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安徽省示范高中培优联盟2019-2020学年高一下学期春季联赛文科数学试题
适用年级:高一 试卷类型:月考 试题总数:22 浏览次数:59 上传日期:2020-08-02
1 . 已知集合eqIda0f73ee75c284d9cbe2f83545c2d9354eqIddc26118e90a24fb287f0f1d1b391f34b,则eqIdb4f173ce5140472a9825ca2d30e03a7b(   ).
A.eqIdd24d16adf82749f2bba9ed400bbc91a6B.eqIde327c47000b04c6daee727c47be19120C.eqId85884bbf24174af285be99654e698255D.eqIdb01893c11ede441dad1b602ece47a374
更新:2020/08/02难度:0.85题型:单选题组卷:52
2 . 已知二元函数eqId48c23ad727d6456fbda5530ab6d6db0b,若eqIdafa5c22d073645e18c8fcb06d23b8e7c,则eqId287a32424e024f96ac52fa9aea15e3a3的最小值为(   ).
A.8B.9C.12D.6
更新:2020/08/02难度:0.94题型:单选题组卷:29
3 . 定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的函数eqId6f13759e937144069819aed2ae5a1057同时满足:①对任意的eqIded992dabb96540738b4af367ae890172都有eqId6f83cf49ed5645bd918d32edadbf81fb;②当eqIdbfb1903b0c14499b8a7951f9c3efc3e6时,eqIdf7a6bd618bfe40d892bde13a7545ac11.若函数eqIdfb1e8240be794e139a20be9ca3905866恰有3个零点,则eqId70a27b6ddf6b478285353abb3b1f3741的最大值是(   ).
A.5B.2C.3D.4
更新:2020/08/02难度:0.65题型:单选题组卷:85
4 . 已知向量eqId99af35285e304dadb5685a66c04faacfeqId5e665eb366c64e6caec3fa3197ecb945,若eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5的夹角为钝角,则eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围是(   ).
A.eqId7c3b5772308a49b29ef1388f8d282baaB.eqId0f57d8a8d57848ea8e247addbd988d7fC.eqId3c97a3ab3812488a9e5e850a30393644D.eqIdb01893c11ede441dad1b602ece47a374
更新:2020/08/02难度:0.85题型:单选题组卷:116
5 . 已知各项均为正数的等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的前3项和为7,且eqId55ef0fc24d9b4150b5c86f7ed19514f8,则eqId157893b426ad48a99fb6940026b1e6e8(   ).
A.16B.8C.4D.2
更新:2020/08/02难度:0.85题型:单选题组卷:126
6 . 若eqId5dd0ade4267b44938f1a8bdf3cfda98e,则eqId4f0fa3121db24dab8f15beb6b6449834(   ).
A.eqIdff9d0cec4c524f00818781cbae7fca5dB.eqId5b9776561eae4f2c9c8ebc74647da317C.eqId62eff4e5932b443ebd29c070574afa79D.eqId836db6d106e440cd9e5ec0272122b7bb
更新:2020/08/02难度:0.85题型:单选题组卷:166
7 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b中,eqIdb60bb1649c8b41cb935771acc097167eeqId74affebedeff4dbb9379fbf6662d7e4eeqIdec089ed67e1a4ed0befa4748bd33b158eqIdbf4db7d066034b139ff80a09ab139d45eqId0627be51821d4be7b3e024a354815d64边的中线,eqIdbedf755e0fdb4d078d6859360706b163eqIdbf4db7d066034b139ff80a09ab139d45的中点,则eqId8c4ac981c9494e7facd474454a932da0(   ).
A.0B.1C.3D.4
更新:2020/08/02难度:0.65题型:单选题组卷:130
8 . 已知eqId93cbffaa5ae045d6ac45d1e979991c3aeqId64b9b599fdb6481e9f8d9a94c102300b的重心,eqIdbf4db7d066034b139ff80a09ab139d45eqId0627be51821d4be7b3e024a354815d64边上的中线,令eqId9f7405ab55f141789b76d3eda62dc54aeqId297e758b27a442f5a48ceb8626423133,若过点eqId93cbffaa5ae045d6ac45d1e979991c3a的直线分别交eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqIdcf2da96900c948a1b3ce7cbfd420c080eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811两点,且eqIdd39e7c6c6d9e454a9f0990b4a361936aeqIdef9f2a80b0674c298d3dbf521ce7f692,则eqIdc056368ed3924d5eaf6ba951534a47b2(   ).
A.eqIda8012d5322b240128851ebf3cd086e12B.4C.5D.3
更新:2020/08/02难度:0.65题型:单选题组卷:73
9 . 函数eqIdd4f5cc67c09d4972ac21d704bffb6bfc的图象大致为(   ).
A.说明: figureB.说明: figure
C.说明: figureD.说明: figure
更新:2020/08/02难度:0.85题型:单选题组卷:61
10 . 设eqId5918f593de7a483ebfcce17dd7f0e1bc是等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和,若eqId3a4208e0040c42ed8b09de2cae9d562e为大于1的正整数,且eqId831b83f208ee4c2da4511573b25c7133eqId799efb010cfa481b8401373692e25271,则eqIdd33c7c1015944e2b81de4ff8695de842(   ).
A.2000B.2010C.2020D.2030
更新:2020/08/02难度:0.85题型:单选题组卷:100
11 . 1626年,阿贝尔特格洛德最早推出简写的三角符号:eqId0bbead770ea649c0890745f8027a0b9beqId6cf674d85fa24359af66c9dde165c566eqIdae1ef35747ad4c03a6408c9c542535e5(正割),1675年,英国人奥屈特最早推出余下的简写三角符号:eqId21e2dbe97deb478abe974d6f313f64bfeqId352af33a9dd54a0196e834f6e181c140eqId4204bc16250e40fe8c83b484b61ba86e(余割),但直到1748年,经过数学家欧拉的引用后,才逐渐通用起来,其中eqIde176cd80b38e400aa175e20b689df437eqIdc59ec8022fcb4c00974cc61bab9e4e6f.若eqId0189d708f7b34c699c0402a4b626c2c1,且eqIde428110856fa4a53add05a0cb9f049ec,则eqIde3adf51f42674398b03c2c6ac32a57f8(   ).
A.eqId518bf73a969749a2b79c56edc699b414B.eqId721b988604cd4b2a81c3688cdaa73664C.0D.eqId628598e8fcab4468b592f6830aecd74c
更新:2020/08/02难度:0.85题型:单选题组卷:15
12 . 已知函数eqId01b0aff8e27b4d23a387b0206f25e2f2,若关于eqId8e15963708e9415da25069fea5906e24的方程eqId189e7d9823014bbf9334fed1b77ec1b3有6个不等的实数根,则eqId70a27b6ddf6b478285353abb3b1f3741的值是(   ).
A.0B.1C.6D.2
更新:2020/08/02难度:0.65题型:单选题组卷:53
13 . 定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的函数eqId6f13759e937144069819aed2ae5a1057满足eqIdd38bc86e9f6f4b05ae1a95ed87f77985,当eqId06ed3a1e3e37437b9cc61fcea4e53053时,eqIdd6c2a4773058400289f6c018aa15e630,则eqId70a651b476874cc88923891b63c973b1________.
更新:2020/08/02难度:0.65题型:填空题组卷:129
14 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,角eqIdc13953f2514e4c8f9c8aaaf5241c33ac的顶点为坐标原点,始边与eqId8e15963708e9415da25069fea5906e24轴的非负半轴重合,终边交单位圆eqId2efda802d5534f6d92d9f8af7aaec28b于点eqId112f1bd880234f5ca0959f1d9855bcb1,且eqIdec4b32743b614ab3b5172206e05595ad,则eqId6b514fd39eb74dc2ad302ff563a4dc21的值是________.
更新:2020/08/02难度:0.85题型:填空题组卷:47
15 . 平行四边形eqId5ce7a06ae7a34393b92b5277978ac014中,eqIdb60bb1649c8b41cb935771acc097167eeqId9244d0dcab2d4e348a49df61d474ae87eqIda823f31b77774018b89725f240ef25be,点eqId2381423d4cd146cab95f55527681a766在边eqId34c6b6e427744abfb88dc90b8c7c2111上,则eqId49404962d46d418aa4ff16d8963b2db5的最小值为________.
更新:2020/08/02难度:0.85题型:填空题组卷:65
16 . 在eqId0b4671382ad6491cb648fae82fdffac1中,eqIded6b918feddb428196dfec95f1c36ad1,角eqIdcc614bd3390c4d028df189b234dcc351与角eqId8754ce8cf7f34f04abb9a0c041f57f5c的平分线长分别为eqId3a4208e0040c42ed8b09de2cae9d562eeqIdf458db68122849abb588feb2e682d9ac,若eqId3a4208e0040c42ed8b09de2cae9d562eeqIdf458db68122849abb588feb2e682d9ac的等比中项是eqId2757989d3299466fa7bef053bb963406,则eqId1b4e78f551764897afd775d238ce09fa________.
更新:2020/08/02难度:0.4题型:填空题组卷:49
17 . 已知全集为eqId7dcd2312d0bf4bb1befdfcc170e45791,函数eqId3a67539e4566421585ea5ed7178061e4的定义域为集合eqIdcc614bd3390c4d028df189b234dcc351,集合eqId4ef452da764c43239f07f51774f2c288.
(1)求eqId1bb0f7a45e054675aa3699a7460a7dbd
(2)若eqIdf7ce8fa265104531bd09b78aa4336281eqIdea4d759f77cc402096413d8c574d1a5c,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
更新:2020/08/02难度:0.85题型:解答题组卷:71
18 . 已知函数eqIdfc7adce3b41a404c9bb0dcf98af9c896经过点eqId70ac33c043d64b2a8fd0be2249f7e13beqId31d39ce364544d9fa39f534ffd5c5c64,且在区间eqIdcf5e60a5168143009a42f00808b0f681上为单调函数.
(1)求eqIdf15782a6b93b49aeb4285c6f304dbe29eqId145940d03af4447eabd753d76abd2a1d的值及eqId6f13759e937144069819aed2ae5a1057的解析式;
(2)在(1)的条件下,将eqId6f13759e937144069819aed2ae5a1057的图象上每一点纵坐标伸长到原来的2倍,横坐标不变,得到函数eqId7c3fb83bd6cb402a91a35f8807b8c986,设eqIdb4eb7508c2984a798fe8aa14259a053f,求数列eqId93e38ecd74a24cb59da79181b95bfd3a的前31项和eqIdca9264e6b9bb48f1bc5b9edeeae16ffe.
更新:2020/08/02难度:0.85题型:解答题组卷:23
19 . 已知公差不为零的等差数列eqId93e38ecd74a24cb59da79181b95bfd3a,若eqId96654453374c4ababe028aa460c943d1,且eqIdd80748a60dc04eb5bc4556d4e5cad370eqIdd8783e1a9c1d473b93bd2e76ebe2442ceqId5e6aed425a3243caa7ebbefd9e13bdff成等比数列.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)设eqIdd85095493d7a422dba1a844fe067e937,数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqIdf458db68122849abb588feb2e682d9ac项和eqIddb5481de79c946c0a760143297d5eade,证明eqId05a41dfe4a724eebbd0d5fe81b2c30d3.
更新:2020/08/02难度:0.65题型:解答题组卷:106
20 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b的面积为eqId2a2768afbfb246bb9277416a10741f66,且内角eqId8754ce8cf7f34f04abb9a0c041f57f5ceqIdcc614bd3390c4d028df189b234dcc351eqId19a4eb16029e4550a14f2afe4741a3c3的等差中项.
(1)若eqId3c0663b534d9464e9bf148d03197f493,求边eqIdcf2da96900c948a1b3ce7cbfd420c080的长;
(2)设eqId0cd8063abf2b458f80091bc51b75a904eqIdcf2da96900c948a1b3ce7cbfd420c080边的中点,求线段eqId1b51efe7c2fa42748ac5a6be262e2fa4取最小值时eqId64b9b599fdb6481e9f8d9a94c102300b的周长.
更新:2020/08/02难度:0.65题型:解答题组卷:58
21 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqId505f12564cfe45a0bb28ce0060ca9e91eqId63e88ffe24f945fd9687cca590e7d56d.
(1)证明数列eqId93e38ecd74a24cb59da79181b95bfd3a为等比数列并求其通项公式;
(2)若eqId7ac1b7906050447287748d621913f0ef,求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5.
更新:2020/08/02难度:0.85题型:解答题组卷:162
22 . 对于函数eqId6f13759e937144069819aed2ae5a1057,若在定义域内存在实数eqId8e15963708e9415da25069fea5906e24,满足eqIdf0e59f1a7a194c7289f7a81031e3e69b,则称eqId6f13759e937144069819aed2ae5a1057为“仿奇函数”.
(1)已知二次函数eqId15668a232cbd4f67bd18f0431c002091,试判断eqId6f13759e937144069819aed2ae5a1057是否为“仿奇函数”?并说明理由;
(2)设eqId80d4df6524204b5c9dc56865478f2f10是定义在eqId17f90f6a17f04d9a937a2c9f884aa4b9上的“仿奇函数”,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围;
(3)若eqId7d481e9efd394722b29dfe65b8fca9f3为其定义域上的“仿奇函数”,求负实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
更新:2020/08/02难度:0.65题型:解答题组卷:25