名校
解题方法
1 . 若
,
是两条不同的直线,
,
,
是三个不同的平面,给出下列命题:
①
,
,
,则
;②
,
,
,则
;
③
,
,
,则
;④若
,
,
过
内的一点且与
垂直,则
;⑤若
,
,
,则
.
其中错误 命题的序号为______ (将所有错误 的序号都填上).
![](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/9f435efcc7869eec21bdba1ed81dc3f5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0477d21c9b3704ca34e2a607429ea602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18e3499b1f9307e7914d3fd1e541d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08666162eebf18ddcc96288bc3854f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a4352562ae8aa968014fd0d931b677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675f1e09eb033dab8ef96d1f1c349150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f3aca2f1993d5e94255454c5f82a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057cdb4057bca398a838e868efd360f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18e3499b1f9307e7914d3fd1e541d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569d7362d1ccac7046fe89dc7c3ac0e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675f1e09eb033dab8ef96d1f1c349150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08666162eebf18ddcc96288bc3854f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f345365fe0a1986b80299f7a99a306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82e5d28e2e5a4790e94db2daa6a07c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08666162eebf18ddcc96288bc3854f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b9e79106bbaed747a57fe038ea0934.png)
其中
您最近一年使用:0次
2022-07-20更新
|
465次组卷
|
4卷引用:山东省莱西市第一中学2021-2022学年高一下学期期中考试数学试题
山东省莱西市第一中学2021-2022学年高一下学期期中考试数学试题(已下线)8.6.3 平面与平面垂直(2)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)专题强化三 直线、平面的平行和垂直问题-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)专题强化一 线面、面面的平行和垂直位置关系-《考点·题型·技巧》
解题方法
2 . 下列命题:
①平行于同一条直线的两条直线平行;
②如果平面外的一条直线平行于平面内的一条直线,那么该直线与这个平面平行;
③如果一个平面内的两条相交直线分别平行于另一个平面,那么这两个平面平行;
④如果一条直线和平面内的两条直线垂直,那么该直线垂直于这个平面;
⑤如果一条直线和平面的一条斜线在平面内的射影垂直,那么直线也和斜线垂直.
其中正确命题的序号为______ .
①平行于同一条直线的两条直线平行;
②如果平面外的一条直线平行于平面内的一条直线,那么该直线与这个平面平行;
③如果一个平面内的两条相交直线分别平行于另一个平面,那么这两个平面平行;
④如果一条直线和平面内的两条直线垂直,那么该直线垂直于这个平面;
⑤如果一条直线和平面的一条斜线在平面内的射影垂直,那么直线也和斜线垂直.
其中正确命题的序号为
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3 . 已知a、b、c是空间中的三条直线,下列说法中错误的是______ .(写出所有满足条件的说法序号)
①若
,
,则
;
②若a与b相交,b与c相交,则a与c也相交;
③若a、b分别在两个相交平面上,则这两条直线可能平行、相交或异面;
④若a与c相交,b与c异面,则a与b异面.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a4352562ae8aa968014fd0d931b677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9aa5ff435b3f87c1aaf8997a675b2e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbe893317151c782ec2338e372cb424.png)
②若a与b相交,b与c相交,则a与c也相交;
③若a、b分别在两个相交平面上,则这两条直线可能平行、相交或异面;
④若a与c相交,b与c异面,则a与b异面.
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4 . 一个正方体纸盒展开后如图所示,在原正方体纸盒中有如下结论:
①AB∥CM;
②EF与MN是异面直线;
③MN∥CD.
以上结论中正确结论的序号为
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5 . 下列叙述中不正确的是________ .(填序号)
①如果两条直线都和第三条直线平行,那么这两条直线平行;②两条异面直线所成的角为锐角或直角;③直线
与
异面,
与
也异面,则直线
与
必异面.
①如果两条直线都和第三条直线平行,那么这两条直线平行;②两条异面直线所成的角为锐角或直角;③直线
![](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/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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6 . 已知命题:“若
,则
”为真命题,那么字母
在空间所表示的几何图形:①都是直线;
②都是平面;
③
是直线,
是平面;
④
是平面,
是直线.
其中正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f04d04906af75cb9df8b9800d9b286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd9fa99f51ca296c8f0ed6b9780adc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
②都是平面;
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e026ac41c5502a4743b336845bae2d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
其中正确结论的序号为
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7 . 连接球面上两点的线段称为球的弦,半径为4的球的两条弦AB、CD的长度分别为2
和4
,M、N分别是AB、CD的中点,两条弦的两端都在球面上运动,有下面四个命题:
①弦AB、CD可能相交于点M;
②弦AB、CD可能相交于点N;
③MN的最大值是5;
④MN的最小值是1;
其中所有正确命题的序号为_____ .
![](https://img.xkw.com/dksih/QBM/2016/3/9/1572527699361792/1572527705169920/STEM/da82dc25514f43a58e0bc73ed7ff01a9.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2016/3/9/1572527699361792/1572527705169920/STEM/2c8908502dbb4552a2a2739d991d4ebc.png?resizew=20)
①弦AB、CD可能相交于点M;
②弦AB、CD可能相交于点N;
③MN的最大值是5;
④MN的最小值是1;
其中所有正确命题的序号为
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8 . 如图所示,
为正方体,给出以下五个结论:
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/c71694fadc984a1a93b5952ae9dc54d4.png?resizew=177)
①
平面
;
②
平面
;
③
与底面
所成角的正切值是
;
④二面角
的正切值是
;
⑤过点
且与异面直线
和
均成
角的直线有2条.
其中,所有正确结论的序号为_______ .
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/e7359dc4f27742268871eaa6a42b5874.png?resizew=119)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/c71694fadc984a1a93b5952ae9dc54d4.png?resizew=177)
①
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/256a9939607e436e83c664bd80d23c41.png?resizew=43)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/f12c510c5ca64c6ba5b13ce36e89d831.png?resizew=44)
②
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/33edc0fca29048e480273e15a6959038.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/f12c510c5ca64c6ba5b13ce36e89d831.png?resizew=44)
③
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/a3b2c114af9141a6b5765d5f2ad7754a.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/c543875624e84a93b34ce358dc230294.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/0f4f7dc2f389467f9661751313196ee5.png?resizew=25)
④二面角
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/e99c394f75d04345bebf9ff684a45315.png?resizew=88)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/0f4f7dc2f389467f9661751313196ee5.png?resizew=25)
⑤过点
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/0016c1ab9c8c4807853fb7ef32fb1a67.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/20e0345fc6b04a699db62ab8486de3fe.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/0adaa92b96a6457ca283bf1e232525af.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2016/1/13/1572433164615680/1572433170382848/STEM/7331e047fdea45d7b31da50ecbae1758.png?resizew=25)
其中,所有正确结论的序号为
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9 . 如图所示,
为正方体,给出以下五个结论:
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/8168d41f27c34c4d988b3200f365547a.png?resizew=110)
①
平面
;
②
⊥平面
;
③
与底面
所成角的正切值是
;
④二面角
的正切值是
;
⑤过点
且与异面直线
和
均成70°角的直线有2条.
其中,所有正确结论的序号为________ .
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/a0e1bd667105477097407f6c8b6c426b.png?resizew=119)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/8168d41f27c34c4d988b3200f365547a.png?resizew=110)
①
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/3cf3602e2c404b68b198679237147278.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/96eb3f121a3543d08c547148a2a44210.png?resizew=43)
②
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/9dfc03ccf0454c8698b8c78a26b665c2.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/96eb3f121a3543d08c547148a2a44210.png?resizew=43)
③
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/9dfc03ccf0454c8698b8c78a26b665c2.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/6e65256a905c4b7fa68b69861eaf76cc.png?resizew=34)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
④二面角
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/a350b55816544df8af15f9b40f259506.png?resizew=72)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
⑤过点
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/a31cff3fb8ed4fd3a24ea43defc814a6.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/dc9b123bff7640a19c7daa3557979b71.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571945161850880/1571945166954496/STEM/9e22a52407074270a7164a493b8eba4f.png?resizew=28)
其中,所有正确结论的序号为
您最近一年使用:0次
2024高一下·全国·专题练习
10 . 已知a,b,c是空间中的三条相互不重合的直线,给出下列说法:
①若a∥b,b∥c,则a∥c;
②若a与b相交,b与c相交,则a与c相交;
③若a⊂平面α,b⊂平面β,则a,b一定是异面直线.
其中说法正确的是________ (填序号).
①若a∥b,b∥c,则a∥c;
②若a与b相交,b与c相交,则a与c相交;
③若a⊂平面α,b⊂平面β,则a,b一定是异面直线.
其中说法正确的是
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