名校
解题方法
1 . 已知正四棱锥
的顶点均在表面积为
的球
上,当该四棱锥体积取得最大值时,高
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b3a91ccf6028608cd03df7072f6536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 王昌龄是盛唐著名的边塞诗人,被誉为“七绝圣手”.其名篇“但使龙城飞将在,不教胡马度阴山”(人在阵地在,人不在阵地在不在不知道),由此推断,胡马度过阴山是龙城飞将不在的( )
A.既不充分也不必要条件 | B.必要不充分条件 |
C.充要条件 | D.充分不必要条件 |
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3 . 已知一组样本数据
,
,
,
,其中
,若由
生成一组新的数据
,
,
,
,则这组新数据与原数据可能相等的量有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35fe7e11d87d56363a62a25bcf9ea590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f92051236b406fbc01c0ae3ed923e35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c01ce419e988f1300ddf5db81c3a198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79b9eaa5e7ab7a1e5c512b571914dc8.png)
A.极差 | B.平均数 | C.中位数 | D.标准差 |
您最近一年使用:0次
2024-02-12更新
|
625次组卷
|
6卷引用:江苏省南京市金陵中学2024届高三上学期期末模拟数学试题
江苏省南京市金陵中学2024届高三上学期期末模拟数学试题江苏省常州市2023-2024学年高三上学期期末学业水平监测数学试卷(已下线)第5套 全真模拟篇5复盘卷(已下线)第五套 复盘卷(2月开学考试)重庆市缙云教育联盟2024届高三下学期3月月度质量检测数学试题(已下线)9.2.4总体离散程度的估计(分层练习)-【上好课】(人教A版2019必修第二册)
名校
解题方法
4 . 设
是数列
的前
项和,已知数列
的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06d93cbfd1c4b8785f8bd4799eb44c5.png)
(1)是否存在正整数
,使得
成立?若存在,求出
;若不存在,请说明理由;
(2)设
,若存在正整数
,使得
立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06d93cbfd1c4b8785f8bd4799eb44c5.png)
(1)是否存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8216931e4aeb4eb03f5f447ee0ab99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ce376f72f102bd6f3c969c839049f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
解题方法
5 . 设
是数列
的前
项和. 已知
,当
时,满足
.
(1)若
,求数列
的通项公式;
(2)是否存在
,使得数列
为等差数列?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052c24924fc42f50b40c88bb29e79bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da7aeb5699bcc7c0c727bfb93d89e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6724c68c4206bd95683998d800f7f676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3188fff81f95bfbce400fccdeac728b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4338dd5d6ac02dbb9d5069eb98f436d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
6 . 如图所示,由圆锥曲线的光学性质知道:从椭圆的一个焦点出发的光线,经椭圆反射(即经椭圆在该点处的切线反射)后,反射光线经过椭圆的另一个焦点.已知椭圆C的方程为
,其左、右焦点分别是
,
,直线l与椭圆C相切于点
,过点P且与直线
垂直的直线
与椭圆长轴交于点M,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0785ff39224efed316f29719b8af38.png)
_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.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/f82a5ea118e2dfe11b7fb6e4506bb603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0785ff39224efed316f29719b8af38.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/5fd39601-dea9-4419-bc5e-194dc56a771c.png?resizew=159)
您最近一年使用:0次
解题方法
7 . 已知椭圆C:
(
)左,右焦点分别为
,
,离心率
,点
在椭圆C上.
(1)求椭圆C的方程.
(2)若A,B为椭圆C上的两个动点,过
且垂直x轴的直线平分
,证明:直线
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.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/075ba8c6fb5ef7288cd3fed425c8e69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f0bebb4cada94325018a8ed9109598.png)
(1)求椭圆C的方程.
(2)若A,B为椭圆C上的两个动点,过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdd3eb5166d30689e3caccb1091a72b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
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8 . 在平面直角坐标系xOy中,已知直线
与抛物线
交于A、B两点(异于O点),若
,则实数m的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25722ef52dd467e1e2334f0ebf28c2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
A.1 | B.2 | C.4 | D.8 |
您最近一年使用:0次
名校
解题方法
9 . 在平面直角坐标系
中,已知圆
,圆
.若圆心在
轴上的圆
同时平分圆
和圆
的圆周,则圆
的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4caf4f6f15f23693609d28410d62d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4482afca864fdfcf5b2c12fb36d7257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
10 . 在平面直角坐标系
中,若直线
与直线
互相垂直,则实数
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34420a997875bda783deeca0b03eec86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e58af7f2f36dd935c1e0f253be947a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.-1 | B.![]() | C.![]() | D.3 |
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