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2020年重庆市渝西九校2020届高三(5月份)高考数学(文科)联考试题
适用年级:高三 试卷类型:其他 试题总数:23 浏览次数:37 上传日期:2020-08-01
1 . 已知集合eqIdb5c6a9bd47f24c6aaf0891be1a73d80ceqId0b94f02bab0940f4a17dc804acc67d0b,则eqId170a03e31a0e4656b66452088e998e61(   )
A.eqId9cd751ffa2ff4534ba236868e58393f3B.eqIdfcadea3a16bd42b7a49c0597131071e0C.eqIdf8f7382000ed45ed818b412086044e0cD.eqId9f61835d82b64d28b087df9b14337b96
更新:2020/08/01难度:0.94题型:单选题组卷:159
2 . 若z1=2﹣3iz2=3+2i,则(   )
A.z1+z2的实部为1B.z2iz1
C.z1+z2的虚部为1D.z2=﹣iz1
更新:2020/08/01难度:0.94题型:单选题组卷:10
3 . 若双曲线eqId41186656ef5e41d39fa3efdfa488b34a的离心率为eqIda2a0ce3781fa4c26b624f5966b7dee44,则C的虚轴长为(   )
A.4B.eqId7bcd573cee334383ad72cc4b179fcfb3C.eqIdcb0b4d348f474513aaf4718b21559f01D.2
更新:2020/08/01难度:0.94题型:单选题组卷:64
4 . 已知函数eqIda2cb5c9a802648339dc400fe2c6192ea,则eqId4cc3da8d60a6412ab2cf7c8f454f714d(   )
A.eqId3c07fb04405c4082849a972e555dfd99B.eqId673097066fce4bd984112a83ad6579eaC.eqId40190ef69de54b5392465be6228d1fcaD.eqId08a9391c090b479bb53aee71dd1d150c
更新:2020/08/01难度:0.94题型:单选题组卷:99
5 . 若通过10组数据eqIdbfe4b1fb68cc4bb29300e075bb97ab63得到eqId072d7d6b911b42bc89207e72515ebf5f关于eqId8e15963708e9415da25069fea5906e24的线性回归方程为eqIdb778a2a949754c6e8ec9893f7cfbef25,且eqId58aa5726475545c3b5d5fe4a0be3f4b6eqId6893091f64a341f19a6e36a433171daa,则eqId96754a3e264041f689cc7e7dc4ef993a(   )
A.4B.5C.6D.7
更新:2020/08/01难度:0.85题型:单选题组卷:37
6 . 北京公交101路是北京最早的无轨电车之一,最早可追溯至1957年.游客甲与乙同时从红庙路口西站上了开往百万庄西口站方向的101路公交车,甲将在朝阳门外站之前的任意一站下车,乙将在神路街站之前的任意一站下车,他们都至少坐一站再下车,则甲比乙后下车的概率为(   )
说明: figure
A.eqId78b45ec7e9e146629da6d5756e975cc2B.eqIdaf22e0e393474044907f7074dad72e76C.eqIda38a6eec91404abab815a88d378bdcb3D.eqId49b7b111d23b44a9990c2312dc3b7ed9
更新:2020/08/01难度:0.85题型:单选题组卷:23
7 . 已知二次函数eqIded411d46f74b474db11cac3dc7df6d1deqId5f21e1cb98064044836acc1656c04925上单调递减,则eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7应满足的约束条件为(   )
A.eqIdcc23876e9f3c47cb83290ea354b3dc5cB.eqId79936d0ad040476696d3febc73ae1229C.eqId5624e612cdfe4cd99c58b2e6091546c4D.eqId3cfcbbdcea5d4afe9d691a1e3a50d3d5
更新:2020/08/01难度:0.94题型:单选题组卷:116
8 . 设函数eqIde4d1693609474b80b4a48e4f4285ea37eqId2ae988b00be3499786a3510849d92ff2上的值域为eqIdee01832ce06d47e7a337e61c6d7414c1,则eqIdf15782a6b93b49aeb4285c6f304dbe29的取值范围为(   )
A.eqId4cdf798008bf40f4a3718724d7ffd046B.eqIdf08a2f75e2b54b5782531d79836fe723
C.eqIda3b21de7f16b401ba5f1ed3248733d47D.eqId19346bbe0cfc4a6a8c42826a8c5d6441
更新:2020/08/01难度:0.94题型:单选题组卷:132
9 . 执行如图所示的程序框图,则输出的eqId783c5f01aa1e49b29f88c27d2eca4354(   )
说明: figure
A.eqIdfcc58431683b452ca65d1d9977a280bdB.eqId5f51ce9cc7fe4412baeb871cceb26665C.3D.-3
更新:2020/08/01难度:0.94题型:单选题组卷:35
10 . eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1分别为eqId64b9b599fdb6481e9f8d9a94c102300b内角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3的对边.已知eqId06d8c1ebc89d4f59b6370787d27a62e9,则eqId52555f58d93d4a5992d32e6ff93d9013的最小值为(   )
A.eqId737d7241bd534a9b8645a03265240eb4B.eqId7b1aaf239a69442fa58e336bf69f9cdfC.eqIde72c898310bf4fb1a72beeaf8a335d66D.eqId7f4cbc932b504200bd85e1dbb4d96181
更新:2020/08/01难度:0.85题型:单选题组卷:127
11 . 已知椭圆C的焦点为F1(﹣c,0),F2c,0),其中c>0,C的长轴长为2a,过F1的直线与C交于AB两点.若|AF1|=3|F1B|,4|BF2|=5|AB|,则|AF2|=(   )
A.eqId9230e03c72f7423095e70a0da38578ecB.eqIde72c898310bf4fb1a72beeaf8a335d66aC.eqId7bb04558e4274ed492f50dee48870140D.a
更新:2020/08/01难度:0.85题型:单选题组卷:80
12 . 已知eqId7fafc29a3bd14151baacc6c0908e3d2d平面eqId89fbdcb029be4482b52165366491c70feqId534d43b0c6cb404a9201abcafc71f09e平面eqId89fbdcb029be4482b52165366491c70feqIdeecb96c84ba340069d573f6c1caefbbbeqId32066e6f057649369d8bcf18f1dc462deqIda10b010ee5214829b2a97bcf929337faeqId42f1c02cc510489799ed224c945a27d2,现有下述四个结论:①四边形eqId99e45ec0cb6f4cd7a1e5e81ad7fd18ee为直角梯形;②四面体eqId8637bc2515274bf2884580169a1e9111的外接球的表面积为eqIda0aba3c9a8dd4a4cac52ba27bcd80753;③平面eqId4c55545bc966406cad92a6b34878babc平面eqId719d720caf2e4420b0e52893df52acfc;④四面体eqId8637bc2515274bf2884580169a1e9111与四面体eqId152fd4704cda4ae39180b5a6dd4fc36d的公共部分的体积为eqId57b3d7f61b5e48a1a1c959fa66d74726.其中所有正确结论的编号是(   )
A.①③B.①③④
C.②④D.①②③④
更新:2020/08/01难度:0.65题型:单选题组卷:51
13 . 设向量eqId71c98c14409947c783319a85e122ea63eqIdfca56956567f4a76a57905b20c02700a,若eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3三点共线,则eqId70c52126b23a4d5388d832c32cc794a4______.
更新:2020/08/01难度:0.94题型:填空题组卷:130
14 . 若eqId2d18f020b5854d84aa980f674b0f7303,则eqId707568d3a5fa40caab3c8f0f3b3af13c______.
更新:2020/08/01难度:0.85题型:填空题组卷:108
15 . 《九章算术》中有这样一个问题:“今有方锥,下方二丈七尺,高二丈九尺.问积几何?”其意思是:今有一个正四棱锥,其下底边长为eqIdc052ddfbd4524f67a79e0e77c2e5656aeqIdecb828cf922546bb9760e0ce5c95a9cb尺(eqId37705e1ef6a84bbdbe88433e75932cdfeqIdd51607e891f64df59c5a1e18f37f0cf9尺),高为eqIdc052ddfbd4524f67a79e0e77c2e5656aeqId16fc2c4ac7e940cdad49c4a01d735579尺,则其体积为______立方尺.
更新:2020/08/01难度:0.94题型:填空题组卷:28
16 . 已知函数eqIdea1d7898765d4681878a951510a507fc为偶函数,函数eqId7386db5260cd4544a10c07c4985f7932,则eqId783c5f01aa1e49b29f88c27d2eca4354______;若eqId4907f5ac6f2d4dc1954c7768b921b34ceqIddb2434488713493c848a36c620dcdcaf恒成立,则eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围为______.
更新:2020/08/01难度:0.65题型:双空题组卷:83
17 . 世界各国越来越关注环境保护问题,某检测点连续100天监视空气质量指数(eqId0ca113a8a5624c9d93f40f2d1e762790),将这100天的eqId0ca113a8a5624c9d93f40f2d1e762790数据分为五组,各组对应的区间分别为eqId6c5ceb7cb6944d4e8b4912d5dc494cd5eqId3197a1918eec4f9a9e818e3ad4cd070feqId2c29006d3e5a491393a387dccb083634eqId286fa55bc44e423a8afd1cf2c64ac0aaeqIdf419396990ac4375a933f3a0e3f89dee,并绘制出如图所示的不完整的频率分布直方图.
说明: figure
(1)请将频率分布直方图补充完整;
(2)已知空气质量指数eqId0ca113a8a5624c9d93f40f2d1e762790eqId6c5ceb7cb6944d4e8b4912d5dc494cd5内的空气质量等级为优,在eqId3197a1918eec4f9a9e818e3ad4cd070f内的空气质量等级为良,分别求这100天中空气质量等级为优与空气质量等级为良的天数;
(3)若这100天中,eqId0ca113a8a5624c9d93f40f2d1e762790eqId6b0c91b2048743e685227977da6635cd的天数与eqId0ca113a8a5624c9d93f40f2d1e762790eqIde3bfd6ee76454b11ac4667f15bfe4857的天数相等,估计eqId3a4208e0040c42ed8b09de2cae9d562e的值.
更新:2020/08/01难度:0.65题型:解答题组卷:30
18 . 已知等差数列{an}的前n项和为Sn,公差为d,且(S6S32S9.
(1)若d=﹣1,求{an}的通项公式;
(2)若a5<1,1<a6<2,求数列eqId98340326e4b946a6b40191acd6f682ca的前10项和T10的取值范围.
更新:2020/08/01难度:0.85题型:解答题组卷:30
19 . 如图,在正三棱柱ABCA1B1C1中,DAB的中点,E为棱BB1上一点,且AEA1C.
说明: figure
(1)证明:AE⊥平面A1CD.
(2)若AB=2,AA1=3,求三棱锥EA1BC1的体积.
更新:2020/08/01难度:0.85题型:解答题组卷:85
20 . 直线l过点P(0,b)且与抛物线y2=2pxp>0)交于ABAB都在x轴同侧)两点,过ABx轴的垂线,垂足分别为CD.
(1)若b>0,|AC|+|BD|=p,证明:l的斜率为定值;
(2)若Q(0,﹣b),设△QAB的面积为S1,梯形ACDB的面积为S2,是否存在正整数λ,使3S1λS2成立?若存在,求λ的值;若不存在,请说明理由,
更新:2020/08/01难度:0.65题型:解答题组卷:16
21 . 已知函数eqId3c44ffa53ee34b31a8ae482bb9075a55的图象在点eqIdbeed51f79f62495299262b641c125b67处的切线与直线eqId1642e65278b14670b8d166488392b92f垂直.
(1)判断eqId4837c94ef0ff4dcf9b1dda4df363275a的零点的个数,并说明理由;
(2)证明:eqId7f0a122202da4b569783773a82975466eqIddb2434488713493c848a36c620dcdcaf恒成立.
更新:2020/08/01难度:0.65题型:解答题组卷:86
22 . 在极坐标系中,曲线eqId19a4eb16029e4550a14f2afe4741a3c3由圆eqId2381423d4cd146cab95f55527681a766与圆eqId517584fed25c413ba8b7bb33ffa2d5c6构成,圆eqId2381423d4cd146cab95f55527681a766与圆eqId517584fed25c413ba8b7bb33ffa2d5c6的极坐标方程为eqId4caa953ba6e548e68e0395f104108b5feqIdebd73f3d4d384122bd403a4b32f2c730,直线eqId417e80f1349244878d01fe90e0891f5f的极坐标方程为eqId9162b0c93722410d8db61f95d9ed4671.
(1)求圆eqId2381423d4cd146cab95f55527681a766与圆eqId517584fed25c413ba8b7bb33ffa2d5c6的圆心距;
(2)若直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId19a4eb16029e4550a14f2afe4741a3c3恰有eqIdc052ddfbd4524f67a79e0e77c2e5656a个公共点,求eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
更新:2020/08/01难度:0.65题型:解答题组卷:41
23 . 已知函数eqIdce04402fe931455d98f6feffe14276c9.
(1)求不等式eqIdb3698826a1044278bc227289a426915c的解集;
(2)若直线eqId97185ac10130468485c32ce3a535b0bb与曲线eqId9b37d03e47a347fc8fab9f814ba5fac4仅有eqId37705e1ef6a84bbdbe88433e75932cdf个公共点,求eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
更新:2020/08/01难度:0.65题型:解答题组卷:41