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天津市十二区县重点学校2020届高三下学期毕业班联考(二)数学试题
适用年级:高三 试卷类型:其他 试题总数:20 浏览次数:206 上传日期:2020-06-30
1 . 已知全集eqIdb7d3ce59ebf842c2b0e881956cba4535,集合eqId15cf398b191041d8bf013260baf915a3eqId585f4a8560c9470dacd016e43589d901,则eqIdb4e1ef540fb54487b0641eb524b355a4( )
A.eqIdbf571fc186f64e87b3e70f4d826a8110B.eqIde7d1c26d54ad46ceab47ce4cfcef8d21
C.eqIdce94baa9b1154a39a4a67fdd291d52a8D.eqIde04ccae7f9f849eca15d0fdce7cd4d6b
更新:2020/06/30难度:0.85题型:单选题组卷:4076
2 . 设eqId6f8cda271770473d97b20355722d03f1,则“eqIdb8bb672b651146c1897ebcf908773475”是“eqId71468c490adf400eade9293ef5c6bf4f”的(   )
A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件
更新:2020/06/30难度:0.94题型:单选题组卷:175
3 . 某学校组织部分学生参加体能测试,成绩的频率分布直方图如图,数据的分组依次是eqId9505d61675974a71b5ebcf83a741fd18eqIda1fc3cee1dfc4a78b16a6c9be8a63cabeqIdbee47652e833437d93452e35590794b3eqId3d7ebd64cc234655898aeab5e859130f.若低于60分的人数是18人,则参加体能测试的学生人数是(   )
figure
A.45B.48C.50D.60
更新:2020/06/30难度:0.94题型:单选题组卷:115
4 . 已知eqId3889c142b45d42fa93c5fcdd87fde58e的展开式中常数项为112,则实数a的值为(   )
A.eqId6a802b6dfc63409ea3b8e335120efdbaB.1C.2D.eqIdfb1a9e8b2c5e459285cb49c7286f3764
更新:2020/06/30难度:0.85题型:单选题组卷:237
5 . 抛物线eqIdd050af449075401299cc78c647d310e8的焦点到双曲线eqId9aca4748e10b4a46802f26823a3e28c6的一条渐近线的距离是eqId5f816d038c584dc7a249120298677ef3,则双曲线的实轴长是(   )
A.eqIda2a0ce3781fa4c26b624f5966b7dee44B.eqId7bcd573cee334383ad72cc4b179fcfb3C.1D.2
更新:2020/06/30难度:0.85题型:单选题组卷:136
6 . 函数eqId5076c83bdb8e4ccd907b84d8317ec091的部分图像大致为(   )
A.figureB.figure
C.figureD.figure
更新:2020/06/30难度:0.85题型:单选题组卷:326
7 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在R上的偶函数,且在eqId176a569ddabd4e4482d9ab5af6e2d6ea上单调递增,则(   )
A.eqId6c7df08e2ba84fe2a8069eee217db1d7B.eqId68d59404b97549cc9f154d73c0caf9c2
C.eqIdd3a3b830df4c4f69b8a3d574879ba155D.eqId597acc5ae35546018762b41bc7232ef9
更新:2020/06/30难度:0.65题型:单选题组卷:243
8 . 已知函数eqIdc1a11fe1cf7a464e80f5a43ec1cbe713,若函数eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqId44fccf9d1b8a4ca7859d8be7e202e8d3上有且只有两个零点,则eqIdf15782a6b93b49aeb4285c6f304dbe29的取值范围为(   )
A.eqIdfc43f638f8e74e17960c05c57af77edeB.eqId7cd74430e1594552b3debec5415147adC.eqId21d881442bf34441adf560a5aa33f019D.eqId1b9dc09b7dd54a728f2cecf963190467
更新:2020/06/30难度:0.65题型:单选题组卷:171
9 . 已知函数eqIdd41739ece70b44b1a3c6ae7a6cc0ecad,若关于eqId8e15963708e9415da25069fea5906e24的不等式eqIda08522e901fd4ac29af14175e220f229的解集为eqIdb9938796483b46e3b7c532e80ff65174,且eqIde0a8f19e25b04a60ba78e7c15291c0beeqIded15b4453e29410c8e4285af3313ee97,则实数t的取值范围为(   )
A.eqIdf809ca8ebb97465b8e502f88e2b59c9aB.eqId6ed9fe7603524b9499ee1d6ae65723bcC.eqId048bb66adaef42f5b7d48f5673864067D.eqId235490a9c41c4a12b77f645f15233ddc
更新:2020/06/30难度:0.4题型:单选题组卷:68
10 . 已知复数eqId0c4336bf68ad490f9951ea63fdf2cce1,则复数z的共轭复数eqIdc3970eb5f5e146d8b1660f4058b206de_________
更新:2020/06/30难度:0.85题型:填空题组卷:96
11 . 过点eqId15e914774ab1459c9ab8c4cf34a60583,倾斜角为eqIdeacabdda233342049ddc066b54feb1fe的直线eqId417e80f1349244878d01fe90e0891f5f交圆eqId30664c6aea7944048d4bc1c024217e0beqIdeb53cb7cb0274f7d8f111c60f824c243两点,则弦eqId99a3187c2b8f4bcc9703c74c3b72f1f3的长为_________
更新:2020/06/30难度:0.85题型:填空题组卷:98
12 . 农历五月初五是端午节,民间有吃粽子的习惯,粽子又称粽籺,俗称粽子,古称“角黍”,是端午节大家都会品尝的食品,传说这是为了纪念战国时期的楚国大臣、爱国主义诗人屈原.如图,平行四边形形状的纸片是由六个边长为2的正三角形组成的,将它沿虚线对折起来,可以得到如图所示粽子形状的六面体,则该六面体的体积为______________figure
更新:2020/06/30难度:0.65题型:填空题组卷:100
13 . 某校在高一年级一班至六班进行了“社团活动”满意度调查(结果只有“满意”和“不满意”两种),从被调查的学生中随机抽取了50人,具体的调查结果如表:
班号
一班
二班
三班
四班
五班
六班
频数
4
5
11
8
10
12
满意人数
3
2
8
5
6
6
 
现从一班和二班调查对象中随机选取4人进行追踪调查,则选中的4人中恰有2人不满意的概率为___________;若将以上统计数据中学生持满意态度的频率视为概率,在高一年级全体学生中随机抽取3名学生,记其中满意的人数为X,则随机变量X的数学期望是___________
更新:2020/06/30难度:0.65题型:双空题组卷:53
14 . 已知eqId2d569479cd1c43c1af15895792b64db6eqId8ba9197540c04cb6a2805f8bc9ae3f1deqId498379487e6448fda05d61460bf4bc8f,则eqId0268d96e4d674fb8bdf216e502778346的最小值为_______
更新:2020/06/30难度:0.65题型:填空题组卷:157
15 . 如图,在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqIdb60bb1649c8b41cb935771acc097167eeqId1066d49377fa400a91c2b9e99d77526cDE分别是直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqIdcf2da96900c948a1b3ce7cbfd420c080上的点,eqId726160425f9c4ed6a317f002915f3923eqId149b34349d764d6faee67d7db94c4796,且eqIdcac9c418d4294edfbbc38a19e6447c60,则eqId5c1d1925eb1d4e9897d5595aef199599_________figure
更新:2020/06/30难度:0.65题型:填空题组卷:52
16 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角ABC的对边分别为abc,若eqId7238c608aba3427b868737246fa1a264eqIdd987913b57504c1f812e187a5900c578
(1)求eqId57e686e383a34c2e9d7b5086337471ba的值
(2)求eqId429212de499042e88f442a5eca2ac662的值.
更新:2020/06/30难度:0.65题型:解答题组卷:161
17 . 如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,eqIde78cce043a6c43329b55788351ff3484平面eqId5ce7a06ae7a34393b92b5277978ac014eqId588db7aaf8e34ddc82aa8ca1e4b643c7,且eqIdbc80a18d7d3e40b1954e254a97cea48feqId13637366837249fbbf86348e4b98243ceqId2cff8bb15a6f40b4b8d3a7db8568c469eqId0b41933f3f7647429efcc3648201f207eqIdeecb96c84ba340069d573f6c1caefbbbNeqIdd293923b221045898dcc5442f88aa67a的中点.
figure
(1)求证:eqIdd370f624d3174c82ba39e0c92ac873ba平面eqId0902deb68f0b430f932caadd41cd761a
(2)求平面eqId02dc5b9712104a18adc92a366a8c2455与平面eqId0902deb68f0b430f932caadd41cd761a所成锐二面角的余弦值
(3)在线段eqIdd293923b221045898dcc5442f88aa67a上是否存在一点M,使得直线eqId8bf9f946e82248fea882e001e101c571与平面eqId0902deb68f0b430f932caadd41cd761a所成角的正弦值为eqIdac8ad47969734f1d8ebf090906e707ab,若存在,求出eqId74a31342043044dcb9722cc0165513a2的值;若不存在,说明理由
更新:2020/06/30难度:0.65题型:解答题组卷:170
18 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知椭圆EeqId15bfbddeee0143e08c809ecf76ffb129的离心率是eqId5f816d038c584dc7a249120298677ef3,短轴长为2,若点AB分别是椭圆E的左右顶点,动点eqId1c31ba40129548d58134f2eb8f26a7d2eqId28eff9c0654b453688a38f42db97d0a4,直线eqIdccb2940410f343d2a798a82e0fee4bbd交椭圆EP点.
(1)求椭圆E的方程
(2)①求证:eqIdc97981d7991f4105a07b94fd4263491a是定值;
②设eqId1d86496a672b433599927de4de68ed90的面积为eqIde0b0a69153d74086acac0f2b28878dec,四边形eqId4884e93dcbf84fd3beca260c353140e6的面积为eqIdc36de5c6d722440e9911d9802c4068f8,求eqIdb297e74e95ff430b8bcf66c687849ca5的最大值.
更新:2020/06/30难度:0.65题型:解答题组卷:117
19 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,且eqId032284ef281340a78dbf643944ff8cd4eqId5ee5d76b0541454081cbea39be9eb2cb,数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前n项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,且eqIdac93a7ee985e43abaf511e2dc6e24fcd.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式.
(2)设eqIdb83efb2779ee400b85b7c85e0db61b37,数列eqId74ef5fe5183946caaee41d8974816a20的前n项和为eqId1c7c01488de74ef0834b18ba2fb56e7d,求eqId1c7c01488de74ef0834b18ba2fb56e7d.
(3)设eqId79eb5e63ffaf43ba944d8725313d9430,求数列eqIddf3b4f7c7d3242ac80387dabc060683a的前n项和.
更新:2020/06/30难度:0.65题型:解答题组卷:102
20 . 设函数eqId976799d94d1d4cab83312ad47a5233a8的定义域为eqId3c97a3ab3812488a9e5e850a30393644,其中eqId810aeda4de73403c82c85d69dbc1cb18eqIdca4ab76061b14cdfbb5b2cb8cf37b9c0.
(1)若eqId23ea4783585b4c719f3296631ee6eade,判断eqId4837c94ef0ff4dcf9b1dda4df363275a的单调性;
(2)当eqIdc65c99cdd6c04cfe85048bbb17bee998,设函数eqId0831c07383dc4f769d0e1f0825668c8a在区间eqIde327c47000b04c6daee727c47be19120上恰有一个零点,求正数a的取值范围;
(3)当eqId0be4e678c13c4855b0d3f5c45188da09eqId2f8ce3cba715447096349183cf954a8e时,证明:对于eqId49fe0669de4f42d6a3c499fd703c62b9,有eqId7cdb21e799854ec987f8e4f4beeb5b34.
更新:2020/06/30难度:0.4题型:解答题组卷:65