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山西省孝义市2017届高三下学期考前热身训练数学(文)试题
适用年级:高三 试卷类型:一模 试题总数:22 浏览次数:206 上传日期:2017-06-17
1 . 已知集合eqId18b37dc815e3496ca5c7ba13034db130,集合eqId5f99b8deb2c14241a36e9ecaae474685,则集合eqId170a03e31a0e4656b66452088e998e61(     )
A.eqId5f1a0e66bb2e44bda1e8295af8304e4aB.eqIdd30a4cf4d1144a7bbc6cec4b65ec748cC.eqId473a12cc588d45ffa123fc401a1d17f2D.eqIde642fc849cea463d82510ecc0833d598
更新:2017/06/17难度:0.65题型:单选题组卷:434
2 . 已知复数eqId2cd9e2fe3d6540df9399dbefe49ada54是一元二次方程eqIda0c82513c9e3420585ee91dd6ae60a95的一个根,则eqId22ad563438bc4e1084cdf582fd08deef的值为(  )
A.1B.eqId65021072e3ee4edc934739d219c8c5e2C.0D.2
更新:2017/06/17难度:0.65题型:单选题组卷:428
3 . eqId97bd5d3bb4a745159040d4a7d9ec1efa(     )
A.eqIdfcc58431683b452ca65d1d9977a280bdB.eqId232536b8bbed4f619f81f098fe3ebb9cC.eqId767acf51abfd4d97a757561d1a882151D.eqIdcf32b3b919f04cc18988c622e750e9f1
更新:2017/06/17难度:0.65题型:单选题组卷:564
4 . 某公司准备招聘一批员工,有eqId7d78b3d9ec5c4ac687714914740d55df人经过初试,其中有eqId8f65c930571d4ff6aa6a50029d46826e人是与公司所需专业不对口,其余都是对口专业,在不知道面试者专业情况下,现依次选取eqIdc052ddfbd4524f67a79e0e77c2e5656a人进行第二次面试,则选取的第二人与公司所需专业不对口的概率是(    )
A.eqIdc34763e9a91942faa9923823c5a26be9B.eqId20a33d95bf5546e99c07aa23c6fb0e47C.eqIde41289c7307b48bd893a195b321d250fD.eqId767acf51abfd4d97a757561d1a882151
更新:2017/06/17难度:0.65题型:单选题组卷:239
5 . 《九章算术》中记载了一种标准量器——商鞅铜方升,其三视图如图所示(单位:寸),则该几何体的容积为(  )立方寸.(eqId7499bbd4d3344517af162735edbe85ad
figure
A.12.656B.13.667C.11.414D.14.354
更新:2017/06/17难度:0.65题型:单选题组卷:189
6 . 在等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,若eqId32eef6da9e1849189810b58d8ceffcb4eqIda4ba804213884179b3f2f72d288e1334,那么eqIdb2fb132dbd7f4e809993e2923f6724b1(  )
A.eqIdddd35c5d043e4ebeac32a99367053c68B.eqId8f65c930571d4ff6aa6a50029d46826eC.eqId16fc2c4ac7e940cdad49c4a01d735579D.eqIdd7225001a06642ef81093263e6a2f9ac
更新:2017/06/17难度:0.85题型:单选题组卷:426
7 . 已知函数eqIda7670f1b9b86483c97a3dbaa1fb42748,则函数eqId9b37d03e47a347fc8fab9f814ba5fac4的大致图象是(  )
A.figureB.figure
C.figureD.figure
更新:2020/06/14难度:0.65题型:单选题组卷:843
8 . 根据下边流程图输出的值是(     )
figure
A.eqId45cfebd3a8e54d27aa04ffed2e4eb0b6B.eqId20154d310bc84bdebceed142dcafe32fC.eqIdc5076bd21f0c4c008e3c6a7fda282b8cD.eqId0ac555528f3740549ac1b47853370551
更新:2017/06/17难度:0.65题型:单选题组卷:209
9 . 已知单位向量eqIdf229620ac968402d8a3213797242f7d3满足eqId29d3457d452f47bcbe421dcd23fcdacf,向量eqIdcddf08d0993b458ab2c4997b9c0da5de,(eqId32454977564e4ee18da36bd51156c509为正实数),则eqId97c924359c8647ee9c4f6090093140f5的最小值为(    )
A.eqIdfe240d8bc7a546a7930807127c1b4087B.eqId2411e237a6024ba5812575d3840e3781C.eqId2a3ac84e7d894f36a549ffc26cffdff2D.eqIda86879ae304449a4a6e6461c485a1f13
更新:2017/06/17难度:0.65题型:单选题组卷:411
10 . 若eqId7325f59d822c4c318b79153587a4f903满足约束条件eqId6db350916fae49fd9295845bbc64003f,设eqId40ad622a18284736a94402f06b48a07a的最大值点为eqIdcc614bd3390c4d028df189b234dcc351,则经过点eqIdcc614bd3390c4d028df189b234dcc351eqId1dee72bda2814b56ae616388bbdaac9f的直线方程为(    )
A.eqId810f6a68ef8f4c2597eaa9fc63f8fab0B.eqId66c13f8e935248579a3fa3ff4333fe12C.eqId9d65d74140af48d3a1a9258f33786699D.eqIddfb1ad32caf84e02b719f131d503727a
更新:2017/06/17难度:0.65题型:单选题组卷:268
11 . 已知双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的中点在原点eqId2efda802d5534f6d92d9f8af7aaec28b,焦点eqId84d368b6c7f94a358736c0407f133d65,点eqIdcc614bd3390c4d028df189b234dcc351为左支上一点,满足eqIdb12dcf19f2aa4f15aed34ba37df1d3a8eqId9bed1f5ff1824759982f20c74845926b,则双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的方程为(    )
A.eqIdcc5c467f31a140079f7addb16ba72fbdB.eqId337b55c38c1843b994922adb7f0e8483C.eqId951caf624b6a41849407a011e37d63beD.eqId17ae548ff7294d019de96125cb57d12a
更新:2017/06/17难度:0.65题型:单选题组卷:520
12 . 已知函数eqId74b471b8bbbc4068aaaa8bdd112242aa,有下列四个命题:
①函数eqIde4a0e3706b56447b90fe1b2781f91b14是奇函数;
②函数eqIde4a0e3706b56447b90fe1b2781f91b14eqId0444c45f7a0e4ab99a225b74f7bdbff1是单调函数;
③当eqId2d569479cd1c43c1af15895792b64db6时,函数eqId9769c4a1796f4935ad812b9dd4cb4598恒成立;
④当eqId4db620a5946b4ee0a9f530f35a6d505a时,函数eqIde4a0e3706b56447b90fe1b2781f91b14有一个零点,
其中正确的个数是(     )
A.eqId37705e1ef6a84bbdbe88433e75932cdfB.eqIdc052ddfbd4524f67a79e0e77c2e5656aC.eqId8898c1dc81824f3098bbeae74e8f11fdD.eqIdddd35c5d043e4ebeac32a99367053c68
更新:2017/06/17难度:0.65题型:单选题组卷:486
13 . 《九章算术》中有这样一个问题:“今有圆材埋在壁中,不知大小,以锯锯之,深一寸,锯道长一尺,问径几何?”大意为:有个圆柱形木头,埋在墙壁中(如图所示),不知道其大小,用锯沿着面eqId99a3187c2b8f4bcc9703c74c3b72f1f3锯掉裸露在外面的木头,锯口eqId34c6b6e427744abfb88dc90b8c7c2111eqId37705e1ef6a84bbdbe88433e75932cdf寸,锯道eqId99a3187c2b8f4bcc9703c74c3b72f1f3长度为eqId37705e1ef6a84bbdbe88433e75932cdf尺,问这块圆柱形木料的直径是__________.(注:eqId37705e1ef6a84bbdbe88433e75932cdfeqId1f2c92dfd3d8438ca50bd7b1c0ed8a80eqId11f75c152f5341f39d020095cecda9b3寸)figure
更新:2020/01/31难度:0.85题型:填空题组卷:305
14 . 下图是北方某地区从eqIdb31456a601104ba680947c5c02639466年至eqIdbf4e7267670b4030a807666a7fe08780年患“三高”(即高血压、高血糖、高血脂的统称)人数eqId072d7d6b911b42bc89207e72515ebf5f(单位:千人)折线图,如图所示,则eqId072d7d6b911b42bc89207e72515ebf5f关于eqId32454977564e4ee18da36bd51156c509的线性回归方程是__________.
figure
(参考公式:eqIdfd744c3ace0f49318320d28a0097eacd
更新:2017/06/17难度:0.94题型:填空题组卷:118
15 . 已知一条抛物线的焦点是直线eqIdcfe1c03cfe7a4f13a3d31969bd417037eqId8e15963708e9415da25069fea5906e24轴的交点,若抛物线与直线eqId417e80f1349244878d01fe90e0891f5f交两点eqIdeb53cb7cb0274f7d8f111c60f824c243,且eqIddc10fb0e0f61448f95c94b2f3864aad8,则eqIdbe5f3b3f0781455680e18c74f51be0b5__________.
更新:2017/06/17难度:0.65题型:填空题组卷:256
16 . 已知数列eqId054d5a7de5684002909fe944c86227c2eqId0445a74c16474d3a81038707f84221a3,数列eqId69fa66742e6b480eb0e55f574b8b7749满足eqId671adbc6b75b44858e8fcb085364892c,则数列eqId011cb13b78b4469e98ee76b9e297935c的前eqIdd7c5ded96af7486fa63823a1c0851afb项和eqIdd815a0f122e847c889673a050ceda7a0为__________.
更新:2017/06/17难度:0.65题型:填空题组卷:256
17 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,且满足eqId9f77556f99de49afa04bd2b26f3c4172
eqId37705e1ef6a84bbdbe88433e75932cdf)求角eqId19a4eb16029e4550a14f2afe4741a3c3的大小.
eqIdc052ddfbd4524f67a79e0e77c2e5656a)若eqId1cb2055c43464d6cb1598ef53f7beccf,且eqId6708e96dac7f4808853fe3e810186a39,求eqId64b9b599fdb6481e9f8d9a94c102300b的面积.
更新:2020/02/11难度:0.65题型:解答题组卷:770
18 . eqIdbf4e7267670b4030a807666a7fe08780年袁隆平的超级杂交水稻再创亩产量世界纪录,为了测试水稻生长情况,专家选取了甲、乙两块地,从这两块地中随机各抽取eqId11f75c152f5341f39d020095cecda9b3株水稻样本,测量他们的高度,获得的高度数据的茎叶图如图所示:
figure
(1)根据茎叶图判断哪块田的平均高度较高;
(2)计算甲乙两块地株高方差;
(3)现从乙地高度不低于eqIdc1f6d1f798a947b2a0006a53a4a5e400的样本中随机抽取两株,求高度为eqIddda4cc0628994e8296b987998c03a727的样本被抽中的概率.
更新:2017/06/17难度:0.65题型:解答题组卷:341
19 . 如图,正在四棱柱eqId588284d93dc5489295f8f224f8e30d13中,已知eqIdf7bb1891d0a34f5eb1974d67293b504a,eqId1b7d8b87b50e4cfdbf89d48980209a52eqId17ceafc9b1a74a37a89907801af1e742的中点
figure
(1)求证:eqIdc7290cc80c894fac91cc459dd7bcb705
(2)求三棱锥eqId2e34c914657a4416a3f2a869b7eca69a的体积.
更新:2017/06/17难度:0.65题型:解答题组卷:403
20 . 设椭圆eqIddea2714cfe984323977f11c744ee6adb的左顶点为eqIdaf2bdc231a154d5ebe13dab54da90d09,且椭圆eqId19a4eb16029e4550a14f2afe4741a3c3与直线eqId7c4e80f56a334a8fad5916c81fc34e63相切,
(1)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
(2)过点eqId940ed5abba3f46e5924bd1ea9377e3bf的动直线与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdeb53cb7cb0274f7d8f111c60f824c243两点,设eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,是否存在常数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c,使得eqIdf8de105b2e4d4966a0d42abea27c23ae?请说明理由.
更新:2017/06/17难度:0.4题型:解答题组卷:499
21 . 已知函数eqIda1f5bb563ee14dfb95b4b8ba307e8969(eqId70a27b6ddf6b478285353abb3b1f3741是常数),
(1)求函数eqId4d3e93a6d87549de932f2ff7ade9eadb的单调区间;
(2)当eqId5513b5f400e2412eb4d0695729d48be0时,函数eqIde4a0e3706b56447b90fe1b2781f91b14有零点,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
更新:2020/03/22难度:0.65题型:解答题组卷:673
22 . 选修4-4:坐标系与参数方程
已知在直角坐标系eqId2272a344734c4fb088737b84294f7219中,以eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqId8e15963708e9415da25069fea5906e24轴正半轴为极轴建立极坐标系,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为:eqId19c214a4f95f42f9b16f3f1bdda556e5,曲线eqId3a63d00111554b9e8b896929779a293d的极坐标方程为:eqIdc36b8bc3b74c4235913375afc1a88853
(1)写出eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d的普通方程;
(2)若eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d交于两点eqIdeb53cb7cb0274f7d8f111c60f824c243,求eqIdfd44c67ef2814bf3aa0186f0d5ca0cfd的值.
更新:2017/06/17难度:0.65题型:解答题组卷:600