20-21高一下·浙江·期末
1 . 生物学家认为,睡眠中的恒温动物依然会消耗体内能量,主要是为了保持体温.脉搏率
是单位时间心跳的次数,医学研究发现,动物的体重
(单位:
)与脉搏率
存在着一定的关系.表1给出一些动物体重与脉搏率对应的数据,图1画出了体重
与脉搏率
的散点图,图2画出了
与
的散点图.
表1
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/2d143ef1a0204cf084fe080e36d49f58.png?resizew=345)
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/ec04a2aedd34403db301ca97b4b4aea1.png?resizew=392)
为了较好地描述体重和脉搏率的关系,现有以下两种模型供选择:
①
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52d590d6a2ded085d08e1fac00b1cc7.png)
(1)选出你认为最符合实际的函数模型,并说明理由;
(2)不妨取表1中豚鼠和兔的体重脉搏率数据代入所选函数模型,求出
关于
的函数解析式;
(3)若马的体重是兔的256倍,根据(2)的结论,预计马的脉搏率.
(参考数据:
,
.)
![](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/3960d67499df76159982657fe3a1cbca.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/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f8869ab9f40c2e8a679b8f3b10a2b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0512465cfd05fde6f6eb46909b235f4.png)
动物名 | 体重 | 脉搏率 |
鼠 | 25 | 670 |
大鼠 | 200 | 420 |
豚鼠 | 300 | 300 |
兔 | 2000 | 200 |
小狗 | 5000 | 120 |
大狗 | 30000 | 85 |
羊 | 50000 | 70 |
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/2d143ef1a0204cf084fe080e36d49f58.png?resizew=345)
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/ec04a2aedd34403db301ca97b4b4aea1.png?resizew=392)
为了较好地描述体重和脉搏率的关系,现有以下两种模型供选择:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd943821953cd4c65a1dbe5ce6ff302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52d590d6a2ded085d08e1fac00b1cc7.png)
(1)选出你认为最符合实际的函数模型,并说明理由;
(2)不妨取表1中豚鼠和兔的体重脉搏率数据代入所选函数模型,求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(3)若马的体重是兔的256倍,根据(2)的结论,预计马的脉搏率.
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5114e1dbd4fc973e99293e1fdb3def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4e59fcd160b7bdf6bc68814667faa7.png)
您最近一年使用:0次
2021-01-29更新
|
993次组卷
|
3卷引用:【新东方】双师152高一下