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华大新高考联盟名校2020届高三押题考试理科数学试题
适用年级:高三 试卷类型:其他 试题总数:23 浏览次数:57 上传日期:2020-08-01
1 . 已知集合eqId4e9d9afe4c8b4617acb68544672c3966,集合eqIdbd5b0836434e4a7c8e770665f6d23b7c,则eqId170a03e31a0e4656b66452088e998e61(   )
A.eqIdc86a6dc754964324a70cb6e38053dc1eB.eqId44890c8b59264a429243d012087611feC.eqIddef1cc45bf244f14b17d1198e6d5a654D.eqId88237967668a447b8f0d956aff000fcf
更新:2020/08/01难度:0.85题型:单选题组卷:98
2 . 已知复数eqIda3a2b23fd5664e23a642106c7713d456满足eqId46ef55fdb63b4320afdf571b9aa9bce2,则eqIda3a2b23fd5664e23a642106c7713d456的共轭复数为(   )
A.eqId7e1d65ed29e842fd8cc5cf647d5266d4B.eqIdf5fc005442444dcb9f29a042f07a383dC.eqId397633768a904d37bebbc7768088109cD.eqId5eedc150ab8b48d88bad1acd6d5ded11
更新:2020/08/01难度:0.85题型:单选题组卷:7
3 . 随着电商行业的蓬勃发展,快递行业近几年也保持着增长的态势,我国已经成为快递大国,快递业已成为人民群众生活的“必需品”.下图是2015年—2019年,我国对快递行业发展的统计图.下面描述错误的是(   )
说明: figure
A.从2015到2019年,我国快递业务量保持逐年增长的趋势
B.2016年,快递业务量增长速度最快
C.从2016到2019年,快递业务量增长速度连续上升
D.从2016到2019年,快递业务量增长速度逐年放缓
更新:2020/08/01难度:0.94题型:单选题组卷:6
4 . 设eqId07e8a1bce84b410bae8796b9e3d4b9e4eqId47267027d1aa46f29769d6c25cf8ffcaeqIdee1dce42130f4e06861bd383aaf91d8f,则eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1的大小关系为(   )
A.eqId2cf6c501fcaf451c89bbbe8a7b5da7adB.eqId45615ef0900647268b98d1d5eeb28a58C.eqIde20b3cdceb054975bbbb3a4598602bafD.eqId0d0cc8a6003c4e21bacd608a53c711cf
更新:2020/08/01难度:0.65题型:单选题组卷:170
5 . 函数eqId31986615d1414ac4b0cbcf79a9258035的部分图象大致为(   )
A.figureB.figure
C.figureD.figure
更新:2020/08/01难度:0.65题型:单选题组卷:235
6 . 2020年湖北抗击新冠肺炎期间,全国各地医护人员主动请缨,支援湖北.某地有3名医生、6名护士来到武汉,他们被随机分到3家医院,每家医院1名医生、2名护士,则医生甲和护士乙分到同一家医院的概率为(   )
A.eqId3e866ebc4a57441386a76af413247f0eB.eqId49b7b111d23b44a9990c2312dc3b7ed9C.eqId836db6d106e440cd9e5ec0272122b7bbD.eqIda8012d5322b240128851ebf3cd086e12
更新:2020/08/01难度:0.65题型:单选题组卷:69
7 . eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6分别是eqId0627be51821d4be7b3e024a354815d64eqIdcf2da96900c948a1b3ce7cbfd420c080上的点,且eqId9bbb251cf30349be8016ca0368768e22eqIde94961075ae14bf0b5cb4c6bc691385eeqIdccb2940410f343d2a798a82e0fee4bbdeqIde18c3dc1d0a24201bc03dae6e727fc33交于点eqIdbedf755e0fdb4d078d6859360706b163,则下列式子正确的是(   )
A.eqIdf3924fc3b28d4d888f4b21731bb240faB.eqId4d45e38211af4c19aae7712599bed0d0
C.eqId9bbcfef5dfb24dc3a063c150ad480280D.eqId033c08bea7c94d6aa2413b86a765bea7
更新:2020/08/01难度:0.65题型:单选题组卷:105
8 . 珠穆朗玛峰是印度洋板块和欧亚板块碰撞挤压形成的.这种挤压一直在进行,珠穆朗玛峰的高度也一直在变化.由于地势险峻,气候恶劣,通常采用人工攀登的方式为珠峰“量身高”.攀登者们肩负高精度测量仪器,采用了分段测量的方法,从山脚开始,直到到达山顶,再把所有的高度差累加,就会得到珠峰的高度.2020年5月,中国珠峰高程测量登山队8名队员开始新一轮的珠峰测量工作.在测量过程中,已知竖立在eqId8754ce8cf7f34f04abb9a0c041f57f5c点处的测量觇标高10米,攀登者们在eqIdcc614bd3390c4d028df189b234dcc351处测得到觇标底点eqId8754ce8cf7f34f04abb9a0c041f57f5c和顶点eqId19a4eb16029e4550a14f2afe4741a3c3的仰角分别为70°,80°,则eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c的高度差约为(   )
说明: figure
A.10米B.9.72米C.9.40米D.8.62米
更新:2020/08/01难度:0.85题型:单选题组卷:31
9 . 双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的方程为:eqId3327c113c43b4f7191d1fa2c69c46c60eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37a),过右焦点eqId63db14a5b4334f3ea583c8fb12b0d175作双曲线一条渐近线的平行线,与另一条渐近线交于点eqIdbedf755e0fdb4d078d6859360706b163,与双曲线右支交于点eqId2381423d4cd146cab95f55527681a766,点eqId2381423d4cd146cab95f55527681a766恰好为eqId7b71ac6238b649bba16fd5463c7b0b56的中点,则双曲线的离心率为(   )
A.eqId65021072e3ee4edc934739d219c8c5e2B.2C.eqIda2a0ce3781fa4c26b624f5966b7dee44D.3
更新:2020/08/01难度:0.65题型:单选题组卷:37
10 . eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId30fef452fc664943bd39ff7480b4c081eqIda0f7b786a86949c1800d68f748d123f9,则eqIdc557fdbbaf4f432bb8dc61f968df0bcd(   )
A.eqId49b7b111d23b44a9990c2312dc3b7ed9B.eqIdcf32b3b919f04cc18988c622e750e9f1C.eqIdfcc58431683b452ca65d1d9977a280bdD.eqId232536b8bbed4f619f81f098fe3ebb9c
更新:2020/08/01难度:0.65题型:单选题组卷:134
11 . 已知函数eqIda2a7425a6319439e8cbea27bf52d5e09,若关于eqId8e15963708e9415da25069fea5906e24的方程eqIdc573a9002f674c46a3b9747bfec47b17恰好有4个实根eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqId30b05724faab4f5f8110ee8a4fa5e28eeqId2b48ba4c6112492987d51b451a7088c8eqId24d0f52a3fbe4f3d8d51646f9d4b9eb5,则eqId4dc6f4b9bde94b4fa3ddb91ba2171c5d的取值范围是(   )
A.eqIdcb79cfbd0e8a43b49fc80ab6ff77de1cB.eqIdc5380acaa2864ba5a831e0e9184dfee9C.eqIdd2d791f456914a80af33c93c5cc6ea11D.eqIde853b1bf800d45349196b6ca01e4ff17
更新:2020/08/01难度:0.65题型:单选题组卷:57
12 . 正方体eqId588284d93dc5489295f8f224f8e30d13的棱长为3,点eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175分别在棱eqId9b5fe0a4bfee409eb14eb205fbd59f9beqIdc0cc73b9034f46ddbeeb31c6bf2c9e92上,且eqIdfb66a7cf94e742369d53a4977675ba5ceqIda6e5c1da0a164df3bd2098fef52a3ea7,下列命题:①异面直线eqId1dcb20a9ce8d4076af5dd64f7066c6d6eqIddf1e9cfeb6244d738f15ed5ee41bce72所成角的余弦值为eqIda450e9c3cad04d308852dbe8f5507f4b;②过点eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175的平面截正方体,截面为等腰梯形;③三棱锥eqId4ac61a97c4e34309873470a0c9c94890的体积为eqId57b3d7f61b5e48a1a1c959fa66d74726;④过eqIde660daa143d5431e96530c61b610d572作平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac,使得eqId5408c360dc0d4315b9aba1ac17af5b31,则平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac截正方体所得截面面积为eqId3d45dbd63a5b4ea6a6bf1350f4b86e53.其中所有真命题的序号为(   )
A.①④B.①②③C.①③④D.①②③④
更新:2020/08/01难度:0.4题型:单选题组卷:25
13 . 已知实数eqId8e15963708e9415da25069fea5906e24eqId072d7d6b911b42bc89207e72515ebf5f满足约束条件eqIdb41442ae39054232b918b0d9861c2a63,则eqId4dad087765d14ed0b0bae78302a2d5bf的最大值为______.
更新:2020/08/01难度:0.85题型:填空题组卷:6
14 . 函数eqId6a24ae37c78d458091203766d10dd407在点eqIda4b2971e99c44388a50263b79575abcc处的切线方程为______.
更新:2020/08/01难度:0.85题型:填空题组卷:21
15 . 过抛物线eqId29cd824697f94da985c2172ea4ce7e95的焦点eqId63db14a5b4334f3ea583c8fb12b0d175作两条互相垂直的弦eqIdcf2da96900c948a1b3ce7cbfd420c080eqId1b51efe7c2fa42748ac5a6be262e2fa4,则四边形eqId5ce7a06ae7a34393b92b5277978ac014面积的最小值为______.
更新:2020/08/01难度:0.65题型:填空题组卷:12
16 . 如图有标号为1,2,3的三根柱子,在1号柱子上套有eqIdf458db68122849abb588feb2e682d9ac个金属圆片,从下到上圆片依次减小.按下列规则,把金属圆片从1号柱子全部移到3号柱子,要求:①每次只能移动一个金属圆片;②较大的金属圆片不能在较小的金属圆片上面.(1)若eqId95d55329c7c74167bd7af00ff42ec3b2时,至少需要移动______次;(2)将eqIdf458db68122849abb588feb2e682d9ac个金属圆片全部移到3号柱子,至少需要移动______次.说明: figure
更新:2020/08/01难度:0.65题型:双空题组卷:3
17 . 已知函数eqIdeb8c2152857e4628a6eabfa3d6cc7875的周期为eqId7a1ead8f5cfa47f1b68f0ca61cd1599a
(1)求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的单调递增区间;
(2)若eqIdc9b381ac0b0e4df299e12034a05f7dc0,求eqId8e15963708e9415da25069fea5906e24的取值范围.
更新:2020/08/01难度:0.65题型:解答题组卷:193
18 . 如图,eqId64b9b599fdb6481e9f8d9a94c102300beqId6aae9bfe020741bbb0eede8056d37208eqId7ad7a82e0b5e414991c43a0bbb3b1db1均为正三角形,eqIdb60bb1649c8b41cb935771acc097167eeqId99a3187c2b8f4bcc9703c74c3b72f1f3中点为eqId2efda802d5534f6d92d9f8af7aaec28b,将eqId7ad7a82e0b5e414991c43a0bbb3b1db1沿eqId99a3187c2b8f4bcc9703c74c3b72f1f3翻折,使得点eqId93cbffaa5ae045d6ac45d1e979991c3a折到点eqIdbedf755e0fdb4d078d6859360706b163的位置.
说明: figure
(1)证明:eqId2ad03ecc39f3413f85f3b0684c3bb0ab平面eqIdd0ade11250f24441b7489c0ea42473d3
(2)当eqId29f3304d49ea487caa023e3fc568a084时,求二面角eqId47a2089f3e714d8fba790d35639823c6的余弦值.
更新:2020/08/01难度:0.65题型:解答题组卷:68
19 . 在平面直角坐标系中,已知点eqId152bffa3a6b64cb28f3586a942b11576eqId54471ccf8ff84e1dbfa8ab214f2d4f5a,动点eqIdbedf755e0fdb4d078d6859360706b163满足eqIdebef5b3b8101463cbb5e787d25a88e3d
(1)求点eqIdbedf755e0fdb4d078d6859360706b163的轨迹方程eqId19a4eb16029e4550a14f2afe4741a3c3
(2)过eqIdf5ad43d8f5b042ad96eb64febcfda45e的直线交曲线eqId19a4eb16029e4550a14f2afe4741a3c3eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,eqId996e2048847f41d5a5fe0e2282909254的中点为eqId75a143b898e14ccdb032561fba9da811eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,直线eqId7101cb5936ef49d7bb72d9e58960606c交直线eqIde31f24f0ffea404c91ce373793bfa129于点eqId93cbffaa5ae045d6ac45d1e979991c3a,求eqId1520d03190254a9faa06fee895c03f1e的最小值.
更新:2020/08/01难度:0.65题型:解答题组卷:29
20 . 某县自启动精准扶贫工作以来,将伦晩脐橙种植作为帮助农民脱贫致富的主导产业.今年5月,伦晩脐橙喜获丰收.现从已采摘的伦晩中随机抽取1000个,测量这些果实的横径,得到如图所示的频率分布直方图.
说明: figure
(1)已知这1000个伦晩脐橙横径的平均数eqIdab9b23e0ef934a3f99b5a4d095bebefa,求这些伦晩脐橙横径方差eqIdfd443b94eec94b36a9613b9ecdd2e644
(2)根据频率分布直方图,可以认为全县丰收的伦晚横径值eqId86c70780eab347ccb2043d1d7bc9ed96近似服从正态分布eqId1e4a7f93c9974a17a7dc50b645f05db6,其中eqId22d6117c1dd94466972a94a4e1de0edb近似为样本平均数eqIde10a0c6ca11c449bbaf6a449fb930e1aeqIde19ec785aefa488d954fa31db6cbb856近似为样本方差eqIdfd443b94eec94b36a9613b9ecdd2e644
(ⅰ)若规定横径为eqIdbbf9d86aa41842578a4548cb992a24b6的为一级果,则从全县丰收的果实中任取一个,求恰好为一级果的概率;
(ⅱ)若规定横径为84.7mm以上的为特级果,现从全县丰收果实中任取一个进行进一步分析,如果取到的不是特级果,则继续抽取下一个,直到取到特级果为止,但抽取的总次数不超过eqIdf458db68122849abb588feb2e682d9ac,如果抽取次数eqIdc688382b53d04eb9aca74b12c3b14d16的期望值不超过8,求eqIdf458db68122849abb588feb2e682d9ac的最大值.
(附:eqIdf65c8a9fab3149f696f44d660ff8d9f0eqIdab91370a7a9641ed98035afad42605cbeqId5a3f13d389914410a6a9d8a13629ae43eqId62c6794231544ac1961ec4116c6cb296eqId01225c2b4a194223882c3b337ac2f0e4
eqIdb7a3d6c193cb4971971a89ca42e038f6,则eqId084d090d62f440d79bbffd50ee574488eqId6097843d967f418f9156f7389768c111
更新:2020/08/01难度:0.4题型:解答题组卷:43
21 . 已知函数eqId364b58d1bcdb497999edf5a27e037961
(1)求eqIde4a0e3706b56447b90fe1b2781f91b14eqId8b626600be6a48d09e0bfeb9b0dd3c26上的单调区间;
(2)证明:对任意的eqId3f6ccd84619942ec87b5ae48bbee9aa1,不等式eqIdd582cfecf77843a6a82c703c90b15dcb恒成立.
更新:2020/08/01难度:0.4题型:解答题组卷:13
22 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知曲线eqIda9a5d6e62b0946a1b68ee50b5cfa8104eqId0049fc19eba84da7b19470dcb07a2a6d为参数),eqId582f0e053fa749809b2fb27bdf3b7cb3eqId3a4208e0040c42ed8b09de2cae9d562e为参数)
(1)将eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d的参数方程化为普通方程;
(2)曲线eqIdcfc8599bedfb4ab4944abf141f348a9aeqId517f95b8545a4c059d10ebd5d949b793交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,点eqId86b381baf2d844789026e94eb9c23d7d,求eqId10fa5be1bff64267a14e38ff355b5c20的值.
更新:2020/08/01难度:0.65题型:解答题组卷:32
23 . 已知函数eqIdc174d724050d4af19ba5a0e0cb43ed50eqId6fc94f6e181444c6b809fb393eb8fae6.
(1)解不等式:eqId9df7fbd6ccc34828a24079554785071c
(2)记eqId6f13759e937144069819aed2ae5a1057的最小值为eqId2381423d4cd146cab95f55527681a766,若实数eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7满足eqIdf04cef036a6e444ea4fb79b3dcba60e0,试证明:eqId073216e70d8844f6ad1aa684814fba59.
更新:2020/08/01难度:0.65题型:解答题组卷:216