名校
1 . 已知在四边形
中,
为等边三角形,
,点
为
边(含端点)上的动点,
与
相交于点
.当点
为
中点时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1f382ba3c3cd9322522a8d4e4042a5.png)
______ ;当点
在
边上运动时,若点
满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a450aecb61add1c2177f20a0f6b700.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/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/1c1f382ba3c3cd9322522a8d4e4042a5.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706c514e8247d28d251b678227fc6a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0601b43cf2c5fd7946c2e3a7829d4.png)
![](https://img.xkw.com/dksih/QBM/2022/12/12/3129487066177536/3130574068473856/STEM/3fa07ff10fc34bd6b0561cfd22447f29.png?resizew=176)
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2022-12-14更新
|
845次组卷
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2卷引用:天津市实验中学2022-2023学年高三上学期第二阶段学习质量检测数学试题
名校
2 . 已知点
在
所在的平面内,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2022-05-27更新
|
3900次组卷
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10卷引用:辽宁省鞍山市第一中学2022届高三下学期六模考试数学试题
辽宁省鞍山市第一中学2022届高三下学期六模考试数学试题(已下线)专题15平面向量-2022年新高三数学暑假自学课精讲精练(已下线)10.3 平面向量的应用(精讲)山东省济宁市第一中学2022-2023学年高一下学期期中数学试题广东省三校2022-2023学年高一下学期期中联考数学试题广东省广州市铁一中学等三校2022-2023学年高一下学期期中联考数学试题福建省泉州市2022-2023学年高一下学期适应性练习数学试题山西省晋城市第一中学校2022-2023学年高一下学期3月月考数学试题广东省深圳实验学校高中部2023-2024学年高一下学期第一阶段(4月)考试数学试题(已下线)专题01 平面向量及其应用(2)-期末真题分类汇编(新高考专用)
3 . 已知非零平面向量
满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7cad34fccd0fe584087604e863f352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480df6a1b24c07b8116bd02603617740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c76bba8fc146493e28131e77e6a4cb7.png)
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解题方法
4 . 已知平面向量
的夹角为
,满足
.平面向量
在
上的投影之和为2,则
的最小值是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a268b99842456d3af045077b88b9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c8b6525cb8f97c5de980b90223f9c0.png)
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名校
解题方法
5 . 已知
,
是以
为圆心,
为半径的圆周上的任意两点,且满足
,设平面向量
与
的夹角为
(
),则平面向量
在
方向上的投影的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede359ccb522009b4fae3df0623054f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49edf1756e0f0e468210f7ab0fad4bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588414d07bcedbf1e7d46d0d028e269d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5773af927ab0caa208eef1adf9e87aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4568f87bbf306a87fcbb054ec4fc3ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588414d07bcedbf1e7d46d0d028e269d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b0fa63c2cb0f75e1567039892d9a0.png)
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名校
解题方法
6 . 已知平面向量
,
,
满足
,
,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549d4d5cc28db404226013ce174d0e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5339a52fa75cbef91b581bfc3f61f2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b76b4381a416d39fe32bdf9125a45d8.png)
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2021-09-03更新
|
2259次组卷
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3卷引用:浙江省名校协作体2021-2022学年高三上学期开学联考数学试题
浙江省名校协作体2021-2022学年高三上学期开学联考数学试题(已下线)专题14 平面向量-备战2022年高考数学(理)母题题源解密(全国甲卷)辽宁省实验中学2022-2023学年高三上学期第一次月考数学试题
名校
解题方法
7 . 已知
的外接圆圆心为
,
,若
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee192964d53beb6dcae4192d60e268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841627749d958bc4696b1d311c2a70ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 双曲线
,圆
在第一象限交点为
,曲线
.
![](https://img.xkw.com/dksih/QBM/2021/1/4/2629059295584256/2629722248069120/STEM/5ba88b69-714b-4cea-b3cb-3b6f1e4c8d0c.png?resizew=244)
(1)若
,求b;
(2)若
,
与x轴交点记为
,P是曲线
上一点且在第一象限,并满足
,求∠
;
(3)过点
且斜率为
的直线
交曲线
于M、N两点,用b的代数式表示
,并求出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771f036702e7812030ead9a5ec6cd061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1777bb96c05fa932ef1ca5c716bc391e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4564dc28307341aea4003be38c19dfdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c194bc67a83a9b148e9c8e084a1740.png)
![](https://img.xkw.com/dksih/QBM/2021/1/4/2629059295584256/2629722248069120/STEM/5ba88b69-714b-4cea-b3cb-3b6f1e4c8d0c.png?resizew=244)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781e30964f70270f2cdf5d4c15ec3f1e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526d1c1f892971b9398ba764356dec3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a52e26180930ad5b56a8a45f28a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45583fdd9864cc361ac09278f4f7241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05cb42d0a9194de4a06d4296ca5ae6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf8a7029669bf1774a24f3ef6273ca88.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42144b85976d32be4536955fabc70b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e39f4de2b3e4010a4cfacd1d6342cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c58625fd2a35ef8883b60af16bf8926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c58625fd2a35ef8883b60af16bf8926.png)
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2021-01-05更新
|
1355次组卷
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5卷引用:2020年上海市高考数学练习
2020年上海市高考数学练习(已下线)热点07 解析几何-2021年高考数学【热点·重点·难点】专练(上海专用)上海市建平中学2020-2021学年高二上学期12月月考数学试题(已下线)考向11 正弦、余弦定理和解斜三角形-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)考向13 平面向量的数量积及应用-备战2022年高考数学一轮复习考点微专题(上海专用)
9 . 已知平面向量
,
,
,
,
,
满足
,
,则
的最小值是________ ,
的最大值是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b6ac3802ee31cb30600b61beb3e827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf785aa19bb8f014ec8b396877c2284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160cd51b13868fa1dfa7de3259e0be3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3291121798847289abc75dab1a03497c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333f034b52b46a793cf890196da7dd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a60aa75c1b2394116db017a51b3e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364545f9860c9d367b54d54b83f20fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921421ead02e68be3ec21ec4c9b00b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358fb14adc150d7c159dacd5f995b8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71ce2b863f19099e0a803b56d43a91d.png)
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