1 . 已知菱形
的边长为2,
,
在边
上,
,
.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a719cb3370fe6ddc7d2437dfaa9b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b96dce1ec94eb90c243b2eddb78476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f18752c339098cbf9a84410f99b5310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864aec7b9cfafb79090d533c63df5c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0197f2d776b49e3949f98e491b55a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdeb960f6811c6d0a81c8b6c9f441e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00fee13d29032bbffad76d8991bec8d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
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2020-09-01更新
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223次组卷
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5卷引用:2015届天津市南开中学高三第二次月考理科数学试卷
2015届天津市南开中学高三第二次月考理科数学试卷【区级联考】天津市南开区2019届高三基础训练数学(理)试题湖北省宜昌市第二中学2018-2019学年高一下学期期中数学试题(已下线)专题16 平面向量数量积及其应用-十年(2011-2020)高考真题数学分项天津市宝坻区大口屯高中2021-2022学年高三上学期结课考试数学试题
名校
解题方法
2 . 若
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5618d27a4010782412bc0dbbda61d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076a44dc5e5fe677c26afd8530c2e200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2020-12-03更新
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2卷引用:宁夏青铜峡市高级中学(吴忠中学青铜峡分校)2019-2020学年高一3月空中课堂在线第一次测试数学试题
3 . 已知向量
,
,若
,则实数
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e57455556920ce5ba696de0c52bfc0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c98c75118e8b33f29a5f05be6977ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d429da5ce9359447a1fcd1a8a0011e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2019-11-05更新
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2卷引用:九师联盟2020届高三上学期10月质量检测数学理科试题
4 . 已知向量
,若
//
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e25a9bb0bd41012536ac8ce9eabdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad2e0f39e291976fcffd82bd5182c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180583e27205ded4602125c8685d04de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
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2020-03-14更新
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2卷引用:四川省内江市市中区天立学校2019-2020学年高一下学期第二次月考数学试题
名校
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5 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2743c965e63b856f45c9e581fcf719.png)
,
,若
点是
所在平面内一点,且
,当
变化时,
的最大值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b030ff1967682591d1408f06ca71bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2743c965e63b856f45c9e581fcf719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c80416107e87bad82d5507e587c1e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19aea957b386fc017324aed920c7ce37.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/eb9ae025a987659afde04b73961cdaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9787fa192dc4267f0630ab042b7aca52.png)
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6 . 已知点
,
,直线
上一点
满足
,则
点坐标是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b2cc0d2f6d3eee9a33db83e0c0830d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad4d8ae4a57784f82cadb25646f015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6442a72715a202f3e9c809548ea68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2019-11-13更新
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341次组卷
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2卷引用:上海市上海师范大学附属中学2019-2020学年高二上学期9月滚动(1)数学试题
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解题方法
7 . 已知三点
,
,
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cb3de84e53b879307989ff8f93f7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8362dc75794cef132dd6872da98820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bd306066d87e6ddbfcb1f9fd6d5015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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2020-04-20更新
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268次组卷
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2卷引用:江苏省镇江中学2019-2020学年高二上学期第一次月考数学试题
名校
8 . 已知向量
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c0d03723517771aea135c3830415bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299ffee2b187272b46a8154e109302d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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2019-10-24更新
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375次组卷
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4卷引用:四川省成都市棠湖中学2019-2020学年高三上学期10月月考数学(文)试题
9 . 在平行四边形ABCD中,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ec620fbab68829fa685c48af20a4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b98848a6552f895b50a25b84b52ead8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
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2021-01-22更新
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3卷引用:陕西省安康市2020-2021学年高三上学期第二次教学质量联考理科数学试题
名校
解题方法
10 . 如图,在
中,
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa3b1517c8eb75fba59d2898ee9395c.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075c7c1a177dd21015775509836522e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c5859d957e346e9962da07473a826f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c5143fcb57a328bcda0e2ed27a9cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8101acc643fcb0113b265098db9617b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa3b1517c8eb75fba59d2898ee9395c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/30740aae-7a02-486c-94ee-c7123a799d50.png?resizew=160)
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2020-03-30更新
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2卷引用:广东省广州市从化中学2020届高三上学期第三次月考数学(理)试题