2019高三·浙江·专题练习
1 . 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)
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![](https://img.xkw.com/dksih/QBM/2019/5/9/2200007794860032/2200015857098752/STEM/e58d0ca511194d5b9dcde3fb72744a55.png?resizew=150)
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2018-09-14更新
|
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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
2 . 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)
![](https://img.xkw.com/dksih/QBM/2019/1/8/2114174616952832/2114500117250048/STEM/ea1a7c5688a74fc59b63868d21f4e81f.png?resizew=220)
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解题方法
3 . 已知两个单位向量
,
,若
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64b1da7705cbdba816781a91b64280b.png)
______ ;
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b04618e5b2db68f2de6ba68972c505c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96aea4d0ebd5dc721218db3ef1ab0a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64b1da7705cbdba816781a91b64280b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b035dd75aa735ee17186d05a72d5ef.png)
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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)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2019/3/29/2171034317037568/2171774577524738/STEM/ff5e6fc22b644db99aa133679f1d888f.png?resizew=185)
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2019-03-30更新
|
563次组卷
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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》
解题方法
5 . 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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名校
6 . 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
|
379次组卷
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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
7 . 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)
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674916910194688/1679661056770048/STEM/38d3f4fa9e4540a8a0877bf2045899ff.png?resizew=52)
![](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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8 . 现有三个平面向量
,
,
,满足
,
,
,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7b4c7bd10e8e909c11910a2e9c704c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082c6926889f84f438ea35f70bf05f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45dc1c7277e13682709e2aab46588fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f1435ae7941b741d8b42b6589dec11.png)
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2020·全国·模拟预测
9 . 如图,已知有两个以
为圆心的同心圆,小圆的半径为1,大圆的半径为2,点
为小圆上的动点,点
是大圆上的两个动点,且
,则
的最大值是______ .
![](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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99066713c8311798f581acdef37511e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b087875ad7156963406bf36c70c126.png)
![](https://img.xkw.com/dksih/QBM/2021/1/12/2634689849024512/2635299210690560/STEM/21e3782cde6e4dd98a2f24a8a5efc574.png?resizew=128)
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名校
解题方法
10 . 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
|
478次组卷
|
4卷引用:2016届湖南省高考冲刺卷(理)(三)数学卷