解题方法
1 . 我市物价监督部门为调研某公司新开发上市的一种产品销售价格的合理性,对该公司的产品的销售与价格进行了统计分析,得到如下数据和散点图:
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984043695022080/1985696665444352/STEM/dfd2d1450f7840728d35a38fbd33bec9.png?resizew=283)
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984043695022080/1985696665444352/STEM/74c62cb4e2564ff6ad80248cb1a15e03.png?resizew=246)
图①为
散点图,图②为
散点图.
(1)根据散点图判断
与
,
与
哪一对具有较强的线性相关性(不必证明);
(2)根据(1)的判断结果和参考数据,建立
关于
的回归方程(线性回归方程中的斜率和截距均保留两位有效数字);
(3)定价为多少时,年销售额的预报值最大?(注:年销售额
定价
年销售)
参考数据:
,
,
,
,
,
,
,
,
参考公式:
,
.
定价 | 10 | 20 | 30 | 40 | 50 | 60 |
年销售 | 1150 | 643 | 424 | 262 | 165 | 86 |
14.1 | 12.9 | 12.1 | 11.1 | 10.2 | 8.9 |
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984043695022080/1985696665444352/STEM/dfd2d1450f7840728d35a38fbd33bec9.png?resizew=283)
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984043695022080/1985696665444352/STEM/74c62cb4e2564ff6ad80248cb1a15e03.png?resizew=246)
图①为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2ac3c788485a6df6fdfcd513f4bee4.png)
(1)根据散点图判断
![](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/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)根据(1)的判断结果和参考数据,建立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)定价为多少时,年销售额的预报值最大?(注:年销售额
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54eed940d0b8e9d9e7aeb0928555d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf4fe547c4331eec61d6656c6066001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b5378455bfe4e7edce54bc29a67cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0350fbacb82bf53dcdaea2d7d928fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c7c56a0df2170299dadbb19acb5b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92517f6cef3bd70d490283df2435030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8655b5cbc7dd0d9da80e0c491a7254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82526ed65e2e79a9a8e842e1d03e9f2e.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60ab8ba460ad6d95b1363e27f335694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ebff20f21ae41fd8d1f1e3145895842.png)
您最近一年使用:0次
12-13高三上·江苏盐城·阶段练习
名校
解题方法
2 . 已知
,(其中
).
(1)求
及
;
(2)试比较
与
的大小,并用数学归纳法给出证明过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9bba0cfba1a4309ee3b78f02fb6676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efba990f1fca3fe00fb5e0a7fff0bf0.png)
(2)试比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afda36d23dfe913fd1945b85663082ec.png)
您最近一年使用:0次
2017-05-17更新
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7卷引用:【全国百强校】安徽省蚌埠市第二中学2018-2019学年高二下学期期中考试数学(理)试题
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