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2019年浙江省高考数学试卷

适用年级:高三试卷类型:高考真题试题总数:22浏览次数:1542上传日期:2019/6/9
一、单选题
1 . 已知全集eqIdb7d3ce59ebf842c2b0e881956cba4535,集合eqId15cf398b191041d8bf013260baf915a3eqId585f4a8560c9470dacd016e43589d901,则eqIdd00ea5b3605245d99bc9bb63aa64509b( )
A.eqIdbf571fc186f64e87b3e70f4d826a8110B.eqIde7d1c26d54ad46ceab47ce4cfcef8d21
C.eqIdce94baa9b1154a39a4a67fdd291d52a8D.eqIde04ccae7f9f849eca15d0fdce7cd4d6b
难度系数:0.85使用:282次题型:单选题更新:2019/6/9
2 . 渐近线方程为eqId3c95c274cfe549fbbfdbdb8338bef359的双曲线的离心率是( )
A.eqId5f816d038c584dc7a249120298677ef3B.1
C.eqIdd63f3d22885343d0a95c9f27b038c637D.2
难度系数:0.85使用:209次题型:单选题更新:2019/6/9
3 . 若实数eqId7325f59d822c4c318b79153587a4f903满足约束条件eqIdc90397454ac24a45a74da52c88b8342d,则eqIdf3db6bb21e39479e95afda91e10442dc的最大值是( )
A.eqIdfca343da1efc413487359c1551da9dbeB.1
C.10D.12
难度系数:0.85使用:204次题型:单选题更新:2019/6/9
4 . 祖暅是我国南北朝时代的伟大科学家.他提出的“幂势既同,则积不容易”称为祖暅原理,利用该原理可以得到柱体体积公式eqId8317c9191118482ba67d7f157c856bd4,其中eqId1b7d8b87b50e4cfdbf89d48980209a52是柱体的底面积,eqId2b1922fa59af4c5098f7af850d2fcd98是柱体的高,若某柱体的三视图如图所示,则该柱体的体积是( )
figure
A.158B.162
C.182D.32
难度系数:0.85使用:242次题型:单选题更新:2019/6/9
5 . 若eqIdf09a43c2532c4798bd0f0f9df6073931,则“eqId2a1d1081f7d844f795d18ebc59106cfb”是 “eqId3af6c51a7bb546b2bfe04fb05c6aedd0”的( )
A.充分不必要条件B.必要不充分条件
C.充分必要条件D.既不充分也不必要条件
难度系数:0.85使用:319次题型:单选题更新:2019/6/9
6 . 在同一直角坐标系中,函数eqId7a44b208cfe640aa80c2cfa41648156deqId1b117b83118f4db59349c7594361ef12的图象可能是( )
A.figureB.figure
C.figureD.figure
难度系数:0.85使用:305次题型:单选题更新:2019/6/9
7 . 设eqIdaf0c28fa6a1e435ba5462b37418b2f99,则随机变量eqId86c70780eab347ccb2043d1d7bc9ed96的分布列是:
figure
则当eqId70a27b6ddf6b478285353abb3b1f3741eqId787fec3796eb4e9983c24c49d247da44内增大时( )
A.eqId457885c1b2944280a81096f9fa027176增大B.eqId457885c1b2944280a81096f9fa027176减小
C.eqId457885c1b2944280a81096f9fa027176先增大后减小D.eqId457885c1b2944280a81096f9fa027176先减小后增大
难度系数:0.85使用:316次题型:单选题更新:2019/6/9
8 . 设三棱锥eqIdb55d3c7b977d4b51b0dd9016b5c6f1e8的底面是正三角形,侧棱长均相等,eqIdd7be5abad1e34f6db17a56660de8d54f是棱eqId4c92c8388f1243bd935d6f31f9bf1ba2上的点(不含端点),记直线eqIde9b50933e347462ea824ccc9bf51fc93与直线eqIdcf2da96900c948a1b3ce7cbfd420c080所成角为eqIdc13953f2514e4c8f9c8aaaf5241c33ac,直线eqIde9b50933e347462ea824ccc9bf51fc93与平面eqId89fbdcb029be4482b52165366491c70f所成角为eqId4eb56f42ca674f2f9c9101b548763159,二面角eqId80c7818b2d384471bbd2c217152f8eba的平面角为eqId9f6eb76f8aed4a70b4dc783a11836da2,则( )
A.eqId8d0730b907de434795eca7df9a0678d2B.eqId4ec29a231918439885926282f94db10a
C.eqIdded68194a33b43bea623d61221354c12D.eqIdf2ae3ff7c9b745068de20ef1b2ce379e
难度系数:0.15使用:253次题型:单选题更新:2019/6/9
9 . 已知eqIdc9a1976ae2ea413fa3ddd9af076ff01d,函数eqIde052029563d147a2a168aa9464e7022a,若函数eqId97448170f3384e489f0272c2a741ba84恰有三个零点,则( )
A.eqId9c33cd56b6794ea7b915f2537558a357B.eqId8b0ed75a6b36430d8f25cb3425bf7ff5
C.eqIdbc7deaad6078485b9a960dcd8cfd59d1D.eqIdd346dd3d196f48eebbe1e74a7065a06f
难度系数:0.4使用:262次题型:单选题更新:2019/6/9
10 . 设eqIdc9a1976ae2ea413fa3ddd9af076ff01d,数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId5552d489d8fe498f81c5fc2531e1ab19eqId275bcb15e1794cb0972ac42ed23a61fc ,则( )
A.当eqId25927035d97d4408b3e07911d95cb289B.当eqIdcb8523002c2f42d9b1263d71fcea07a0
C.当eqId41096a77dadf4c2b8c735c744c002d1dD.当eqId2df54893a33a48b98e463048d5b79ac4
难度系数:0.15使用:223次题型:单选题更新:2019/6/9
二、填空题
11 . 复数eqId3b1e202b51274971927004b604f000e9eqIdcef329895f614248b69712b61bfa9883为虚数单位),则eqId9f7c778065824602a6380327f6399a1a________.
难度系数:0.85使用:237次题型:填空题更新:2019/6/9
12 . 已知圆eqId19a4eb16029e4550a14f2afe4741a3c3的圆心坐标是eqId13b9f91737144f7eb427c786dffdca70,半径长是eqIdd9026ce1966847eb86a5e13345fed583.若直线eqId2bcc055edd404ec3b3b754d8e66fa697与圆相切于点eqId944cb63bf3544b04981a186e932f3769,则eqIdd33c7c1015944e2b81de4ff8695de842_____,eqId33738802ee0e457f8bbcd4943064f660______.
难度系数:0.85使用:243次题型:填空题更新:2019/6/9
13 . 在二项式eqId37a8a9bdf80c4b1a9e8a00adeef4e600的展开式中,常数项是________;系数为有理数的项的个数是_______.
难度系数:0.85使用:277次题型:填空题更新:2019/6/9
14 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId6e82d3b62ac24ed5b35425ee7b513530eqId18e3ae3e255349039d6726b8293c6cabeqId513b964714c8461baad486d3ad4ead9c,点eqId0cd8063abf2b458f80091bc51b75a904在线段eqIdcf2da96900c948a1b3ce7cbfd420c080上,若eqIdfbe130808a934e78a3d2589ad9d1142d,则eqIdb71289f808ae4a21bd3ab62b09c6d988____;eqId8a2e59010e624ac69d897f6242f01360________.
难度系数:0.65使用:420次题型:填空题更新:2019/6/9
15 . 已知椭圆eqIdd0d187826fac4d60ade1ecd61e2a357b的左焦点为eqIdd5b10b2a13f148b78e0d5a1b820538fd,点eqIdd7be5abad1e34f6db17a56660de8d54f在椭圆上且在eqIdc12aac8c2448479687a40735b3572a23轴的上方,若线段eqId7b71ac6238b649bba16fd5463c7b0b56的中点在以原点eqIdaad7b72a25924d078d2360cdc99f1090为圆心,eqId222be03403154505bc6cda42c8169fa5为半径的圆上,则直线eqId7b71ac6238b649bba16fd5463c7b0b56的斜率是_______.
难度系数:0.65使用:248次题型:填空题更新:2019/6/9
16 . 已知eqIde9edd995034840cfb557ea415074294a,函数eqId14fab1c4b9b44a5a85da7c409a8b3250,若存在eqId147167b0232945c4af2c2adf04403c0d,使得eqIdfd2e933ef58e4343a3ace2ae721d7952,则实数eqId70a27b6ddf6b478285353abb3b1f3741的最大值是____.
难度系数:0.4使用:252次题型:填空题更新:2019/6/9
17 . 已知正方形eqId5ce7a06ae7a34393b92b5277978ac014的边长为1,当每个eqId27e7c1c4cb7d4b788e4c95f9e2bea5cd取遍eqId6a802b6dfc63409ea3b8e335120efdba时,eqIdae49464a9c48452ea8b5a8621546db40的最小值是________;最大值是_______.
难度系数:0.4使用:196次题型:填空题更新:2019/6/11
三、解答题
18 . 设函数eqId612d4e72be214addb2fdb794b0a70bd3.
(1)已知eqId516212cdbcc94835ae626de90664bcdc函数eqId0b5c48bf1c194412aacc27e85022bc6c是偶函数,求eqIdf9db0aee08264a238b9741675591065e的值;
(2)求函数eqId1b35760c07d345b08f571424dc32bd4f 的值域.
难度系数:0.85使用:351次题型:解答题更新:2019/6/11
19 . 如图,已知三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43,平面eqIdc473d0240fe8408eb36d7f9665ed3863平面eqId89fbdcb029be4482b52165366491c70f,eqId6e82d3b62ac24ed5b35425ee7b513530eqId73495b261cf1453db3210048a43fc690分别是eqIdc9dbadca0a844a80817431c7cb4eec69的中点.
figure
(1)证明:eqIdae7277f8763242068b2a3866c248b3c1
(2)求直线eqId1a0830891ff846de8422ea80714ecab4与平面eqIdfc72f55774494f35b26e9650072a9a27所成角的余弦值.
难度系数:0.65使用:449次题型:解答题更新:2019/6/11
20 . 设等差数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eadeeqId5adbbfacb0d947e4b542c0f4bbc31ceceqId6f9fb0e1fbba48cfbefd7e61d15acfe6,数列eqIda0db2906046940e19de8782f94f34137满足:对每eqId9b24a567871b436ca9beeaee5812392e成等比数列.
(1)求数列eqId0627febcc82c43309b33075fda7ad967的通项公式;
(2)记eqId7d92435d87e042a4960d2cf2f0607b82 证明:eqIdbeab39d971544ef2996b5129eeab92d7
难度系数:0.65使用:324次题型:解答题更新:2019/6/11
21 . 如图,已知点eqId1c8051e9de1b4bd983923dedd3a9f357为抛物线eqId06c219baa2f441a8bb5b63542e399d64,点eqIdd5b10b2a13f148b78e0d5a1b820538fd为焦点,过点eqIdd5b10b2a13f148b78e0d5a1b820538fd的直线交抛物线于eqIdb1303264010b459d9f702b468b17ec1f两点,点eqId19a4eb16029e4550a14f2afe4741a3c3在抛物线上,使得eqId9668c593319f4c908c13e5d6fbf991f8的重心eqId6a80ffe153454bf2b59761fb219aefedeqIdc12aac8c2448479687a40735b3572a23轴上,直线eqIdcf2da96900c948a1b3ce7cbfd420c080eqIdc12aac8c2448479687a40735b3572a23轴于点eqIdca9308a4ebd84ed8a28d8a519a8dbb39,且eqIdca9308a4ebd84ed8a28d8a519a8dbb39在点eqIdd5b10b2a13f148b78e0d5a1b820538fd右侧.记eqId97c8c8e869ae4ddb8e596598710dc5aa的面积为eqIdcf1811e28cc54be9a956d9b17247d7d5.
figure
(1)求eqId6a6835cd184f4cea85a0eb83b0e8444d的值及抛物线的准线方程;
(2)求eqIde5031d96fb8e4371a7e15a2f9db124cd的最小值及此时点eqId6a80ffe153454bf2b59761fb219aefed的坐标.
难度系数:0.4使用:234次题型:解答题更新:2019/6/11
22 . 已知实数eqId72ad214abc284406b620b9afdedb4132,设函数eqId49e8998d1b7b417d8ba11367088a3153 
(1)当eqIda504e2111329426d89e61b35bc117cc0时,求函数eqId6f13759e937144069819aed2ae5a1057的单调区间;
(2)对任意eqIde6b90e6954224ee8b3b46155425996a6均有eqId913f2a02af2a421fbbd103384251df38 求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
注:eqId3c5f5778187949d3ad5f65dfd596d6d1为自然对数的底数.
难度系数:0.15使用:256次题型:解答题更新:2019/6/11
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