组卷网>知识点选题>求异面直线所成角
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2 . 已知在平行六面体eqId588284d93dc5489295f8f224f8e30d13中,eqId4740de56fbbb450eabff7e9a147ef9e1eqId749893e539b64cc2894ade9aa40a9f60eqId93cbffaa5ae045d6ac45d1e979991c3aeqId9773922f56d549e18e0f97d076771cb7的中点.给出下列四个说法:①eqId936c421560134d878aaa3f2d8bc39d68为异面直线eqId8a76bbe21fb549e3a9c2038d58c7a3d8eqId8f39d706a505485987ccbb3f6177d72d所成的角;②三棱锥eqIdc42228befe6b4760b3fc96b3f1cafb73是正三棱锥;③eqIdb4351921ac2e444b9721ec29ecc76b67平面eqId209f34d63cda494ab5d9dc87eafb8435;④eqIdae0b5d9f04124390988ab54c860c03f2.其中正确的说法有___________.(写出所有正确说法的序号)
说明: figure
3 . 已知正三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,eqId18e3ae3e255349039d6726b8293c6cabeqId8b9939c474e64920a8674fc1242c2c9c,点eqId2e472e2834814474a91b8ffcdc28fbcfeqId31581e8b21734ef88d2a14232de7e7a6的中点,则异面直线eqIda91c1cc3600e4aabb12a8ccd0ca4ce8eeqIda73a41244de147efaf21de0feda7804d所成角的余弦值为(   )
A.eqIdf989ca508c0a472187e055736ea0b313B.eqIdd9014531eb8f4ecfaa1496f0f3b63ac4C.eqIdea491c3408284d46a85ac4b9b8f0ce01D.eqId5222c2ea3b544c58bafb590c9238c493
单选题 | 容易(0.94) | 2021·全国
同步
4 . 在正四棱柱eqId588284d93dc5489295f8f224f8e30d13中,eqIdd90201022caa47c68a8c23ad1eaf7cd5eqIdbaf3190e0f774d358d4653cb7faf5b9a,则异面直线eqId3be2cc74b5df4257b116d1672859cb5eeqId538ce9e5c47543d0bb0404b64558235d所成角的余弦值为(   )
A.eqId8d2b31db26f04d9d9e2466ea9c21ae76B.eqId31e0b199967d4d01935896d85ae295bdC.eqIdea491c3408284d46a85ac4b9b8f0ce01D.eqIdea491c3408284d46a85ac4b9b8f0ce01
解答题 | 较易(0.85) | 2021·全国
同步
5 . 已知正方体eqId588284d93dc5489295f8f224f8e30d13eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175分别为棱eqId0627be51821d4be7b3e024a354815d64和棱eqId8f39d706a505485987ccbb3f6177d72d的中点,求异面直线eqIdcf2da96900c948a1b3ce7cbfd420c080eqId1a0830891ff846de8422ea80714ecab4所成的角.
说明: figure
解答题 | 较易(0.85) | 2021·全国高一课时练习
同步
6 . 如图,在正方体eqId588284d93dc5489295f8f224f8e30d13中,eqId71891062a8724584af9a2c4c77cd566e分别是棱eqId4087210ecd864323b4c4e814fa2edb90的中点求异面直线eqIda8e760eb67374d8ea911088ac13af469eqId2a287c7d397140c685135790e5ddff97所成的角的大小.
说明: figure
双空题 | 较易(0.85) | 2021·全国高一课时练习
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7 . 如图,若正四棱柱eqId588284d93dc5489295f8f224f8e30d13的底面边长为2,高为4,则异面直线eqId7b55f4e26a554edd8ea14a18e34d7769eqIdea82c30b37894b1bb742dee61200db07所成角的正弦值为______,异面直线eqId7b55f4e26a554edd8ea14a18e34d7769eqId8a76bbe21fb549e3a9c2038d58c7a3d8所成角的正弦值是________
说明: figure
解答题 | 一般(0.65) | 2021·全国高一课时练习
同步
9 . 如图所示,点AeqIdf1ce351f76eb4d45b6c30ce080bb02c8所在平面外一点,eqId2b1276d1ff6a446bbd185be5eb85634eEF分别是eqId9be745f8fb8e4d0ba9ed0033d6afecfc的中点,当eqId8b8afab0db5a4e44a450aeac79fb120a时,求异面直线eqId8a76bbe21fb549e3a9c2038d58c7a3d8eqId0627be51821d4be7b3e024a354815d64所成的角.
说明: figure
单选题 | 容易(0.94) | 2021·全国高一课时练习
同步
10 . 如图,在直三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,DeqId31581e8b21734ef88d2a14232de7e7a6的中点,eqId8380be850b5343759bcbddc19aa6ac44,则异面直线eqId1b51efe7c2fa42748ac5a6be262e2fa4eqIdcf2da96900c948a1b3ce7cbfd420c080所成的角为(   )
说明: figure
A.eqId4023ceb292e24a45871ca56fa44d50e3B.eqIdd01b7918993a412cb774dea127f210b6C.eqIdf1c3337151994ec4b99354c9d54f311cD.eqIdcbf8f098b4634cf49e9e651e10b7cf1d