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四川省三台中学实验学校2019-2020学年高一下学期开学考试数学试题
四川 高一 开学考试 2020-09-16 19次

一、单选题添加题型下试题

3. 数列eqId93e38ecd74a24cb59da79181b95bfd3a,若eqId1b870f8b46dc466aa4eb8cceaae660c7eqId9cfea2d311da45488a84ad01481210f8,则eqIdb2fb132dbd7f4e809993e2923f6724b1(   )
A.9B.13C.10D.11
4. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角eqId32e6b3a6aabd463cbd301d104e9c2aad的对边分别为eqIdc9b6648789574cbab558be8c948cfe27,若eqIdd66be377ad1d45ae8af6279844637886,则eqId64b9b599fdb6481e9f8d9a94c102300b的形状一定是(   )
A.等腰三角形B.直角三角形C.等边三角形D.等腰直角三角形
6. 若数列eqId2c1230a9ef5a4968be599681d676dd2b为等差数列,eqIdc633d3b73ca74dd9ad3c7ff9392a7987,则eqId3109141fb06641ea956bc0965062692c(   )
A.7B.8C.10D.11
8. 如图所示,已知eqId2bf541db77de4bd991215c945ec8c100eqId8a550d78a970442cb59c05a1f4ad5ba0eqId948d75eb62c0441bb991a37c722c20a7eqIdaeaed8016a7d45d68799df8eaf97ec69,则下列等式中成立的是(  )
说明: figure
A.eqId8a15eb3e5fa04480b1ae28ac879d8e7eB.eqIdd080519216fc479dbdae256daee541c6C.eqId2977c830d0644ba29f3f2c1f6d27f739D.eqId4cf19c183b0543d49952d36ad33a4820
9. 在eqIdb1803dcd0646465285ffbf361c487652中,eqId9b96db338742430dbfba6e3e6a489f9d(  )
A.eqId5d04f8a500ff47769300856360b7f29aB.eqIdcd9b24a6a6e5426ab775be20461174e3C.eqId5d04f8a500ff47769300856360b7f29aeqIdcd9b24a6a6e5426ab775be20461174e3D.以上都不对
11. 古希腊人常用小石子在沙滩上摆成各种形状来研究数, 例如:他们研究过图①中的eqId2831be4ed1884ef99727cb058c426b87由于这些数能表示成三角形,将其称为三角形数;类似地,将图②中的eqId96b997142b8240bca95c811ef9071759这样的数称为正方形数.下列数中既是三角形数又是正方形数的是( )
说明: figure
A.189B.1024
C.1225D.1378
12. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角eqId32e6b3a6aabd463cbd301d104e9c2aad所对的边分别为abc,给出下列四个结论:①若eqId6e1b2c5078584a65b85eb9eaf71551f0,则eqId90abbd312a4c48aaa183340dec30a990;②等式eqIdcf639d5dcaed4967a460e71cfbdc5e41一定成立;③eqIdbe060a2653c84a1596d8d40ac2e35e7e;④若eqIdba6d52b425474cb2acf66e4f59b44f82eqIde293403f170b44ebbc705185fe8235dc,且eqIda6b07216cf6445e0bf5f84016b1d5aa1eqId0e361b43bd3241fbb936b17fa6dee682,则eqId64b9b599fdb6481e9f8d9a94c102300b为等边三角形;以上结论正确的个数是(   )
A.eqId37705e1ef6a84bbdbe88433e75932cdfB.eqIdc052ddfbd4524f67a79e0e77c2e5656aC.eqId8898c1dc81824f3098bbeae74e8f11fdD.eqIdddd35c5d043e4ebeac32a99367053c68

二、填空题添加题型下试题

13. eqId06d9f08c07ba43a58f637798d6e65053eqIdb48365b71151440d9579dbdeae6e74d8的等差中项是____________.
15. 设向量eqId1da0f28d13de4404b1255259409bc7adeqIdc91f7835c4144e81ab23732f3d013fc7的夹角为eqId50619b805a9743fe980db51e08985a46,定义eqId1da0f28d13de4404b1255259409bc7adeqIdc91f7835c4144e81ab23732f3d013fc7的“向量积”:eqId8b9d33fa63dd4a82a31aecf1f8078593是一个向量,它的模eqId20b2d35480124c42ac6c67c8b84a12e6,若eqId5d751601e4f24716b47109da3d3f61e1eqIdb168372585d34ecb885c2f8b4ff12e10,则eqId5714cc59f0a346a4ba62d3d12afdb3f1__________.

三、解答题添加题型下试题

17. 设锐角三角形ABC的内角ABC的对边分别为abceqIdc7266513566841268b4ec116a73913a4.
(1)求B的大小.
(2)若eqId856c4a8cc93d41ea85e48501d3c5e6d8eqId04d75161db4c4cb59f878e47fd30d54d,求b.
更新:2020/09/16 |题型:解答题 |组卷:3|引用[32]
18. 已知eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5eqIdb7c6d8371b09414d839ebda7276899f4是一个平面内的三个向量,其中eqIde962a889212647b98d4050ad595c5969.
(1)若eqIda9af58b7b3a846138729056481c6d62feqId60b16c0e77534f0dbed30c745e4743bc,求eqIdb7c6d8371b09414d839ebda7276899f4eqId0c20553622634936b0873a5b686a404a.
(2)若eqIde218edd03429498a97beb9432d6c4b08,且eqId23ea9309b0174ad7bcbda4cc87de16e0eqIdd5c363d9659347d8a98ba31dddd13dbd垂直,求eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5的夹角的余弦值.