名校
1 . 如图,多面体
中,面
为正方形,
平面
,
,且
,
,
为棱
的中点,
为棱
上的动点,有下列结论:
①当
为
的中点时,
平面
;
②存在点
,使得
;
③当
为
的中点时,直线GH与BE所成角的余弦值为
;
④三棱锥
的外接球的表面积为
.
其中正确的结论序号为______ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019c0405370c673e37b46c066eba839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7e72ef83184b96b12a51daf32c220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95893879ed5feeef3cb2cf68a1a88632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3362a45b72536c714c5107b0ae94f1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/22/b4af39c4-b247-4220-b17e-46dd0451f435.png?resizew=164)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4193fb98c610f41f9a6c89d046f13d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d09072f5be97caf5e942ae8fc16b0bf.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3f8b5c2dba20d42a8c551cd75a38fe.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26712d1a7a5864cd18498f16f7bd96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e95a79288fcb7e47fba4410722e2bc6.png)
其中正确的结论序号为
您最近一年使用:0次
2 . 给出下列命题:
(1)若平面
内有两条直线分别平行于平面
,则
;
(2)若平面
内任意一条直线与平面
平行,则
;
(3)过已知平面外一条直线,必能作出一个平面与已知平面平行;
(4)不重合的平面
,
,
,若
,
,则有
.
其中正确的命题是_____ .(填写序号)
(1)若平面
![](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/35f747152f006301e03b643afb80195c.png)
(2)若平面
![](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/35f747152f006301e03b643afb80195c.png)
(3)过已知平面外一条直线,必能作出一个平面与已知平面平行;
(4)不重合的平面
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e81e2fae4bf226cb0311850199f50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229ad7ff99f02612a2647de5986f7471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
其中正确的命题是
您最近一年使用:0次
2021-07-31更新
|
446次组卷
|
2卷引用:山东省淄博市部分学校2020-2021学年高一下学期期末数学试题
3 . 有如下命题:
①过不在一条直线上的三个点,有且只有一个平面;
②如果一条直线上的两个点在一个平面内,那么这条直线在这个平面内;
③平行于同一条直线的两条直线平行;
④如果空间中两个角的两边分别对应平行,那么这两个角相等或互补.
其中作为公理(基本事实)的是_____ (填写序号).
①过不在一条直线上的三个点,有且只有一个平面;
②如果一条直线上的两个点在一个平面内,那么这条直线在这个平面内;
③平行于同一条直线的两条直线平行;
④如果空间中两个角的两边分别对应平行,那么这两个角相等或互补.
其中作为公理(基本事实)的是
您最近一年使用:0次
名校
4 . 已知平面
,直线
.给出下列命题:
① 若
,则
; ② 若
,则
;
③ 若
,则
; ④ 若
,则
.
其中是真命题的是_________ .(填写所有真命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
① 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad564efbf04aee1ccc81132ed6189c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ffecec510e9a9957bd47c10f465ebb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3264ffd2699e4e49b5732c47082dfb6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fdc7e0cc0e84ffac8f2663784ca79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
其中是真命题的是
您最近一年使用:0次
名校
5 . 已知
是两个不同的平面,
是两条不同的直线,有下列命题:
①若
平行于同一平面,则
与
平行;
②若
,
,则
;
③若
不平行,则在
内不存在与
平行的直线;
④若
,
,则
且
;
⑤若
,
,则
与
所成角等于
与
所成角.
其中真命题有__________ .(填写所有正确命题的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79018590293277ff2d76452a50ad2dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3bdd7a1a12d66a8b32e239fd6886a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4042f9c51f83e3367d496e851735d7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808c6d37467a5c995d71e49408503927.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
其中真命题有
您最近一年使用:0次
2017-05-03更新
|
1257次组卷
|
4卷引用:山东省青岛市青岛第五十八中学2022-2023学年高一下学期6月月考数学试题