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        安徽省定远中学2019届高三全国高考猜题预测卷一数学(文)试题

        适用年级:高三试卷类型:高考模拟试题总数:23浏览次数:134上传日期:2019/6/26
        一、单选题
        1 . 若集合eqIddd131f70730a4f5eb8c61d55bc5b719aeqId0b81625c20be47549b532fb67e614d48,则eqId170a03e31a0e4656b66452088e998e61(???)
        A.eqIdf9aa580a20be4756a93e322ab0af779bB.eqIddffc2b47e0ab4930b1fbee0451d8955e
        C.eqId4ae069e39a484caea30c15880a2c628dD.eqIdfb7e12354556408993d36e184f704d16
        难度系数:0.94使用:108次题型:单选题更新:2019/6/26
        2 . 若eqIdb6e15e51d29a47a7aff44f98b1aafaee为虚数单位,则eqId51d05a760bec434e961bac69b24d9822(???)
        A.eqId42d0fe18105941a1b2f2b34823beda3aB.eqId0744b26930af4295912e2338d4567bb2C.eqId2d05d9bea9d64b66a14ad5f19e1f9360D.eqIdb2814f586f8b4f78baa88a173c8fb5a1
        难度系数:0.94使用:80次题型:单选题更新:2019/6/26
        3 . 若实数eqIdc12aac8c2448479687a40735b3572a23eqId072d7d6b911b42bc89207e72515ebf5f满足不等式组eqId38fb9e9da49047a7bdcd281be175b94b,则eqId0541a1356f6248eb8868a79f87d478d3的最小值为(???)
        A.4B.5C.6D.7
        难度系数:0.94使用:106次题型:单选题更新:2019/6/26
        4 . 已知椭圆eqId19a4eb16029e4550a14f2afe4741a3c3eqIdc232ddcf5a144548b42d77121b02acfeeqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e分别为椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的左、右焦点,eqIdd7be5abad1e34f6db17a56660de8d54f为椭圆eqId19a4eb16029e4550a14f2afe4741a3c3上任一点,若eqId2a688ead92cd49afa00e6a51b788e3b7,则eqId2acab6f3a1364f38925445d49284d047(???)
        A.4B.23C.2D.eqIda2a0ce3781fa4c26b624f5966b7dee44
        难度系数:0.94使用:182次题型:单选题更新:2019/6/26
        5 . 已知四棱锥eqIdac097205e9cb41279269aadcac3fb6f1的底面四边形eqId5ce7a06ae7a34393b92b5277978ac014是边长为2的正方形,若过点eqIdd7be5abad1e34f6db17a56660de8d54f作平面eqId5ce7a06ae7a34393b92b5277978ac014的垂线,垂足为四边形eqId5ce7a06ae7a34393b92b5277978ac014的中心,且四棱锥eqIdac097205e9cb41279269aadcac3fb6f1的侧棱与底面所成的角为eqIdf1c3337151994ec4b99354c9d54f311c,则四棱锥eqIdac097205e9cb41279269aadcac3fb6f1的高为(???)
        A.eqId2644c4fd7d684e75ae5ed93cb3581244B.eqIda2a0ce3781fa4c26b624f5966b7dee44C.eqId807b61b62f09462994e31cf497210538D.eqId7bcd573cee334383ad72cc4b179fcfb3
        难度系数:0.85使用:84次题型:单选题更新:2019/6/26
        6 . 已知在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,圆eqIdcfc8599bedfb4ab4944abf141f348a9aeqIdbe6436ce4d0148ddac0f47fcd81079f6与圆eqIdfe33ac7524b14f658e64c52c37499d5ceqIdd28cc20b235c4a0eb44aebc6a301f279交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,若eqIdf025c4e766bb4b56b0b58c2b41d7f976,则实数eqId3a4208e0040c42ed8b09de2cae9d562e的值为(???)
        A.1B.2C.-1D.-2
        难度系数:0.85使用:177次题型:单选题更新:2019/6/26
        7 . 已知eqId4837c94ef0ff4dcf9b1dda4df363275a为定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,若当eqId26126945e23544d9b0cecaf9cf4809ac时,eqIddf7e677c0ae649599ceb38acf55cce1beqId3a4208e0040c42ed8b09de2cae9d562e为实数),则关于eqIdc12aac8c2448479687a40735b3572a23的不等式eqIdff77d1c3537344c1a81a136d4ca5d298的解集是(???)
        A.eqIdd2d791f456914a80af33c93c5cc6ea11B.eqId22d778671e27461e80a10601453ba630C.eqIdbe1458080a8c442fbbc83863be99bb06D.eqId5167ebf529b544b6939793f11fee2ac2
        难度系数:0.65使用:292次题型:单选题更新:2019/6/26
        8 . 如图,网格纸是由边长为1的小正方形构成,若粗实线画出的是某几何体的三视图,则该几何体的表面积为(???)
        figure
        A.eqIdb476cc00fc94488a9f510c9008006c99B.eqIda737a5cc27114f42a9e0242451421436C.eqId91c3179e88614546b839d07c7d56b828D.eqId41d1655fb0054bb78aea1d4787af16f9
        难度系数:0.65使用:66次题型:单选题更新:2019/6/26
        9 . 已知半径为2的球内有一个内接圆柱,若圆柱的高为2,则球的体积与圆柱的体积的比为(???)
        A.eqIde72c898310bf4fb1a72beeaf8a335d66B.eqIddfb039839cb44dfa92c70583d85e2011C.eqIddda48cced83d424b89b7d8f8c62b1056D.eqId9cd18c1b8a9b4845b7120a72adedde8a
        难度系数:0.85使用:278次题型:单选题更新:2019/6/26
        10 . 函数eqIdc33ba116bf2047b18bb3dcef5f25761b的图象与函数eqIdc1f8d73ce724470ab6921a7e3af7b605的图象的交点横坐标的和为(???)
        A.eqId87a2422bd1e049b09f7a827b7031a98fB.eqIdc12500d69e0342b3be4db149b0244a7aC.eqIdcddb91cf36e948d19957658b36afba60D.eqId7a1ead8f5cfa47f1b68f0ca61cd1599a
        难度系数:0.65使用:136次题型:单选题更新:2019/6/26
        11 . 已知函数eqIde6a283b96c0e414ab6b6d16bdc519633eqId982da3835b7946d999cc8604a2ece266,且eqIdd951487aa2c84adebbd85d63425e0e52)在区间eqIdf29880cc530c4d4a8765eedc9effaf68上的值域为eqIdf29880cc530c4d4a8765eedc9effaf68,则eqId783c5f01aa1e49b29f88c27d2eca4354(???)
        A.eqIdd63f3d22885343d0a95c9f27b038c637B.eqIde41289c7307b48bd893a195b321d250fC.eqIdb133ca813a6e476aaacacb8a17baf536eqIdd63f3d22885343d0a95c9f27b038c637D.eqIde41289c7307b48bd893a195b321d250f或4
        难度系数:0.65使用:303次题型:单选题更新:2019/6/26
        12 . 已知在锐角eqId992fe44057cf4492895193f3f5398449中,角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3的对边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,若eqId257b875b116f4df89689302dd405bd3d,则eqId289c01250d1c4191b74249293eebbc9f的最小值为(???)
        A.eqId6b9dfd942f2d4c36a5d4467a843aa752B.eqIdcd9b24a6a6e5426ab775be20461174e3C.eqId7622aa9f681345d1bbd0c3ed5a01fae8D.eqId5d04f8a500ff47769300856360b7f29a
        难度系数:0.65使用:310次题型:单选题更新:2019/6/26
        二、填空题
        13 . 已知平面向量eqId29439993ee564a6384029f4b79d8f112eqIdf0f292d8d1ad49d38d7c82977edd7b01eqIdb8161e031f434a29b0e7b741839580aa,若eqId050c12f3bb764e7fa9c958a7fb77f309,则实数eqId70c52126b23a4d5388d832c32cc794a4______.
        难度系数:0.94使用:161次题型:填空题更新:2019/6/26
        14 . 某高校组织学生辩论赛,六位评委为选手eqIdcc614bd3390c4d028df189b234dcc351成绩打出分数的茎叶图如图所示,若去掉一个最高分,去掉一个最低分,则所剩数据的平均数与中位数的差为______.figure
        难度系数:0.94使用:97次题型:填空题更新:2019/6/26
        15 . 已知平行于eqIdc12aac8c2448479687a40735b3572a23轴的直线eqId417e80f1349244878d01fe90e0891f5f与双曲线eqId19a4eb16029e4550a14f2afe4741a3c3eqId58ecc109d7934cbb921c58754c302a4b的两条渐近线分别交于eqIdd7be5abad1e34f6db17a56660de8d54feqIdca9308a4ebd84ed8a28d8a519a8dbb39两点,eqIdaad7b72a25924d078d2360cdc99f1090为坐标原点,若eqId81232f29758e4449908f62031953893f为等边三角形,则双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的离心率为______.
        难度系数:0.85使用:120次题型:填空题更新:2019/6/26
        16 . 已知函数eqId50e3fb62ad554b36b4c35cdba9df9839,若存在eqId4fd7e919eb9d4d40b588bba615e70d35,且eqId0d92c4ad3bca47d4958b4f251dab9b8beqIdd0679a9d751c4340905b81e146c49f80,使得eqId1e2d1fad07a44699bdcb12cf9566f852恒成立,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是____.
        难度系数:0.4使用:110次题型:填空题更新:2019/6/26
        三、解答题
        17 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId77b3f6b9955e499dbdab033a38779496eqIdc29f9e2dc3824b128d79e0954191f067eqId9498ecf3cf0b4b4c980a46f92a87ec17.
        (1)证明:数列eqIda0db2906046940e19de8782f94f34137为等比数列;
        (2)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和.
        难度系数:0.85使用:418次题型:解答题更新:2019/6/26
        18 . 如图1,在边长为4的正方形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdbf4db7d066034b139ff80a09ab139d45的中点,eqIdd5b10b2a13f148b78e0d5a1b820538fdeqId34c6b6e427744abfb88dc90b8c7c2111的中点,现将三角形eqIda3eb5356d699417e8d2a360a77f14a6b沿eqId1a0830891ff846de8422ea80714ecab4翻折成如图2所示的五棱锥eqId4638d9365bf74c459aeed4ddb0bde73c.
        figure
        (1)求证:eqIdff853aa7407a49abb15b49c3b408727b平面eqIda8aeeb3348c24061b40e16d689171576
        (2)求五棱锥eqId4638d9365bf74c459aeed4ddb0bde73c的体积最大时eqId62d8369e43a6440b832664a3d6caa906的面积.
        难度系数:0.65使用:114次题型:解答题更新:2019/6/26
        19 . 随着互联网金融的不断发展,很多互联网公司推出余额增值服务产品和活期资金管理服务产品,如蚂蚁金服旗下的“余额宝”,腾讯旗下的“财富通”,京东旗下“京东小金库”.为了调查广大市民理财产品的选择情况,随机抽取1100名使用理财产品的市民,按照使用理财产品的情况统计得到如下频数分布表:
        分组
        频数(单位:名)
        使用“余额宝”
        eqIdc12aac8c2448479687a40735b3572a23
        使用“财富通”
        eqId072d7d6b911b42bc89207e72515ebf5f
        使用“京东小金库”
        40
        使用其他理财产品
        60
        合计
        1100
        ?
        已知这1100名市民中,使用“余额宝”的人比使用“财富通”的人多200名.
        (1)求频数分布表中eqIdc12aac8c2448479687a40735b3572a23eqId072d7d6b911b42bc89207e72515ebf5f的值;
        (2)已知2018年“余额宝”的平均年化收益率为eqId4093cf2ea3414a39a0e36d86946897d5,“财富通”的平均年化收益率为eqId97f50381cbe443b5b8b695dc8211fd72,“京东小金库”的平均年化收益率为eqId4cf11e67889944528585e4abe10f4765,有3名市民,每个人理财的资金有10000元,且分别存入“余额宝”“财富通”“京东小金库”,求这3名市民2018年理财的平均年化收益率;
        (3)若在1100名使用理财产品的市民中,从使用“余额宝”和使用“财富通”的市民中按分组用分层抽样方法共抽取5人,然后从这5人中随机选取2人,求“这2人都使用‘财富通’”的概率.
        注:平均年化收益率,也就是我们所熟知的利率,理财产品“平均年化收益率为eqId5ddedd33fef944348e6315b0a1b592b7”即将100元钱存入某理财产品,一年可以获得3元利息.
        难度系数:0.85使用:119次题型:解答题更新:2019/6/26
        20 . 已知抛物线eqId19a4eb16029e4550a14f2afe4741a3c3eqId294af0137a7a4b2f873817ba8fbafb44的焦点为eqIdd5b10b2a13f148b78e0d5a1b820538fd,点eqId4ad663cd82154e9cabcb0c4b59472c6f在抛物线eqId19a4eb16029e4550a14f2afe4741a3c3上,eqIdeb0875412fff4e48bc6ab6264d85bde0.
        figure
        (1)求抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
        (2)如图,eqIdd7be5abad1e34f6db17a56660de8d54f为抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的准线上任一点,过点eqIdd7be5abad1e34f6db17a56660de8d54f作抛物线eqId19a4eb16029e4550a14f2afe4741a3c3在其上点处的切线eqId6f782d71f5a7422aa78bd8204949ce26eqIde9b50933e347462ea824ccc9bf51fc93,切点分别为eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c,直线eqIddcf5b30f6a19464fa0936e1b3a5a4898与直线eqId6f782d71f5a7422aa78bd8204949ce26eqIde9b50933e347462ea824ccc9bf51fc93分别交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6的纵坐标分别为eqId3a4208e0040c42ed8b09de2cae9d562eeqIdf458db68122849abb588feb2e682d9ac,求eqId7ee9cba96d234881be35f27c0dd43136的值.
        难度系数:0.4使用:106次题型:解答题更新:2019/6/26
        21 . 已知函数eqIdc592220173854fd9ab085dfbafce0055.
        (1)当eqIdf56dda8f6e724483ac43b68e5912668d时,求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的单调区间;
        (2)证明:当eqIda204a138ac3b49f2b40c9933a653a451时,eqId751004b42b5f44a3a0a501c99361a2e9.
        难度系数:0.4使用:228次题型:解答题更新:2019/6/26
        22 . 已知在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的参数方程为eqId54242ae37d0146db878b7960214c3abfeqIdf9db0aee08264a238b9741675591065e为参数),以坐标原点eqIdaad7b72a25924d078d2360cdc99f1090为极点,eqIdc12aac8c2448479687a40735b3572a23轴的非负半轴为极轴且取相同的单位长度建立极坐标系,直线eqId417e80f1349244878d01fe90e0891f5f的极坐标方程为eqId2fdd89d6ea624cb9a3dbb87b598276ad.
        (1)求直线eqId417e80f1349244878d01fe90e0891f5f的直角坐标方程;
        (2)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3上的点到直线eqId417e80f1349244878d01fe90e0891f5f距离的最小值和最大值.
        难度系数:0.65使用:312次题型:解答题更新:2019/6/26
        23 . 已知函数eqIdf64ad13de08449c4b5a60fef9fe2360a.
        (1)当eqIda08ce385279d41c789695fb651b17890时,求不等式eqId4608e2ecc7e14c108be97f19f2483f6d的解集;
        (2)若eqId5829b31b471b4f1b85cb91d760ba0e85对任意eqId6fc94f6e181444c6b809fb393eb8fae6成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
        难度系数:0.65使用:169次题型:解答题更新:2019/6/26
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