名校
1 . 在梯形
中,
与
相交于点Q.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0266627309446d599513540ad73b688.png)
________ ;若
,N为线段
延长线上的动点,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d98befb0f03f2efc324d294a6b4bdb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaed049ce72105d5f10bbc2e80b78aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0266627309446d599513540ad73b688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a00604fc0ba075e219b515428fbd87d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b85295316a529d3c1d67cb3853b1ee.png)
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2022-05-24更新
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1832次组卷
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7卷引用:天津市环城七校联考2022届高三下学期第二次质量调查数学试题
天津市环城七校联考2022届高三下学期第二次质量调查数学试题天津市滨海新区塘沽第一中学2022-2023学年高三上学期第一次月考数学试题(已下线)第02练 平面向量的数量积-2022年【暑假分层作业】高一数学(人教A版2019必修第二册)(已下线)数学(天津B卷)天津市实验中学滨海学校2022-2023学年高一下学期期中数学试题(已下线)10.2 平面向量的数量积(精练)(已下线)第六章 平面向量及其应用 单元复习提升(1)-单元速记·巧练(人教A版2019必修第二册)
名校
2 . 在平面内,定点
,满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2caa17f7e44524a74bd90d5caefd29.png)
__________ ;平面内的动点
满足
,
,则
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcb492a5f3fe9651ecf2efd36aa5eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39996d20eaef09737952eab634be3ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2f3fc61c6be59729509b71da1b3d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2caa17f7e44524a74bd90d5caefd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffbc423070f5d7ce2c72229066ee1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b9603b03810c4b388dba92df72cc08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287ad91a6bf0b9bedd26844bd37f2ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738630c28c731cb6d31f9f34da0ebde8.png)
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2022-05-24更新
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6卷引用:天津市和平区2022届高三下学期三模数学试题
天津市和平区2022届高三下学期三模数学试题(已下线)第02练 平面向量的数量积-2022年【暑假分层作业】高一数学(人教A版2019必修第二册)四川省成都市玉林中学2023届高三二诊模拟理科数学试题(二)江苏省无锡市四校2022-2023学年高一下学期期中联考数学试题(已下线)题型12 5类平面向量解题技巧(已下线)压轴题06向量、复数压轴题16题型汇总-2
名校
解题方法
3 . 如图,△
是由三个全等的钝角三角形和一个小的正三角形拼成一个大的正三角形,若
,
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c6c27d490514c98a85679d68b895ab.png)
______ ;点M为线段CE上的动点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c6c27d490514c98a85679d68b895ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec88130226d227d0d6ba86aadbab4953.png)
![](https://img.xkw.com/dksih/QBM/2022/4/25/2965762025873408/2968473554821120/STEM/2f368293-e746-489d-9e6d-781ab2852a90.png?resizew=134)
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2022-04-29更新
|
1954次组卷
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5卷引用:天津市河西区2022届高三下学期总复习质量调查(一)数学试题
名校
4 . 在矩形ABCD中,
,
,P是对角线AC上一点,
,过点P的直线分别交DA的延长线、DC于M,N,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6843672f1765682d7b4670d1960fdc4.png)
___________ ,若
,
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfea554ca3c2d6d99c1d1ea1ea601697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6843672f1765682d7b4670d1960fdc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6160694d8be9cfa27d0757467eb528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa3a1c721a29edc49bc3cdb308a50fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817a48b819ab971e79bad7b20250294.png)
![](https://img.xkw.com/dksih/QBM/2022/4/26/2966573086343168/2967920796311552/STEM/fbe7df30-a142-4ba4-9a8e-8782d0b4fed0.png?resizew=181)
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2022-04-28更新
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1217次组卷
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2卷引用:天津市河东区2022届高三下学期一模数学试题
名校
解题方法
5 . 若点M是
所在平面内一点,且满足:
.则
与
的面积之比为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5fa9c6a517796a973d8afcc69f5159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
6 . 在
中,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ ;若
,
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19502b4fc234d660b901f8b9f6d9d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c16ad533528914c256d9855d82931f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a04f1cdc015f38f5cee32ea29138e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f651a0f32c32d43a5e629e6e3fd479.png)
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2021-04-03更新
|
2602次组卷
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8卷引用:天津市滨海新区塘沽第一中学2022届高三下学期4月统练数学试题
天津市滨海新区塘沽第一中学2022届高三下学期4月统练数学试题天津市南开区2021届高三下学期一模数学试题天津市南仓中学2022-2023学年高三上学期第一次教学质量过程性监测与诊断数学试题天津市南开区翔宇学校2022-2023学年高三上学期期末数学试题天津市新华中学2023届高三下学期统练5数学试题天津市静海区第六中学2021-2022学年高三上学期第三次月考数学试题(已下线)押第3题 平面向量-备战2021年高考数学(理)临考题号押题(全国卷2)(已下线)第8章 平面向量(章节压轴题解题思路分析)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
名校
解题方法
7 . 如图,在已知的四边形
中,
,
,
,
,
,点
为
边上的动点,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af32ecdc0dc2f1a60b47f3311a0587d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f8fe909fd18216cc2fe13fd260162f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319536a5b0d3f94d4b1a495c3b19d79b.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/f15554b45e9c66c5fc508d701f00e0f0.png)
![](https://img.xkw.com/dksih/QBM/2020/12/1/2605026484871168/2606910819753984/STEM/2e30acda79d3404a998ad98a0e4eaf5b.png?resizew=175)
您最近一年使用:0次
2020-12-04更新
|
1498次组卷
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8卷引用:天津市南开中学2022届高三下学期二模数学试题
(已下线)天津市南开中学2022届高三下学期二模数学试题天津市耀华中学2022届高三下学期统练12数学试题天津市第一中学2020-2021学年高三上学期第二次月考数学试题(已下线)专题17 解三角形(客观题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题18 解三角形(客观题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题17 解三角形(客观题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)(已下线)专题9.1正弦定理与余弦定理(B卷提升篇)-2020-2021学年高一数学必修第四册同步单元AB卷(新教材人教B版)江西省宜春市奉新县第一中学2020-2021学年高一下学期第二次月考数学试题
名校
解题方法
8 . 在
中,
,
,
,
为
边上的高,
为
的中点,
,则
的值为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96fac11d72f72c805dbddb8da72d68.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa1be35a684c2c9196eb321923aafb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
您最近一年使用:0次
2020-07-08更新
|
569次组卷
|
2卷引用:天津市第三中学2022届高三下学期一模数学试题
名校
9 . 在
中,点
、
分别为
、
的中点,点
为
与
的交点,若
,
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f0a6fbd95167041ac551e20921c4e1.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd1293de1f26bb4a08e34aaf7cf892a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06201e4f55b78d8b30afb257d5a1b16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c279c8033acb94c3f91be2e05b0a6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4bfdc97ec3690443a6b573a11306ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f0a6fbd95167041ac551e20921c4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd1293de1f26bb4a08e34aaf7cf892a.png)
您最近一年使用:0次
2020-06-29更新
|
902次组卷
|
6卷引用:天津市河西区2022届高三下学期三模数学试题
天津市河西区2022届高三下学期三模数学试题天津市河西区2020届高三二模数学试题天津市新华中学2022-2023学年高三上学期第一次统练数学试题(已下线)专题12 向量-2020年高考数学母题题源解密(天津专版)(已下线)专题13 平面向量-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题05 平面向量-2020年高考数学(文)母题题源解密(全国Ⅱ专版)
名校
解题方法
10 . 在
中,
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b67dac5a96f62728b11b23d02cb89d8.png)
______ ;设
,且
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1e7b1871a1e5d28447a9e8790bf83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7898b4d9c545e488e9f8a90ab8f3cd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f4925d030beaf46c6a0d1d7799ac0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b67dac5a96f62728b11b23d02cb89d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2274dede955754329461411d5388ff45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe002871234bea5b04f631b06cc41ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2020-05-27更新
|
2500次组卷
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11卷引用:天津市市区重点中学2022届高三下学期三模数学试题
天津市市区重点中学2022届高三下学期三模数学试题2020届天津市河西区高考一模数学试题(已下线)数学-6月大数据精选模拟卷05(天津卷)(满分冲刺篇)天津市第一中学2019-2020学年高一下学期期末数学试题(已下线)2021年高考数学押题预测卷(天津卷)03天津市北辰区华辰学校2021-2022学年高三上学期第二次月考数学试题天津市静海区第一中学2021-2022学年高三上学期第三次阶段检测数学试题天津市第二十一中学2022-2023学年高一下学期期中数学试题(已下线)专题13 平面向量-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题05 平面向量-2020年高考数学(文)母题题源解密(全国Ⅱ专版)北京市西城区外国语学校2021-2022学年高二上学期开学考试数学试题