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2020届全国100所名校最新高考模拟示范卷高三理科数学模拟测试试题(三)
适用年级:高三 试卷类型:月考 试题总数:23 浏览次数:92 上传日期:2020-05-23
1 . 复数eqId618821e0890243c0a649160bc4c0e8c1eqIdb6e15e51d29a47a7aff44f98b1aafaee为虚数单位)在复平面内对应的点位于(  )
A.第一象限B.第二象限C.第三象限D.第四象限
更新:2020/05/23难度:0.94题型:单选题组卷:154
2 . 已知全集eqId48efa6ad182346abaa6b6cc6e4114b81,集合eqId88ac01ccc7ca437c982f1e9f212435beeqIde35022104ac04098816ae38e7addfa76eqId6b21975b98bc47e2a5dae69d437c0730(   )
A.eqIde327c47000b04c6daee727c47be19120B.eqId92e73e2b41904318ab5e3d5894a91e80C.eqId176a569ddabd4e4482d9ab5af6e2d6eaD.eqIdd24d16adf82749f2bba9ed400bbc91a6
更新:2020/05/23难度:0.85题型:单选题组卷:161
更新:2020/05/23难度:0.85题型:单选题组卷:148
4 . 中国古典乐器一般按“八音”分类.这是我国最早按乐器的制造材料来对乐器进行分类的方法,最先见于《周礼·春官·大师》,分为“金、石、土、革、丝、木、匏(páo)、竹”八音,其中“金、石、木、革”为打击乐器,“土、匏、竹”为吹奏乐器,“丝”为弹拨乐器.现从“八音”中任取不同的“两音”,则含有打击乐器的概率为(   )
A.eqIdea875dfdb2d344b586872fc5ee79b4f4B.eqId8e0ca44d1c1e40d086bf6c8b323c4bfdC.eqId4044afd9b201400fb2a0d75851d7e00bD.eqId7c98f34b1960465fb918fa701b1c9ee7
更新:2020/05/23难度:0.85题型:单选题组卷:129
5 . 已知不同直线eqId417e80f1349244878d01fe90e0891f5feqId3a4208e0040c42ed8b09de2cae9d562e与不同平面eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159,且eqId2a253cf8611b4935a0594a0cf1843a50eqIdbf147ce68c14400e89c3fd1ada97f72e,则下列说法中正确的是(   )
A.若eqIdd80209f32d0945f7a14a286b64d35d96,则eqId08e2037713484c1186eee8ab95cf1e8dB.若eqIdf480d8cc26064a1fabcd202b5b2c9f6c,则eqIde6897795befd4e2a804b71ca3f11dc91
C.若eqId97b940c602484c649e9ad24e27f68c77,则eqIdf480d8cc26064a1fabcd202b5b2c9f6cD.若eqIdf480d8cc26064a1fabcd202b5b2c9f6c,则eqId75becdb8e03a4669b491dd3c7c503418
更新:2020/05/23难度:0.85题型:单选题组卷:122
6 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,若eqId2f390bf9dce24ffbbdb2623cb25034ca,则eqId0f6dd90f3cbe43eca2565cd5366edfcf(   )
A.eqId57b3d7f61b5e48a1a1c959fa66d74726B.eqId767acf51abfd4d97a757561d1a882151C.eqIde41289c7307b48bd893a195b321d250fD.eqId231e56cfb91a489890b9c771c5aad8e9
更新:2020/05/23难度:0.85题型:单选题组卷:303
7 . 已知eqId9912d128b1c141e6906a1521cb125bf0eqId0c6bf1f365b54cf980fa99d1d96fb7d2eqId4a3c5a2a4a64404c82379825fe32f32b,则(   )
A.eqId45615ef0900647268b98d1d5eeb28a58B.eqId0d0cc8a6003c4e21bacd608a53c711cfC.eqId2cf6c501fcaf451c89bbbe8a7b5da7adD.eqIde20b3cdceb054975bbbb3a4598602baf
更新:2020/05/23难度:0.85题型:单选题组卷:0
8 . 已知边长为4的菱形eqId5ce7a06ae7a34393b92b5277978ac014eqIda9e10d8db4f348798eb3696a82d8a8e6eqId2381423d4cd146cab95f55527681a766eqId34c6b6e427744abfb88dc90b8c7c2111的中点,eqId517584fed25c413ba8b7bb33ffa2d5c6为平面eqId5ce7a06ae7a34393b92b5277978ac014内一点,若eqIdf533487740c04d4287fe90a34168d88e,则eqIdade3e120ecf64e1b88169b3b9ca5c3e5(   )
A.16B.14C.12D.8
更新:2020/05/23难度:0.65题型:单选题组卷:212
9 . 已知eqId144eff5c0e4649138a21f2b1b6a06907是定义在eqId38a1a72a865d4179b3b243977e23dce4上的奇函数,且当eqId2d569479cd1c43c1af15895792b64db6时,eqIddef858e6b363457fbbf2442cc6e15b73.若eqIdd1ed1dcc68014a1480eab590e48decde,则eqId75485f8d4cb743b1a081e94522f5b2c5的解集是(   )
A.eqId34477396a238473ba152645204a4986bB.eqId6f787b482bf14045b940a22f4ef1562f
C.eqId0bef18607fc641789d4e0fc3a3d07cabD.eqIda263dab9ec124c14837a5a866d7519e9
更新:2020/05/23难度:0.65题型:单选题组卷:138
10 . 将函数eqId920da81281884696ab6a5a2529d5dfc0的图象先向右平移eqIdf930a7cdc1294d03a4a23e13e916ba40个单位长度,在把所得函数图象的横坐标变为原来的eqId4ef3497454eb49f4a6e03967e46301d7eqId20ffb594aa174423aca5d5dd19afcc6d倍,纵坐标不变,得到函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0的图象,若函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0eqIdf8991159dfe14bddb85dc07ed224947e上没有零点,则eqIdf15782a6b93b49aeb4285c6f304dbe29的取值范围是(    )
A.eqId8d7cebcd33e94e92a9954d4c6a1e4d4dB.eqIdb44f9218285b4f54b971f1434c5375f6
C.eqIdc4352580611140b997caa50237d15850D.eqId3ff1624efe59490b818b790ffcae8fa5
更新:2020/05/23难度:0.4题型:单选题组卷:999
11 . 在三棱锥eqId12175c05cfe240a0b8270ee03df1962f中,eqId740fc6b7ceed4e1893a4e8b4389430d3eqIda6da4d7fbf2b4bffb4bb0d9596e25df2eqIdb1264d334b874eb29ab56a5bf884c764eqId45eb1d7f8f50436b98354d1c032cc91e,点eqIdbedf755e0fdb4d078d6859360706b163到底面eqId89fbdcb029be4482b52165366491c70f的距离为2,则三棱锥eqId12175c05cfe240a0b8270ee03df1962f外接球的表面积为(   )
A.eqId5c266efbf3414de1a1d1e2d3553a9c42B.eqId9e30c156264944b099b45a8fdab3da9fC.eqIdfceb10da8b63490dae4fdc016cf362d8D.eqIde36506e829e6480e9753236520e2af52
更新:2020/05/23难度:0.65题型:单选题组卷:137
12 . 已知抛物线eqId619f07b3a80c4561afe8be6de240e581的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,过焦点的直线与抛物线分别交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,与eqId072d7d6b911b42bc89207e72515ebf5f轴的正半轴交于点eqId1b7d8b87b50e4cfdbf89d48980209a52,与准线eqId417e80f1349244878d01fe90e0891f5f交于点eqIdf8ef9ec340b848fc8802eec4cf1a8b89,且eqIdaf8c3ddcd2f24c4e88f5b5bea1c8ff13,则eqId8668e7b0593743858dfd709fb941bbb2(   )
A.eqIdaf22e0e393474044907f7074dad72e76B.2C.eqId757fa3a8e0bc4df9bd2f30045051a231D.3
更新:2020/05/23难度:0.65题型:单选题组卷:110
13 . 若变量eqId8e15963708e9415da25069fea5906e24eqId072d7d6b911b42bc89207e72515ebf5f满足约束条件eqId0e912faaf6a2454bb9d1665c08674b9f,则eqIdf3db6bb21e39479e95afda91e10442dc的最大值为__________.
更新:2020/05/23难度:0.65题型:填空题组卷:76
14 . 甲、乙两人同时参加公务员考试,甲笔试、面试通过的概率分别为eqId170361f2c13a48679439924a405d8282eqIddda48cced83d424b89b7d8f8c62b1056;乙笔试、面试通过的概率分别为eqId5f51ce9cc7fe4412baeb871cceb26665eqId767acf51abfd4d97a757561d1a882151.若笔试面试都通过才被录取,且甲、乙录取与否相互独立,则该次考试只有一人被录取的概率是__________.
更新:2020/05/23难度:0.85题型:填空题组卷:315
15 . 已知双曲线eqId0f14428848fa4e8cbdaccdcb9711090d的左焦点为eqId2484962fbde34f959f371767ae7dcfd0eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c为双曲线上关于原点对称的两点,eqId211ab513a02842808eee31b029297b06的中点为eqId7412be7a456647e695421020b620936eeqId91a3a60f05ba4520a4dfd21420cf28ca的中点为eqId06e60c1a2261437ba646a9bc18a212b1eqIdfb453f04100841d9a91106c6dff6b484的中点为eqId92869ac114124367b45f631d030ed6bd,若eqId23a35d1fa72441f39e040e78d76c4d62,且直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3的斜率为eqIdfc2bc31fcbdf4db399efd669abc4d214,则eqId0f9b3dfa8dbc4a0fbffebba6ff4da373__________,双曲线的离心率为__________
更新:2020/05/23难度:0.65题型:双空题组卷:156
16 . 已知函数eqIde135c252af1a4db0aabeef7cedee5900,若在定义域内恒有eqId0836c1003605494a89734a73b75e144c,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是__________.
更新:2020/05/23难度:0.65题型:填空题组卷:174
17 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的公差eqIdbced0b9ac0b043ceb5dea8bec65b3b89,且eqId75691f28a5bb4c8287401017aa3a2d29eqId0509add794484602a2c710f41d9ddddceqId310274b5ffe34ad58a069683d0dac787成等比数列.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)设eqId000bf1965cea436abd8ebc1df3ad2cf6,求数列eqId7463ac5c573d4f0fb0aa7dcc4e8eb2f4的前eqIdf458db68122849abb588feb2e682d9ac项和eqIddb5481de79c946c0a760143297d5eade
更新:2020/05/23难度:0.85题型:解答题组卷:315
18 . 在四棱柱eqId588284d93dc5489295f8f224f8e30d13中,底面eqId5ce7a06ae7a34393b92b5277978ac014为正方形,eqId23145600e11c4237b2911673d7cfca99eqId2ad605d92c1343a890db891bdfa37813平面eqId5ce7a06ae7a34393b92b5277978ac014
figure
(1)证明:eqId76957423932f44258f8e296fc60c057d平面eqId7aa687ab89724f9fbba8451fabeec5c0
(2)若eqId5db40feca86243b2ac61edaf7519a104,求二面角eqIdad00dadca6bc41c693cef554e9186ef3的余弦值.
更新:2020/05/23难度:0.65题型:解答题组卷:121
19 . 金秋九月,丹桂飘香,某高校迎来了一大批优秀的学生.新生接待其实也是和社会沟通的一个平台.校团委、学生会从在校学生中随机抽取了160名学生,对是否愿意投入到新生接待工作进行了问卷调查,统计数据如下:
 
愿意
不愿意
男生
60
20
女士
40
40
 
(1)根据上表说明,能否有99%把握认为愿意参加新生接待工作与性别有关;
(2)现从参与问卷调查且愿意参加新生接待工作的学生中,采用按性别分层抽样的方法,选取10人.若从这10人中随机选取3人到火车站迎接新生,设选取的3人中女生人数为eqId86c70780eab347ccb2043d1d7bc9ed96,写出eqId86c70780eab347ccb2043d1d7bc9ed96的分布列,并求eqId5c8997e86f054e5eb65013347a7e3d28
附:eqIdaf02214477304ce59f00333d8d0e3228,其中eqId754c3c713caf47498134c63776d19032
eqId92b15c087444448e9d4ae9fa8aa6e440
0.05
0.01
0.001
eqIdaf3c3fd2a9a145b49b01d055c2cb8379
3.841
6.635
10.828
 
更新:2020/05/23难度:0.65题型:解答题组卷:151
20 . 已知函数eqId2569f8e46f9744638f702e590671bb7d
(1)当eqId494a74ef9f9d4ff7a1764548e2dbf9cbeqIdf035b8f27d4645bb9f6a66f4a3f51918为自然对数的底数)时,求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的极值;
(2)eqIdd26cd9f8ad374ae192a20aada45c1618eqId9b37d03e47a347fc8fab9f814ba5fac4的导函数,当eqId982da3835b7946d999cc8604a2ece266eqIdeea2d16134f445b7ae77885d08616db0时,求证:eqIdb7258e02eee5429cb15743fc9e3a97f6
更新:2020/05/23难度:0.65题型:解答题组卷:176
21 . 如图,椭圆eqId211c15b061ee47039dccbca908ea32b4的左、右顶点分别为eqId346946f1395a41008d3b3b56c9ae4fbdeqId894f8d53415741dea8f7a841c68384d1,上、下顶点分别为eqIde660daa143d5431e96530c61b610d572eqId01ad4ec8cf0543da939adaa52264b614,且eqId9f68c4f981a74dc3a4c330c282a70130eqIdcdf2138696f14d1cade9d7c2dceb1859为等边三角形,过点eqId8ee3687f973c472aa424869ab39903eb的直线与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3eqId072d7d6b911b42bc89207e72515ebf5f轴右侧的部分交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点.
figure
(1)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
(2)求四边形eqId26d1a12f3e9949ba86f7ead780095fe1面积的取值范围.
更新:2020/05/23难度:0.65题型:解答题组卷:118
22 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,以坐标原点为极点,eqId8e15963708e9415da25069fea5906e24轴正半轴为极轴建立极坐标系,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的参数方程为eqId2da80321aa384678905ef833d2a01b2ceqIdf9db0aee08264a238b9741675591065e为参数),直线eqId417e80f1349244878d01fe90e0891f5f经过点eqIdac8e77b592b647a1bc07c6bb9f39d3d7且倾斜角为eqIdc13953f2514e4c8f9c8aaaf5241c33ac.
(1)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程和直线eqId417e80f1349244878d01fe90e0891f5f的参数方程;
(2)已知直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdeb53cb7cb0274f7d8f111c60f824c243,满足eqIdcc614bd3390c4d028df189b234dcc351eqIdb63ccadd9d1348f7a45824d5e1c38891的中点,求eqId1da26c758da347eba9349df370d6c20f.
更新:2020/05/23难度:0.65题型:解答题组卷:440
23 . 设函数eqIdab39d85915ca4004b614b54cf5f94209
(1)当eqId316e2199840e418e87252dba1d7d7ffd时,解不等式eqId49cd8de9315541788c30259367d0b4a9
(2)设eqId87e51907ebca432ba6a292fabb016ff2,且当eqIde2aef59bc16b4635823b2281ec4e98b0时,不等式eqIdb2a47d4407ca4f0aa1043a4e3bd7ad4b有解,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
更新:2020/05/23难度:0.65题型:解答题组卷:89