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天津市第一中学2019届高三下学期第五次月考数学(文)试题

适用年级:高三试卷类型:月考试题总数:20浏览次数:54上传日期:2019/6/5
一、单选题
1 . 设集合eqId362c19a8206f4035948621e934220bb1,eqId52d4d3a247924ea0a9fc448c046d56ea,则eqId664ded0ed7e546cfbe37fdb402fb3c88(??)
A.eqIda084f9e550ac4d6ab0a7dd09e02d01dfB.eqIdcd80125df89e45099236ba9705683e22C.eqId5a492c2b88604615ad22e524a89ce8d0D.eqIdc415a74dbc25476191221dfd056b4929
难度系数:0.65使用:80次题型:单选题更新:2019/6/5
2 . 已知变量,满足约束条件,则目标函数的最小值为(????)
A.B.C.D.
难度系数:0.65使用:284次题型:单选题更新:2017/4/19
3 . 执行如图所示的程序框图输出的结果是(?)
figure
A.6B.7C.8D.5
难度系数:0.65使用:46次题型:单选题更新:2019/6/5
4 . 设eqIdc9f6e33170ea48a797d73c1ca20d4e65,则“eqId5cf8ea7b3ece4db3a73c8acc2acc43f9”是“eqId1f39880481304b1499507442cb1023c2”的(?)
A.充分而不必要条件B.必要而不充分条件
C.充要条件D.既不充分也不必要条件
难度系数:0.65使用:76次题型:单选题更新:2019/6/5
5 . 已知定义在eqId7dcd2312d0bf4bb1befdfcc170e45791?上的偶函数 eqId4837c94ef0ff4dcf9b1dda4df363275a满足:当eqIda51c5ea798974c5799db4f57d0890966时,eqId5e4413e5d7f64f7e8e1f86811d259cdf,若eqId50b590125fa04fd2932dd37e9d6566d2,则eqId0ce93bfa1f6a4a23b3258410dd19847a的大小关系是(?)
A.eqId776d36501dd0465fab679f02627d8baeB.eqId00fddcb3edf84c46967ff88ae30002aaC.eqId8e687d2b26004f8dbc729a7f9b385996D.eqIdf486f0be70af43deb8ede3f118381adf
难度系数:0.65使用:53次题型:单选题更新:2019/6/5
6 . 若将函数eqId2946dbd8207146f0bb1c3304e1cf887d的图象向右平移eqId9944b336d62e44a88302d7cefecf2681个单位,所得图象关于eqId072d7d6b911b42bc89207e72515ebf5f轴对称,则eqId736d17c499f74f03ad40ebe2d278f1ac的最小值是(?? )
A.eqIdef647a29253f4ca485794d85c47b4a64B.eqIdeacabdda233342049ddc066b54feb1feC.eqId84fe6ce57d8549999ce620f53904f318D.eqIdf79315d996294eabad5b556a0d2d10d0
难度系数:0.65使用:355次题型:单选题更新:2019/4/21
7 . 已知双曲线eqIdceed1a7797e443d9abdce2f0c8179d8e的左焦点为eqIdd5b10b2a13f148b78e0d5a1b820538fd,第二象限的点eqId2381423d4cd146cab95f55527681a766?在双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的渐近线上,且eqIdb254f4b8dff34f178065831d4a91cd5a,若直线eqId65dba710164e4f63829d13918e158f7a?的斜率为eqId84bb3bf2bcd4450c85dd7570191c36fc,则双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的渐近线方程为(?)
A.eqIdc2209b2d660f4a1494a2111fa23e8716B.eqId68c17be9b7374e8d928fda0d23b4a310C.eqId7fce9ddaf84c4c8dbc7d1a809272a348D.eqIdd73b482f82a2447a8a5abae3ae5de799
难度系数:0.65使用:577次题型:单选题更新:2017/5/3
8 . 如图,在eqId9668c593319f4c908c13e5d6fbf991f8中,eqIdd263e1d9e82a407197d5ba35908aff8d,eqIdd7be5abad1e34f6db17a56660de8d54feqIdccfc85989cfa418badd1721049a70165上一点,且满足eqIdadc89bfcf4754c91b71676e5e6371d0e,若eqId9668c593319f4c908c13e5d6fbf991f8的面积为eqId7bcd573cee334383ad72cc4b179fcfb3,则eqId83dc4e17cb6344bab95b6d93486c31eb的最小值为(?)
figure
A.eqId94cd6242e9394c5b9aba165383223193B.eqId6b435efa1a0347f38984c02e0d4f5b72C.3D.eqIda659034d60754179a1089d9eeea40477
难度系数:0.4使用:1276次题型:单选题更新:2019/2/2
二、填空题
9 . 已知复数eqId2cd9e2fe3d6540df9399dbefe49ada54?满足eqId90d01053d5234aabac92f0a226f92d43,则eqId705acd54ee6740c69fcd89a7a1d12157______________.
难度系数:0.85使用:41次题型:填空题更新:2019/6/5
10 . 已知eqId432a5901c6fd4511b91587cff5221eb7eqId98543886b76f494781d6d985fee5b822为常数)在eqId5db4a4f976ba42089c0439595abeb40b处取极值,则eqId98543886b76f494781d6d985fee5b822的值为______________.
难度系数:0.65使用:446次题型:填空题更新:2019/1/29
11 . 已知正四棱锥底面边长为eqIdc052ddfbd4524f67a79e0e77c2e5656a,表面积为eqIdd26e1c1ac6e34f9c8f6a9ca17534a3dd,则它的体积为___________.
难度系数:0.65使用:64次题型:填空题更新:2019/6/5
12 . 椭圆eqId24454b5c394946168d06488b0ff1d83a的离心率是eqIddb6b28cbd8a14caa9cf1146f6f7916c0,则eqId9ae1f7e29eb441feaf73ef07974cb315的最小值为___________.
难度系数:0.65使用:74次题型:填空题更新:2019/6/5
13 . 已知函数eqIdb373c339e7244bbe98490e023f8d8d8f,若关于eqIdc12aac8c2448479687a40735b3572a23的方程eqId83ea772dc408499c973fe04d8ac0c9d2有且只有 3个不同的实根,则eqId4d2187284c5d4de29906363f7d21f60f的取值范围是__________.
难度系数:0.4使用:277次题型:填空题更新:2017/6/8
三、解答题
14 . 圆心在直线eqIdbd94e56be7a845b88f4062020526c793上,且与直线eqId5d97ace52937414bbd6e1877a9f85c95相切于点eqIdde1be7f3d59341a5a85b269a49a0d4d3的圆的标准方程为___________.
难度系数:0.65使用:102次题型:解答题更新:2018/11/19
15 . 已知eqId9668c593319f4c908c13e5d6fbf991f8的内角eqId38b55ed6453843a1b310edd4999dff16的对边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,且eqId16e7bd18e9cf436aa555976c35ca58e0eqIdd49bb3d224144e9ba9e9244858dd3757,eqId320b5bbe09154955b5554f36999f5d9e.
(1)求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(2)求eqId3461966b7224413c9cb8ea119a65d44e的值.
难度系数:0.65使用:480次题型:解答题更新:2019/4/2
16 . 某区的区人大代表有教师6 人,分别来自甲、乙、丙、丁四个学校,其中甲校教师记为eqId1a6c2ab1a8db4a1c9d74da4f267a15ad,eqId1027629558ab468ba89fbdef6e906779,乙校教师记为eqId637628572bfa47abbd1ad7e95f8b9f5a,eqIdea32148ee017465ead69e8d686d29b26,丙校教师记为eqId19a4eb16029e4550a14f2afe4741a3c3,丁校教师记为eqId0cd8063abf2b458f80091bc51b75a904.现从这6 名教师代表中选出 3 名教师组成十九大报告宣讲团,要求甲、乙、丙、丁四个学校中,每校至多选出1名.
(1)请列出十九大报告宣讲团组成人员的全部可能结果;
(2)求教师eqId1a6c2ab1a8db4a1c9d74da4f267a15ad被选中的概率;
(3)求宣讲团中没有乙校教师代表的概率.
难度系数:0.65使用:497次题型:解答题更新:2018/6/6
17 . 如图,在四棱锥eqId3f58cef1551f4f79915ab9c060da8aa7?中,底面eqId5ce7a06ae7a34393b92b5277978ac014为矩形,eqId29788747531c4a3e937cd2ecc506ebe3平面eqId5ce7a06ae7a34393b92b5277978ac014,二面角eqId31d6724032b841dcbef132fbeab03691的平面角为eqId247adcb0c00f43fbb68bd8b6106867f6,eqId2381423d4cd146cab95f55527681a766eqId99a3187c2b8f4bcc9703c74c3b72f1f3中点,eqId8eea7f6267fb49d9bce12b8ba079a43eeqId20acf9be4aea46e5966109b416adc8e6中点.
figure
(1)证明:eqIded538b6f5d1747798f8c3546be7cffc2平面eqIdea5497c71ca4477e99cb784c4076f7af;
(2)证明:平面eqId49de6720a9cf4b009c6fde3941bc699e平面eqId064997429f03429f9e5461aa2cffc184;
(3)若eqId965c4997db794faca94709e5fc38bea2,求实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的值,使得直线eqId0bed7a3a4d904deca9ecb36d75b80fe9与平面eqId064997429f03429f9e5461aa2cffc184所成角为eqId7e70a9456f374c0e9f380c17b146f34a
难度系数:0.65使用:90次题型:解答题更新:2019/6/5
18 . 已知首项都是eqIdf1bd69290a464f71ac73b93c51985105的数列eqId61ca3a7295454cf8bc8fce62f79a9b17满足eqIda202232a886641d9b0e28c82634dcbaa.
(1)令eqId5832981aaeae4144bde36d7c4034fea5,求数列eqId74ef5fe5183946caaee41d8974816a20的通项公式;
(2)若数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63为各项均为正数的等比数列,且eqId6cc1a8898b45474b9fbeeba507c5c4fc,求数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdb5d9d4dab47741dea8a5edac25aceca3项和eqIddb5481de79c946c0a760143297d5eade.
难度系数:0.4使用:325次题型:解答题更新:2015/3/18
19 . 已知椭圆eqIdbf51ad5b78ed4b0bbdcb0d3e352fb14f的左、右焦点为eqId781b180087e5422586ae156a59b7e7a4的坐标满足圆eqIdca9308a4ebd84ed8a28d8a519a8dbb39方程eqIdfda1bf3ab76a42f2a78cd72c241511c6,且圆心eqIdca9308a4ebd84ed8a28d8a519a8dbb39满足eqId781fd3b763a646ab829112f526c545fc.
(1)求椭圆eqId89f304d65276434e9d4128cdd7fe2e9e的方程;
(2)过点eqIdf738ad4620c843ebad3d5076187aff42的直线eqId3f5e334f1e0b4e02927da927b5602d8e交椭圆eqId89f304d65276434e9d4128cdd7fe2e9eeqIdcc614bd3390c4d028df189b234dcc351、eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,过eqIdd7be5abad1e34f6db17a56660de8d54feqId86b5043c53d04c5e9e7795a0ce28f730垂直的直线eqId29835a407c984e15b8cc79dff503c7a6交圆eqIdca9308a4ebd84ed8a28d8a519a8dbb39eqId19a4eb16029e4550a14f2afe4741a3c3、eqId0cd8063abf2b458f80091bc51b75a904两点,eqId2381423d4cd146cab95f55527681a766为线段eqIdccfc85989cfa418badd1721049a70165中点,若eqIdcff67acf0d5e41ddb2207abd038271c2的面积 eqId3717de5f97004787a2992eb886872cf1,求eqId4d2187284c5d4de29906363f7d21f60f的值.
难度系数:0.65使用:57次题型:解答题更新:2019/6/5
20 . 已知函数eqId33ca780262874006b83b6fde5cd90cd6
(1)当eqId07889841d0f346529f41b00862d47f05时,直线eqId3c3386c0c6d44509beaf40a579858346eqId4837c94ef0ff4dcf9b1dda4df363275a相切,求eqId3a4208e0040c42ed8b09de2cae9d562e的值;
(2)若函数eqId4837c94ef0ff4dcf9b1dda4df363275aeqIddca4c31f92e1447fb6eceb9fdf294175内有且只有一个零点,求此时函数eqId4837c94ef0ff4dcf9b1dda4df363275a的单调区间;
(3)当eqId982da3835b7946d999cc8604a2ece266时,若函数eqId4837c94ef0ff4dcf9b1dda4df363275aeqId5fd8f82a519546549ddf22362704c3de上的最大值和最小值的和为1,求实数eqId70a27b6ddf6b478285353abb3b1f3741的值.
难度系数:0.4使用:276次题型:解答题更新:2019/4/11
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