名校
1 . 下面图1是某晶体的阴阳离子单层排列的平面示意图.其阴离子排列如图2所示,图2中圆的半径均为1,且相邻的圆都相切,A,B,C,D是其中四个圆的圆心,则
•
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/77e0e884-2a32-40d7-8370-8e3860e88c87.png?resizew=342)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e74e57f2b354a7e5f3facbb9ac54aae.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/77e0e884-2a32-40d7-8370-8e3860e88c87.png?resizew=342)
A.32 | B.28 | C.26 | D.24 |
您最近一年使用:0次
2020-06-16更新
|
1831次组卷
|
14卷引用:河南省顶级名校2020届高三6月考前模拟考试理科数学试卷
河南省顶级名校2020届高三6月考前模拟考试理科数学试卷河南省顶级名校2020届高三6月考前模拟文科数学试题广东省深圳市2020届高三下学期第二次调研数学(文)试题广东省深圳市2020届高三下学期第二次调研数学(理)试题2020届广东省深圳市高三二模数学(文)试题2020届广东省深圳市高三二模数学(理)试题(已下线)第29讲 平面向量的数量积及其应用-2021年新高考数学一轮专题复习(新高考专版)(已下线)考点28 平面向量的数量积与应用(考点专练)-备战2021年新高考数学一轮复习考点微专题湖北省武汉市五校联合体2019-2020学年高一下学期期末数学试题内蒙古呼和浩特市2021届高三质量普查调研考试理科数学试题内蒙古呼和浩特市2021届高三质量普查调研考试文科数学试题普通高等学校招生国统一考试 2020-2021学年高三上学期数学(理)考向卷(六)福建省宁化第一中学2020-2021学年高一下学期第二次月考数学试题(已下线)专题06 数学情景与新文化100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)
名校
解题方法
2 . 已知
,
,则当
最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa3d3ca8ae9c034b384ba8267808553.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3553e16748d96cd05ad132625d925a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e1b986cde6b927f8ea96dde28b6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa3d3ca8ae9c034b384ba8267808553.png)
您最近一年使用:0次
2020-03-04更新
|
257次组卷
|
2卷引用:河南省平顶山市2018-2019学年高一下学期期末数学试题
解题方法
3 . 已知向量
,若
三点共线.
(1)求实数
的值;
(2)若
,求
的坐标;
(3)求
在
方向上的投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56900282673cd47dc14b0e0a5413c8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7915e42fb51e0e5d082d01768618e3e6.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524156ae1ea772e32a0d894b8c905072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75fc81977aee721525b4c5625f5a097.png)
您最近一年使用:0次
4 .
所在平面内一点
满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a18798408a1b91fdb12deb79f0b562a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf25c248a27651e84dc9e270a6b2802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2d7ec3ab513b8ce3ca2d7bf7b3ad95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a18798408a1b91fdb12deb79f0b562a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知
是
的重心,角
所对的边
满足
,且
,若
为平面
内一点,则
的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf23724646026bc00ba6cdf5d52a303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4375c2e6043d6b700c7f1ca0609d6109.png)
A.-2 | B.![]() | C.![]() | D.-1 |
您最近一年使用:0次
名校
解题方法
6 . 在正六边形ABCDEF中,点P为CE上的任意一点,若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/6d29d4f5-298c-49a9-8af1-362814c91ef7.png?resizew=123)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ad354af19daf2450125dba2a92887f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/6d29d4f5-298c-49a9-8af1-362814c91ef7.png?resizew=123)
A.2 | B.![]() | C.3 | D.不确定 |
您最近一年使用:0次
2020-03-03更新
|
643次组卷
|
5卷引用:河南省名校联盟2021-2022学年上学期高三第一次诊断考试文科数学试题
河南省名校联盟2021-2022学年上学期高三第一次诊断考试文科数学试题河南省南阳市第一中学校2021-2022学年高三上学期第四次月考数学(文)试题山东省聊城市2018-2019学年高一下学期期末数学试题(已下线)文科数学-全国名校2020年高三5月大联考考后强化卷(新课标Ⅰ卷)广西玉林市博白县中学2022-2023学年高一下学期4月联考数学试题
解题方法
7 . 已知平面向量
,
,
,其中
,
(1)若
为单位向量,且
,求
的坐标;
(2)若
且
与
垂直,求向量
,
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedaec4e632c9981ce15f49b3f736706.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c13327875f7ecbfe021841d6f681a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ed729f3b3877d0217653620bb867e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03adf3fa0262d9bd46a2c794eb15746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e07c25df57a36d4f1b11d7d9fe16b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
您最近一年使用:0次
8 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d853fa400b5ca554acff9e008fe3bb6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
解题方法
9 . 已知
,
,若
与
的夹角为锐角,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddac50ca9d89729c6ac4a5d687bd3b0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dee7fd9bb7fff238f4fd52262196921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
10 . 如图,扇形
所在圆的半径为2,它所对的圆心角为
,
为弧
的中点,动点
,
分别在线段
,
上运动,且总有
,设
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/acd803c8-04ea-4926-8d97-7bc5379d9123.png?resizew=138)
(1)若
,用
,
表示
,
;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e20d6fe4fea186b697f6456cb7c6ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a9cb32a25c2a8bb99f75633b4cd5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049131856ba841523793ee3d83099014.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/acd803c8-04ea-4926-8d97-7bc5379d9123.png?resizew=138)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c11a7ce3d62a7c0ddcb8397ecec00d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754ff99a252a251da4b9b3db4912f57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c114400276606307388adbd66f4cb3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de88a91424dad8dbb931c2278f06598.png)
您最近一年使用:0次
2020-03-02更新
|
1013次组卷
|
4卷引用:河南省八市学评2017-2018学年高一下学期第二次测评数学(文)试题