名校
解题方法
1 . 向量
在基底
下的坐标为
,则向量
在基底
下的坐标为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d806f27eecf5aee1e75bf35acbcd4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e663930029a47782f44ebcc2ffba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d806f27eecf5aee1e75bf35acbcd4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e63b2ccb815ddf4357644fbe52bc34.png)
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2024-04-24更新
|
313次组卷
|
3卷引用:上海市华东师范大学第二附属中学2023-2024学年高二下学期5月月考数学试题
解题方法
2 . 如图,在四棱台
中,
,
,设
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067613594cca07e73993d85045e8964f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e14b373f8f375c9cbf9e48b7b61f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eadbb07ec74fb4d27d1d5edce9dfb289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/391821ce-8ce7-4226-af9c-f42a49923aaf.png?resizew=164)
您最近一年使用:0次
名校
解题方法
3 . 已知正方形
的边长为2,中心为
,四个半圆的圆心均为正方形
各边的中点(如图),若
在
上,且
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9545017eee79a71befee621b52c8cae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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2024-02-23更新
|
1579次组卷
|
9卷引用:第20题 平面向量最值范围,解法灵活数形为本(优质好题一题多解)
(已下线)第20题 平面向量最值范围,解法灵活数形为本(优质好题一题多解)安徽省六校教育研究会2023-2024学年高三下学期下学期第二次素养测试(2月)数学试题(已下线)考点2 平面向量基本定理及坐标表示 --2024届高考数学考点总动员【练】(已下线)考点4 平面向量的范围问题 --2024届高考数学考点总动员【讲】(已下线)第五套 最新模拟重组精华卷(2月开学考试)湖南省株洲市第二中学2024年第四届“同济大学”杯数理化联赛高一数学试题江苏省苏州园二2023-2024学年高一下学期3月月考数学试题上海市格致中学2024届高三下学期三模数学试卷上海市上海师范大学附属外国语学校2024届高三热身考试数学试卷
名校
解题方法
4 . 已知
是两个不共线的向量,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ac60a23bfca88499a21cd4a36e4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7571f7b99e2b305b5d65ad47b876bd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
2024-02-29更新
|
519次组卷
|
2卷引用:湖南省岳阳市平江县第三中学2023-2024学年高二普通高中学业水平合格性考试仿真模拟(专家卷四)数学试题
名校
解题方法
5 . 空间中有三个向量
,
,
,
与
的夹角为
,
,
与
的夹角等于
与
的夹角,记为
.对任意
,存在实数
,
,使
成立,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4dccacd9ee8bf755fcbf191031a6c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0de0ffedc0f6d580ec36c1a4cba301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2d60bf04c34c39b2f9a4a4a28c8ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
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6 . 已知动点
在
所在平面内运动,若对于空间中任意一点
,都有
,则实数
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e86a514efc6dea439a1560ec0622c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 如图,在
中,
,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f157aab917082b835f4213ed81a3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32905649969178ac0426c6186627948d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d228c52dc920fd2f0861d4e4d7220ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/491bfd1c-851d-41fc-ac1f-937008314219.png?resizew=179)
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名校
8 . 如图,菱形
的边长为6,
,
,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598b7f3a67936706680472cacea55619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644295edd116d3f203fa632ab0a755e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3c21714a4b06449a38249c86f8cd1c.png)
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2023-08-11更新
|
414次组卷
|
4卷引用:新疆石河子第一中学2023-2024学年高二上学期9月月考数学试题
名校
9 . 如图,在等边三角形
中,
,点
为
的中点,点
是边
(包括端点)上的一个动点,则
的最小值为______ .
![](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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f06233da1e067a94c5abfeeee6dcdbf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/7/a1f01286-b2a7-401b-85dc-5a2f2bd0f939.png?resizew=139)
您最近一年使用:0次
2023-08-07更新
|
289次组卷
|
2卷引用:上海交通大学附属中学2023-2024学年高二上学期10月月考数学试题
名校
解题方法
10 . 已知
中,
,
,
是线段
上的两点,满足
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3a059203f65774fd8f321faa9e8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6703a78d8d161ec1b7bcd5dcfe45b22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8149e6cd3d2f2304af7a8527002a6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cf680b83dd7afbca098d80d370ca2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb7025bdeee3a087a9c25f0dc564f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
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2023-04-14更新
|
983次组卷
|
4卷引用:广东省阳江市2022-2023学年高二下学期期末数学试题