名校
解题方法
1 . 如图,已知四棱锥
的底面是菱形,
交
于点O,E为
的中点,F在
上,
,
平面
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7171401b766d245215abf89674f3e892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb178784aa857d4d4683e650273f054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-04-19更新
|
733次组卷
|
3卷引用:江西省南昌市第十九中学2021-2022学年高二下学期第一次月考数学试卷
江西省南昌市第十九中学2021-2022学年高二下学期第一次月考数学试卷(已下线)6.4 .1 直线与平面平行-同步精品课堂(北师大版2019必修第二册)吉林省实验中学2023-2024学年高一下学期5月期中考试数学试题
名校
解题方法
2 . 如图,棱长为2的正方体
中,E、F分别为棱
的中点,G为面对角线
上一个动点,则下列选项中正确的是 _____ .
①三棱锥
的体积为定值
.
②存在
线段
,使平面
平面
.
③G为
上靠近
的四等分点时,直线
与
所成角最小.
④若平面
与棱
有交点,记交点分别为M,N,则
的取值范围是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e3e67d56b946fd77a7f9d12222e0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e79d516856d92c60553659a22a45118e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1762bd4dae0766e3bcb49c29a57a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd975b889bfe7ddcec0de56b6f23ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf9628142422a4884bd59538da6d312.png)
③G为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
④若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11dbfa1097bc37f9c0072bcb7daeb2d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b88477451cc7efc1cacf4b03e4b13d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/f665888a-2601-41c9-80e0-6fd31aabbd12.png?resizew=174)
您最近一年使用:0次
3 . 如图,在棱长为1的正方体
中,E,F,K分别为线段
的中点,下列四个结论:①直线
共点;②直线
为异面直线;③四面体
的体积为
;④线段
上存在一点N使得直线
平面
.其中所有正确结论的序号为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14da20efab87c75b6852155c889e97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9406e24d6c5d85bb416343552c1ec854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f5cdb2bbcc88050210824477b91ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369eb8ad56da7dc1cdb7c43762be4bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d7abf02717d6e59d8a64a65a87c412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae72f5e5891249caa10c43224da89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae39b47a4da24a0647620f09fd0029c0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/458d499f-e901-4314-8cc7-4531750c5069.png?resizew=157)
您最近一年使用:0次
4 . 已知长方体
中,侧面
的面积为2,给出下列四个结论:
①当
为
的中点时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
平面
;
②若三棱柱
的体积为2,则点
到平面
的距离为3;
③若
,且在棱
上存在一点
,满足
,则四棱锥
外接球的体积为
;
④若在棱
上存在一点
,使得
为等边三角形,则四棱锥
外接球表面积的最小值为
.
所有正确命题的编号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
②若三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad91719bd5fdc1b2d3d5298f2f44cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c44d63134e34952eec37a89686b6a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbcffe417a02e199bcaf2c268cdb3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb457e8ac0d3ac35e1c668ea138f91.png)
④若在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad3e2b2689dfe97ec82d473ab6cf469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbcffe417a02e199bcaf2c268cdb3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192e717198303c0ed6150af13c6f969d.png)
所有正确命题的编号为
您最近一年使用:0次
5 . 如图,已知圆锥
,底面圆内接正方形
,若平面
平面
.现有以下三个结论:
平面
;
②
;
③若
为钝角,
是底面圆周上的动点,则
的最大面积大于
的面积.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b66af1efba9c495ea6273cc06b7f328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ab7bd4b7520525ce61881a052c3f04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3c0430146b7b8d40ebb721a4d0de19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ee6c7e0dfe134561f818cb51eebe09.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c52e1ac6e3dc5140344d1e31fa9a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4ab88b5a64821a06de8593ddba0145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e49817548cb45b3d1e58570644c6fc.png)
其中所有正确结论的序号是
您最近一年使用:0次
解题方法
6 . 如图长方体
中,
,
,上底面
的中心
到平面
的距离是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3e58edd1f900ca82bb2a3058293f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775df7ba0dc94c15e9e706194a463f1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/1e5756d1-3fe8-4b0b-a3d6-d43f7aeb3d3e.png?resizew=171)
您最近一年使用:0次
2023-09-25更新
|
225次组卷
|
2卷引用:浙江省衢温“5+1”联盟2022-2023学年高二上学期期中联考数学试题
7 .
,
为两个不同的平面,
,
为两条不同的直线,下列命题中正确的个数是________ .
①若
,
,则
; ②若
,
,则
;
③若
,
,则
; ④若
,
,
,则
.
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202af51f5ebe87ec0017f439a6ad7fbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b1abe635d973a6ec347b597982fdc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb088614157a85ed7cb11802e49a2981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af680499446f4f2cd3c3d6cb37905efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a042a14e1c3c915ad11544c9e1e57da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0205571fa39f343ee5749b78d466bf0.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0205571fa39f343ee5749b78d466bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59b1a01a6da42ff2a41e5b91ea301ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3bdd7a1a12d66a8b32e239fd6886a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b610e3c5b3d78a5730e7f3d736ac28.png)
您最近一年使用:0次
2023-08-15更新
|
215次组卷
|
2卷引用:天津市天津经济技术开发区第二中学2023届高三上学期期中数学试题
2023高一·全国·专题练习
解题方法
8 . 在正四棱柱
中,E是BC的中点,F是
的中点,P是棱
所在直线上的动点.则下列四个命题:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bc1e2d1d17ecd9f94e97c8e9c3fd18.png)
②
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef505a9c3663e0638b890c2872975ea.png)
④不存在过P的直线与正四棱柱的各个面都成等角.
其中正确命题的序号是______ (写出所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ecad355286188fd317939fa50f9555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bc1e2d1d17ecd9f94e97c8e9c3fd18.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef505a9c3663e0638b890c2872975ea.png)
④不存在过P的直线与正四棱柱的各个面都成等角.
其中正确命题的序号是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/17/4045a072-26f7-435a-9411-00590857c1f9.png?resizew=133)
您最近一年使用:0次
名校
9 . 如图,在棱长为2的正方体
中,
、
、
分别是
,
,
的中点,
是线段
上的动点,则下列命题:
①不存在点
,使
//平面
;
②三棱锥
的体积是定值;
③直线
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ce50ba5e349425274f05d46d120a74.png)
④经过
、
、
、
四点的球的表面积为
.
正确的是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94ce22f30a8de2af135de3c89403aff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/25/e0c2cf53-8d74-41d8-a86e-021f04c24043.png?resizew=155)
①不存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babea91663e479b0018ebac5e36374d5.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec5322800f0a88b7006bdb0a8de0fb.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ce50ba5e349425274f05d46d120a74.png)
④经过
![](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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e95a79288fcb7e47fba4410722e2bc6.png)
正确的是
您最近一年使用:0次
2023-07-23更新
|
182次组卷
|
4卷引用:黑龙江省佳木斯市第一中学2022届高三第三次模拟数学(文)试题
黑龙江省佳木斯市第一中学2022届高三第三次模拟数学(文)试题(已下线)第03讲 直线、平面平行垂直的判定与性质(练)四川省射洪中学校2023届高三上学期第三次月考文科数学试题四川省成都市天府新区实外高级中学2024届高三上学期10月月考数学(文)试题
2022高一·全国·专题练习
解题方法
10 . 在空间四边形ABCD中,E、F分别为AB、AD上的点,且
,又H、G分别为BC、CD的中点,则________ (填序号)
①
平面EFG,且四边形EFGH是平行四边形
②
平面BCD,且四边形EFGH是梯形
③
平面ABD,且四边形EFGH是平行四边形
④
平面ADC,且四边形EFGH是梯形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec31947e2301789616d256d96c984509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/24/78d97cff-afcf-4cc6-a120-7b837c61ecb1.png?resizew=168)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5d62dcf1c173fe35595dfed43f9c87.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150e29756f1e4a23554ade561721d7c7.png)
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