截至
年
月
日,全国新型冠状病毒的感染人数突破
人
疫情严峻,请同学们利用数学模型解决生活中的实际问题.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/b7c065cd-993e-4b72-9b03-0d682dff3b32.png?resizew=230)
(1)我国某科研机构新研制了一种治疗新冠肺炎的注射性新药,并已进入二期临床试验阶段
已知这种新药在注射停止后的血药含量
(单位:
)随着时间
(单位:
).的变化用指数模型
描述,假定某药物的消除速率常数
(单位:
),刚注射这种新药后的初始血药含量
,且这种新药在病人体内的血药含量不低于
时才会对新冠肺炎起疗效,现给某新冠病人注射了这种新药,求该新药对病人有疗效的时长大约为多少小时?(精确到
,参考数据:
,
)
(2)为了抗击新冠,需要建造隔离房间.如图,每个房间是长方体,且有一面靠墙,底面积为
平方米
,侧面长为
米,且
不超过
,房高为
米.房屋正面造价
元
平方米,侧面造价
元
平方米.如果不计房屋背面、屋顶和地面费用,则侧面长为多少时,总价最低?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01dd350dc95f42f1883e0cc7aae084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73ef2561d4a0f5964a4c653534a5384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/b7c065cd-993e-4b72-9b03-0d682dff3b32.png?resizew=230)
(1)我国某科研机构新研制了一种治疗新冠肺炎的注射性新药,并已进入二期临床试验阶段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267f752a5a2e7ef3f79858f41cb1acf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd47838a087313bae9c15e075fd3c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933311c0c090e1138e4dd388b7adf8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35cdd43a6818e388a13d44057ce2e70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ec919850ca51e1471314c3bc8d10fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7246a55845d15ad6bc3c659d653d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591a207e172127efc24458c1b4f3992e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fa7a0b6f0cd2da2acac0a9c1dae244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2c4d12b3a705daab723ab243b6cc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070f72497850d3f2b5815b363cf459b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c38f960830a5a901f88acbdb38d936.png)
(2)为了抗击新冠,需要建造隔离房间.如图,每个房间是长方体,且有一面靠墙,底面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bb969f2b395c6eea0fab004d90d979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf8197e4f3fd18815045d29c357a863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba602bfa3a3ffb4fb43dc0f704a7f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7afc6e67a875ed2eb889e950a77715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
22-23高一下·湖北孝感·开学考试 查看更多[2]
更新时间:2023-02-06 15:23:10
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004f2ced335b1f39311b490c1d83595b.png)
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名校
解题方法
【推荐1】设方程
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6e529d6e9f1de68b5a58fa46406548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fef976a0230bdfe3bc758e93987ba8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eebe4341621d4532a17b1324e016b36.png)
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【推荐2】在
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,求b的值;
(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611ac9d3f040cef52e4559267fd7b632.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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【推荐1】如图,是一座“双塔钢结构自锚式悬索桥”,悬索的形状是平面几何中的悬链线,悬链线方程为
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(2)证明:
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(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d489d153159fcf945322bf0c6761a1.png)
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解题方法
【推荐2】设函数
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(1)求
的定义域;
(2)当
时,判断并证明
在
上的单调性;
(3)求
在区间
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84cf9ae25663044e97055424820be78.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9b1afcfc57a1f51ba1482ad891090b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2316563595e29fd4279845ab8afc5ba2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
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(3)求
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