名校
解题方法
1 . 如图,在三棱锥
中,
平面
,垂足为点O( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/8f79b338-852e-4989-817e-80eb8ed71fc4.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/8f79b338-852e-4989-817e-80eb8ed71fc4.png?resizew=161)
A.若![]() ![]() |
B.若该三棱锥的外接球的球心在![]() ![]() |
C.“![]() ![]() |
D.“![]() ![]() |
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名校
解题方法
2 . 在平面直角坐标系xOy中,已知直线l过点
,圆
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e44d6bb8e93884409b415abea21137.png)
A.过点![]() ![]() |
B.若直线l的一个方向向量为![]() ![]() ![]() |
C.若直线l的一个方向向量为![]() ![]() |
D.当m=-8时,直线与圆C相交的最短弦长为2 |
您最近一年使用:0次
名校
解题方法
3 . 已知复数
满足
(其中i为虚数单位)( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8700acc1e1d8538e442b6df6751bf8.png)
A.![]() |
B.设![]() ![]() ![]() |
C.在复平面内![]() ![]() ![]() |
D.记向量![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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4 . 如图是杭州2022年第19届亚运会会徽,名为“潮涌”,钱塘江和钱江潮头是会徽的形象核心,绿水青山展示了浙江杭州山水城市的自然特征,江潮奔涌表达了浙江儿女勇立潮头的精神气质,整个会徽形象象征着新时代中国特色社会主义大潮的涌动和发展.如图是会徽的几何图形,设弧
长度是
,弧
长度是
,几何图形
面积为
,扇形
面积为
,若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/22/68c71cee-04bc-457b-a71c-a286879eece6.png?resizew=345)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa3a310c1f8a5af35dc3328d874e18e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6293713a32903cd8159d9e420bc6d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a39f04d1c3551403dbbed35deb01232.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/22/68c71cee-04bc-457b-a71c-a286879eece6.png?resizew=345)
A.1 | B.2 | C.3 | D.4 |
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2022-08-21更新
|
1674次组卷
|
9卷引用:辽宁省大连市第八中学2021-2022学年高三上学期10月月考数学试题
辽宁省大连市第八中学2021-2022学年高三上学期10月月考数学试题浙江省新高考研究2023届高三上学期8月测试数学试题天津市南开中学2023届高三上学期统练1数学试题宁夏平罗中学2023届高三上学期第一次月考数学(文)试题福建省龙岩第一中学2023届高三上学期第二次月考数学试题(已下线)第01讲 任意角和弧度制及三角函数的概念 (高频考点—精讲)-2福建省福州外国语学校2024届高三上学期10月月考数学试题广东省珠海市斗门区第一中学2024届高三上学期阶段性考试数学试题(已下线)第24讲 三角函数概念及定义5种题型总结-【同步题型讲义】(人教A版2019必修第一册)
名校
解题方法
5 . 如图,半径为1的光滑圆形轨道圆
、圆
外切于点
,点
是直线
与圆
的交点,在圆形轨道
、圆
上各有一个运动质点
,
同时分别从点
、
开始逆时针绕轨道做匀速圆周运动,点
,
运动的角速度之比为2:1,设点
转动的角度为
,以
为原点,
为
轴建立平面直角坐标系.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/a3caae4b-8289-42c1-947d-668cd04ac031.png?resizew=174)
(1)若
为锐角且
,求
、
的坐标;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/a3caae4b-8289-42c1-947d-668cd04ac031.png?resizew=174)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bb3cfc78d9bc2316c66f79c45955e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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2022-08-15更新
|
583次组卷
|
3卷引用:辽宁省沈阳市沈河区第二中学2021-2022学年高三数学暑假验收试题
解题方法
6 . “
弘扬中华优秀传统文化经验交流大会”于
年
月
日在深圳举行,会议同期举行了“深圳市中华优秀传统文化公益讲堂”启动仪式.从
年
月起到
月,深圳市文化和健康发展促进会将连续举办
场中华优秀传统文化公益讲堂,邀请多位名家名师现场开讲.某学校文学社为响应这次活动,举办了中华古诗词背诵比赛,统计的比赛成绩(单位:分)的数据如频率分布直方图所示,已知成绩在
内的有
人.
![](https://img.xkw.com/dksih/QBM/2021/12/18/2875194124509184/2924986284900352/STEM/3ce3d7a572344eccb070b6c2d01743b2.png?resizew=218)
(1)求
的值及参加比赛的总人数;
(2)分别从
、
分数段中选取
人和
人组成“优胜”队,与另一学校的“必胜”队的
人进行友谊赛,两队的选手每人均比赛
局,共比赛
局,胜
局得
分,输
局得
分,没有平局.已知“优胜”队中成绩在
内的选手获胜的概率为
,在
内的
名选手获胜的概率分别为
、
,记“优胜”队的得分为随机变量
,求
的分布列和期望.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701554763bdbbf2689a8dae07608da38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701554763bdbbf2689a8dae07608da38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c696d722e1b4b938c7a956ff83f733bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e5633a5d0cc30b254167e3dda5803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bbca919dbf6886562d6d28cd57f576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a40cf767fd2a684f2f1ed9216836792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://img.xkw.com/dksih/QBM/2021/12/18/2875194124509184/2924986284900352/STEM/3ce3d7a572344eccb070b6c2d01743b2.png?resizew=218)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)分别从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a40cf767fd2a684f2f1ed9216836792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a0dc3b0349c53d7bf36dfe97958cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a40cf767fd2a684f2f1ed9216836792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33adb74906403b0b00fcbd9fa691d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a0dc3b0349c53d7bf36dfe97958cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2008b78a906cf5ecdfd68432fa9ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
您最近一年使用:0次
7 . 如图,在圆锥SO中,母线长为2,侧面积为
,AB为底面圆的直径,C、D为底面圆周上的动点,且
,则下列命题正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/2/3/2908479306620928/2916963370745856/STEM/dc67b930-6933-488a-8e9c-d17b120f9535.png?resizew=171)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2f172ac16da76136cd2faa0fa26915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://img.xkw.com/dksih/QBM/2022/2/3/2908479306620928/2916963370745856/STEM/dc67b930-6933-488a-8e9c-d17b120f9535.png?resizew=171)
A.若平面![]() ![]() ![]() |
B.![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
名校
8 . 下列命题错误的是( )
A.“平面向量![]() ![]() ![]() |
B.函数“![]() ![]() ![]() |
C.命题“![]() ![]() ![]() ![]() |
D.关于x的不等式![]() ![]() ![]() |
您最近一年使用:0次
2022-02-17更新
|
330次组卷
|
2卷引用:辽宁省铁岭市六校2021-2022学年高三上学期12月月考数学试题
9 . 斐波那契数列指的是这样一个数列:
,
,当
时,
.学习了斐波那契数列以后,班长组织同学们体育课上做了一个报数游戏:所有同学按身高从高到低的顺序站成一排,第一位同学报出的数为1,第二位同学报出的数也为1,之后每位同学所报出的数都是前两位同学所报出的数之和.若班上一共有30位同学,且所报数为5的倍数的同学需要说出斐波那契数列的一个性质,则需要说性质的同学有几个?( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a404164c8d199f60d183a59b3647cc.png)
A.4 | B.5 | C.6 | D.7 |
您最近一年使用:0次
10 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5d3b765910169122b54c11fbaf502a.png)
A.把函数![]() ![]() ![]() |
B.把函数![]() ![]() |
C.先把函数![]() ![]() ![]() |
D.先把函数![]() ![]() |
您最近一年使用:0次