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四川省成都市蓉城名校联盟2019-2020学年度下期期末联考理科数学试题
适用年级:高二 试卷类型:期末 试题总数:22 浏览次数:49 上传日期:2020-08-02
1 . 已知eqIdc47ae019cdf841b395311523f2bf5a85(i为虚数单位),则复数z对应点在(   )
A.第一象限B.第二象限C.第三象限D.第四象限
更新:2020/08/02难度:0.94题型:单选题组卷:5
2 . 已知集合eqId7f3f0fe0ac344d5abad8f83b25fe3343eqId57a526f3656b422998a2936020f2f7c9,则集合eqIdc7e17aac3f664408a20c2c2cbb4f5426的子集个数为(   )
A.2B.3C.4D.8
更新:2020/08/02难度:0.94题型:单选题组卷:155
3 . 已知角eqIdc13953f2514e4c8f9c8aaaf5241c33ac顶点在原点,始边与x轴正半轴重合,终边与直线eqId5db4a4f976ba42089c0439595abeb40b有公共点,且eqId6abfbed75267499ebc961d2aeee6567e,则eqIde3adf51f42674398b03c2c6ac32a57f8(   )
A.eqId7f1f28503f41439586d8e228365897e9B.eqId2b4cdf753a8746efb449b3005ed03f26C.eqId6c134c414a5e4643849c88caa4d6a5f0D.eqIddda48cced83d424b89b7d8f8c62b1056
更新:2020/08/02难度:0.94题型:单选题组卷:37
4 . 春季,某小组参加学校的植树活动,计划种植杨树x棵,柳树y棵,由于地理条件限制,xy需满足条件eqIdff7a8a17b7d24e15b2dfa1373dd50826,则该小组最多能种植两种树苗共(   )
A.12棵B.13棵C.14棵D.15棵
更新:2020/08/02难度:0.85题型:单选题组卷:23
5 . 数列eqId93e38ecd74a24cb59da79181b95bfd3a是首项和公差都为1的等差数列,其前n项和为eqIddb5481de79c946c0a760143297d5eade,若eqId92ed363a54bd4a8a93df9463bb3af1f5是数列eqIdef11d4fda2f941769ad80a20b0b21e3c的前n项和,则eqId7dd6572266f9456ba3ea0f687231bc26 (   )
A.1B.eqIdb8cd516a95494ee786e9da576f511ba8C.eqIdde0e1fec5d574e8695122bf215d22200D.eqId475ceb4c63b34607955db68749569bd1
更新:2020/08/02难度:0.65题型:单选题组卷:83
6 . 已知函数eqId2b193b5eb4d440208019235356535c72,且eqIdc58c17047cb445ed9968028707a299b2eqId2b968e5ee33e421d9ece6450c25885e9,则eqId1538a009220040e1b0e57dec54c85e4e(   )
A.eqId49b7b111d23b44a9990c2312dc3b7ed9B.eqIdfcc58431683b452ca65d1d9977a280bdC.2D.-2
更新:2020/08/02难度:0.85题型:单选题组卷:99
7 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,三个角满足eqId3d39e0e326a74e83b3b1bbe16c818531,且最长边与最短边分别是方程eqIdcf4c8cf39c5a401f924969b191e7d9fd的两根,则BC边长为(   )
A.6B.7C.9D.12
更新:2020/08/02难度:0.85题型:单选题组卷:48
8 . 运行下图所示的程序框图,如果输入的eqIdc533a56bd2ab4b38b22bf2adfca3f142,则输出的eqId8c4243d3a68d483db73d7f4203c7e940(   )
说明: figure
A.6B.7C.63D.64
更新:2020/08/02难度:0.65题型:单选题组卷:17
9 . 四面体eqId9b254df6ef9f4c07a5c74ba0d7955d3d的顶点都在同一球面上,其中OAOBOC两两垂直,且eqId43a1939da2b34a9ba2b44c72a1e05cf4eqIdaca9eb06a62d4f2e9070e8867550124a,则该球面的表面积为(   )
A.eqId9050468529364d52bb5f07ad6c942cc0B.eqId7681784440c04c469bb134c3ea9fb53aC.eqIdfceb10da8b63490dae4fdc016cf362d8D.eqId5dcc3f21683f4fb6884a864497a95032
更新:2020/08/02难度:0.85题型:单选题组卷:100
10 . 函数eqId339bf624190c45bcb94cf9b30636137beqIdbe1458080a8c442fbbc83863be99bb06上不单调的一个充分不必要条件是(   )
A.eqId1791c53933d741d98b89e5c3fbd5ac8eB.eqIdf14d5d697ec34bf78dd0d4466ad8ca53C.eqId43fc6f66d8734d8b95bedea3b8a4a9eaD.eqId17a81e9ce7a54f06807cda2b57aedb23
更新:2020/08/02难度:0.65题型:单选题组卷:80
11 . 已知椭圆eqIdfd8674e21002436f9476310a52d934ec,焦点eqId21c66a21613149768160b9b26fdec9a3eqId72dba7a4b7b4442d8226a6b7f579aa21.过eqId21c66a21613149768160b9b26fdec9a3作倾斜角为eqIdf1c3337151994ec4b99354c9d54f311c的直线L交上半椭圆于点A,以eqIdaa8f36c4909d42fdbc661f54154f5430(O为坐标原点)为邻边作平行四边形eqId85e2b0562a9b4087b540172a52c07041,点B恰好也在椭圆上,则eqIda8baf546427f47088a28c9370a3d3433(   )
说明: figure
A.eqIda2a0ce3781fa4c26b624f5966b7dee44B.eqId7bcd573cee334383ad72cc4b179fcfb3C.eqId62f2412997424b4ca41272f35d432557D.12
更新:2020/08/02难度:0.65题型:单选题组卷:42
12 . 已知eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在R上的函数,其导函数为eqIdd26cd9f8ad374ae192a20aada45c1618,若eqId9f45849564f449768154acb98604ddcaeqIdc71018606de14e3685258d2096df8b5e,则不等式eqIde2552a758817451db5c9af997b16365f(其中e为自然对数的底数)的解集为(   )
A.eqIdfe6a989a623d4e69bd402eb92f4aae25B.eqIddca4c31f92e1447fb6eceb9fdf294175
C.eqIdc92054bb44b74c3292c3925b2c288218D.eqIdaae462a525054796b59f6f6069478c76
更新:2020/08/02难度:0.65题型:单选题组卷:47
13 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线C的参数方程为eqId3c22fb04ad4442d39a0d6b444f40bd34(eqIdf9db0aee08264a238b9741675591065e为参数),则曲线C的普通方程为____________.
更新:2020/08/02难度:0.94题型:填空题组卷:3
14 . 已知一组数据eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9baeqId2b48ba4c6112492987d51b451a7088c8eqId24d0f52a3fbe4f3d8d51646f9d4b9eb5eqId87e703f7719545a7b27694fbb571a6f5eqId654e610e065443f389f7b38f1b424a55eqIdf7d6a8dd839b44869ca62f0f181626b7eqIdc85cda1b712d4b9daf7dd128df95b8d0的方差为2,则eqId881976d616ba489b9b4a36db9e95b259eqId762fc5b4a246402c81ac2becf76e0234eqIdc480dcf693ee40cbbd4160f838e75128eqId2ce5307f332d4c7eb3d4e85c77ad6330eqId012495d0d4974ae48a6ceb19c1c08f74eqId0a5d3a4baf3343f3937865a47caf70b0eqId848886dcf9644abc811630998c7fe0a1eqIdaea16972f6e24ab0b0e9fd17c8ba0beb这组数据的方差为____________.
更新:2020/08/02难度:0.94题型:填空题组卷:13
15 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知点eqIdea0acc21679e4677ac949eee5daf68e4eqId6f417c44c1e74c8a89ca068bfe3595a7eqIdd794a273d8f645c78e721c0d09d483c1eqId63b93b14e8ea45e29d9002149063adf1,现在矩形eqIda98d2ac4b9664e1ca9505caa4d80717e中随机选取一点eqId8368db5fd16b4b61b0c8a03836b7338c,则事件:点eqId8368db5fd16b4b61b0c8a03836b7338c的坐标满足eqId0ebe327f15ed453c82d30ca4b637859b的概率为____________.
更新:2020/08/02难度:0.65题型:填空题组卷:6
16 . 已知双曲线eqIdca9bbb19cd4b49ae8f45dbf75ce5374c的左右焦点分别为eqId5f04473e64c141bcbe9b0a8af27f4aa8,点eqIdbedf755e0fdb4d078d6859360706b163在第一象限的双曲线eqId19a4eb16029e4550a14f2afe4741a3c3上,且eqId5771ca52f0234a9eb80e8039954ed6a5轴,eqId4cd2c77f45b74c709061330d26be4e39内一点eqId2381423d4cd146cab95f55527681a766满足eqIdb3a48f791f4840e9b258c9a7efe10134,且点eqId2381423d4cd146cab95f55527681a766在直线eqIdbd7573e1dfa74982ae46a8861bdd1f50上,则双曲线eqId19a4eb16029e4550a14f2afe4741a3c3 的离心率为____________.
更新:2020/08/02难度:0.65题型:填空题组卷:19
17 . 已知函数eqId8010955163a94f3688bdee41ec468042,其导函数为eqIdd26cd9f8ad374ae192a20aada45c1618,不等式eqId176e362fc53f4c9f8f73ad75d2e46569的解集为eqId60873f7578974733b715e7122adab8fd.
(1)求ab的值;
(2)求函数在eqId3a38395f01e941a8ba443c73b054ff57上的最大值和最小值.
更新:2020/08/02难度:0.85题型:解答题组卷:40
18 . 今年5月底,中央开始鼓励“地摊经济”,地摊在全国遍地开花.某地政府组织调研本地地摊经济,随机选取100名地摊摊主了解他们每月的收入情况,并按收入(单位:千元)将摊主分成六个组eqId6c13641d2f3844629a516f17e8b996cdeqIdd482f8f89df14f14b1e56bedd943d0e8eqIdd2207b62868247818eb87584ad7263d1eqIdbe476ac2cd8245368f708ae9d95519b5eqId297b43aa509b420a93b125f080ff92c7eqIde66e8d1a7fce40a09125a8196da17bfd,得到下边收入频率分布直方图.
说明: figure
(1)求频率分布直方图中t的值,并估计每月每名地摊摊主收入的中位数和平均数(单位:千元);
(2)已知从收入在eqId1bec15f8fc2544e687177d0675092867的地摊摊主中用分层抽样抽取5人,现从这5人中随机抽取2人,求抽取的2人收入都来自eqIdd2207b62868247818eb87584ad7263d1的概率.
更新:2020/08/02难度:0.85题型:解答题组卷:41
19 . 如图,矩形eqId5ce7a06ae7a34393b92b5277978ac014中,eqIdb60bb1649c8b41cb935771acc097167eeqId513b964714c8461baad486d3ad4ead9c,点E是边AD上的一点,且eqId1e628f145c4d416cab947c26ff904169,点HBE的中点,现将eqId7ad7a82e0b5e414991c43a0bbb3b1db1沿着BE折起构成四棱锥eqIddb6764f36afd442599c4b6d80c0b3cdeM是四棱锥eqIddb6764f36afd442599c4b6d80c0b3cdeAD的中点.
说明: figure说明: figure
(1)证明:eqId5347567b987e4247a4eeb50649fb4d18平面eqId89fbdcb029be4482b52165366491c70f
(2)当四棱锥eqIddb6764f36afd442599c4b6d80c0b3cde体积最大时,求二面角eqIddd82a56b732540a59e04a3e78038db24的余弦值.
更新:2020/08/02难度:0.65题型:解答题组卷:65
20 . 已知椭圆eqIdfd8674e21002436f9476310a52d934ec的左右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,若点eqIdc1b267361fd743e99f21ef45fece4ad1在椭圆上,且eqId43ef380dd6784f6f838c6ce9223a67e3为等边三角形.
(1)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
(2)过点eqId0aa72756ed0c4c7a89f26aa94f43e47d的直线eqId417e80f1349244878d01fe90e0891f5f与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,若点eqIdde963a24921f4ee7a991bf9d4f43a42e在以eqId996e2048847f41d5a5fe0e2282909254为直径的圆外,求直线eqId417e80f1349244878d01fe90e0891f5f斜率eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
更新:2020/08/02难度:0.4题型:解答题组卷:35
21 . 已知函数eqId82d7971f9eb64a8dae51c9965d6a8272.
(1)当eqIdd78df7c3aa4747a4b868757aa0e4e3f5时,求曲线eqId9b37d03e47a347fc8fab9f814ba5fac4在点eqIdc0f400cfe05f49df835ff7e6d8f65a22处的切线方程;
(2)当eqId316e2199840e418e87252dba1d7d7ffd时,求函数eqIdbf020ce1e62d4c9d809e07328e89c1d2的单调区间;
(3)当eqId0be4e678c13c4855b0d3f5c45188da09时,函数eqId1942541e3e0c43ac97fcf12200fe70a2的图像与eqId9b37d03e47a347fc8fab9f814ba5fac4的图像关于直线eqIdc2312366ddd24e93aba87bc14ee248f0对称.若不等式eqId50b94e0d6bcb461a81125017e66992c3eqId2d569479cd1c43c1af15895792b64db6恒成立,求实数k的取值范围.
更新:2020/08/02难度:0.4题型:解答题组卷:17
22 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqIdd45eeb170a594cafa9e1a82b7b0be164(t为参数)以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程为eqId1aaa9a81206d4803990cbd9ab7c423ae.
(1)求曲线C的直角坐标方程;
(2)已知点eqId866df947be9c43569c76add84305b2ca,若直线eqId417e80f1349244878d01fe90e0891f5f与曲线C相交于MN两点,求eqIdcc59e0a0884c41b4a325cf8a39bae665的值.
更新:2020/08/02难度:0.85题型:解答题组卷:42