名校
1 . 若直线
平面
,直线
平面
,且
,
,则
,
的位置关系是______ ,若已知
与
相交,则
,
的位置关系是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edaf5492ffc6db02fd5968b643c8b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764b59b077bda19d131095b454942d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e5acb08c1dd5f53d8ad43d53acb199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e076b91a9178217532e11c496400e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2023-06-13更新
|
396次组卷
|
3卷引用:天津市第二十一中学2022-2023学年高一下学期期中数学试题
天津市第二十一中学2022-2023学年高一下学期期中数学试题(已下线)第一章 点线面位置关系 专题六 异面直线 微点1 异面直线概念、判定与证明【基础版】8.4.2.2空间中直线与平面的位置关系练习
2 . 如图,在正方体
中,异面直线
和DC所成角的大小为_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/15/a130b13f-ffdb-4e76-b0c8-7ebb92abf825.png?resizew=166)
您最近一年使用:0次
名校
3 . 在正方体
中,M、N分别是棱
、
的中点,则以下结论:
①直线AM与直线
相交;
②直线AM与直线BN平行;
③直线AM与直线
异面;
④直线BN与直线
异面.
正确的编号有______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e97fcdcfd6183b976a61ef3222c607.png)
①直线AM与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
②直线AM与直线BN平行;
③直线AM与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
④直线BN与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b99738c0ba6ad5af08c609bd57fbc015.png)
正确的编号有
您最近一年使用:0次
4 . 在空间中,直线
平面
,则“直线
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23976db53f05b3d5d791c4d736a7184d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88c9366bb209931c6b28353dbab9a52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048956cfecc4a60ffd36738945c9fadb.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
5 . 已知正方体
的棱长为a.
(1)求直线
与BC所成的角;
(2)求直线
与
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75d14708e6aa1404477db9d7e3166f0.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0226b9a9fd4d0647e4f759c07de9aaad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
您最近一年使用:0次
解题方法
6 . 如图,在直三棱柱
中,底面是边长为2的等边三角形,异面直线
与
所成角的余弦值为
,求该三棱柱的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
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解题方法
7 . 三棱锥
中,
,且异面直线AC与BD所成的角为
,E,F分别是棱DC,AB的中点,求直线EF和AC所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de966c316db1013defc56372fcf814e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/12/dc7b561f-209d-476b-beae-6633d08ec7b4.png?resizew=186)
您最近一年使用:0次
8 . 设
、
、
是互不重合的平面,m,n是互不重合的直线,给出四个命题:
①若
,
,则
②若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
③若
,
,则
④若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
其中正确命题的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b610e3c5b3d78a5730e7f3d736ac28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cee4d8d2c3ef579fe3aa2f579ad269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48880b137248ea3dc380fea6d95c8c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808c6d37467a5c995d71e49408503927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4042f9c51f83e3367d496e851735d7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59b1a01a6da42ff2a41e5b91ea301ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
其中正确命题的个数是( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
解题方法
9 . 设
是三条不同的直线,
是两个不重合的平面,给出下列命题:
①
;②
;③
; ④
;
⑤
;⑥
.其中真命题的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7adca5c1f19c6fc21664a2a928ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd490c200d8a35f754b8ffed8a3ab25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348f58338ff9a21a1a2282ea287c9670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e157ab4ff8a0d272683c6d0a6126a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58876d16f232cd4d49e5c077340eabe4.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4329b81978d4a43ef8438ded8d3fb53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d6f5a99f0ce4f5b21d0e2c539bfff9.png)
A.1 | B.2 | C.3 | D.4 |
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10 . 给出下列四个命题:①过平面外一点有且只有一个平面与已知平面垂直;②过平面外一定直线有且只有一个平面与已知平面垂直;③垂直于同一平面的两个平面可能相互平行,也可能相互垂直;④如果一个二面角的两个半平面分别垂直于另一个二面角的两个半平面,那么这两个二面角的平面角相等或互补.其中正确命题的序号是__________ .
您最近一年使用:0次