解题方法
1 . 如图,正四棱柱
的底面边长为1,高为2,
相交于点O.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/ec7062d7-5999-467f-a728-ddabc27d3385.png?resizew=146)
(1)证明:直线
与平面
平行;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d578394cd8e4d7a705599269c512960.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/ec7062d7-5999-467f-a728-ddabc27d3385.png?resizew=146)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172e5fbd9df8b19e0786fad909d36d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e37b08a90b97dd07174049d5b1bb5d65.png)
您最近一年使用:0次
名校
2 . 如图,在直三棱柱
中,
,
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/7a096403-e09e-4693-be92-aecc0f275368.png?resizew=222)
(1)求证:
平面
;
(2)若
,求异面直线
与
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdaa2495981cf1f87339efd7911f56f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/7a096403-e09e-4693-be92-aecc0f275368.png?resizew=222)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1be642ddd61c3ad26bcbe2dc42e3512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
您最近一年使用:0次
2022-10-14更新
|
343次组卷
|
2卷引用:上海市华东师范大学第一附属中学2023届高三上学期10月月考数学试题
名校
解题方法
3 . 如图,菱形ABCD的边长为1,
,O为平面ABCD外一点,
平面ABCD,
,M,N分别为OA与BC的中点.
![](https://img.xkw.com/dksih/QBM/2021/10/18/2832122891632640/2834005324513280/STEM/002c8f43-640c-4e36-8ad2-199791ab52c9.png?resizew=256)
(1)证明:
平面OCD;
(2)求异面直线AB与MD所成角的大小;
(3)求点B到平面OCD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6baf49925a5bcb359b542d45067c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4317430d5a2b61d9a2a88b73e7d7ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://img.xkw.com/dksih/QBM/2021/10/18/2832122891632640/2834005324513280/STEM/002c8f43-640c-4e36-8ad2-199791ab52c9.png?resizew=256)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
(2)求异面直线AB与MD所成角的大小;
(3)求点B到平面OCD的距离.
您最近一年使用:0次