名校
1 . 如图,在三角形
中,已知
,
,
,点
为
的三等分点.则
的取值范围为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/f0497ab5-7a8b-46a8-a67f-e73db12443c7.png?resizew=133)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ed15020c1c669e06a3a3b1557242e9.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/5499350b4eee680e875fd87fd8f128f8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/f0497ab5-7a8b-46a8-a67f-e73db12443c7.png?resizew=133)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-06-12更新
|
955次组卷
|
3卷引用:2017届天津耀华中学高三上学期开学考试数学(文)试卷
名校
解题方法
2 . 如图,在
中,
,
,D为BC边上的点,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27e50cd081e23b6ec4256a169937f14.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882589c896c6993d9687f0e14a283481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3e11d479ad88bd991c086ac288e24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6eb184dfeed4bea8216fe076f4a7ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cb92020749dc548d49e4b665488701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/774a5a6edd03c2428aa8bf78def083d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27e50cd081e23b6ec4256a169937f14.png)
![](https://img.xkw.com/dksih/QBM/2019/4/4/2175132228263936/2179322278354944/STEM/3b28489398ef491fbb1f54540b256aaf.png?resizew=232)
您最近一年使用:0次
2018-08-18更新
|
3112次组卷
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5卷引用:【全国百强校】天津市第一中学2019届高三上学期第一次月考数学(文)试题2
【全国百强校】天津市第一中学2019届高三上学期第一次月考数学(文)试题2【全国百强校】江苏省清江中学2018届高三学情调研考试数学试题(已下线)2018年11月浙江省普通高中学业水平考试数学仿真模拟试题01河南省安阳市林州一中2018-2019学年高一下学期5月月考数学试题山东省新泰市第一中学2019-2020学年高一下学期期中考试数学试题
名校
解题方法
3 . 已知在直角梯形
中,
,
,若点
在线段
上,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8c12a6be7d9ec81631aca2c2b5074a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37cc74dc056e3aba036332c9789d2b02.png)
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2018-07-26更新
|
539次组卷
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7卷引用:专题8 应用平面向量解决几何问题-2018年高考数学(文)母题题源系列(天津专版)
(已下线)专题8 应用平面向量解决几何问题-2018年高考数学(文)母题题源系列(天津专版)(已下线)专题8 应用平面向量解决几何问题-2018年高考数学(理)母题题源系列(天津专版)河北省衡水金卷2018届高三毕业班模拟演练文科数学试题江苏省南京师范大学苏州实验学校2020-2021学年高一下学期3月学情调查(一)数学试题福建省漳州第三中学2021-2022学年高一下学期期中考试数学试题浙江省温州市2021-2022学年高一下学期期末模拟数学试题(A卷)山东省潍坊市潍坊第一中学2021-2022学年高二上学期期末数学试题
名校
4 . 已知矩形ABCD,
,
,点P为矩形内一点,且
,则
的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf435f85883d2db2430a5b7bf41dab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc079471314170d8b6df39f85661258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e943b265831808d04ff73e1644f0d0b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405d4695bba56ba70c1ffff350c636fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.0 | B.2 | C.4 | D.6 |
您最近一年使用:0次
2018-07-10更新
|
2357次组卷
|
2卷引用:【全国百强校】天津市第一中学2019届高三上学期第一次月考数学(文)试题2
名校
解题方法
5 . 已知平面直角坐标内定点
,
,
,
和动点
,
,若
,
,其中O为坐标原点,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c09b7a163e7bf1ee295d7297286afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a54417a9e9b5242841bebe000870cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f425201dc93f18835d42a2e47de589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3632df748c002736b8fd007d43fedc13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fcbc60ae6257d13f1678aef9e46f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f8b3e05c886a3d71eb09c7639001414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e96fc4fb850f0a3fea90bd54d33b0b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb785e08831d3377c081fe5e97492c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41f27303ef21d296e6e1d0a46177323.png)
您最近一年使用:0次
2018-07-07更新
|
1877次组卷
|
5卷引用:【全国百强校】天津市第一中学2019届高三上学期第一次月考数学(文)试题2
名校
6 . 如图,在矩形ABCD中,AB=
,BC=2,点E为BC的中点,点F在边CD上,若
,则
的值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/cd8a00ca-d866-4408-82bf-66b2b3c02fc6.png?resizew=118)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c0de167a80714c2bbd9563e539db38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e911ef89693a89234d7d3ad0effaeb4b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/cd8a00ca-d866-4408-82bf-66b2b3c02fc6.png?resizew=118)
A.2﹣![]() | B.1 | C.![]() | D.2 |
您最近一年使用:0次
2018-06-21更新
|
2033次组卷
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15卷引用:天津市南开中学2021届高三(上)第一次月考数学试题
天津市南开中学2021届高三(上)第一次月考数学试题【全国百强校】西藏自治区拉萨中学2018届高三第七次月考数学(文)试题西藏自治区日喀则市南木林高级中学2019-2020学年高三毕业班第六次月考数学试题(已下线)专题06 平面向量-2020年高考数学(理)母题题源解密(全国Ⅲ专版)湖南省长沙市长郡、雅礼、一中、附中2020-2021学年高三上学期11月联合编审名校卷数学试题江西省南昌市第十中学2021届高三上学期期中考试数学(理)试题江西省南昌市第十中学2021届高三上学期期中考试数学(文)试题(已下线)第27讲 平面向量基本运算及线性表示-2022年新高考数学二轮专题突破精练云南省玉溪市玉溪一中2017-2018学年高一下学期第二次月考数学(理)试题云南省玉溪市玉溪第一中学2017-2018学年高一下学期第二次月考数学(文)试题四川省乐山市2019-2020学年高一(下)期末数学试题广东省广州市真光中学2020-2021学年高一下学期期中数学试题重庆市开州中学2021-2022学年高一下学期第一次阶段性考试数学试题第二章 平面向量及其应用 单元测试卷-2021-2022学年高一下学期数学北师大版(2019)必修第二册陕西省西安市西咸新区泾河新城第一中学2022-2023学年高一下学期综合评价考试(一)数学试题
名校
7 . 在平面四边形
中,已知
,
,点
,
分别在边
,
上,且
,
,若向量
与
的夹角为
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ed75e65e7374c38ffb1f75259a8beb.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ed8de21a23da0d3f4f05f916fa03cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97e0173cbaab252a32fccf127e20129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe35c91649a5bea2518387a2b36e0c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264b618e7d40637a79530d63a13a8a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7651cc4e1f1e0f9f2284075feec32af1.png)
您最近一年使用:0次
名校
8 . 如图,在
中,已知
,
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256d4d8e56294a52629e98e57bd276f0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d11a5a756d8fdd7b294c4f5fd63467b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59125a0220d722e4bcab5c7caf9cbbef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8118b2ecf4ab59ffa912aeaafc5e982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256d4d8e56294a52629e98e57bd276f0.png)
![](https://img.xkw.com/dksih/QBM/2018/5/21/1950261578686464/1952498123997184/STEM/ec8cdbe44024425eaa3ad7f02265eb2d.png?resizew=185)
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解题方法
9 . 已知等腰梯形ABCD如图所示,其中AB=8,BC=4,CD=4,线段CD上有一个动点E,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3483dfaf950f72ee356aed13603ae3d9.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51cf0d5294a97848e17e0439bfe65c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3483dfaf950f72ee356aed13603ae3d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/6/94db5139-b693-4567-8969-dfec24bf7c88.png?resizew=188)
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解题方法
10 . 在
中,
,
,
,点
满足
,点
在线段
上运动,若
,则
取得最小值时,向量
的模为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c406e7d1e7977dd5b30ef81cfdc8e8d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d8332bf70ea360b452b85e20a7d081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7961af3ab4513e4e8eaa061eaf697bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b3637e8688dc6fd80b807b21c2a9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57590a6acb2a4a0b115a56ab080f9135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
您最近一年使用:0次
2018-05-21更新
|
2546次组卷
|
2卷引用:【全国市级联考】天津市部分区2018年高三质量调查(二)数学(理)试题