名校
解题方法
1 . 如图,正四棱锥
中,
,
,
为
中点.
![](https://img.xkw.com/dksih/QBM/2020/5/14/2462783894593536/2464037767520256/STEM/0a4ec7826a7246508ddbcbdb2416fae5.png?resizew=177)
(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/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a0b15556a1584c1b6b2768bbc9cbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://img.xkw.com/dksih/QBM/2020/5/14/2462783894593536/2464037767520256/STEM/0a4ec7826a7246508ddbcbdb2416fae5.png?resizew=177)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9428c4a6a25d360a036aaf0a92e40988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2020-05-16更新
|
3077次组卷
|
8卷引用:江西省南昌市第十中学2020-2021学年高二上学期第二次月考数学(文)试题
2 . 如图,已知
中,
,
,且
,
,
绕
旋转至
,使点
与点
之间的距离
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/5c716825-3667-4e89-957d-7d6011964a7f.png?resizew=181)
(1)求证:
平面
;
(2)求异面直线
与
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f8f01137e92c0f2e63467036ae9cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c793251b1030d7f324ab1b707416eb6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7ffb7889a31b267a85f1ea238138e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25addf3f5fecedfb1c2c47ba388988df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/5c716825-3667-4e89-957d-7d6011964a7f.png?resizew=181)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61951f0d5841af36bf239302c88ce6db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c793251b1030d7f324ab1b707416eb6c.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1b2210b77b2cf71d12fac1cbb6394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
3 . 已知斜三棱柱
的所有棱长都相等,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/0c63a9ad-7a4e-4d85-8464-2ce593d2855d.png?resizew=197)
(1)求证:
;
(2)直线
与直线
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede6a60cad0e0b58e1549fda6e085719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab1e0cf85e1d72b5a950bd07dc1e3d5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/0c63a9ad-7a4e-4d85-8464-2ce593d2855d.png?resizew=197)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8bf13a983d4f4d790dc489e7154f9d.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc6e94d7b0ad5b787681b709f1e9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780901c1977b08c38c6ca1e36fe667c2.png)
您最近一年使用:0次
4 . 如图,在正三棱柱ABC-A1B1C1,底面△ABC的边长AB=1,侧棱长为
,P是A1B1的中点,E、F、G分别是AC,BC,PC的中点.
![](https://img.xkw.com/dksih/QBM/2019/1/13/2118008030846976/2118564053876736/STEM/221139ce-b766-47b9-b740-b0ee85414aef.png)
(1)求FG与BB1所成角的大小;
(2)求证:平面EFG∥平面ABB1A1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9c6fe12d3a9727e00ef87a630302ab.png)
![](https://img.xkw.com/dksih/QBM/2019/1/13/2118008030846976/2118564053876736/STEM/221139ce-b766-47b9-b740-b0ee85414aef.png)
(1)求FG与BB1所成角的大小;
(2)求证:平面EFG∥平面ABB1A1.
您最近一年使用:0次
2019-01-14更新
|
715次组卷
|
3卷引用:【市级联考】江西省上饶市2017-2018学年高一上学期期末考试数学试题