已知正三棱柱
所有棱长均为2,
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/a9f26173-a2c6-4b5a-8660-702d3ae05c08.png?resizew=134)
(1)求证:
平面
;
(2)求三棱锥
体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9debd13454918684cf8e07ce210516fc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/a9f26173-a2c6-4b5a-8660-702d3ae05c08.png?resizew=134)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa6d64d90b17044cb17ff3061420c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1369f53ea899e522cd567138d7e667bf.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef92c57971bf63ec6d77f8f654774dd.png)
更新时间:2020-05-04 23:33:50
|
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解答题-问答题
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解题方法
【推荐1】如图,圆锥SO的底面圆半径
,其侧面展开图是一个圆心角为
的扇形,求圆锥的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6634ccc2457dec1ce68b24c97fd23f47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/d69c6fa1-927a-4fb9-98bf-72875a4ee940.png?resizew=139)
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【推荐2】如图,在正三棱柱
中,
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/788305ce-a88f-40cf-835e-8494e9559ed2.png?resizew=154)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ff137a836d4f2c896dd0ca668396e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4543cc8a26ef0642e6e094b737597051.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/788305ce-a88f-40cf-835e-8494e9559ed2.png?resizew=154)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eb66e4fa5ca4231b8ce2490eeb192b.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761b4d173f79916d180f3a17ef745d2d.png)
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【推荐1】如图,在四棱锥
中,
平面
,
,
,底面
为直角梯形,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734567076388864/2734845266255872/STEM/f7b58539114d455ba7dfa218ee849686.png?resizew=232)
(1)求证:
平面
;
(2)求异面直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0f73b3c63084d9c032802e01f9a168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92e5a0356481e75c60ab567c48f1ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e46db27318b1ea225d730f56f51c464.png)
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734567076388864/2734845266255872/STEM/f7b58539114d455ba7dfa218ee849686.png?resizew=232)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ac7cf883a6e586d06e3f33875bd95b.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
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【推荐2】如图,已知四棱锥P-ABCD的底面是直角梯形,∠ABC=∠BCD=90°,AB=BC=PB=PC=2CD=2,侧面PBC⊥底面ABCD,E为PB的中点.求:
![](https://img.xkw.com/dksih/QBM/2021/1/13/2635316308877312/2636914015436800/STEM/83ff0df1-23d6-401a-92f1-be26a1b5e007.png?resizew=252)
(1)求证:
平面ADP;
(2)求证:平面PAD⊥平面PAB;
![](https://img.xkw.com/dksih/QBM/2021/1/13/2635316308877312/2636914015436800/STEM/83ff0df1-23d6-401a-92f1-be26a1b5e007.png?resizew=252)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932a04304f2d4975955d4baabb2deeea.png)
(2)求证:平面PAD⊥平面PAB;
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【推荐3】如图,在正方体
中,
、
分别为
、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/183e2390-544e-4e27-b88d-f818d47be664.png?resizew=161)
(1)求证:
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08f80a9b38074366fd7a0151ff143d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2657191a56c0a9deb864763498935706.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/183e2390-544e-4e27-b88d-f818d47be664.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a0e00113872f921116b6c0c3177d0f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae72f5e5891249caa10c43224da89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c241f900cb6ed341c137a3d71216a4.png)
您最近一年使用:0次