川省宜宾市2019届高三第三次诊断性考试数学(理)试题
3 . 如图,在菱形
中,
,
.
![](https://img.xkw.com/dksih/QBM/2019/4/28/2192016814481408/2192418100240384/STEM/552420528d7b4c05822485170d7a2cd6.png?resizew=206)
(1)若
为
的中点,则
______
(2)点
在线段
上运动,则|
|的最小值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee63d7a67287c5254793609eef77f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://img.xkw.com/dksih/QBM/2019/4/28/2192016814481408/2192418100240384/STEM/552420528d7b4c05822485170d7a2cd6.png?resizew=206)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f33393aaf8b0968e625d5a3b2e141702.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b22eda48c8c87abb458b0bd67daf5d.png)
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2019-04-28更新
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5卷引用:【区级联考】北京市平谷区2019届高三第二学期3月质量监控试题数学(理)试题
4 . 四边形
的两条对角线
与
相交于点
,且
,
,过点
作
,垂足为
,若
,则四边形
的面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b69efa6b4ef82a4bb128fd3f62bbde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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3卷引用:【市级联考】江西省赣州市2019届高三3月摸底考试数学(理)试题
【市级联考】江西省赣州市2019届高三3月摸底考试数学(理)试题人教A版(2019) 必修第二册 突围者 第六章 第四节 课时1平面几何中的向量方法、向量在物理中的应用举例(已下线)第08练—2020年新高考数学小题冲刺卷(山东专用)-《2020年新高考政策解读与配套资源》
5 . 如图,已知平行四边形ABCD中,E,M分别为DC的两个三等分点,F,N分别为BC的两个三等分点,
,
,则
=____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252ff16802256eb904a2b71628cd04dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0273a33ce427b2fe779203c7d825b59a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993b20ffebbc3cfb5232679bc7105094.png)
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2019高三·浙江·专题练习
6 . 如图,在平面四边形
中,
,
.若
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a3b0cd3f1211dfffbb834ec4da6412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/605b59928346d755d95fc44b4ecb4aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
![](https://img.xkw.com/dksih/QBM/2019/5/9/2200007794860032/2200015857098752/STEM/e58d0ca511194d5b9dcde3fb72744a55.png?resizew=150)
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4卷引用:【区级联考】天津市河北区2019届高三二模数学(理)试题
【区级联考】天津市河北区2019届高三二模数学(理)试题(已下线)2019年一轮复习讲练测 5.4 应用向量方法解决简单的平面几何问题【浙江版】【测】重庆市南岸区2019-2020学年高一上学期期末数学试题天津市河北区2018-2019学年度高三年级总复习质量检测(二)数学(理)试题
解题方法
7 . 在平面四边形
中,
,
,
,
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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8 . 在平面内,定点
,
,
,
满足![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/f089667a87164fdaa8586f7296b7c033.png?resizew=75)
,![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/de53711608eb4962ac96f7c25b5d6574.png?resizew=133)
,动点
,
满足
,
,则
的最大值为__________ .
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/3fc31cc5ff3442f3a6df1252c303dd08.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/d54681289a4a4455954530cea3453065.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/524320553e0f49e1b7e46b4d0f18bebe.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/e6c913fbae9748ee82376db95b293ce0.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/f089667a87164fdaa8586f7296b7c033.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/31294e674d3d4d31a4bfeca793bed317.png?resizew=69)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/de53711608eb4962ac96f7c25b5d6574.png?resizew=133)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/558924a0713e4fcd9d248fd544189d82.png?resizew=97)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/16d64912ac39481e9d700f39f16302cd.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/4c347c3fb1184a83ab962cb10bfde4fd.png?resizew=21)
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![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/03dd62fedfc143b08329489faa15ef7d.png?resizew=72)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/aeeeb35354f04d7a8228a53787d06647.png?resizew=41)
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解题方法
9 . 如图,在
中,
,点
在线段
上,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb57ce31e0865ce48d83bf44aa0cab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860e76cf88787691fa75081eae939ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/13/e2313494-7a64-4fbc-b74e-51cc372ace6a.png?resizew=200)
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2016-12-04更新
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478次组卷
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4卷引用:2016届湖南省高考冲刺卷(理)(三)数学卷
真题
名校
10 . 在平行四边形ABCD中, AD = 1,
, E为CD的中点. 若
, 则AB的长为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a46dc0bb5d8fa33583817e530a5d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbf4e4e197341054eec4fd2d6c4e1c6.png)
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30卷引用:陕西省西安中学2021届高三下学期第九次模拟考试理科数学试题
陕西省西安中学2021届高三下学期第九次模拟考试理科数学试题河北衡水中学高三2021届三轮复习数学试题2013年全国普通高等学校招生统一考试文科数学(天津卷)(已下线)2014届人教版高考数学文科二轮专题复习提分训练23练习卷2016届江苏省清江中学高三周练数学试卷【全国百强校】山东省枣庄市第八中学东校区2019届高三10月单元检测(月考)数学(理)试题【全国百强校】吉林省长春市吉林省实验中学2019届高三上学期第三次月考数学(理科)试题人教A版(2019) 必修第二册 突围者 第六章 易错疑难集训(一)2019届安徽省宣城市高三上学期期末数学(文)试题宁夏吴忠中学2019-2020学年高二上学期开学考试数学(理)试题陕西省西安市西北大学附中2018-2019学年高一下学期期中数学试题山西省太原师范学院附属中学2019-2020学年高一下学期第一次(线上4月)月考数学试题山东省淄博第七中学2019-2020学年高一4月网络学习自测(期中)数学试题(已下线)题型04 平面向量数量积与三角形平面向量中线定理-2020届秒杀高考数学题型之平面向量北京八十中2019-2020学年高一(下)期中数学模拟试题(已下线)专题16 平面向量数量积及其应用-十年(2011-2020)高考真题数学分项(已下线)极化恒等式试题(已下线)第12讲 向量的坐标表示(讲义)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)广东省佛山市南海区西樵高级中学2020-2021学年高一下学期第一次段考数学试题河北省张家口市第一中学2020-2021学年高一下学期期中数学试题北师大版(2019) 必修第二册 金榜题名 第二章 平面向量及其应用 §5 从力的做功到向量的数量积 5.1 向量的数量积(已下线)极化恒等式从入门到精通(已下线)8.2 向量的数量积(作业)-【上好课】2020-2021学年高一数学下册同步备课系列(沪教版2020必修第二册)(已下线)第02练 平面向量的应用-2022年【暑假分层作业】高一数学(苏教版2019必修第二册)黑龙江省哈尔滨市第九中学校2021-2022学年高二上学期开学考试数学试卷上海市致远高级中学2022-2023学年高二上学期开学考试数学试题2.5.1向量的数量积 同步练习2020-2021学年高一下学期数学北师版(2019)必修第二册1.5向量的数量积(一)1.7平面向量的应用举例1.7平面向量的应用举例