1 . 三棱锥
中,
,
是斜边
的等腰直角三角形,则以下结论中:
①异面直线SB与AC所成的角为90°;
②直线SB
平面
;
③平面
平面
;
④点C到平面
的距离是
.
其中正确结论的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7ab0df2ffe264fdc5296b65286d43a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42e97eee705d164e6ac6de9ecd6d1f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/19/c73409de-085e-4fa1-a690-70aae7d5e479.png?resizew=138)
①异面直线SB与AC所成的角为90°;
②直线SB
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e6192cf24ada791c26c2d6d434069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
④点C到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b234f945df3ebb9fe5e3e903fad696b7.png)
其中正确结论的序号是
您最近一年使用:0次
名校
解题方法
2 . 如图,
是
的直径,
垂直于
所在的平面,
是圆周上不同于
,
的任意一点,
,三棱锥
体积的最大值为
,则当
的面积最大时,线段
的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.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/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2022/1/11/2892174343086080/2892237429981184/STEM/1b1b697b-6c1b-483a-9f9f-883369dc5291.png?resizew=184)
您最近一年使用:0次
2022-01-11更新
|
517次组卷
|
4卷引用:四川省眉山市2021-2022学年高三上学期第一次诊断数学(文科)试题
四川省眉山市2021-2022学年高三上学期第一次诊断数学(文科)试题四川省遂宁市2022届高三第一次诊断性考试数学(文科)试题江西省九江第一中学2021-2022学年高二下学习开学考试数学试题(已下线)秘籍05 空间向量与立体几何-备战2022年高考数学抢分秘籍(新高考专用)
解题方法
3 . 如图,在正方体
中,
是线段
上的动点,下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/183d2833-8785-4fb8-80a5-96bfe8afaf95.png?resizew=168)
①
面
;
②
面
;
③直线AD与平面
所成角的正弦值为
;
④三棱锥
的体积不变.
其中正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/183d2833-8785-4fb8-80a5-96bfe8afaf95.png?resizew=168)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d560542b646924eaf577480ac73281b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
③直线AD与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a91c2d02c8116e99111c488056553d.png)
其中正确结论的序号为
您最近一年使用:0次
4 . 已知空间一球,
为其直径且
.A,B为球上两点,满足
,且
,则四面体
的体积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6df8b81a114ee91e3f6483bc5ba0982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a944e0cbc23f379deb41c0188fe5ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d18f11eaebee6480f29838eafbb6282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
您最近一年使用:0次
2023-07-31更新
|
152次组卷
|
2卷引用:四川省眉山市彭山区第一中学2023-2024学年高二上学期开学考试数学试题
名校
解题方法
5 . 如图,在正方体
中,E是线段
上的动点,下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/4ead815c-884c-4204-ae02-ea6ae784984b.png?resizew=164)
①
面
;
②
面
;
③二面角
的平面角为
;
④三棱锥
的体积不变.
其中正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/4ead815c-884c-4204-ae02-ea6ae784984b.png?resizew=164)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d850305485a6d3ee30fe313dc8bb736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
③二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc741de0ca651a0f3ef1974c3bb52bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a91c2d02c8116e99111c488056553d.png)
其中正确结论的序号为
您最近一年使用:0次
2022-01-25更新
|
228次组卷
|
2卷引用:四川省眉山市2021-2022学年高二上学期期末数学(文)试题
名校
解题方法
6 . 在三棱锥
中,点O是点P在底面ABC内的射影.若
,
,则O是
的___ 心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a15a004f7d47ed595f063e60075223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbd1316b9d1f0c1e71fd078deec61f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2021-11-21更新
|
169次组卷
|
2卷引用:四川省眉山市第一中学2021-2022学年高二上学期期中考试数学(文)试题
名校
解题方法
7 . 在三棱锥
中,点O是点P在底面ABC内的射影.
(1)若PA=PB=PC,则O是△ABC___ 心;
(2)若PA⊥BC,PB⊥AC,则O是△ABC的___ 心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
(1)若PA=PB=PC,则O是△ABC
(2)若PA⊥BC,PB⊥AC,则O是△ABC的
您最近一年使用:0次
9-10高二下·四川眉山·期末
解题方法
8 . 将边长为2,锐角为
的菱形
沿较短对角线
折成二面角
,点
分别为
的中点,给出下列四个命题:
①
;②
是异面直线
与
的公垂线;③当二面角
是直二面角时,
与
间的距离为
;④
垂直于截面
.
其中正确的是______________ (将正确命题的序号全填上).
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/4f3bdc47383c4188a1d0cd702232287b.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/d5011570b2af442ca2d6a16aa50b4819.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ca65a43e3494478a95118b55346ce9a6.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/810255ef761d4c66a79254944bbfd535.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/f74b0e92ecab4e3e9f7c16e34c55b10e.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ec89d7d6c115471c900a65d2925c77ae.png?resizew=56)
①
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/83d1761e17144cd5bfa0cea20333825a.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/89fa0ce58e95410cae81a945bb88bbd8.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ee62b038fee34cc08497b0e126e9f4fe.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ca65a43e3494478a95118b55346ce9a6.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/810255ef761d4c66a79254944bbfd535.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ee62b038fee34cc08497b0e126e9f4fe.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ca65a43e3494478a95118b55346ce9a6.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/6491e1a091b04eb48433ba3bdcad725d.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ee62b038fee34cc08497b0e126e9f4fe.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/170241cf8bdd4d57a06b594c39ce0453.png?resizew=37)
其中正确的是
您最近一年使用:0次