组卷网>知识点选题>定义法或几何法求线线、线面、面面角
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填空题 | 较易(0.85) | 2021·全国高一课时练习
1 . 在正方体ABCD-A1B1C1D1中.(1)直线A1B与平面ABCD所成的角是________;(2)直线A1B与平面ABC1D1所成的角是________;(3)直线A1B与平面AB1C1D所成的角是________.
说明: figure
更新:2021/06/16组卷:3
多选题 | 一般(0.65) | 2021·浙江高一期末
2 . 已知矩形eqId5ce7a06ae7a34393b92b5277978ac014eqId098b549f0ca24a08bfef7b42b49c40ed,将eqId19081cc6b1ee4c34b85e9245d585572d沿对角线eqIdcf2da96900c948a1b3ce7cbfd420c080进行翻折,得到三棱锥eqIda05cf829680e460f9f2ab31071f44695,则在翻折的过程中有下列结论:(   )
说明: figure
A.四棱锥eqIda05cf829680e460f9f2ab31071f44695的体积最大值为eqId4a6d9e827a244409a8376651b7e648c4B.四棱锥eqIda05cf829680e460f9f2ab31071f44695的外接球体积不变
C.异面直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqId34c6b6e427744abfb88dc90b8c7c2111所成角的最大值为eqIdcbf8f098b4634cf49e9e651e10b7cf1dD.eqId8a76bbe21fb549e3a9c2038d58c7a3d8与平面eqIda670baf5d73f4d7689915a00c51820f2所成角的最大值为eqIdf1c3337151994ec4b99354c9d54f311c
更新:2021/06/16组卷:49
3 . 已知正四棱锥eqIdac097205e9cb41279269aadcac3fb6f1的底面边长为eqIdc052ddfbd4524f67a79e0e77c2e5656a,其内切球的半径为eqIdd9026ce1966847eb86a5e13345fed583,则该四棱锥的侧棱与底面所成角的正切值为_________(用含eqIdd9026ce1966847eb86a5e13345fed583的代数式表示).
填空题 | 一般(0.65) | 2021·浙江高二期末
4 . 如图在圆锥eqIdfa5c4f72660e423282e2d9a22fbb8b65中,AB是圆O上的动点,eqId85f61c35430a45cb920813d2c952f2dd是圆O的直径,MNeqId7dd42628f24e43619424a4af9a2b7725的两个三等分点,eqIda76d34181c264524a28676c43fe55a1c,记二面角eqId9a30439a4b0842bf918cfd0e1860a94feqIdea240b0755eb4d0b9fe02e4801ef70a4的平面角分别为eqIde6bc05af65834eadae84eee21da47156,若eqId44a37c15f59949d58e9c35c9d0c1a403,则eqId6c9518e43fd5459798a30cfc10026e3c的最大值是________
说明: figure
更新:2021/06/16组卷:18
单选题 | 一般(0.65) | 2021·全国高二专题练习
5 . 已知直三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,eqIdf0b621fafc9e467394ef5c9bf51427eb,则异面直线eqId1ed5c9a541554ff2bbacbddf4d0638c6eqId3be2cc74b5df4257b116d1672859cb5e所成角的余弦值为(   )
A.eqIde4d58f42bad9461b93d451da718fc6f4B.eqId36bd695844fa490ea1dcfdce3cbf685cC.eqId1adeb6f128884c67b058eaea3717a084D.eqIdbf4d8b310ca74c22a7eb63a406f4674a
更新:2021/06/15组卷:36
多选题 | 困难(0.15) | 2021·浙江高一期末
6 . 如图,矩形eqId5ce7a06ae7a34393b92b5277978ac014中,已知eqIdce83b4fb892a4381870239bb603f1df3eqId8a76bbe21fb549e3a9c2038d58c7a3d8的中点,将eqId7ad7a82e0b5e414991c43a0bbb3b1db1沿着eqId1dcb20a9ce8d4076af5dd64f7066c6d6向上翻折至eqIdb877c1f9869043548f7f2a8540ba5765,记锐二面角eqId9b1962b93f5d490bb3f4bf2e9329c60b的平面角为eqIdcf8a1c2f2c0e4325890dfbf50243233e与平面eqIdda27baf162634ddaab4c30f70ed6eb60所成的角为eqId4eb56f42ca674f2f9c9101b548763159,则下列结论一定成立的是(   )
说明: figure
A.eqId135f8d934a37450184fed001ff7e0e29B.eqId12b48c41ae174730ac9203cca9413ed0
C.eqId38983e42719048d49818a784c067ad62D.eqId938c919fa21743528f227f7999e8522a
更新:2021/06/15组卷:0
单选题 | 一般(0.65) | 2021·全国高一课时练习
7 . 在正方体eqId588284d93dc5489295f8f224f8e30d13中,eqIdfe9cbfb067114ce8857e621d77cb5feb与平面eqIdef8684b13018435bb5e2d072f64022ae所成角的正弦值为(   )
A.eqId650bf73d6b904c6a9ee39b0dc18fea28B.eqIdbf4d8b310ca74c22a7eb63a406f4674aC.eqId5f51ce9cc7fe4412baeb871cceb26665D.eqIde0b8cd3018f64415bea8dce0a25d0538
更新:2021/06/15组卷:0
解答题 | 较易(0.85) | 2021·全国高一课时练习
8 . 如图所示,三棱锥A-SBC中,∠BSC=90°,∠ASB=∠ASC=60°,SASBSC求直线AS与平面SBC所成的角.
说明: figure
更新:2021/06/15组卷:0
双空题 | 较易(0.85) | 2021·全国高一课时练习
9 . 如图所示,在正方体ABCD -A1B1C1D1中,直线A1B与直线AC所成角的大小为____;直线A1B和平面A1B1CD所成角的大小为____
说明: figure
更新:2021/06/15组卷:0
解答题 | 一般(0.65) | 2021·全国高一课时练习
10 . 如图,边长为eqIdc052ddfbd4524f67a79e0e77c2e5656a的正方形eqId5122959e76284546b5f4610a8a02f714所在的平面与平面eqIda670baf5d73f4d7689915a00c51820f2垂直,eqId8a76bbe21fb549e3a9c2038d58c7a3d8eqId5bc8e1134afb4130a2c2d1a5b3e30dd6的交点为eqId2381423d4cd146cab95f55527681a766eqId485e0ed66f8e483995b667bfb1bb3fa4,且eqIdd97c7f4988a04f639f6be97a82879c99
说明: figure
(1)求证:eqId9bc4e9bcc8ae4bf99e7461793883794c平面eqIdc97f045463594160af5f8eed0e81619b
(2)求直线eqId13992fb40f4c45c29adf8b5a786e497c与平面eqId9f4208fa07f24bc69ce1bf42c811eec2所成角正切值.
更新:2021/06/14组卷:0
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