1 . 如图,在三棱柱
中,
,
,
平面
.
平面
;
(2)若点
在棱
上,当
的面积最小时,求三棱锥
外接球的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90e17995e2f71e297d94ae51c7e5b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43732729894297552d9210f41a634769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e16f65c3a318220c2f5baac171bbb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eedadb500cb9faa9de59d0cfdf338c0.png)
您最近一年使用:0次
解题方法
2 . 已知E,F分别为
的重心和外心,D是BC的中点,
,
.
(1)求BE;
(2)如图,P为平面ABC外一点,
平面ABC,二面角
的正切值为4.
①求证:
;
②求三棱锥
的外接球的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13858be3c653034e71b88c205ac193d5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/28/499a650f-b18f-44cd-85ad-7ed2d0026b9e.png?resizew=180)
(1)求BE;
(2)如图,P为平面ABC外一点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db807b09cc550f476b3f8fa0c6a14425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90197a948331e61db644266368017e3.png)
②求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
您最近一年使用:0次
名校
3 . 已知在圆锥SO中,底面
的直径
,
的面积为48.
(1)求圆锥SO的表面积;
(2)一球刚好放进该圆锥体中,求这个球的半径以及此时圆锥体剩余空间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f9846b53d10f5e5ebcabf35ec8259d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e49817548cb45b3d1e58570644c6fc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/8/50c78bad-fc4c-45b9-be15-747138381532.png?resizew=126)
(1)求圆锥SO的表面积;
(2)一球刚好放进该圆锥体中,求这个球的半径以及此时圆锥体剩余空间.
您最近一年使用:0次
2023-06-07更新
|
828次组卷
|
4卷引用:江西省丰城拖船中学2022-2023学年高一下学期6月期末数学试题
江西省丰城拖船中学2022-2023学年高一下学期6月期末数学试题山东省临沂市沂水县2022-2023学年高一下学期期中数学试题(已下线)第6讲 立体几何小题(1)-《考点·题型·密卷》(已下线)模块三 专题5 大题分类练(空间几何体表面积和体积)(人教A版)
名校
4 . 如图,长方体
由,
,
,
,过
作长方体的截面
使它成为正方形.
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646725849513984/2652143009579008/STEM/b33ea00e-f020-494e-852b-1d00c4d06657.png)
(1)求三棱柱
的外接球的表面积;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4291c69a3eb90f6fe67d574a6c3daf58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284750727aa2c32b2477d126daefb329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39e577ab78d9a105f7013d41459504d.png)
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646725849513984/2652143009579008/STEM/b33ea00e-f020-494e-852b-1d00c4d06657.png)
(1)求三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5f5dee97e4396227fe86d69c0e6603.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44f7e59d2b03b54b5465e6acafab249.png)
您最近一年使用:0次
2021-02-06更新
|
1888次组卷
|
6卷引用:江西省景德镇市2020-2021学年高一上学期期末数学试题
江西省景德镇市2020-2021学年高一上学期期末数学试题江西省宜春市万载中学2021-2022学年高一下学期第一次月考数学(文)试题(已下线)专题8.2 简单几何体的表面积与体积(B卷提升篇)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材人教A版,浙江专用)广东省肇庆市高要区第二中学2020-2021学年高一下学期段考(一)数学试题重庆市垫江县第五中学2020-2021学年高一下学期4月月考数学试题(已下线)专题29 立体几何(解答题)-2021年高考数学(文)二轮复习热点题型精选精练
5 . 如图,矩形
的长是宽的2倍,将
沿对角线
翻折,使得平面
平面
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/045dc36f-6b9c-4785-9a69-db18b5ce2224.png?resizew=303)
(Ⅰ)若
,计算翻折后得到的三棱锥
的体积;
(Ⅱ)若
、
、
、
四点都在表面积为
的球面上,求三棱锥
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644f63756fe9251e65cc14e1ce9723d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8ff58f671a287701011a1b31e67e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/045dc36f-6b9c-4785-9a69-db18b5ce2224.png?resizew=303)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b9c6b911b05fe2c41a7ba3465c30e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
您最近一年使用:0次
2019-06-11更新
|
554次组卷
|
2卷引用:江西省宜春市昌黎实验学校2019-2020学年高一上学期12月月考数学试题