名校
解题方法
1 . 某公司对某产品作市场调查,获得了该产品的定价
(单位:万元/吨)和一天的销量
吨)的一组数据,根据这组数据制作了如下统计表和散点图.
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772217148334080/2772747782963200/STEM/eabb07c9-761b-469e-a02c-615dfe063e49.png?resizew=201)
表中
.
(Ⅰ)根据散点图判断,
与
哪一个更适合作为
关于
的经验回归方程;(给出判断即可,不必说明理由)
(Ⅱ)根据(Ⅰ)的判断结果,建立
关于
的经验回归方程;
(Ⅲ)若生产1吨该产品的成本为0.25万元,依据(Ⅱ)的经验回归方程,预计每吨定价多少时,该产品一天的销售利润最大?最大利润是多少?
(经验回归方程
中,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772217148334080/2772747782963200/STEM/eabb07c9-761b-469e-a02c-615dfe063e49.png?resizew=201)
0.33 | 10 | 3 | 0.164 | 100 | 68 | 350 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea905439d2e55ab4dcaa355eca72cbf1.png)
(Ⅰ)根据散点图判断,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db6103cb0f1d2bd6b19235d53ee7e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33199703c45b7cb9c3ac51b2eb1eedc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅱ)根据(Ⅰ)的判断结果,建立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅲ)若生产1吨该产品的成本为0.25万元,依据(Ⅱ)的经验回归方程,预计每吨定价多少时,该产品一天的销售利润最大?最大利润是多少?
(经验回归方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db6103cb0f1d2bd6b19235d53ee7e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dda5e0b7c97f509033b5910bf2ebe11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1563296b0804d4255b078bc223a1b7f0.png)
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2021-07-26更新
|
952次组卷
|
4卷引用:北京市通州区2020-2021学年高二下学期期末数学试题
北京市通州区2020-2021学年高二下学期期末数学试题山东省青岛市青岛大学附属中学2021-2022学年高二下学期期中数学试题辽宁省葫芦岛市2021-2022学年高二下学期期末数学试题(已下线)模块四 专题2 期末重组综合练(辽宁)(高二人教B)
2 . 已知变量
和变量
的一组随机观测数据
,
,
,
,
.如果
关于
的经验回归方程是
,那么当
时,残差等于______ .
![](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/f0d9121a33275f4f988e57b91699374f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc3c439829ddb88c41dca9372bb583a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4e9e08031c3194898d72b92316e3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c641d977ad020e86a14cac5861b1f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e21d88db84224a1454ff2691a56105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2290e5cd88fbd0d766c7628e1e5de19d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
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2卷引用:北京市通州区2020-2021学年高二下学期期末数学试题
3 . 设
为正整数,若
满足:①
,
,2,…,
;②对于
,均有
.则称
具有性质
.对于
和
,定义集合
.
(1)设
,若
具有性质
,写出一个
及相应的
;
(2)设
和
具有性质
,那么
是否可能为
,若可能,写出一组
和
,若不可能,说明理由;
(3)设
和
具有性质
,对于给定的
,求证:满足
的
有偶数个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f27f84764f1cca89ce3d93fc1cf603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556a481809009382b48169a908a8d3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8b893e7588db73046c4d24dbc003b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ed8bcecf6762164c9f8894942d5083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556a481809009382b48169a908a8d3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02dd026d7d903d6ba8a2528bfe0933f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556a481809009382b48169a908a8d3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6b04e179e843c646481aff8f08534d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fb73ddbdf2aac0ac9acb0dbbf0b790.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7c68142309b67fd2f3b99e1ceeafac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cceb5c7b2f0e5d24c4e25edbba8a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aadf364115815c8492d07c1e7d2a06b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b7081795fe640a8aafa5a98a6260b9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb930121e44d30d0a9610a11f156fdeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b7081795fe640a8aafa5a98a6260b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baea759c82a169fc8a0048632422424b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02dd026d7d903d6ba8a2528bfe0933f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44786fc57f3bfc16f39216825a22e97d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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4 .
品牌三种车型2020年7月的销量增长率如下表:
根据此表中的数据,有如下关于7月份销量增长率的四个结论:
①
品牌三款车型总销量增长率可能大于
;
②
,
两种车型总销量增长率可能大于
车型销量增长率;
③
品牌三款车型总销量增长率可能小于
;
④
,
两种车型总销量增长率可能小于
车型销量增长率.
其中正确的结论是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A品牌车型 | ![]() | ![]() | ![]() |
销量增长率 | ![]() | ![]() | ![]() |
根据此表中的数据,有如下关于7月份销量增长率的四个结论:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632c00c993f1dd33c58d9a9d3ed98a09.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06367070f53a6d5248def61d1e13ecc.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
其中正确的结论是( )
A.②③ | B.②④ | C.③④ | D.①③ |
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名校
5 . 已知
为虚数单位,复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d142f4906732aa799d32d5899e62b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
您最近一年使用:0次
2021-07-09更新
|
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3卷引用:北京市第八中学2020-2021学年高二下学期期末数学试题
6 . 已知复数
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1577fc1714b9302d5cedea8f8bd9a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a13df9e5d002fedf2f10b312a92ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe82a3f7f76832113ecf0e00803a589.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:北京市2020-2021学年高二第一次普通高中学业水平合格性考试数学试题
7 . 判断对错,并在相应横线处划“√”或“×”.①样本相关系数
时,称成对数据正相关,
时,称成对数据负相关___________ .②样本相关系数的绝对值
越接近于1,线性相关程度越弱,
越接近于0,线性相关程度越强___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c5a34264373cc8e3a5a60128309b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe9be2c6b3d8bf1e6ce9e9c0025ced7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe9be2c6b3d8bf1e6ce9e9c0025ced7.png)
您最近一年使用:0次
2021-07-04更新
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326次组卷
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2卷引用:北京市朝阳区2020-2021学年高二下学期期末考试数学试题
名校
8 . 在复平面内,复数
与
对应向量
与
,则向量
对应的复数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06184d8090ddcf240e264bb6d0e6ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9704223a796db688be00535e8e08a4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:北京市中国人民大学附属中学2021-2022学年高二上学期期中数学试题
名校
解题方法
9 . 在复平面内,复数
对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08faecdf42714de719b4982f69379be.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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5卷引用:北京市顺义区第一中学2021-2022学年高二上学期期中考试数学试题
10 . 把正奇数列按如下规律分组:(1),(3,5,7),(9,11,13,15,17),(19,21,23,25,27,29,31),…,则在第n(n∈N*)组里有________ 个数;第9组中的所有数之和为________ .
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2卷引用:北京市朝阳区2020-2021学年高二上学期期末考试数学试题