名校
解题方法
1 . 如图,在正三棱柱
中,
为
的重心,
是棱
上的一点,且
平面
.
;
(2)若
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6748d9b9948485c5ba87ca8751c6e053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b94e97d085cea077cb82a0b7d2f523e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bcf1a7748a27554d4cc148c5717d67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd06fc4c3ab67af23ec5d794f4bcf451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239198e40085b7dcffbe747c9c265a05.png)
您最近一年使用:0次
2024-06-08更新
|
578次组卷
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4卷引用:河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)
2 . 动点
与定点
的距离和它到定直线
的距离的比是2,记动点
的轨迹为曲线
.
(1)求
的方程;
(2)过
的直线
与
交于
两点,且
,若点
满足
,证明:点
在一条定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40460e97733a56b0b9963f8c641c47c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc07a297731dfc432de5eaad9361fcd9.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/d5648da2c6db0309ae8c6826a0f3d414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d2d9f1a9b44d59101fc96bd1c7631c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2024-05-26更新
|
558次组卷
|
4卷引用:河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)
河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷(已下线)情境11 结论已知的证明命题(已下线)易错点8 圆锥曲线问题中未讨论直线斜率的特殊情况
3 . 已知函数
.
(1)讨论
的单调性;
(2)当
时,
,数列
满足
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc91798f52a3c8cc03cffd609397570.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86723236cb3b3f72ebded27dbf2d3eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272b44a71d0bec02b3c4f3f05304f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35acda33d5be11651364d468bf76e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ad2d54a904031da674ac0121e25d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcf906eed73cbd0ae0baefbae8addad.png)
您最近一年使用:0次
2024-05-22更新
|
358次组卷
|
2卷引用:河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)
4 . 已知数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)若数列
,求数列
的前
项和
.
![](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/6bf34a71de719f2b5d0ad877a0aa3b92.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35340e4e54e312c6705f3627ddbabc52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2024-05-16更新
|
891次组卷
|
3卷引用:河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)
解题方法
5 . 在一个不透明的密闭纸箱中装有10个大小、形状完全相同的小球,其中8个白球,2个黑球.小张每次从纸箱中随机摸出一个小球观察其颜色,连续摸4次,记随机变量
为小张摸出白球的个数.
(1)若小张每次从纸箱中随机摸出一个小球后放回纸箱,求
和
;
(2)若小张每次从纸箱中随机摸出一个小球后不放回纸箱,求
的分布列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(1)若小张每次从纸箱中随机摸出一个小球后放回纸箱,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf3baba074e8aeb6f3ea117865bbd1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a0722562d03a0a55a6c63e5d4cc338.png)
(2)若小张每次从纸箱中随机摸出一个小球后不放回纸箱,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
您最近一年使用:0次
2024-05-12更新
|
1080次组卷
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4卷引用:河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)
河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷 (2)河南省TOP二十名校2024届高三下学期5月联考猜题(一)数学试卷(已下线)易错点9 概率类型定不准致误(已下线)专题05 离散型随机变量的分布列常考点(8类题型)-备战2023-2024学年高二数学下学期期末真题分类汇编(江苏专用)
6 . 记数列
的前
项和为
,已知
,且
.
(1)令
,求数列
的通项公式;
(2)若对于任意的
恒成立,求实数
的取值范围.
![](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/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e90a1919c17006ade18c7b87ecc99a.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314501f06c7e4bf3112fe41ecac7be68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28a5c9346abf949d3f877b03e4327ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
7 . “村BA”是由贵州省台盘村“六月六”吃新节篮球赛发展而来的赛事,比赛由村民组织,参赛者以村民为主,极具乡村气息.某学校为了研究不同性别的学生对该赛事的了解情况,进行了一次抽样调查,分别随机抽取男生和女生各80名作为样本,设事件
“了解村BA”,
“学生为女生”,据统计
.
(1)根据已知条件,作出
列联表,并判断是否有
的把握认为该校学生对“村
”的了解情况与性别有关;
(2)现从该校不了解“村BA”的学生中,采用分层随机抽样的方法抽取10名学生,再从这10名学生中随机抽取4人,设抽取的4人中男生的人数为
,求
的分布列和数学期望.
附:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9163ebe812708ee5337d62298c2e3363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f7ab83c2c0bbcaabc2a177855d55d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e184f07ba851dc47dc7d178f3ba0a8.png)
(1)根据已知条件,作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3e36a8ddec055b2164ae365daf1326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42836a867a1bacf2a7374d597bbb5673.png)
(2)现从该校不了解“村BA”的学生中,采用分层随机抽样的方法抽取10名学生,再从这10名学生中随机抽取4人,设抽取的4人中男生的人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedb26578090f09dd6b9f18d9a47a235.png)
![]() | 0.050 | 0.010 | 0.005 | 0.001 |
![]() | 3.841 | 6.635 | 7.879 | 10.828 |
您最近一年使用:0次
名校
解题方法
8 . 已知数列
的前
项和为
,且
为等差数列.
(1)证明:
为等差数列;
(2)若
,数列
满足
,且
,求数列
的前
项和
.
![](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/d3768db0f2e2881b810d44ddc39ff295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dfe5b322577f02fd19caab8cf20170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a8d7ec3afb812286ad33dd69d80c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c24437f62e6fab6d8baf7060f5c8ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
9 . (1)若函数
有三个零点1,2,4,求
;
(2)若曲线
在点
处的切线方程为
,求实数
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd8f4ae110f816cc9b6c9f191486b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70119d0ab200fba163ab05f7e13e870a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a020607e7478fc091525240b0580b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
名校
解题方法
10 . 某运动服饰公司对产品研发的年投资额
(单位:十万元)与年销售量
(单位:万件)的数据进行统计,整理后得到如下统计表:
(1)求
和
的样本相关系数
(精确到0.01),并推断
和
的线性相关程度;(若
,则线性相关程度很强;若
,则线性相关程度一般;若
,则线性相关程度很弱)
(2)求年销售量
关于年投资额
的回归直线方程,并据此预测年投资额为60万元时的年销售量.
参考数据:
.
参考公式:相关系数
;
回归直线方程
中,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
1 | 2 | 3 | 4 | 5 | |
35 | 40 | 50 | 55 | 70 |
![](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/11bc05f41215f9894e11d1df0465751a.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/2991502b0be7df4183b9e42b6c53c6e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30c484a4e3b8297f7d32c7e44919b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14ee7b7c17a51b073f37f1eee76c8ec.png)
(2)求年销售量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671553ced6fa415f16a32c9b37f79203.png)
参考公式:相关系数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368976f08508d324aa73ec6a9ceca54f.png)
回归直线方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db6103cb0f1d2bd6b19235d53ee7e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c998b724d6dc03f25a16f0f7f5ed9eb8.png)
您最近一年使用:0次
2024-04-19更新
|
921次组卷
|
6卷引用:河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题变式题16-19
(已下线)河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题变式题16-19河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题(已下线)专题04 第八章 成对数据的统计分析--高二期末考点大串讲(人教A版2019)(已下线)模块三 专题1 大题分类练(线性回归)(北师大高二)(已下线)模块一 专题1 《线性回归与相关性和独立性检验》(北师大版高二期中)B拔高卷广东省梅州市兴宁市第一中学2023-2024学年高二下学期6月月考数学试题