名校
1 . 在三棱锥
中,
平面
,
,
,则三棱锥
外接球表面积的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d55f04e36983c3eac152f8006f3cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df01d40611ad128b314244ac8090cd95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
您最近一年使用:0次
2023-11-18更新
|
1063次组卷
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6卷引用:第13章 立体几何初步 章末题型归纳总结 (1)-【帮课堂】(苏教版2019必修第二册)
(已下线)第13章 立体几何初步 章末题型归纳总结 (1)-【帮课堂】(苏教版2019必修第二册)辽宁省大连市育明高级中学2023-2024学年高三上学期期中数学试题广东省中山市第一中学2024届高三第一次调研数学试题浙江省名校协作体2023-2024学年高二下学期开学适应性考试数学试题(已下线)第二章 立体几何中的计算 专题六 几何体的外接球、棱切球、内切球 微点10 切瓜模型综合训练【基础版】(已下线)第5题 立体几何中以外接球为背景的最值问题(压轴小题)
2 . 如图,在斜三棱柱
中,
,
为
的中点,
为
的中点,平面
平面
,异面直线
与
互相垂直.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/d8621bd9-aeae-41d5-a77a-48e7b23ea547.png?resizew=169)
(1)求证:平面
平面
;
(2)若
与平面
的距离为
,
,三棱锥
的体积为
,试写出
关于
的函数关系式;
(3)在(2)的条件下,当
与平面
的距离为多少时,三棱锥
的体积取得最大值?并求出最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05663419cc1e71688b70688376889e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/d8621bd9-aeae-41d5-a77a-48e7b23ea547.png?resizew=169)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762d6733880f540d3ead64f728879fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a5bc11a77c2d0c4631b8dae59d451c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1929bc67807d42fbb93a07387d78cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41ccd4d9072c4a306bfeebc7156794b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)在(2)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41ccd4d9072c4a306bfeebc7156794b.png)
您最近一年使用:0次
2021-09-06更新
|
2366次组卷
|
6卷引用:江苏省扬州市2021-2022学年高一下学期期末适应性测试数学试题
(已下线)江苏省扬州市2021-2022学年高一下学期期末适应性测试数学试题上海市西南位育中学2020-2021学年高二下学期期中数学试题山东省齐鲁2021-2022学年3月份高一阶段性质量检测试卷A(已下线)第11讲 柱、锥、台的体积(核心考点讲与练)-2022-2023学年高二数学考试满分全攻略(沪教版2020必修第三册)山东省德州市夏津育中万隆中英文高级中学2021-2022学年高一下学期第二次月考数学试题四川省成都市树德中学2023-2024学年高二上学期10月阶段性测试数学试题