名校
1 . 在
中,已知
,
,
,
为线段
上的一点,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4412a34091f001919005100be0679e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebeaeecd25fe8eb20eba992535fbd3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96f3e2373808e8024a211b24c16519e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad64e3df2fca3c8737c1603e5b98de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-04更新
|
3849次组卷
|
13卷引用:四川省绵阳市绵阳中学2023届高三高考模拟理科数学试题(六)
四川省绵阳市绵阳中学2023届高三高考模拟理科数学试题(六)2020届湖南省长沙市长郡中学高三上学期月考(四)数学(理)试题(已下线)易错点06 平面向量-备战2021年新高考数学一轮复习易错题(已下线)考点15 平面向量的线性运算-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)湖南省长沙市长郡中学2019-2020学年高三上学期第四次月考理科数学试题山西省山西大学附属中学2021届高三下学期三月模块诊断理科数学试题辽宁省铁岭市六校协作体2021-2022学年高一下学期期末联考数学试题河南省郑州市第四高级中学2022-2023学年高三上学期第二次调研考试文科数学试题江苏省南通中学2022-2023学年高一下学期第一次月考数学试题北京市西城区2023-2024学年高一上学期期末复习数学试题(三)(已下线)第一次月考选择题压轴题十四大题型专练-举一反三系列(已下线)专题4-2向量四心及补充定理综合归类-1(已下线)期中测试卷01--《重难点题型·高分突破》(人教A版2019必修第二册)
真题
名校
2 . 设
是平面直角坐标系中相异的四点,若
,
,且
,则称
调和分割
,已知平面上的点C,D调和分割点A,B,则下面说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcae11a88df6b87a18e0bc773f16f715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfe42bc18cdcb3dc8fcbd66f60e7b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a716e9eaab5885522f033912c74a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2e34fee0d65efbeb5ec9a53b6a848f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfefd19874aeff8340735b3df468333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
A.C可能是线段![]() |
B.D可能是线段![]() |
C.C、D可能同时在线段![]() |
D.C、D不可能同时在线段![]() |
您最近一年使用:0次
2019-01-30更新
|
2395次组卷
|
8卷引用:2014-2015学年四川省绵阳南山中学高二学年入学考试数学试卷
(已下线)2014-2015学年四川省绵阳南山中学高二学年入学考试数学试卷【全国百强校】四川省阆中中学2018-2019学年高一(仁智班)下学期期中考试数学(理)试题2011年山东省普通高等学校招生统一考试理科数学高中数学人教A版必修4 第二章 平面向量 2.2.3 向量的数乘运算及其几何意义(4)2015年全国高中数学联赛黑龙江赛区预赛试题上海市进才中学2017-2018学年高二上学期期中数学试题(已下线)第五篇 向量与几何 专题6 调和线束 微点4 调和线束综合训练(已下线)【一题多变】定比分点 数乘求解
3 . 设
,过
作直线
分别交
(不与端点重合)于
,若
,
,若
与
的面积之比为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626c10217be23f3f88d306fefac6feac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392e7a97bd1afd55bb421fc50d37aeb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b000f62dde81d76003c56ef672aee0df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f50121e1d1b6c95e418fc11afe0e12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41afcaf30bb7b92c80e65a5efa2edc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-08-18更新
|
1390次组卷
|
4卷引用:四川省三台中学实验学校2017-2018学年高一4月月考数学试题
四川省三台中学实验学校2017-2018学年高一4月月考数学试题四川省三台中学实验学校2019-2020学年高一6月月考(期末适应性)数学试题(已下线)专题5 向量小题归类-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)重难点专题01 妙用奔驰定理解决三角形面积比问题-【帮课堂】(苏教版2019必修第二册)
名校
解题方法
4 . 在直角梯形
,
,
,
,
,
,
分别为
,
的中点,点
在以A为圆心,
为半径的圆弧
上变动(如图所示),若
,其中
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2b10ea95ea114a4913cfd958b2a6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0094d7f0082284659eda005ef722580d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff09983e33ad835a1126678ba1d2156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93edbd735d79524f463085a4e9093bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c9aedf70a0d7dae193ec00ca059565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3caaa2a257a1b5064bc5661fb4e69ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0179b51aa7d2e5893bce407c367c409f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c336583571833d04c52f0fd5d7cff2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-04-26更新
|
1428次组卷
|
3卷引用:四川省雅安市2018届高三下学期三诊数学(理)试题
名校
5 . 已知双曲线
:
右支上的一点
,经过点
的直线与双曲线
的两条渐近线分别相交于
,
两点.若点
,
分别位于第一,四象限,
为坐标原点.当
时,
的面积为
,则双曲线
的实轴长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681cc4cd0bd8467faedcbb5102dca112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18436f0e2391b0ab7537a566fc28204c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-03-28更新
|
2280次组卷
|
3卷引用:四川省成都市2018届高三第二次诊断性检测数学(理)试题
名校
6 . 在
中,
,
是
的内心,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ef5820f1d9b6d339a24638f48ef094.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d0cd198f423d1a7d6b9a7999c18ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bddefabbeb808377158c307bc0d903f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ef5820f1d9b6d339a24638f48ef094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78362e543d6e6f6e47e42ddef6a0885f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d0cd198f423d1a7d6b9a7999c18ee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-12-07更新
|
1931次组卷
|
2卷引用:四川省德阳市2018届高三三校联合测试数学(理)试卷
名校
7 . 已知
,
,
,点
在
内,且
与
的夹角为
,设
,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1181366d40666079a73496076c382f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e6e5f76722ffff5982d25bd20654d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19468abe1aa4e99874d13b8359ec7332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7195a0b5b59c9462b9faaf5a9fcfc6e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911c0a2ab5e2e85f1ad267f41cb96b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74cf83af1c68209ae44a084633d45065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0be44077d42cfffece905b1af13e000.png)
A.2 | B.![]() | C.3 | D.4 |
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2017-11-13更新
|
3247次组卷
|
13卷引用:四川省宜宾市叙州区第二中学校2019-2020学年高一下学期第四学月考试数学(文)试题
四川省宜宾市叙州区第二中学校2019-2020学年高一下学期第四学月考试数学(文)试题四川省遂宁市射洪中学2021-2022学年高一下学期第一学月考试数学试题湖北省鄂东南省级示范高中教育教学改革联盟2018届高三上学期期中联考数学文试题1湖北省鄂东南省级示范高中教育教学改革联盟2018届高三上学期期中联考数学文试题2【全国市级联考】江西省上饶市2017-2018学年高一下学期期末考试数学(理)试题【全国百强校】甘肃省兰州市第一中学2018-2019学年高一5月月考数学试题【全国百强校】广西南宁市第三中学2018-2019学年高一下学期期中考试数学试题河北省保定市2018届高三下学期第二次模拟数学(文)试题百师联盟2019届全国高三模拟考试(三)全国卷文科数学试题(已下线)考点27 平面向量基本定理和坐标表示、坐标运算(考点专练)-备战2021年新高考数学一轮复习考点微专题(已下线)专题5.2 平面向量的基本定理及坐标表示(精练)-2021届高考数学(理)一轮复习讲练测(已下线)专题5.2 平面向量的基本定理及坐标表示(精练)-2021年高考数学(文)一轮复习学与练广东省东莞市弘林高级中学2022-2023学年高一下学期3月月考数学试题
名校
8 . 如图,在边长为2的正六边形
中,动圆
的半径为1,圆心在线段
(含端点)上运动,
是圆
上及内部的动点,设向量
(
,
为实数),则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451a4fca3cd6bf6f06f50f6f32785392.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/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-08-13更新
|
3530次组卷
|
8卷引用:四川省成都市第七中学2016-2017学年高三下学期零诊模拟数学(理)试题
四川省成都市第七中学2016-2017学年高三下学期零诊模拟数学(理)试题四川省成都市第七中学2017-2018学年高二上学期第一次月考数学(理)试题(已下线)专题5-2 向量线性运算及四心综合归类- 2(已下线)专题13 平面向量(选填题)-3湖北省2022-2023学年高三下学期3月调研数学试题(已下线)专题06 平面向量-1山西省晋城市第一中学校2022-2023学年高一下学期第二次调研数学试题(已下线)模型3 巧用“等和线定理”模型(高中数学模型大归纳)
名校
解题方法
9 . 如图,在边长为2的正六边形
中,动圆
的半径为1,圆心在线段
(含端点)上运动,
是圆
上及内部的动点,设向量
(
,
为实数),则
的最大值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/17/76b11bb7-44d1-4dc5-83de-dc337012f236.png?resizew=148)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c110a8e510a8f8e9008f8c5c6f8e102.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/8fd1f0ace9ca0b79929e73af6c201c2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/17/76b11bb7-44d1-4dc5-83de-dc337012f236.png?resizew=148)
A.2 | B.3 | C.5 | D.6 |
您最近一年使用:0次
2017-08-13更新
|
1177次组卷
|
2卷引用:四川省成都市第七中学2016-2017学年高三下学期零诊模拟数学(文)试题
名校
10 . 在直角梯形
中,
,
,
,
,
分别为
,
的中点,以
为圆心,
为半径的半圆分别交
及其延长线于点
,
,点
在
上运动(如图).若
,其中
,
,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
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2017-05-24更新
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3卷引用:四川省大教育联盟2017届高中毕业班第三次诊断性考试数学(理)试题