20-21高一下·浙江·期末
1 . 如图,圆锥
的底面直径和高均是
,过
上的一点
作平行于底面的截面,以该截面为底面挖去一个圆柱.
(1)若
是
的中点,求圆锥挖去圆柱剩下几何体的表面积和体积;
(2)当
为何值时,被挖去的圆柱的侧面积最大?并求出这个最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/30/8ada8c0a-c8be-4c26-b255-ea12a603ef3f.png?resizew=150)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270ddac9587bf1ea553914cb69595ab2.png)
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3卷引用:吉林省吉大附中实验学校2022-2023学年高一下学期期中考试数学试题