如图,在长方体
,中,|AB|=2,|AD|=1,|
A|=1.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/c9e615c3-e4e5-4f31-b450-4c6c3bf1c2e5.png?resizew=209)
(1)求三棱锥C-D
A的体积;
(2)求异面直线B
与C
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035a5a88e7e2d6ef2b47d992412a1f2f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/c9e615c3-e4e5-4f31-b450-4c6c3bf1c2e5.png?resizew=209)
(1)求三棱锥C-D
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c57dc5389fb6058aa3f2302a992839.png)
(2)求异面直线B
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c57dc5389fb6058aa3f2302a992839.png)
更新时间:2021-12-30 16:17:49
|
相似题推荐
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐1】如图,现有三棱锥
和
,其中三棱锥
的棱长均为2,三棱锥
有三个面是全等的等腰直角三角形,一个面是等边三角形,现将这两个三棱锥的一个面完全重合组成一个组合体
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/4/bb013425-88a9-4d3f-af0d-fddcae303832.png?resizew=468)
(1)求这个组合体
的体积;
(2)若点F为AC的中点,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42020cfacd62b300cad053981bab9e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42020cfacd62b300cad053981bab9e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/4/bb013425-88a9-4d3f-af0d-fddcae303832.png?resizew=468)
(1)求这个组合体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
(2)若点F为AC的中点,求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a8d99c75180422fecf6d3f3d2910b34.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐2】如图,在四棱锥
中,底面
是菱形,
平面
,平面
平面
.
![](https://img.xkw.com/dksih/QBM/2023/5/9/3234161096400896/3235970118959104/STEM/12dc02e911994399958094c52c1bc80e.png?resizew=185)
(1)证明:四边形
是正方形;
(2)若
,
为
上一点,且满足
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/2023/5/9/3234161096400896/3235970118959104/STEM/12dc02e911994399958094c52c1bc80e.png?resizew=185)
(1)证明:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91708c4508371f08556e76e31c7cb9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482fa6ee95b8e38d578d8e24fcf44d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790c0a17ee2d7181ee95da741694bd1a.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
解题方法
【推荐3】如图,在正三棱柱
中,
分别为
的中点.
平面
;
(2)求证:
;
(3)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3521d6f223a2d7f597f8613c4530dd1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eb66e4fa5ca4231b8ce2490eeb192b.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c149b82af357a50136171e6af580e22.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6839d7091acc7842ffb39b81a67cafcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761b4d173f79916d180f3a17ef745d2d.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐1】在三棱锥
中,底面ABC是边长为6的正三角形,
底面ABC,且PB与底面ABC所成的角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/ea1c8b73-6c36-4d5a-b185-37946e8cd512.png?resizew=170)
(1)求三棱锥
的体积;
(2)若M是BC的中点,求异面直线PM与AB所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/ea1c8b73-6c36-4d5a-b185-37946e8cd512.png?resizew=170)
(1)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
(2)若M是BC的中点,求异面直线PM与AB所成角的大小.
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
名校
【推荐2】如图,在正方体
中,
,点P为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/1/14/2635934033100800/2636839121035264/STEM/1302aefd-eed8-4908-b712-827cef16de73.png?resizew=245)
(1)证明:直线
平面
;
(2)求异面直线
与AP所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/2021/1/14/2635934033100800/2636839121035264/STEM/1302aefd-eed8-4908-b712-827cef16de73.png?resizew=245)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7542b49ab149f2be8ba6b48392bef1f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
您最近一年使用:0次