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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(理)试题
适用年级:高三 试卷类型:一模 试题总数:22 浏览次数:201 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 . 已知等差数列eqIdbc7e3de6d09945afb9532347ea30f402,则eqId9838cce112624ff0b0f1901fc29e2875的值为(    )
A.eqId0567016662a542918c85a5197187e353B.eqId5512de9dae124aa1928bcaa4a54b2ca4C.eqIdd1ab14bc7ded4e9d917d64a815ad8866D.eqId8719e1221d304cea8440e27b1aadf379
更新:2017/06/17难度:0.85题型:单选题组卷:586
4 . 设eqIdda1d40de591c4fb6af6ec49ee6909f1c,则二项式eqIdcc11ed9eddea4eb9b39ee7c7cb1f3101的常数项是()
A.eqIda02c30d0f4d94db89d377d4999b73d3bB.eqIdbe11bfcace584ec8b1a3aae3e00771e6C.eqIdbfbdffb8b1b2430fb9fb84baa9a55c71D.eqId8e18403e6c404cde904eb0b42cde0446
更新:2016/09/19难度:0.65题型:单选题组卷:628
5 . 大厦一层有eqId48bbb48da1fc4894a6c401302847b892四部电梯,eqId8898c1dc81824f3098bbeae74e8f11fd人在一层乘坐电梯上楼,则其中eqIdc052ddfbd4524f67a79e0e77c2e5656a人恰好乘坐同一部电梯的概率为(    )
A.eqIddfb039839cb44dfa92c70583d85e2011B.eqIdbf70144b870c43768d140d519689daf3C.eqIde0dd5a61f6dc4618bfa2afa5f59264b3D.eqIda711c05fa9f24c3ca62983bc86615315
更新:2017/06/17难度:0.65题型:单选题组卷:259
6 . 《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
7 . 已知函数eqId4d3e93a6d87549de932f2ff7ade9eadb,满足eqIde9f0b5aed88b41a98b8c34cd9e2398cfeqIdb49251bac99f4c0fb0156c2d9738dcb7是偶函数,且eqId5e7c887f23144d6b97018d3d2228a02c,设eqId106edb31939342d2a41675419713a9a5,则eqId9af779f986034d1c87cbf6056d75bf3e(     )
A.eqId87a9bbb6dd564186905f2064b8c22182B.eqId022e530e1dd6453ab54467745e9df0a8C.eqId7a1ead8f5cfa47f1b68f0ca61cd1599aD.eqId38e5370dda824977bc843210c337529e
更新:2017/06/17难度:0.85题型:单选题组卷:589
8 . 已知抛物线eqIdd2285144f9d44feab965067fa9c19ebb,过点eqIdbd2010c0651440fbb131016701fc98c6作抛物线的两条切线eqId0aacd02165d748e9b20d96f0421ea6c1为切点,若直线eqIdb4f27852919c4e48a668a42613c2408f经过抛物线eqId0af2f9a8f8d044d390fa497b41d331e5的焦点,eqId141aacd92be1460fbdf80d5753578ae0的面积为24,则以直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3为准线的抛物线标准方程是(   )
A.eqId0092b14c107b43f6a932af9fec3e5444B.eqId4ccad8795c0448cfb3447214f5c0229e
C.eqId2162b61fba4d42a1aea8f75dc4a148f1D.eqIdb067e8eef9c349bf9265d8459fd2cb38
更新:2017/06/07难度:0.65题型:单选题组卷:556
9 . 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
10 . 在长方体eqId588284d93dc5489295f8f224f8e30d13中,eqId0a8b607d266848ab94eb05e402d34f4f,点eqIdbedf755e0fdb4d078d6859360706b163在线段eqIdce3304c847ca47f486f045a4fbfc0ecd上运动,当异面直线eqId14ea6a37d2b74c69824ef59b47823e64eqIda53f4cdd3230496d942add97720f07d9所成的角最大时,则三棱锥eqId065a42a6baaf4eb789313110d906cb55的体积为(  )
A.eqId5a7362f23d384ff2aedec87238b861fbB.eqId4a52850038c14c999cc5d8ece2bce07aC.eqId5b4bfd20c95d43d9b8482899d08fb66aD.eqId5699574ff8914c0da3aebae85df60ff9eqId5699574ff8914c0da3aebae85df60ff9
更新:2020/05/13难度:0.65题型:单选题组卷:375
11 . 已知函数eqId5556817346d44ce1ad60126bddeab1ef的周期为eqId7a1ead8f5cfa47f1b68f0ca61cd1599a,将函数eqIde4a0e3706b56447b90fe1b2781f91b14的图像沿着eqId072d7d6b911b42bc89207e72515ebf5f轴向上平移一个单位得到函数eqIdd077167f12154199a0f30bcefb739eb5图像,设eqId18825f6362d3459c91a47d965d670035,对任意的eqId57011c52e7164e55ab553112d4672273恒成立,当eqIde642fc849cea463d82510ecc0833d598取得最小值时,eqIdfa5bdf54b9754ff7b61d293ef7fe005c的值是(     )
A.eqId767acf51abfd4d97a757561d1a882151B.eqId37705e1ef6a84bbdbe88433e75932cdfC.eqId57b3d7f61b5e48a1a1c959fa66d74726D.eqIdc052ddfbd4524f67a79e0e77c2e5656a
更新:2017/06/17难度:0.4题型:单选题组卷:881
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 . 共享单车是指企业与政府合作,在公共服务区等地方提供自行车单车共享服务,现从eqIddd4bf187d3fd47f6bcc24e568e09643e辆黄色共享单车和eqIdddd35c5d043e4ebeac32a99367053c68辆蓝色共享单车中任取eqIdddd35c5d043e4ebeac32a99367053c68辆进行检查,则至少有两个蓝色共享单车的取法种数是__________.
更新:2017/06/17难度:0.65题型:填空题组卷:354
14 . 如图所示,在南海上有两座灯塔eqIdeb53cb7cb0274f7d8f111c60f824c243,这两座灯座之间的距离为eqId8e18403e6c404cde904eb0b42cde0446千米,有个货船从岛eqIdd7be5abad1e34f6db17a56660de8d54f处出发前往距离eqId4105496a4c934a6682efaae84bcf0e72千米岛eqIdca9308a4ebd84ed8a28d8a519a8dbb39处,行驶至一半路程时刚好到达eqId2381423d4cd146cab95f55527681a766处,恰好eqId2381423d4cd146cab95f55527681a766处在灯塔eqIdcc614bd3390c4d028df189b234dcc351的正南方,也正好在灯塔eqId8754ce8cf7f34f04abb9a0c041f57f5c的正西方,向量eqId0b86c10ed82041b9875dbb414ae87850,则eqId43a9f4662bd74b6dab6a0018896b3c1f__________.figure
更新:2017/06/17难度:0.85题型:填空题组卷:209
15 . 若eqId7325f59d822c4c318b79153587a4f903满足约束条件eqIdfbafe48b04634d5d979f8dcfbff6a75b,设eqId40ad622a18284736a94402f06b48a07a的最大值点为eqIdcc614bd3390c4d028df189b234dcc351,则经过点eqIdcc614bd3390c4d028df189b234dcc351eqId1dee72bda2814b56ae616388bbdaac9f的直线方程为__________.
更新:2017/06/17难度:0.65题型:填空题组卷:210
16 . 对于正整数eqIdf458db68122849abb588feb2e682d9ac,设eqId0926f6c8f74748d784074f0759f0f374是关于eqId8e15963708e9415da25069fea5906e24的方程eqId614986f692b1405e8ce700ad38ac5b64的实数根,记eqId5bc8745783fe49edb4c9dfcffa23b57a,其中eqId37ee4988379449d4af9a121085062a2a表示不超过实数eqId8e15963708e9415da25069fea5906e24的最大整数,则eqId9bc4f2afdc3446c698355e2c63c841ad__________.
更新:2017/07/27难度:0.65题型:填空题组卷:263
17 . 已知锐角三角形eqId89fbdcb029be4482b52165366491c70f的内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4的对边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,且满足eqIdcc3e4f3569474a299d6c66411014c75d
(1)求角eqId10bbe48f886a4fa78fdf8c1fd064f9b4
(2)若eqIdd7a2aa5f022b4892bd87af662f713413,求三角形eqId89fbdcb029be4482b52165366491c70f的边长eqIdaea992e70d4943e49e893817eb885ed7的值及三角形eqId89fbdcb029be4482b52165366491c70f的面积.
更新:2017/06/17难度:0.65题型:解答题组卷:551
18 . 某研究所设计了一款智能机器人,为了检验设计方案中机器人动作完成情况,现委托某工厂生产个机器人模型,并对生产的机器人进行编号:,采用系统抽样的方法抽取一个容量为的机器人样本,试验小组对个机器人样本的动作个数进行分组,频率分布直方图及频率分布表中的部分数据如图所示,请据此回答如下问题:
分组
机器人数
频率

 
0.08

10
 

10
 

 
 

6
 
 
figure
(1)补全频率分布表,画出频率分布直方图;
(2)若随机抽的第一个号码为,这个机器人分别放在三个房间,从房间,从房间,从房间,求房间被抽中的人数是多少?
(3)从动作个数不低于的机器人中随机选取个机器人,该个机器人中动作个数不低于的机器人记为,求的分布列与数学期望.
更新:2017/06/17难度:0.65题型:解答题组卷:213
19 . 在正三角形eqId9da407b1b5434c14babcd060832f27ee中,eqId1cf8df1568aa448c9f01c496606fcec7分别是eqId5f5bf8acdd2d4fbc8ef12fa6dde2c283边上的点,满足eqIdab1f583f75c845dc9b4101ab0d3b48ce(如图eqId37705e1ef6a84bbdbe88433e75932cdf),将eqIdd00c4ed3616f4d55ab243369a635d6e5沿eqIdfd782b7381664d27871394d0574ccc19折起到eqIdb4f030de2ba74e6e9c569bfd9ba7fa8e的位置,使二面角eqIdd9d741456d1e4c03837eeeec75b28f3f成直二面角,连接eqIdcf88300d063f4555ac39d5171002e684(如图eqIdc052ddfbd4524f67a79e0e77c2e5656a).
figure
(1) 求证:eqId6f094b51f8a94661b7cda1e138eb8137平面eqId11a7bc3cd7164e4382032741a15db1a3
(2)求二面角eqIda3ebb0617efb49fda5104f00fc0aba40的余弦值的大小;
更新:2017/06/17难度:0.65题型:解答题组卷:511
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