名校
1 . 如图,
,
是半径为6的圆
的两条不同的直径,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32956b987256a7393eeea18036e71938.png)
A.![]() |
B.若![]() ![]() ![]() ![]() |
C.![]() |
D.满足![]() ![]() ![]() |
您最近一年使用:0次
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2 . 对于
,有如下命题,其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
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3 . 设平面向量
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e59d5bbd80ec0a39484a30d546fc6c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43d686ece3208a8ee5c8b5d9cce1639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44db97ba0f06157f5a90187a572397b2.png)
A.1 | B.14 | C.![]() | D.![]() |
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解题方法
4 . 如图,设
,
是平面内相交成
角的两条数轴,
,
分别是与
轴,
轴正方向同向的单位向量,若向量
,则把有序数对
叫做向量在斜坐标系
中的坐标,记为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4224bf1cbcd51f4cbdce93d981d65c5a.png)
,
计算
的大小
(2)若在该坐标系下,已知
,
,
求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14069d21d32c724f0ebe3e311f114c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5253a9a71037d60059b60237824193b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9aa1d34d66a6876aa0566c8fc8b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4224bf1cbcd51f4cbdce93d981d65c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18f32baa8e324b33d707f8d59e0a4f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ea76d1bd036f5336bb7bdd65984c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4336e15cd9b12893426bbf7bba3a2353.png)
(2)若在该坐标系下,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f537bc105866b16194cd345edc651f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8835f2c4b86b4be1082ac201c36e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf9765a33cab40e7f0bb46e9f78b33ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985a67e5e24e049558cd5289b6ee9ce5.png)
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解题方法
5 . 在
中,
为
边上的中线,
为
的中点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af133a210f51becbb3fbb89083a43984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.![]() | D.1 |
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6 . 现给出两个条件:①
,②
,从中选出一个条件补充在下面的问题中,并以此为依据求解问题.(选出一种可行的条件解答,若两个都选则按第一个解答计分)
在
中,
,
,
分别为内角A,
,
所对的边,若________.
(1)求
;
(2)若
的面积为
,求
外接圆半径的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df2aa5ec7101c7dd355f0cab6f4fe31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b41aa7901f4aaf82c621e055178baa.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
7 . 如图,在四边形
中,已知
的面积为
,记
的面积为
.
的大小;
(2)若
,设
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1630c70ad5ad9ac6547fb0523b013443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0829c882d75043711802bd289510561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fcc9a4a6d0ad203358b16760fadc2d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9f9fcdffb61b5366a158ebd115cd3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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解题方法
8 . 如图所示,在棱长为2的正方体
中,点
,
分别为棱
,
上的动点(包含端点),则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
A.四面体![]() |
B.当![]() ![]() ![]() ![]() ![]() |
C.正方体![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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9 . 已知复数
,则复数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c9cc1c457badbe260706ebc52ed063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-03更新
|
262次组卷
|
4卷引用:福建省宁德市福宁古五校联合体2023-2024学年高一下学期4月期中考试数学试题
福建省宁德市福宁古五校联合体2023-2024学年高一下学期4月期中考试数学试题四川省仁寿第一中学校(北校区)2023-2024学年高一下学期5月期中质量检测数学试题(已下线)10.2 复数的运算-【帮课堂】(人教B版2019必修第四册)(已下线)5.2.2复数的乘法与除法-【帮课堂】(北师大版2019必修第二册)
名校
解题方法
10 . 在直角
中,
,
,
,平面
内动点
满足
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e240a6378adf6d23ebf9cc710c9bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ae300e4ff3e89d0e1e5671eacd9585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811f2b0933367b7cb32a7696510f2089.png)
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2024-05-03更新
|
130次组卷
|
2卷引用:福建省宁德市福宁古五校联合体2023-2024学年高一下学期4月期中考试数学试题