名校
1 . 某校数学建模兴趣小组收集了一组恒温动物体重
(单位:克)与脉搏率
(单位:心跳次数/分钟)的对应数据
,根据生物学常识和散点图得出
与
近似满足
(
为参数).令
,
,计算得
,
,
.由最小二乘法得经验回归方程为
,则
的值为___________ ;为判断拟合效果,通过经验回归方程求得预测值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a5b0da721c7e11982135312addaea3.png)
,若残差平方和
,则决定系数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df3adf12e6180d1b8813c7071b074da.png)
___________ .(参考公式:决定系数
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956ca5a4decb33f8c95b14e49a49d8de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca9cd18d0d8f5b0bbdc4b2fe6ce33de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b341d1d30b8f27fd936a8c8069afde4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4c5bd9940ef22fe94e1cc99b6b6e4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e84b5e98c1af0032c30d88affcfe26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d5b2592ea9f8b53c22aaf1113b9833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a82e0f37f531973b05bc12aac2d468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7814566a881acd747e9401492a9acc63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c3bf82cb039048c3213604647035f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a5b0da721c7e11982135312addaea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8717d4ea5e8525bdf85c6d9a7816ce5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3686c8d7663ce138398e809f602130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df3adf12e6180d1b8813c7071b074da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3572c285a6a276bc3649a0048852d22c.png)
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2024-03-21更新
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3350次组卷
|
8卷引用:8.2 一元线性回归模型及其应用(6大题型)精练-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)
(已下线)8.2 一元线性回归模型及其应用(6大题型)精练-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)广东省广州市2024届普通高中毕业班综合测试(一)数学试卷(已下线)第9章 统计 章末题型归纳总结-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)(已下线)北师大版高二模块三专题1第2套小题进阶提升练湖南省长沙市第一中学2024届高三下学期高考适应性演练(二)数学试卷湖北省荆州市部分重点高中2024届高考适应性考试数学试题湖南省永州市第一中学2023-2024学年高二下学期6月月考数学试题福建省泉州市安溪铭选中学2023-2024学年高二下学期6月份质量检测数学试题
2024高一下·全国·专题练习
解题方法
2 . 在边长为1的正方形
中,设
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3b485e59c416759fcc8f2b2f7361cc.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79b4f6eb82adcca573c5fb2be950898.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39282450bc4833027a7bdfa81c39f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df107a0db8e7084e46cbf0edc9dd4878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3b485e59c416759fcc8f2b2f7361cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79b4f6eb82adcca573c5fb2be950898.png)
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3 . 学习于才干信仰,犹如运动于健康体魄,持之已久、行之愈远愈受益.为实现中华民族伟大复兴,全国各行各业掀起了“学习强国”的高潮.某老师很喜欢“学习强国”中“挑战答题”模块,他记录了自己连续七天每天一次最多答对的题数如下表:
参考数据:
,
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41b6d98a983e9a4cf831d669e149935.png)
相关系数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084e78dabc30e451c12dcca2520f3270.png)
由表中数据可知该老师每天一次最多答对题数y与天数x之间是______ 相关(填“正”或“负”),其相关系数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eee5ebaaba44aeff46980da804b7539.png)
______ (结果保留两位小数)
天数x | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
一次最多答对题数y | 12 | 15 | 16 | 18 | 21 | 24 | 27 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967a00752ac887b78032b1ce73eca591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7c87659b8dd53524a86fa348960b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd718d005b26af98758e4492e40a4465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d33a4ead18c6f2d688eb759a8c6b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba078df5ee0cc1831134de7f2a9d226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41b6d98a983e9a4cf831d669e149935.png)
相关系数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084e78dabc30e451c12dcca2520f3270.png)
由表中数据可知该老师每天一次最多答对题数y与天数x之间是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eee5ebaaba44aeff46980da804b7539.png)
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2024-01-22更新
|
842次组卷
|
7卷引用:8.1 成对数据的统计相关性——课后作业(提升版)
(已下线)8.1 成对数据的统计相关性——课后作业(提升版)天津市八校联考2023-2024学年高三上学期期末质量调查数学试卷(已下线)第八章 成对数据的统计分析(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第三册)(已下线)模块八 概率与统计(测试)(已下线)第01讲 8.1 成对数据的统计相关性(知识清单+5类热点题型精讲+强化分层精练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第三册)(已下线)8.1.1变量的相关关系+8.1.2样本相关系数 第一课 解透课本内容(已下线)8.1 成对数据的统计相关性(4大题型)精讲-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)
名校
4 . 已知数列
的前
项和
满足
,且
成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16fe3ffe7d9e8246282ddb00fc5f4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cedd84e3f080e5931a490644149f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
2024-01-20更新
|
611次组卷
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3卷引用:1.3.1等比数列的概念(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)
(已下线)1.3.1等比数列的概念(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)北京市昌平区2024届高三上学期期末质量抽测数学试题北京市北京理工大学附属中学2023~2024学年高三下学期(寒假回归)开学考试数学试题
解题方法
5 . 已知
,
为一组不共线的向量,且向量
,
,能使得
的一组实数
的值可以为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_____ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3988b6ee27f208f8c426dcac3c4e795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6068af75c62202637d47162f88117259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af920bfee3c455c4aa7e53a3aec5c6fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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6 . 如图,在
中,
,过点
的直线分别交直线
于不同的两点
,记
,用
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56f0466c67eb5811da543f2959b403f.png)
______ ;设
,若
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd1102eb2ccdb8d722c43333944af08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56f0466c67eb5811da543f2959b403f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36aa9e08e415270c69b956cca8b0a431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d812643e080d4d447fab7fe2ae2646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88ea271b3352d75008832f129d39dc0.png)
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2024-01-16更新
|
1786次组卷
|
9卷引用:6.3.1 平面向量基本定理——课后作业(基础版)
(已下线)6.3.1 平面向量基本定理——课后作业(基础版)天津市和平区2024届高三上学期期末质量调查数学试题(已下线)经典好题1 积常和小 和常积大【练】(已下线)专题9.4 平面向量基本定理-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)热点4-1 平面向量的概念、线性运算与基本定理(6题型+满分技巧+限时检测)(已下线)6.3.1平面向量基本定理-高频考点通关与解题策略(人教A版2019必修第二册)天津市嘉诚中学2023-2024学年高一下学期第一次月考数学试卷(已下线)期末模拟卷(范围:人教A版2019必修第二册)-期末真题分类汇编(天津专用)(已下线)2024年天津高考数学真题变式题11-15
名校
解题方法
7 . 已知一组数据
的平均数是2,方差是
,那么另一组数据
的平均数,方差分别为__________ ,____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195f9cb9c1ca84756dd98afdc784ead9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5ca3cab5f2436abedcf182362bdce6.png)
您最近一年使用:0次
8 . 已知等差数列
满足
,
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ;若数列
的前n项和为
,则使
的最大正整数n为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3af4204cbd59c0bc15f5d83b240a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10c12b130a84039712887dd9064d12b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6603814ac39b169453607671158d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9261093be00af4fd03415b2b169260a0.png)
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9 . 已知方程
表示一个圆,则
的取值范围为__________ ,该圆的半径的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f525603daefe53d744e5447ea47052c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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