1 . 已知曲线
,
,
,P为C上异于A,B的一点,直线
与直线
交于M,直线
与直线
交于点N,则有以下四种说法:
①存在两个定点,使得P到这两个定点的距离之和为定值
②直线
与直线
的斜率之差的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
③
的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad28387ae313e0d6528cb4f809acc0f7.png)
④当直线
的斜率大于
时,
大于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99797d2ad06e662bf2d245b8e3f5ef70.png)
其中正确命题的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ea3f1431ae5a8a0d30a94cafa7b71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a18a7caa080988802ba1145b4fe4203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
①存在两个定点,使得P到这两个定点的距离之和为定值
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad28387ae313e0d6528cb4f809acc0f7.png)
④当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99797d2ad06e662bf2d245b8e3f5ef70.png)
其中正确命题的序号为
您最近一年使用:0次
名校
2 . 设
是两条不同的直线,
是三个不同的平面,下列说法中正确的序号为( )
①若
,则
为异面直线 ②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202af51f5ebe87ec0017f439a6ad7fbf.png)
③若
,则
④若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc52997e8e7d139cb30eea9bdd71b406.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a5990df94c1e61df16039f30052ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66676a4ba8946c6f8c8ff9e2287aac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202af51f5ebe87ec0017f439a6ad7fbf.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0365f4796822f9772287cbd94f271c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09eeb563830b4802ae817b4da6b69c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
A.①② | B.②③ | C.③④ | D.②④ |
您最近一年使用:0次
2024-06-13更新
|
1005次组卷
|
8卷引用:宁夏吴忠市吴忠中学2024届高三下学期第五次模拟文科数学试卷
名校
解题方法
3 . 如图,菱形
的对角线
与
交于点
,
是
的中位线,
与
交于点
,已知
是
绕
旋转过程中的一个图形﹐且
平面
.给出下列结论:
平面
;
②平面
平面
;
③“直线
直线
”始终不成立.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b51d3992644d37dc71c9b5a97d515c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff39c7aa648afd1080206c8080ff79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c72495428bbbd12cad3271b0654ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
②平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③“直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce49710609f7bffc36441dc5c2f7c2ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
其中所有正确结论的序号为( )
A.①②③ | B.①② | C.①③ | D.②③ |
您最近一年使用:0次
2024-03-27更新
|
858次组卷
|
9卷引用:2024届宁夏回族自治区银川一中高考三模理科数学试题
2024届宁夏回族自治区银川一中高考三模理科数学试题四川省广安市2024届高三第二次诊断性考试数学(文)试题2024届四川省遂宁市等3地高三二模文科数学试题四川省雅安市2024届高三下学期二诊数学(文)试题河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次月考数学试卷四川省乐山市2024届高三第二次调查研究考试文科数学试题(已下线)专题20 空间直线、平面的垂直-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)8.6.3平面与平面垂直【第三课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)6.5.2平面与平面垂直-【帮课堂】(北师大版2019必修第二册)
4 . 已知抛物线
的准线与
轴交于点
,过焦点
的直线与
交于
,
两点,且
,
,
的中点为
,过
作
的垂线交
轴于点
,点
在
的准线上的射影为点
,现有下列四个结论:
①
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b46051fea24610b42da314ec58bbb80.png)
②若
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0907a673d52825cd7df84b400972d4b9.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fa2b518ebf9484213915998ef221c4.png)
④过
的直线与抛物线交于
,
,则
.
其中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d335e66dec30244e3ee1c0d193335e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b46051fea24610b42da314ec58bbb80.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3003587b95523caeb2d8ccaf27fa5a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0907a673d52825cd7df84b400972d4b9.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fa2b518ebf9484213915998ef221c4.png)
④过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.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/5c0b06dc01c30d13f64be2ac6a1d811e.png)
其中正确结论的序号为
您最近一年使用:0次
名校
解题方法
5 . 在正方体
中,
为棱
上的动点,
为线段
的中点.给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/728f8e20-d71a-4a9d-af5a-2f992985d287.png?resizew=160)
①
;
②直线
与平面
的夹角不变;
③三棱锥
的体积不变;
④点
到
,
,
,
四点的距离相等.
其中,所有正确结论的序号为_____________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9601d29de0a884953b039ee72f0158fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/728f8e20-d71a-4a9d-af5a-2f992985d287.png?resizew=160)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3681ff426cdbe7184eeb004ff0eaefb.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557f8ff92d79a9d464ff13de17f3eae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcfe69b939fd1c271747fe9d37ccdf9.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc3bf74119692ac98eb24fcfa2a3f9f.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
其中,所有正确结论的序号为
您最近一年使用:0次