名校
解题方法
1 . 某人在
次射击中击中目标的次数为
,
,其中
,
,击中奇数次为事件
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870528aa6be6f56bae0eb6b10a765c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c11f6c800b8e0410674a0c6d307d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.若![]() ![]() ![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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20卷引用:高二下期末考前押题卷02--高二期末考点大串讲(人教B版2019选择性必修)
(已下线)高二下期末考前押题卷02--高二期末考点大串讲(人教B版2019选择性必修)山东省泰安肥城市2023届高考适应性训练数学试题(三)山东省新高考质量检测联盟2024届高三第一次质量检测数学试题(A)(已下线)模块一 专题2 概率(北师大2019版)(已下线)模块一 专题4 随机变量及其分布 (人教A)(已下线)模块一 专题3 概率 (苏教版)(已下线)第四篇 概率与统计 专题7 常见分布 微点3 常见分布综合训练(已下线)单元提升卷11 统计与概率湖北省武昌实验中学2023-2024学年高三上学期10月月考数学试题(已下线)考点13 二项分布与超级几何分布 2024届高考数学考点总动员【练】(已下线)第11讲 二项分布与超几何分布-【寒假预科讲义】2024年高二数学寒假精品课(人教A版2019)(已下线)随机变量及其分布(已下线)专题04 超几何分布+二项分布+正态分布压轴题(4)(已下线)7.4.1 二项分布(分层练习,6大题型)-2023-2024学年高二数学同步精品课堂(人教A版2019选择性必修第三册)(已下线)黄金卷02(已下线)专题7.10 随机变量及其分布全章综合测试卷(提高篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第三册)(已下线)专题10.1 概率与统计的综合运用【十一大题型】(举一反三)(新高考专用)-1辽宁省大连市第八中学2023-2024学年高二下学期4月月考数学试题(已下线)第七章:随机变量及其分布章末重点题型复习-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第三册)黑龙江省牡丹江市第一高级中学2023-2024学年高二下学期5月期中考试数学试题
名校
2 . 已知平面四边形
,
,
,
,现将
沿
边折起,使得平面
平面
,此时
,点
为线段
的中点.
平面
;
(2)若
为
的中点
①求
与平面
所成角的正弦值;
②求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcfac9ab1dc776c9ec076ab2a132fcd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c505c02c59313fe0108392a5bf5127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b4e753ef119608188c46a50ec597e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb5255e2159617505e0c87d01437a57.png)
②求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04e376d75882fa61c533dbf33ea6f17.png)
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13卷引用:广东省广州市华南师范大学附属中学2021-2022学年高一下学期期末数学试题
广东省广州市华南师范大学附属中学2021-2022学年高一下学期期末数学试题湖南省长沙市实验中学2022-2023学年高一下学期期末数学试题专题05 空间直线、平面的垂直-《期末真题分类汇编》(新高考专用)浙江省湖州中学2021-2022学年高一下学期第二次质量检测数学试题(已下线)第02讲 玩转立体几何中的角度、体积、距离问题-【暑假自学课】2022年新高二数学暑假精品课(苏教版2019选择性必修第一册)(已下线)高一升高二开学分班选拔考试卷(测试范围:苏教版2019必修第二册)(已下线)高一下学期数学期末考试高分押题密卷(三)-《考点·题型·密卷》广东省揭阳市普宁市华侨中学2022-2023学年高一下学期5月月考数学试题江西省赣州市第四中学2023-2024学年高二上学期开学考试数学试题江西省丰城中学2023-2024学年高一(创新班)上学期第一次段考(10月)数学试题(已下线)第二章 立体几何中的计算 专题一 空间角 微点8 二面角大小的计算(三)【培优版】江苏省南京市中华中学2023-2024学年高一下学期5月月考数学试卷(已下线)高一数学下学期期末押题试卷01-期末真题分类汇编(新高考专用)
解题方法
3 . 已知实数
满足
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde3da412c997c926ae842ddc107cf35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095354f5d4e5dc28402af7b089ebb2f9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 设
,若非空集合
同时满足以下4个条件,则称
是“
无和划分”:
①
;
②
;
③
,且
中的最小元素大于
中的最小元素;
④
,必有
.
(1)若
,判断
是否是“
无和划分”,并说明理由.
(2)已知
是“
无和划分”(
).
①证明:对于任意
,都有
;
②若存在
,使得
,记
,证明:
中的所有奇数都属于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8559db5cec89fb0ed29e8be8fdb0b1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03710ecc47ca36cb01c337a71d300974.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6e72a98cbc82cb24cb85aa3ab837f5.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a2410ce34b36954ed4923e600d42f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e006283149b3d1662205b5271dd69db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f045d0c3275b992d4a4f90dcd20e63.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408f3365f7c6767cd3f006022ee22413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da92a00c5e0121accc325e50f6492fe.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8559db5cec89fb0ed29e8be8fdb0b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
①证明:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb6b675fa03f7268b8cbd1f1d91bd27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4003dc977c4cacda932927eed9c9d10.png)
②若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8457b5be40500d437a83bb12e488b5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bd7ed301e00171b88549a8deb65035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5203c10c41f8b8aaa4c9cc90f1f3271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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|
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2卷引用:北京市丰台区2023-2024学年高一上学期期末练习数学试卷
5 . 已知二次函数
与
轴交于
,
两点,点
,圆
过
,
,
三点,存在一条定直线
被圆
截得的弦长为定值,则该定值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002cbe68dc72d309543af98a2549f12b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/26ccf887939fbcaf62370546e2359ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:吉林省珲春市第一高级中学、图们市第二高级中学2023-2024学年高二上学期期末考试数学试题
吉林省珲春市第一高级中学、图们市第二高级中学2023-2024学年高二上学期期末考试数学试题(已下线)专题1 直线与圆的位置关系【练】(压轴小题大全)重庆市乌江新高考协作体2023-2024学年高二下学期第二阶段性学业质量联合调研抽测(5月)数学试题
名校
解题方法
6 . 在
中,点
,
分别在边
和边
上,且
,
,
交
于点
,设
,
.用
,
表示
为__________ ;若
为
上一动点且
,则
的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188c4084d1cfff4f1328e24b7621f98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fbc3a1f1e848cf1349b9327be8607d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20cbdfe479954ba2bc33142bc931c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066bca5c293e81c8579c85cb365c4a34.png)
![](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/471ac0f42d01c6d6e094b63628586e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2b40f03244a180953e5c99c929a723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81cef66ee751c4400eda062b694958f.png)
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7 . 已知函数
,若
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558595e25f5ad4a2581cd9e1bcb67abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ef508a4d22bfe22f6af7d1463c9e7f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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5卷引用:【人教A版(2019)】高二下学期期末模拟测试B卷
(已下线)【人教A版(2019)】高二下学期期末模拟测试B卷山西省2024届高三下学期适应性考试二数学试题海南省部分学校2024届高三下学期高考考前押题(二)数学试题江西省宜春市丰城中学2023-2024学年高一下学期第三次段考(5月月考)数学试题(已下线)函数-综合测试卷A卷
名校
解题方法
8 . 如图,在棱长为
的正方体
上,点
为体对角线
靠近
点的三等分点,点
为棱
的中点,点
在平面
上,且在该平面与正方体表面的交线所组成的封闭图形中(含边界),则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](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/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/273990a791754a9bc943874d6ed2ebbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4cba9d2412e4a28f8740bddd5738d4.png)
A.平面![]() ![]() ![]() |
B.点![]() ![]() ![]() |
C.点![]() ![]() ![]() |
D.设平面![]() ![]() ![]() ![]() ![]() ![]() |
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解题方法
9 . 已知圆
,圆
动圆
与圆
外切并且与圆
内切,圆心
的轨迹为曲线
.
(1)求曲线
的方程;
(2)设不经过点
的直线
与曲线
相交于
两点,直线
与直线
的斜率均存在且斜率之和为
,直线
是否过定点,若过定点,写出定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0413a061c19f341d42b3f7e8ff49d212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327ccfdbf69094cd25c9ef2d16e8b7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设不经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01730e8fa9312236aa114a662026b215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf702adb116c1e46569eb7050d029f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
10 . 设点
分别为双曲线
的左、右焦点,点
分别在双曲线
的左、右支上,若
,
,且
,则双曲线的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c8091d78595c42d437ff5766431a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72251ab1b7a1f8d1814273f61101a16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb875149a301fcdca6ed36dc4dd7750a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73138d039b70f56bd53e85cdf369252.png)
您最近一年使用:0次