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                                                                                                                河南省郑州第二中学2018-2019学年高一下期第二次月考(5月)数学试题

                                                                                                                适用年级:高一试卷类型:月考试题总数:21浏览次数:76上传日期:2019/6/7
                                                                                                                一、单选题
                                                                                                                1 . 下列程序语句正确的是(??)
                                                                                                                A.输出语句B.输入语句
                                                                                                                C.赋值语句D.赋值语句
                                                                                                                难度系数:0.64使用:300次题型:单选题更新:2016/6/1
                                                                                                                2 . 某工厂生产了eqId8e18403e6c404cde904eb0b42cde0446个零件,现将所有零件随机编号,用系统抽样方法,抽取一个容量为eqId88b587390e9f4e23b08ee2281d28db07的样本.已知eqId91f1a2f24e5a4f65b5924d33663e4b5c号、eqIdcf33d21da07a471b961463b526e1682e号、eqIdc546aa69ebd545ff85f2e45cec0e6972号、eqId7a501e5dd0f6407f9cb9967fb199bcea号零件在样本中,则样本中还有一个零件的编号是(???)
                                                                                                                A.eqId14640b150a12429682588f6874e9a13bB.eqId49cecb56d70049d6a6c02bfff9610d76C.eqId3155e514211a416bb998bcc87bd4bd3eD.eqId448692a736364522869b062b9fc4feec
                                                                                                                难度系数:0.65使用:586次题型:单选题更新:2018/4/17
                                                                                                                3 . 为了解某校老年、中年和青年教师的身体状况,已知老、中、青人数之比为eqIdb29e6e5262ad4b8cbeb6c71a0037f087,现用分层抽样的方法抽取容量为eqId6a64a6458938477ea9222d722f9cca2f的样本,其中老年有eqIdc70e4a8bf40d4467a2759de99457cd46人,则样本容量eqId565c0c49ebce41b480946bf7fdd6fd55(???)
                                                                                                                A.eqIdde42cf69212148f7998cfde0f0b65d41B.eqIda3c26e19114c48b6b04409a717064233C.eqIdbd83daee65b54ea0b08b0a5053d00fe5D.eqIdcf852bfa85474e8caea5c1c6ba14d324
                                                                                                                难度系数:0.94使用:312次题型:单选题更新:2019/5/11
                                                                                                                4 . 某人为了检测自己的解题速度,记录了eqId88b587390e9f4e23b08ee2281d28db07次解题所花的时间(单位:分)分别为eqIdc12aac8c2448479687a40735b3572a23eqId072d7d6b911b42bc89207e72515ebf5feqIde0eeda07e60a4aed8a08a7c643f5aa6ceqId5f00fc8ab4194ec1889988a2fef2d54aeqId91c32f5c71a443c992ee5de90f8a1fb0.已知这组数据的平均数为eqIde0eeda07e60a4aed8a08a7c643f5aa6c,方差eqIddb557bd3f548492389cd8c8fc8f11b45,则eqIdd19815a532034257a674c3829e21fe1e(???)
                                                                                                                A.eqId91f1a2f24e5a4f65b5924d33663e4b5cB.eqIdac858b7955204657b0bacd73e10b5e08C.eqIdc9b024bf02834740b61bab67d15ab6bdD.eqIdb41d1cdf0b214971b6e6ef782a4ff5b2
                                                                                                                难度系数:0.85使用:150次题型:单选题更新:2019/5/9
                                                                                                                5 . 用秦九韶算法求多项式eqId25edd0108edd452fb394c18642fd2c84eqId1a796752c3044bc28a044feb53df36ff时的值时,其中eqIdc32cdeb955014ecfb4a0484f4d8edb8e的值为(???)
                                                                                                                A.eqIdf661a6f3b61944c2a907b186f9093440B.eqId6688960e228d4b2a9998b6cea0ffa3a8C.eqId06db2e55d2fe4f9ca5e6390e174532e6D.eqIda25b9f1dc7e342bebca93cfd695c0451
                                                                                                                难度系数:0.85使用:373次题型:单选题更新:2018/6/21
                                                                                                                6 . 给出下列结论:
                                                                                                                (1)某学校从编号依次力eqIdc547194e9b6643ecbd2635f34d4e689aeqId5b8348a84d21426aa5d3efa2664e2592,…,eqIde80ad1704ce746e78bf0284e3be08db3eqIde80ad1704ce746e78bf0284e3be08db3个学生中用系统抽样的方法抽取一个样本,已知样本中有两个相邻的编号分别为eqId38c3251a37bb4130b30894377480cb5eeqId553702a91f6c43c1ad01b009ee8330ab,则样本中最大的编号为eqIdbd865f38142a417d91eeb8c2a2594d79
                                                                                                                (2)甲组数据的方差为eqId88b587390e9f4e23b08ee2281d28db07,乙组数据为eqId88b587390e9f4e23b08ee2281d28db07eqId2f7728fe80f947209f22d58b03308d9beqId0bcf9621a8bb47ecb6a155794287a4eeeqId11f75c152f5341f39d020095cecda9b3eqId88b587390e9f4e23b08ee2281d28db07,那么这两组数据中较稳定的是甲.
                                                                                                                (3)若两个变量的线性相关性越强,则相关系数eqIdd9026ce1966847eb86a5e13345fed583的值越接近于eqIdb41d1cdf0b214971b6e6ef782a4ff5b2
                                                                                                                (4)对eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3三种个体按eqIded989dc5a9bd41cd8649358899638905的比例进行分层抽样调查,若抽取的eqIdcc614bd3390c4d028df189b234dcc351种个体有eqIde08e2f786b334ecd9fb478d07da1207f个,则样本容量为eqId3155e514211a416bb998bcc87bd4bd3e.则正确的个数是(???)
                                                                                                                A.eqIdac858b7955204657b0bacd73e10b5e08B.eqIdc9b024bf02834740b61bab67d15ab6bdC.eqIdb41d1cdf0b214971b6e6ef782a4ff5b2D.eqIda86879ae304449a4a6e6461c485a1f13
                                                                                                                难度系数:0.65使用:291次题型:单选题更新:2019/2/24
                                                                                                                7 . 已知角eqIdf9db0aee08264a238b9741675591065e的顶点与原点重合,始边与eqIdc12aac8c2448479687a40735b3572a23轴非负半轴重合,终边在直线eqIde81a1dd451594e95ace1c31778a66fdf上,则eqId1a0de4a5dd364174b788c27170998562的值为(???)
                                                                                                                A.eqIdc251a532cfbe433ba34ca207708cbeb9B.eqId3c6ac5519ace431986cca8cb02e4f298C.eqIde9e378986d5e42098bdc5f82a4f12647D.eqIde1490df2d2c84688942d45fd01c90a85
                                                                                                                难度系数:0.65使用:488次题型:单选题更新:2019/4/15
                                                                                                                8 . 计算机中常用的十六进制是逢eqIdcf33d21da07a471b961463b526e1682eeqIdb41d1cdf0b214971b6e6ef782a4ff5b2的计数制,采用数字eqId131a4eb499304962926a5655e6beadffeqIde0c253252fce423a9975fc121169af00字母共eqIdcf33d21da07a471b961463b526e1682e个计数符号,这些符号与十进制数的对应关系如表:
                                                                                                                十六进制
                                                                                                                eqIda86879ae304449a4a6e6461c485a1f13
                                                                                                                eqIdb41d1cdf0b214971b6e6ef782a4ff5b2
                                                                                                                eqIdc9b024bf02834740b61bab67d15ab6bd
                                                                                                                eqIdac858b7955204657b0bacd73e10b5e08
                                                                                                                eqIdddd35c5d043e4ebeac32a99367053c68
                                                                                                                eqId8f65c930571d4ff6aa6a50029d46826e
                                                                                                                eqIdaaf8ec7e10e94a02a63c0fb8445e23ce
                                                                                                                eqIdacc37e80c47044a98b151a3210a65a72
                                                                                                                eqId401586f7a7f248b7904a4cfeaa2ed2f0
                                                                                                                eqId4787e48665de48879d2d6f360e7322b6
                                                                                                                eqIdcc614bd3390c4d028df189b234dcc351
                                                                                                                eqId8754ce8cf7f34f04abb9a0c041f57f5c
                                                                                                                eqId19a4eb16029e4550a14f2afe4741a3c3
                                                                                                                eqId0cd8063abf2b458f80091bc51b75a904
                                                                                                                eqId93cbffaa5ae045d6ac45d1e979991c3a
                                                                                                                eqIdd5b10b2a13f148b78e0d5a1b820538fd
                                                                                                                十进制
                                                                                                                eqIda86879ae304449a4a6e6461c485a1f13
                                                                                                                eqIdb41d1cdf0b214971b6e6ef782a4ff5b2
                                                                                                                eqIdc9b024bf02834740b61bab67d15ab6bd
                                                                                                                eqIdac858b7955204657b0bacd73e10b5e08
                                                                                                                eqIdddd35c5d043e4ebeac32a99367053c68
                                                                                                                eqId8f65c930571d4ff6aa6a50029d46826e
                                                                                                                eqIdaaf8ec7e10e94a02a63c0fb8445e23ce
                                                                                                                eqIdacc37e80c47044a98b151a3210a65a72
                                                                                                                eqId401586f7a7f248b7904a4cfeaa2ed2f0
                                                                                                                eqId4787e48665de48879d2d6f360e7322b6
                                                                                                                eqId11f75c152f5341f39d020095cecda9b3
                                                                                                                eqId23898fcefb244503b3f354a6a3c60966
                                                                                                                eqIdd26e1c1ac6e34f9c8f6a9ca17534a3dd
                                                                                                                eqId5838423b84ea462c830f783e48728d47
                                                                                                                eqId803b4aee63c746419263c2732c8e4064
                                                                                                                eqId29634438b8714c598420deae819c66a5
                                                                                                                ?
                                                                                                                例如,用十六进制表示eqId15a5b32ee9fe4e62aedfa05a76405f68,则eqId65a61eae72794cc097b30bfc84f58122等于(???)
                                                                                                                A.eqIdeee960a719fc4964b96dae9b9c8d04baB.eqId21aa686c667b435a910580c110433703C.eqIdd456731f9be244ca9b95e47cd91e0b78D.eqId42a8579c84304761bd3164f38f288cc6
                                                                                                                难度系数:0.85使用:648次题型:单选题更新:2014/9/25
                                                                                                                9 . 《九章算术》是中国古代的数学专著,其中的“更相减损术”可以用来求两个数的最大公约数,原文是:可半者半之,不可半者,副置分母、子之数,以少减多,更相减损,求其等也,以等数约之,翻译为现代的语言如下:如果需要对分数进行约分,那么可以折半的话,就折半(也就是用2来约分).如果不可以折半的话,那么就比较分母和分子的大小,用大数减去小数,互相减来减去,一直到减数与差相等为止,用这个相等的数字来约分.现给出“更相减损术”的程序框图如图所示,如果输入的eqId58cdf227a204408da78d598c0a55a868eqId8f0649e9bfc9447480b0edf2f5aa8da5,则输出的eqId1ddfa0aec14f47879475f6dc6c99c673(???)
                                                                                                                figure
                                                                                                                A.eqId2f7728fe80f947209f22d58b03308d9bB.eqId88b587390e9f4e23b08ee2281d28db07C.eqId91f1a2f24e5a4f65b5924d33663e4b5cD.eqIdac858b7955204657b0bacd73e10b5e08
                                                                                                                难度系数:0.85使用:235次题型:单选题更新:2019/1/8
                                                                                                                10 . 函数eqId3ac4547265cb4a64b2a8123b8cb0b8a4eqId213d42fdc62d4a1cb6da2c4f30b16cbd)的大致图象是(??)
                                                                                                                A.figureB.figure
                                                                                                                C.figureD.figure
                                                                                                                难度系数:0.65使用:733次题型:单选题更新:2017/12/23
                                                                                                                11 . 已知菱形eqId5ce7a06ae7a34393b92b5277978ac014的边长为eqIdc9b024bf02834740b61bab67d15ab6bdeqId9fc9ff4ae3f14c5db3b448681c041e44,点eqIdd7be5abad1e34f6db17a56660de8d54f满足eqId1c8fd568a684424b91abc496f9a0cb11eqId095c09a8db324e56b273d861a133c69e.若eqIdfb75f50fda7540618e683c41bf9d1a24,则eqIda20533c285d74dbeb02bd56638216f4d(???)
                                                                                                                A.eqIddb6b28cbd8a14caa9cf1146f6f7916c0B.eqId623d362a89ba4cf5a79cf4ee055f011bC.eqIda8012d5322b240128851ebf3cd086e12D.eqId3c6692e56fe34546a7c994f04c657445
                                                                                                                难度系数:0.64使用:599次题型:单选题更新:2016/2/29
                                                                                                                12 . 已知函数eqIda658311df33641f19036ebaefebc7222eqId4e32ba6486dd426fbf8954a9289c2ba8eqId4837c94ef0ff4dcf9b1dda4df363275a的零点,eqIda5b054d10d02416698c8b2fb6d110cb3eqIdc0091f63d9a640ed933753d284a03a04图像的对称轴,且eqId4837c94ef0ff4dcf9b1dda4df363275aeqId09094dbea9ee4f06b3179ccf67922f86单调,则eqIdf15782a6b93b49aeb4285c6f304dbe29的最大值为(???)
                                                                                                                A.eqIdb75e2112f0c84260bc7f40ccead241dcB.eqId0bcf9621a8bb47ecb6a155794287a4eeC.eqId23898fcefb244503b3f354a6a3c60966D.eqId1d2f6c0c1683406b8c8c8e748acee250
                                                                                                                难度系数:0.4使用:328次题型:单选题更新:2019/5/6
                                                                                                                二、填空题
                                                                                                                13 . 已知扇形eqId5f0bfa1486d74501a6ac424f8d442778周长为eqIdac858b7955204657b0bacd73e10b5e08,当扇形面积最大时,扇形的圆心角eqIdc13953f2514e4c8f9c8aaaf5241c33ac为__________.
                                                                                                                难度系数:0.94使用:138次题型:填空题更新:2019/5/6
                                                                                                                14 . 已知程序(如图所示):若输出eqId072d7d6b911b42bc89207e72515ebf5f的值为eqIdaaf8ec7e10e94a02a63c0fb8445e23ce,则输入eqIdc12aac8c2448479687a40735b3572a23的值为__________.figure
                                                                                                                难度系数:0.85使用:412次题型:填空题更新:2018/5/9
                                                                                                                15 . 已知平面向量eqId25ce56bbb1a8420b979559c33aa9a4d6eqIde4738f9b1dc046019522b80569f6edbbeqId2d572d2e29374597969a2ff39859827d满足eqId28d5d46cfeba4c5e8c1f31d897d2d0c5,若eqId95acf867f0184104bf8e74b3fce84a88,则eqId4156962cecfc47e1ac751a51a876b698的最小值为______.
                                                                                                                难度系数:0.85使用:29次题型:填空题更新:2019/6/7
                                                                                                                三、解答题
                                                                                                                16 . 如图,已知单位圆轴正半轴交于点,当圆上一动点出发沿逆时针旋转一周回到点后停止运动.设扫过的扇形对应的圆心角为,当时,设圆心到直线的距离为的函数关系式是如图所示的程序框图中的①②两个关系式.

                                                                                                                (1)写出程序框图中①②处的函数关系式;
                                                                                                                (2)若输出的值为,求点的坐标.
                                                                                                                难度系数:0.65使用:168次题型:解答题更新:2018/6/21
                                                                                                                17 . 一微商店对某种产品每天的销售量(件)进行为期一个月的数据统计分析,并得出了该月销售量的直方图(一个月按30天计算)如图所示.假设用直方图中所得的频率来估计相应事件发生的概率.

                                                                                                                (1)求频率分布直方图中的值;
                                                                                                                (2)求日销量的平均值(同一组中的数据用该组区间的中点值作代表);
                                                                                                                (3)若微商在一天的销售量超过25件(包括25件),则上级商企会给微商赠送100元的礼金,估计该微商在一年内获得的礼金数.
                                                                                                                难度系数:0.65使用:333次题型:解答题更新:2019/3/2
                                                                                                                18 . 已知eqId25ce56bbb1a8420b979559c33aa9a4d6eqIde4738f9b1dc046019522b80569f6edbbeqId2d572d2e29374597969a2ff39859827d是在同一平面内的三个向量,其中eqId4f82d13175f34d1a9bd5ff05b256fe94
                                                                                                                (1)若eqIda9e85dd9222144c0b42ea985e4f4e572,且eqId7ec8cb82e5a84f5799c23019ecc661ed,求eqId2d572d2e29374597969a2ff39859827d坐标;
                                                                                                                (2)若eqId2d2cbd28b263462cac53769c7048a610,且eqIde545c4efa0a04a6aa511bd3d5cde7f66,求eqId25ce56bbb1a8420b979559c33aa9a4d6eqIde4738f9b1dc046019522b80569f6edbb的夹角eqIdf9db0aee08264a238b9741675591065e
                                                                                                                难度系数:0.4使用:2705次题型:解答题更新:2014/3/29
                                                                                                                19 . 某商店为了解气温对某产品销售量的影响,随机记录了该商店eqIdac858b7955204657b0bacd73e10b5e08月份中eqId88b587390e9f4e23b08ee2281d28db07天的日销售量eqId072d7d6b911b42bc89207e72515ebf5f(单位:千克)与该地当日最低气温eqIdc12aac8c2448479687a40735b3572a23(单位:℃)的数据,如表所示:
                                                                                                                eqIdc12aac8c2448479687a40735b3572a23
                                                                                                                eqIdc052ddfbd4524f67a79e0e77c2e5656a
                                                                                                                eqId88b587390e9f4e23b08ee2281d28db07
                                                                                                                eqId401586f7a7f248b7904a4cfeaa2ed2f0
                                                                                                                eqId4787e48665de48879d2d6f360e7322b6
                                                                                                                eqId23898fcefb244503b3f354a6a3c60966
                                                                                                                eqId072d7d6b911b42bc89207e72515ebf5f
                                                                                                                figure
                                                                                                                eqId11f75c152f5341f39d020095cecda9b3
                                                                                                                eqId401586f7a7f248b7904a4cfeaa2ed2f0
                                                                                                                eqId401586f7a7f248b7904a4cfeaa2ed2f0
                                                                                                                eqIdacc37e80c47044a98b151a3210a65a72
                                                                                                                ?
                                                                                                                (1)求eqId072d7d6b911b42bc89207e72515ebf5feqIdc12aac8c2448479687a40735b3572a23的回归方程eqIdaa7f9aaf6bca4166b27f7fc39bceb3be
                                                                                                                (2)判断eqId072d7d6b911b42bc89207e72515ebf5feqIdc12aac8c2448479687a40735b3572a23之间是正相关还是负相关;若该地eqIdac858b7955204657b0bacd73e10b5e08月份某天的最低气温为eqId4b45badc4b9445c2a9384e00f7a872b2,请用(1)中的回归方程预测该商店当日的销售量.
                                                                                                                参考公式:eqId94d456e96283446798ceb6d65744cd62eqId73ca157f3c604872bdbcdf77e98946b4
                                                                                                                难度系数:0.85使用:190次题型:解答题更新:2019/5/6
                                                                                                                20 . (本小题满分11分)某同学用“五点法”画函数在某一个周期内的图象时,列表并填入了部分数据,如下表:

                                                                                                                0





                                                                                                                ?

                                                                                                                ?

                                                                                                                ?

                                                                                                                0
                                                                                                                5
                                                                                                                ?

                                                                                                                0
                                                                                                                ?
                                                                                                                (Ⅰ)请将上表数据补充完整,填写在答题卡上相应位置,并直接写出函数的解析式;
                                                                                                                (Ⅱ)将图象上所有点向左平行移动个单位长度,得到的图象.若图象的一个对称中心为,求的最小值.
                                                                                                                难度系数:0.4使用:1178次题型:解答题更新:2015/6/24
                                                                                                                21 . 设平面向量eqId1e5521a9097748979a890061e6a532c2eqId6f0645a49e234478bf19b973b9b8852e,函数eqIda4771eea9fd145a3a7e3d4f2e4598504
                                                                                                                (1)求eqId4837c94ef0ff4dcf9b1dda4df363275a的最小正周期,并求出eqId4837c94ef0ff4dcf9b1dda4df363275a的单调递增区间;
                                                                                                                (2)若锐角eqIdc13953f2514e4c8f9c8aaaf5241c33ac满足eqIda12c8a08f73d4366acebecf0f6a2134c,求eqId61ef0f7b03134f7ca07a99faafa26daa的值.
                                                                                                                难度系数:0.65使用:2978次题型:解答题更新:2018/3/11
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