名校
解题方法
1 . 已知平面向量
,
,
满足
,
,
且
,若对每一个确定的向量
,记
的最小值为
,则当
变化时,
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e405db6c09d6ab5739cabbb63cd3b3bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b422b00d665e3b3a2bebda69bb25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/073cc1a4bfc55840bab1b09be90cca70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2047ceb577ccb3a944173f310777ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26abac73b9cb1af5c5d8e8c2dd136bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.1 | B.![]() | C.![]() | D.![]() |
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2023-11-11更新
|
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5卷引用:2.1.1-2.1.2 圆的标准方程 圆的一般方程(十一大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
(已下线)2.1.1-2.1.2 圆的标准方程 圆的一般方程(十一大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)浙江省杭州第十四中学2023-2024学年高二上学期期中数学试题(已下线)专题02 直线和圆的方程(3)(已下线)专题02 直线和圆的方程(5)(已下线)专题01 平面向量压轴题(2)-【常考压轴题】
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2 . 平面直角坐标系
中,
,该平面上的动线段
的端点
和
,满足
,则动线段
所形成图形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.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/e8fae24d652401deb3037154b5d2cab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-04-01更新
|
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4卷引用:上海市复旦大学附属中学2019-2020学年高二上学期期中数学试题
3 . 定义
是向量
和
的“向量积”,它的长度
为向量
和
的夹角,若
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f09cdcf7e9015d2dedf4fe4d0c9a4d.png)
![](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/89fbae8f6a086a4cfc2484f68bdeb3ab.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/a856e0f339742006966d5dbd63874b1b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 在平面直角坐标系
中,已知向量
点Q满足
曲线
区域
若
为两段分离的曲线,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4065122afbc3fa32df82e45351500ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79740405a410b1bc0b1eb8461df0db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b69b8c589b97f75b4c68bb5c60549f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0913f76c6d5f504b389f41e9cd3a2def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7680916ae29159d485852b67b018c93.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2卷引用:上海市曹杨二中2018-2019学年高二下学期期中数学试题
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5 . 如图,设P是单位圆和x轴正半轴的交点,M、N是单位圆上的两点,
是坐标原点,
,
,
,
,则
的取值范围为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/e2dca177-53a1-4817-a90c-bf463a3eb816.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c3ac2f8aaa72ecb8275912bacb9c00c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4313695734a23eb72505011324696a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7cbba6f130b84315180391c177d0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcec9ba87adb5c54e6bc09bd7b232cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/e2dca177-53a1-4817-a90c-bf463a3eb816.png?resizew=151)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知
,
,则与
平行的单位向量为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0906a689800ca8cebb1a47b31338d871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748530e5e681a5ef0319dee464dcc6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb1d6b61205267d523c5cab8ac68cf5.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
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2019-11-11更新
|
316次组卷
|
4卷引用:上海市浦东新区2018-2019学年高二上学期期中数学试题
名校
解题方法
7 . 已知点
在圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcca14a01e009fc0c8ef0bc6ffe258a7.png)
上,点N在圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0214ff0c86fe9a5103d6347a02a62a3.png)
上,则下列说法错误的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcca14a01e009fc0c8ef0bc6ffe258a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a392337c91fd9fe51f670e2249dc4857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0214ff0c86fe9a5103d6347a02a62a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7682e9e90f222dfb9b1fa47563241cef.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() |
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2018-04-15更新
|
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6卷引用:上海市格致中学2020-2021学年高二上学期12月月考数学试题
9-10高一下·辽宁·期中
名校
8 . 若平面向量
和
互相平行,其中
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431fdf377f3e2fc1be705aa8bb3b9de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764a8858e4c08215d5f875b1fe49a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213ebd58bb0de8c55a4a2d2b51c70172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431fdf377f3e2fc1be705aa8bb3b9de4.png)
A.![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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2018-11-08更新
|
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5卷引用:上海市交通大学附属中学2018-2019学年高二上学期10月月考数学试题