名校
1 . 如图所示,以向量
=a,
=b为边作
,又
用a,b表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfde0038de382d2be9701cea23ef7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fdf7d989f77a32ca9e0361a9cc956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a19e2e80514dbbb5445d6b6d1e78c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e465e1fe06eb2680de52a836b2dfd6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f8d7baea3caca7ea0247117a1edeab.png)
![](https://img.xkw.com/dksih/QBM/2017/7/10/1727072086056960/1728536951111680/STEM/859ba360fc53473eb598232a3effc8ae.png?resizew=196)
您最近一年使用:0次
2017-07-12更新
|
499次组卷
|
7卷引用:安徽省滁州市定远县育才学校2020-2021学年高一下学期第三次月考文科数学试题
安徽省滁州市定远县育才学校2020-2021学年高一下学期第三次月考文科数学试题2014-2015学年福建省德化一中高一下学期期末质量检查数学试卷河南省兰考县第二高级中学2016-2017学年高一下学期期末考试数学(理)试题(已下线)2018年5月20日 每周一测——《每日一题》2017-2018学年高一数学人教必修4人教A版(2019) 必修第二册 逆袭之路 第六章 6.2.3 向量的数乘运算甘肃省甘南藏族自治州合作第一中学2018-2019学年高一下学期期末考试数学试题(已下线)6.2.3向量的数乘运算-【高效导学】2021-2022学年高一数学下学期同步精品导学案(人教A版2019必修第二册)
解题方法
2 .
为椭圆
上的任意一点,
为圆
的任意一条直径,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fdd1989149897babe496145a3812e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360219e869c4b3da4e1b822d393ff742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a33e5d0dbdd0f15854f0d7dd8b53058.png)
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解题方法
3 . 在
中,点
在线段
上,且
,点
在线段
上(与点
不重合).若
,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/9c290cdc4cf3d6b82581e68ecaf5c7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b068d24d7afed89171bee104b81a4708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 点
在
内(含边界)运动,且
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b461cbe5a345727bc752ef8a063cf7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fc838e1477179b36ca7481ee2cc1e8.png)
A.0 | B.1 | C.2 | D.3 |
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名校
5 . 如图,在
中,
,
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4f0c1c9cca0555906d8a53e1a6803d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a5c5354a353046e062fd14c722e6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f48cb56285aa78588baa224f732ff64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12cd088a6f16ee92bb314494426f11c.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572472770240512/1572472776196096/STEM/551eda7b09114b29a1498afb116d461c.png?resizew=132)
您最近一年使用:0次
2016-12-04更新
|
1911次组卷
|
9卷引用:安徽省淮北市树人高级中学2020-2021学年高一下学期期中数学试题
10-11高三上·浙江金华·期中
名校
解题方法
6 . 在
中,
是
的中点,
,点
在
上,且满足
,则
的值为___________ .
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3432d20e661779ddcefda76afcc2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8943a0554f1a8a39b801fabd650a4aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca79e62e5dfa4fdc2f5594d11db63a6.png)
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2018-03-31更新
|
610次组卷
|
9卷引用:2012届安徽省无为县大江、开城中学高三上学期联考理科数学
(已下线)2012届安徽省无为县大江、开城中学高三上学期联考理科数学(已下线)2011届浙江省金华一中高三上学期期中考试文科数学卷2015-2016学年湖北省汉川市高一上学期期末考试数学试卷甘肃省肃南县第一中学2016-2017学年高一下学期期末考试数学试题北京市通州区2017-2018学年高三上期中数学试题(已下线)【新东方】双师309高一下北京市八一学校2022届高三12月月考考试数学试题人教B版(2019) 选修第一册 北京名校同步练习册 第一章 空间向量与立体几何 本章测试(已下线)FHsx1225yl077
解题方法
7 . 如图所示,平面内有三个向量
,
,
,
与
夹角为
,
与
夹角为
,且
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/b9b1d5ff-845c-43ca-ba05-fa219a6e9d00.png?resizew=191)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf2d033664f89ef059ac8303622a3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906ba2f77db39a6e782935af29ee17a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ff84ceef6715b52e6620accbf8de37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1958665acc1fb098baea3d1e205fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3b315233a367cb391d42ac6dfde4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/b9b1d5ff-845c-43ca-ba05-fa219a6e9d00.png?resizew=191)
A.1 | B.![]() | C.![]() | D.![]() |
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8 . 在等腰梯形ABCD中,已知
,
点E和点F分别在线段BC和CD上,且
则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c0ad79161fb29ec231dd0248623ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5727431537c713251a6cd7feaaf8b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9582ff8fce5ecdc4460bb4c72dfe402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7173b357dec0dca7d6da123345089741.png)
您最近一年使用:0次
2016-12-03更新
|
6985次组卷
|
20卷引用:2017届安徽六安一中高三上学期月考二数学(文)试卷
2017届安徽六安一中高三上学期月考二数学(文)试卷安徽省马鞍山市第二中学2019-2020学年高二下学期开学考试数学(理)试题2015年全国普通高等学校招生统一考试文科数学(天津卷)2016届中国人大附中高三上期中检测文科数学试卷2015-2016学年天津市河西区高一上学期期末数学试卷江苏省淮安市淮海中学2017届高三下学期第二次阶段性测试数学(理)试题江苏省淮安市淮海中学2017届高三下学期第二次阶段性测试数学(文)试题2019年11月广西壮族自治区柳州市一模数学(文)试题甘肃省武威市凉州区武威第一中学2019-2020学年高三上学期期中数学(文)试题北京市海淀区清华大学附属中学2019-2020学年高三上学期10月月考数学试题2020届广西柳州市高三第一次模拟考试数学(文)试题山西省太原市第五中学2021届高三上学期9月阶段性考试数学(文)试题(已下线)专题06 平面向量(练)-2021年高考数学二轮复习讲练测(新高考版)(已下线)专题06 平面向量(练)-2021年高考数学二轮复习讲练测(文理通用)(已下线)考点18 平面向量的基本定理及坐标表示-备战2022年高考数学(文)一轮复习考点帮天津市第二十一中学2021-2022学年高一下学期期中数学试题天津市南开区2021-2022学年高一下学期期中数学试题(已下线)第36讲 平面向量的数量积(已下线)专题9 平面向量(文科)-1专题04平面向量
9 . 已知平面直角坐标系内的两个向量
,
,且平面内的任一向量
都可以唯一的表示成![](https://img.xkw.com/dksih/QBM/2015/5/13/1572106524016640/1572106529955840/STEM/aa45ab9557b64d6c945e1b1a1e7fcc6e.png)
为实数),则实数
的取值范围是
![](https://img.xkw.com/dksih/QBM/2015/5/13/1572106524016640/1572106529955840/STEM/a328387664654d399b9cdfbb3909cdc9.png)
![](https://img.xkw.com/dksih/QBM/2015/5/13/1572106524016640/1572106529955840/STEM/1c0d0d96df0a45d5bf256f5472429aef.png)
![](https://img.xkw.com/dksih/QBM/2015/5/13/1572106524016640/1572106529955840/STEM/275b0aa5e1a24ac2b4bf251b9d31a94e.png)
![](https://img.xkw.com/dksih/QBM/2015/5/13/1572106524016640/1572106529955840/STEM/aa45ab9557b64d6c945e1b1a1e7fcc6e.png)
![](https://img.xkw.com/dksih/QBM/2015/5/13/1572106524016640/1572106529955840/STEM/eee2ac378d064f34b1d913f7e55cdb3e.png)
![](https://img.xkw.com/dksih/QBM/2015/5/13/1572106524016640/1572106529955840/STEM/3da6146dfc8e434cb9940037bdb1689e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2016-12-03更新
|
1024次组卷
|
5卷引用:2015-2016学年安徽省合肥市一中高一上学期期末数学试卷
2015-2016学年安徽省合肥市一中高一上学期期末数学试卷2015届上海市长宁区、嘉定区高三二模理科数学试卷2015届上海市长宁区、嘉定区高三二模文科数学试卷2015-2016学年辽宁沈阳东北育才学校高二上学期第一次作业数学试卷(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(文)一轮复习讲练测
10 . 如图,在平面斜坐标系
中,
,平面上任一点
的斜坐标定义如下:若
(其中
分别为与
轴,
轴同方向的单位向量),则点
的斜坐标为
.此时有
,
,试在该斜坐标系下探究以下问题:
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/0e4c67a9ced441f68314fa73ec430d25.png?resizew=262)
(1)
,求
的坐标;
(2)
,求
的值;
(3)求与
同向的单位向量的坐标.
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/8d59d9d9324b405e95d341dcbc7676c3.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/f2c091242149447b9189605145a794a8.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/67b4301db4714e53ad11dc15775b5d85.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/c5e622d225174d70b056bddd6e453279.png?resizew=99)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/aeddd211e11e43429adf4bb6a7bc72cb.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/e8f166673c71465e9fbec183beca73f8.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/4c5c531365a1433c80286409b0ba44ff.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/67b4301db4714e53ad11dc15775b5d85.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/e5263f07971b46409f30be46090bdaf6.png?resizew=69)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/6b618c8e5c774a8b8868d2f87280b85c.png?resizew=73)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/0e4c67a9ced441f68314fa73ec430d25.png?resizew=262)
(1)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/fe00dd127aea490289e3ebcfa80931fe.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/66ee375ddb6d46ff9f0c3c02111c1f66.png?resizew=27)
(2)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/ee2cb0af617941a4a59e9bd42db259f3.png?resizew=73)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/1278afde0fd5481b8cbabdf151d83fc0.png?resizew=55)
(3)求与
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572737736548352/1572737742921728/STEM/9d6ef5c82c6e41cd895b170cbef30515.png?resizew=25)
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