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山西省临汾市2020届高三下学期高考考前适应性训练考试(一)数学(理)试题

适用年级:高三试卷类型:月考试题总数:23浏览次数:0上传日期:2020/3/26
1 . 设复数eqId2cd9e2fe3d6540df9399dbefe49ada54满足eqIdca47d0e119364a5e8d316d86c8eed064,则eqIdc4f6339df5e94be1af1552f2b014e86b(   )
A.eqId1662454d4aa84bb48aa0983fac421596B.eqId3332b3b098ff498d9868c4c7e0324c56C.eqId461b6d98e4704055b248dc9e438162ddD.eqId39d7516da02b404db891597830b2085f
难度:0.94组卷:0题型:单选题更新:2020/3/26
2 . 已知集合eqId2ec9a734227f49b29911afa34cd664c2eqIdf3422e6e5b354086aaec94b0a6b40f81,则eqId170a03e31a0e4656b66452088e998e61(   )
A.eqIdfdd587166d504886bf530815537a16daB.eqId08328724fb394437aa51bf01b736a122C.eqIdb894a0d7173a456a86bb91cfccc6429bD.eqId30c8c5c193c64ed6b8128fc738c55baf
难度:0.94组卷:0题型:单选题更新:2020/3/26
3 . 已知等比数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId02c2acb960414574ba8c80ca8a4fdd51,则eqIdec15b069a63a4c5fb3a6606336bb1b1a(   )
A.eqId4e2a05e4ed5345bfa9b26d9fbd866b59B.4C.eqId767acf51abfd4d97a757561d1a882151或2D.eqId4e2a05e4ed5345bfa9b26d9fbd866b59或4
难度:0.94组卷:0题型:单选题更新:2020/3/26
4 . 一个路口的红绿灯,红灯时间为30秒,绿灯时间为30秒,绿灯时方可通过,则小王驾车到达该路口等待时间不超过10秒的概率为(   )
A.eqId3e866ebc4a57441386a76af413247f0eB.eqIdad04b6cca48b47cdbd0d239142650251C.eqIda8012d5322b240128851ebf3cd086e12D.eqId5f51ce9cc7fe4412baeb871cceb26665
难度:0.85组卷:0题型:单选题更新:2020/3/26
5 . 用单位立方块搭一个几何体,使其正视图和侧视图如图所示,则该几何体体积的最大值为(   )
figure   figure
A.28B.21C.20D.19
难度:0.94组卷:0题型:单选题更新:2020/3/26
6 . 函数eqIdbaa1e7661a5c4deea9e8c4d9663a4eb3,的大致图象是(   )
A. figureB. figure
C. figureD. figure
难度:0.85组卷:0题型:单选题更新:2020/3/26
7 . 若eqId033c6c167e674ae4806af582f3101ff3,则(   )
A.eqId2b09921788f943369b8b2d69257fdda4B.eqId96f25c3294b2457ca92c563e42cd8713C.eqIdd267db4f512541f8825f9d0ff4192c96D.eqId0b6548a2f82b4900bf8b5c24afd5ed7a
难度:0.65组卷:0题型:单选题更新:2020/3/26
8 . 如图所示的程序框图,它的算法思路源于我国古代的数学专著(九章算术),执行该框图,若输入的eqIde139ebeac965453ca8325c7969a3393aeqIdfccc924ee662483ebd033766d05fd4c6,则输出的结果为(   )
figure
A.2B.6C.8D.12
难度:0.85组卷:0题型:单选题更新:2020/3/26
9 . 已知双曲线eqIdceed1a7797e443d9abdce2f0c8179d8e的右焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,若过点eqId63db14a5b4334f3ea583c8fb12b0d175且倾斜角为45°的直线与eqId19a4eb16029e4550a14f2afe4741a3c3的右支有且仅有一个交点,则eqId19a4eb16029e4550a14f2afe4741a3c3的离心率的取值范围为(   )
A.eqId529f459f3bf547dc8e90c2f4b851ea79B.eqIde30513b0757e4010958954d4b8d6e9e5C.eqId931cfc27c23f4d03b5f14970b507b2ffD.eqId2dbc28f1ee944d9f80138d16f175ae25
难度:0.94组卷:0题型:单选题更新:2020/3/26
10 . 已知直三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,eqId0ad96059c71d40d98f7b5586be4f0151eqId93cbffaa5ae045d6ac45d1e979991c3aeqId1ed5c9a541554ff2bbacbddf4d0638c6上任意一点,eqId434062189e2f4ae3b1c33cd2dad9b723,则三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43外接球的表面积为(   )
A.eqIdf9928aee4e6143ea9ef49574102ca49bB.eqId5c266efbf3414de1a1d1e2d3553a9c42C.eqIdabbd9b968fcc404d8d17d5d18af44c86D.eqIdc12500d69e0342b3be4db149b0244a7a
难度:0.65组卷:0题型:单选题更新:2020/3/26
11 . 已知函数eqId3a1641b60e0442c99289d90d5573ed93的最大值为eqId2644c4fd7d684e75ae5ed93cb3581244,当eqId6f13759e937144069819aed2ae5a1057的定义域为eqIdf2ef0bdb99874b77b25cfe7de9d7ddbc时,eqId6f13759e937144069819aed2ae5a1057的值域为eqIdd76c6b3d82744ff1ad2f43f48b7f713c,则正整数eqIdf15782a6b93b49aeb4285c6f304dbe29的最小值为(   )
A.3B.4C.5D.6
难度:0.65组卷:0题型:单选题更新:2020/3/26
12 . 已知eqId6f13759e937144069819aed2ae5a1057是定义在eqId176a569ddabd4e4482d9ab5af6e2d6ea上的可导函数,满足eqId8c68783f378c4e4e823caa1b960cee25eqId6ced4836f5334444be06443a2072b96d,则不等式①eqIdae0ff1af864d4fe9953f7289da805944,②eqIdaef9c923a803443db8d116e3195a54cf,③eqId46ba2b7ad58a4895a787b8a588f35358,④eqId97e498045fbf41c395d5d0478b26916a中一定成立的个数为(   )
A.1B.2C.3D.4
难度:0.65组卷:0题型:单选题更新:2020/3/26
13 . 已知向量eqId39e725fa4ece4fe1a1839819680775ba,若eqId50a81a73ee834e1f81e63b094a9b00f8eqId8d1efe96e93a4f5d932f0c9616581706垂直,则实数eqId43030e1d3ce84bd395f1afe81562fea7________.
难度:0.94组卷:0题型:填空题更新:2020/3/26
14 . 已知eqId7325f59d822c4c318b79153587a4f903满足约束条件eqId243c8a40b19c42e3a3d2d8805c81866deqId9c92075169a24146b27ad6f4ff2706f9的最大值为___________.
难度:0.94组卷:0题型:填空题更新:2020/3/26
15 . 已知eqIdee6c95aff05949eea0cb71487c8a7b92eqId152eeca3e8154f6f8e873b8d6617733d,则eqIda10d5084bef743be9bb914b7271bc776的值为________
难度:0.65组卷:703题型:填空题更新:2020/3/26
16 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqIdb1f053526fd24f2cb1d31edb2e21f253,其前eqIdf458db68122849abb588feb2e682d9ac项和eqIddb5481de79c946c0a760143297d5eade满足eqIde8ce665592c5419a9b34f37220e372f0,则eqId38e7aab9632e418f8d07479b236353ec_______.
难度:0.4组卷:0题型:填空题更新:2020/3/26
17 . eqId64b9b599fdb6481e9f8d9a94c102300b的内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4的对边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a已知向量eqId9266e24419d64311ba058018b34956cbeqIdbcf55f20f3c9439db6a7c7cf729ca39f共线.
(1)求eqId8754ce8cf7f34f04abb9a0c041f57f5c
(2)若eqId25b656c733474b958f42ad2e43ff7c43,求eqId64b9b599fdb6481e9f8d9a94c102300b面积的最大值.
难度:0.65组卷:0题型:解答题更新:2020/3/26
18 . 如图,四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,eqId51f3ec023aab4a4ca875aaacec8ee06b为等边三角形,eqId964709232053478d9c70c19fc9c8225c,且eqId1277bf6b7257410187f6611a9f6dc6f8.
figure
(1)求证:平面eqId3084aa1e379e4f168e9c2332df2ca9df平面eqId5ce7a06ae7a34393b92b5277978ac014
(2)求二面角eqId8fefb1ef690f40d4b9543481e893f78d的余弦值.
难度:0.65组卷:0题型:解答题更新:2020/3/26
19 . 某控制器中有一个易损部件,该部件由两个电子元件按图1方式连接而成.已知这两个电子元件的使用寿命(单位:小时)均服从正态分布eqId59cbf1b499a14fcbba7031616d58c42c,且各个元件能否正常工作相互独立.(一个月按30天算)
figure    figure
(1)求该部件的使用寿命达到一个月及以上的概率;
(2)为了保证该控制器能稳定工作,将若干个同样的部件按图2连接在一起组成集成块.每一个部件是否能正常工作相互独立.某开发商准备大批量生产该集成块,在投入生产前,进行了市场调查,结果如下表:
集成块类型
eqIdbedf755e0fdb4d078d6859360706b163
成本eqId19a4eb16029e4550a14f2afe4741a3c3
销售金额eqId1b7d8b87b50e4cfdbf89d48980209a52

eqId3af39c2ac1e14e4e885ab048394c9455
eqId4d4d0392344c4766ac5f8ef792f8e964
eqId51dbcd224acc4f0682cd1b68943a9238

eqId336e5473530744f886b10ea69c71fbfd
eqId3b60b6d8ed744185856faf33529c5f45
eqIdeaf4b4f5816b4eec945dfe3c37049783

eqId435850bac34e45db97ea5691208a64f9
eqIdafd9ae12f8584e69829a6f55b193d2d5
eqIdb69a8ab9cfec4da3b5e3baffdb35622a
 
其中eqIdbedf755e0fdb4d078d6859360706b163是集成块使用寿命达到一个月及以上的概率,eqIdf458db68122849abb588feb2e682d9ac为集成块使用的部件个数.报据市场调查,试分析集成块使用的部件个数为多少时,开发商所得利润最大?并说明理由.
难度:0.65组卷:34题型:解答题更新:2020/3/26
20 . 已知圆eqId723dff27990e48669e3cf0394fbf46adeqIdbedf755e0fdb4d078d6859360706b163eqId93cbffaa5ae045d6ac45d1e979991c3a上任意一点,eqIdf7178446930740878b8e0b1eecd29e84eqId7b71ac6238b649bba16fd5463c7b0b56的垂直平分线交eqId9608739a1d8547df8df8461d80f9f5f2于点eqId92869ac114124367b45f631d030ed6bd,记点eqId92869ac114124367b45f631d030ed6bd的轨迹为曲线eqId19a4eb16029e4550a14f2afe4741a3c3.
(1)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)已知点eqIdb50dfed7667d40178a48b6e63104fb64,过eqId48b9f5882b8342cb82f189fe6e5bf3b7的直线eqId417e80f1349244878d01fe90e0891f5feqId19a4eb16029e4550a14f2afe4741a3c3eqId71891062a8724584af9a2c4c77cd566e两点,证明:直线eqId859d4df1f79340d8842bd7d9fa8dfa49的斜率与直线eqId12f49422de1740e398df65e5e792e6ad的斜率之和为定值.
难度:0.65组卷:0题型:解答题更新:2020/3/26
21 . 已知函数eqId0fe4ef69eedf48e7a1ea416e544d14fd.
(1)讨论eqId6f13759e937144069819aed2ae5a1057的单调性;
(2)若存在实数eqIdca06d7ef3b984e8c8fb8f7d217749d05,使eqId0a3efe3cf15b41f3931b24a6b9af2443,求实数eqId70a27b6ddf6b478285353abb3b1f3741的范围.
难度:0.4组卷:0题型:解答题更新:2020/3/26
22 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqId7788f64e1fbc43d89e55da1ac43f029d,(eqId32454977564e4ee18da36bd51156c509为参数).以坐标原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqId8e15963708e9415da25069fea5906e24轴的正半轴为极轴建立极坐标系,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqId782763277cc64235a36d31dedce8fceb.
(1)求eqId417e80f1349244878d01fe90e0891f5f的普通方程及eqId19a4eb16029e4550a14f2afe4741a3c3的直角坐标方程;
(2)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3上的点eqIdbedf755e0fdb4d078d6859360706b163eqId417e80f1349244878d01fe90e0891f5f距离的取值范围.
难度:0.85组卷:95题型:解答题更新:2020/3/26
23 . 已知函数eqIdccd848466763471b923f468b91d60a6e
(1)当eqIda08ce385279d41c789695fb651b17890时,求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的最小值;
(2)当函数eqId4837c94ef0ff4dcf9b1dda4df363275a的定义域为R时,求实数a的取值范围.
难度:0.65组卷:237题型:解答题更新:2020/3/27
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