名校
1 . 设
,向量
,
,
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de59c5a3239777e9763a7249f40356ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9690262fc8e080220bcfd606b54e4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de86fd6be88f8b0a7f253f6233070fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b23cc1e2140104001dd399ace17e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-03-07更新
|
1393次组卷
|
5卷引用:贵州省贵阳市清华中学2023-2024学年高二下学期4月月考数学试题
名校
解题方法
2 . 定义:有限集合
,
则称
为集合
的“元素和”,记为
.若集合
,集合
的所有非空子集分别为
,
,…,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e46f01c4a5c57ded953c5796f318dd.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6e701c68e1038582c4ef1eceb87115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6559598727fb120a5cdbf4f15510615d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b5214a796412b3df9f716da0bf339b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685fdef2e4872004134d6bb7d1cf8f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf99487d7860d017c0747ff966edfd77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e46f01c4a5c57ded953c5796f318dd.png)
您最近一年使用:0次
2024-03-07更新
|
235次组卷
|
3卷引用:贵州省贵阳市清华中学2023-2024学年高二下学期4月月考数学试题
名校
解题方法
3 . 球面三角学是研究球面三角形的边、角关系的一门学科.如图,球
的半径为
,
,
,
为球面上三点,劣弧
的弧长记为
,设
表示以
为圆心,且过
,
的圆,同理,圆
,
的劣弧
,
的弧长分别记为
,
,曲面
(阴影部分)叫做曲面三角形,若
,则称其为曲面等边三角形,线段
,
,
与曲面
围成的封闭几何体叫做球面三棱锥,记为球面
.设
,
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7874b563ba2f6954d767ef8d14942f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9569bb48ec5f56fb51930fe2fadd751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb63917915784933ee066a41d455eae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44acc0ee22dc4b7750e8be825e7c1355.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/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcbec8352ce3dbfbf3b173045d0ba8f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9468931aa396efbdd7f50cc79f95f392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca45259311faa9f0a9cc61bc36b9a7c.png)
A.若平面![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若平面![]() ![]() ![]() |
您最近一年使用:0次
2024-02-23更新
|
1018次组卷
|
5卷引用:贵州省贵阳市清华中学2023-2024学年高二下学期4月月考数学试题
名校
解题方法
4 . 如图,在四棱锥
中,
平面
,
,
,
,
,点
是
的中点.
;
(2)求直线
与平面
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d6ee72557cb3c3830212d74bca615a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bc7e7906b002e1150680f6a67c30f4.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
您最近一年使用:0次
2023-09-18更新
|
714次组卷
|
7卷引用:贵州省贵阳市观山湖区第一高级中学2023-2024学年高二上学期9月月考数学试题
贵州省贵阳市观山湖区第一高级中学2023-2024学年高二上学期9月月考数学试题重庆市璧山来凤中学2023-2024学年高二上学期9月月考数学试题福建省泉州市晋江学校2023-2024学年高二上学期第一次阶段检测数学试题广东省茂名市高州中学2023-2024学年高二上学期12月月考数学试题广东省揭阳市普宁市第二中学2023-2024学年高三上学期第一次月考数学试题(已下线)专题06 用空间向量研究距离、夹角问题10种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)江西省2024届高三第一次稳派大联考数学试题
名校
5 . 数列
,
,
,
,
的一个通项公式为
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-10更新
|
1023次组卷
|
9卷引用:贵州省清镇市博雅实验学校2023-2024学年高二上学期第四次月考数学试题数学
贵州省清镇市博雅实验学校2023-2024学年高二上学期第四次月考数学试题数学四川省成都市简阳实验学校2023-2024学年高二下学期3月月考数学试题吉林省普通高中G6教考联盟2023-2024学年高二上学期1月期末考试数学试题(已下线)5.1.1 数列的概念(3知识点+6题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)5.1 数列基础(分层练习,8大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)(已下线)1.1 数列的概念4种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)(已下线)专题15 数列10种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(苏教版2019选择性必修第一册)(已下线)第四章 数列章末综合达标卷-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)(已下线)1.1.1 数列的概念(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)
解题方法
6 . 已知双曲线
的两个焦点分别为
,
,双曲线上一点
与
,
的距离差的绝对值等于
.
(1)求双曲线
的标准方程.
(2)过双曲线
:
的右焦点
,倾斜角为
的直线交双曲线于
,
两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ef1ff0b6addca3494d762c7602c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b318fd3b68f7097a6ee94eb398ea7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335caead9a9e7d18587492828f7c2456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
您最近一年使用:0次
7 . 已知数列
是等差数列,若
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09ee990503e5b3608267fbd91cf16d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8000007201d28a54901c28b9feb6f62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
8 . 已知圆
,直线
,圆上恰有一个点到直线
的距离等于1,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c18cb23575dca92e15e7328dae5ac09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1914bed3db489ecc0bf500b1ef7fef2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
解题方法
9 . 已知等差数列
的前
项和为
,若
,公差
.
(1)求
的表达式
(2)
是否存在最大值?若存在,求
的最大值及取得最大值时
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac85f2734fc720360f0fc8cecad570b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc807ea4b8a7ed325aee49aa292552ff.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
,
为单位向量,向量
与向量
的夹角为
,则向量
在向量
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fc7a342293983cc4865498c121493d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c984376f5475184e0d3e4f7e1bb65f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c984376f5475184e0d3e4f7e1bb65f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290710d643ab6cd3b9edd73815b1d8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c984376f5475184e0d3e4f7e1bb65f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-28更新
|
882次组卷
|
6卷引用:贵州省清镇市博雅实验学校2023-2024学年高二上学期第四次月考数学试题数学
贵州省清镇市博雅实验学校2023-2024学年高二上学期第四次月考数学试题数学江西省先知高考2024届高三上学期第二次联考数学试题上海市浦东新区上海市实验学校2024届高三上学期第三次月考数学试题黑龙江省哈尔滨市第一中学校2023-2024学年高三上学期期中数学试题(已下线)专题6.3 向量的数量积-举一反三系列(已下线)第05讲 6.2.4向量的数量积(2)-【帮课堂】(人教A版2019必修第二册)