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单选题 | 较易(0.85) | 2021·河南高一期末(文)
1 . 分别对应于函数eqId3184b94641f6478983810a6d94441856eqIdcdc190bc6e184981a7a41822abfa51d4eqIda4bb1f4b20cc4256844fc027a73e995eeqId012550ac28404d2a9d1e39f523b053e5的图象的正确顺序是(   ).
说明: figure说明: figure说明: figure说明: figure
A.①②③④B.②①③④C.①②④③D.②①④③
单选题 | 较易(0.85) | 2021·广西高二期末(理)
2 . 直线eqId46b84c6522ea49708559c782310f3dd7与函数eqId6ce7baebdc364343b6c05ce67732df83的图象分别交于eqIdeb53cb7cb0274f7d8f111c60f824c243两点,则eqId4819509fefec4542acccfcf3d67cd699的最小为(   )
A.1B.eqId8f56f00b85034a0895280e14e30a18c0C.eqIde4d58f42bad9461b93d451da718fc6f4D.eqId6b2724baa0064c51b2ba39f5b281a1eb
单选题 | 较易(0.85) | 2021·福建高二期末
3 . 函数eqIddd143b296e5442b39b0d77f5f8931a0f的图象大致为(   )
A.说明: figureB.说明: figureC.说明: figureD.说明: figure
4 . 如图,在棱长为1的正方体ABCDA1B1C1D1中,EF分别为DD1BD的中点,点GCD上,且CGeqIdda3fe57e250a4b619aa9e3418e1534a4CD.
说明: figure
(1)求证:EFB1C
(2)求EFC1G所成角的余弦值.
填空题 | 一般(0.65) | 2021·福建高一期末
5 . 菱形ABCD的边长为2,∠A=60°,MDC的中点,若N为菱形内任意一点(含边界),则eqIdf8387ea2e9e6426eab86ec53044d9b5e的最小值为________
6 . 数据eqIde189d15728234f7785ef192cc72ac85feqId6a650bb180254677b4291c57418d764aeqId913e6838ec0b4af2b566e360a4a4748e…,eqId0926f6c8f74748d784074f0759f0f374的方差为eqIda81a30397f07454182c9dafdd26f2629,数据eqId43019b27e7564c2b8938587e0bfc653aeqId53b7356fc5a94445b0f009698124536beqIdf9aa97e7eb1e4ea78f00a90795cc6bcc…,eqId72733274992545b0a90d3b9b93ea29be的方差为eqIda2dc1721a1ab4b1c8f82d30d343fa7d5,且eqIdf6329978b3044865a618491bb375b337eqIdc052ddfbd4524f67a79e0e77c2e5656aeqId8898c1dc81824f3098bbeae74e8f11fd,…,eqId1bea057ce31f44079ac954ba14443f1a,则eqIdd80f25c77c4c49c3a1e2df9a0187fc81____________
单选题 | 一般(0.65) | 2021·广西高一期末
8 . 夏季是暴雨和洪水高发季节,需要做好各项防汛工作,为更好地考察防汛工作实际情况,某校高一数学兴趣小组前往某水库实地测量其大坝相关数据.eqId5bc8e1134afb4130a2c2d1a5b3e30dd6是该大坝的坡面,该小组在坝底所在水平地面的eqId052844cae8574a8ab842c38a039baac0处测得坝顶eqId93cbffaa5ae045d6ac45d1e979991c3a的仰角为eqId04068bf6a40c45088cefdf82f7cb44d0对着大坝在水平地面上前进eqId5994d9fa5a1f45a496a9f26f4a4a733f后到达eqId8754ce8cf7f34f04abb9a0c041f57f5c处,测得坝项eqId93cbffaa5ae045d6ac45d1e979991c3a的仰角为eqId69d856aa9713422eb064177a5aa9f7a3继续对着大坝在水平地面上前进eqId870f65d4202040988fc6758462bf6a3e后到达坡底eqId19a4eb16029e4550a14f2afe4741a3c3处,测得坝项eqId93cbffaa5ae045d6ac45d1e979991c3a的仰角为eqId3cea7a2efb644cc5801930423029983d则该大坝的高度为(   )
A.eqId001ca9e693144dd0a9ffbb0b042e1269B.eqId1cf68deeb90c489c97769c5f3326f55dC.eqIde4825ad7d31748cba82cb7c7120dedc3D.eqId3bed69b3675a42fcac10a49f75ace288
解答题 | 一般(0.65) | 2021·四川高一期末(理)
解题方法
9 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a是等差数列,数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63是正项等比数列,且eqId23b0ae8c2f7647fe834dd14b3ef6db43eqIde4cad42de6024a30b32dc5219dc25367eqId1d913a8147b5495f920ff018eb695b50
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)若eqId5fb2dddb209444abad36c7fc47720dbe,求数列eqId74ef5fe5183946caaee41d8974816a20的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqId92ed363a54bd4a8a93df9463bb3af1f5
10 . 点eqId2381423d4cd146cab95f55527681a766的极坐标为eqIdd562d6090d7e4ab9a5cf8b8e9beec837,则点eqId2381423d4cd146cab95f55527681a766的直角坐标为(   )
A.eqId58619333e64e4ee98eb9afb5ffe8059bB.eqIdba637985028247e7a92813e68e2e03c2C.eqIda886836690b546acb92efb689f27a831D.eqIde200a3a0cd62476fa562657d8a7948a6
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