名校
解题方法
1 . 某生物科学研究院为了研究新科研项目需建筑如图所示的
生态穹顶
,建筑(不计厚度,长度单位:m),其中上方为半球形,下方为圆柱形,按照设计要求
生态穹顶
建筑的容积为
,且
(其中l为圆柱的高,r为半球的半径),假设该
生态穹顶
建筑的建造费用仅与其表面积有关,已知圆柱形部分每平方米的建造费用为3万元,半球形部分每平方米的建造费用为
万元,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
______ 时该
生态穹顶
建筑的总建造费用最少.(公式:
,
)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0bfab2f1b4e1f1625962f7fd24517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f158cee29b61586de274c09b0297c6.png)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9023fec3f1ab5834c7a729fcb4249d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://img.xkw.com/dksih/QBM/2023/12/6/3383322496401408/3383521920163840/STEM/2642fd88c818458d936e727aa2791989.png?resizew=10)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6ecce799218b12332aafb38f8c6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf45ffa5c2bbc089e63c5a02e96cdbe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/f3609d8a-cc3d-4d73-a695-1126436324bd.png?resizew=130)
您最近一年使用:0次