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吉林省蛟河市第一中学校2018-2019学年高二下学期第三次测试数学(文)试题

适用年级:高二试卷类型:月考试题总数:21浏览次数:104上传日期:2019/7/11
1 . 已知集合eqIdfb52aeb12b36476da44583463eec741d,集合eqId1510340bf9564755888729ac884a7b13,则eqIdd321c2c4c0c74ea09a1712449cceca7e(  )
A.eqId2a8b5e84136d4e85a15523808172b84dB.eqId77d298ca843e4f508d3c11866b9efb38
C.eqIddc5958df22d74aeba6add9a155375548D.eqIdd21e56f2b78a469bb8817262d63608d0
难度:0.94组卷:254题型:单选题更新:2019/5/6
2 . 若eqIda59eb6ab252a4b20b33162614a4325ea为纯虚数,则实数eqId3a4208e0040c42ed8b09de2cae9d562e的值为(  )
A.-2B.2或-3C.3D.-3
难度:0.85组卷:261题型:单选题更新:2019/7/11
3 . 在满足极坐标和直角坐标互的化条件下,极坐标方程eqId81c9de58bde14253a06dd20894a80da0经过直角坐标系下的伸缩变换eqId201d207a46174d5481bdfe3da44f893f后,得到的曲线是(   ).
A.直线B.椭圆C.双曲线D.圆
难度:0.65组卷:409题型:单选题更新:2018/9/30
4 . 下列函数中,在eqId176a569ddabd4e4482d9ab5af6e2d6ea内单调递减的是(     )
A.eqIdba64a5ff802146758387fbe5b3425cf0B.eqId50fc26170b274fcda32128739ef359e4
C.eqIddfd48f1a066d4e40867f40bf9b59344fD.eqIdf704062db65149a2826a91d93a7d8575
难度:0.94组卷:659题型:单选题更新:2019/3/15
5 . 执行如图所示的程序框图,输出的eqId306e35a0bcc740e4a62cbfc4e760e1e0值为(   )
figure
A.eqId8898c1dc81824f3098bbeae74e8f11fdB.eqId40e63e4102014d8a8a6a848785ea9cd5C.eqId11f75c152f5341f39d020095cecda9b3D.eqIdad28ab38a6f54dd093dc03c40c5c585c
难度:0.94组卷:417题型:单选题更新:2020/1/5
6 . 若eqId50dc3b68a79b495e8967b9454e7b65eeeqId2115f39b5eb44ae1b21da7fe6a8cf90ceqIdca3f698f2a864c779dbe631378820997,则eqId0ce93bfa1f6a4a23b3258410dd19847a的大小关系是(   )
A.eqIde20b3cdceb054975bbbb3a4598602bafB.eqIdde23c9bee5f2497a98f967afa9b73a7aC.eqId45615ef0900647268b98d1d5eeb28a58D.eqId2cf6c501fcaf451c89bbbe8a7b5da7ad
难度:0.85组卷:733题型:单选题更新:2019/12/30
7 . 满足条件eqId46fc48af515347fbb56eacba3642af00的复数eqId2cd9e2fe3d6540df9399dbefe49ada54在复平面上对应点的轨迹是(    ).
A.椭圆B.两条直线C.圆D.一条直线
难度:0.65组卷:250题型:单选题更新:2019/7/11
8 . 设eqId2c07a82215514a4eaf0b1325853b8f48,函数eqId60cbe6cb937d4fb68ff7df21433692c8,若eqId9c4c248349174e5fbcfda77ad723e446 则eqId12e0f8295c4c46c0ba7b5ebca28f1534等于(  )
A.8B.4C.2D.1
难度:0.94组卷:622题型:单选题更新:2016/12/6
9 . 设曲线eqId19a4eb16029e4550a14f2afe4741a3c3的参数方程为eqIdf8697ff4f59a412c9a7b97dce8045a4e,直线eqId417e80f1349244878d01fe90e0891f5f的方程eqIda3c5c1c4263d40fba2744d95174cbccb,则曲线eqId19a4eb16029e4550a14f2afe4741a3c3上到直线eqId417e80f1349244878d01fe90e0891f5f的距离为eqId2411e237a6024ba5812575d3840e3781的点的个数为(  )
A.1B.2C.3D.4
难度:0.65组卷:366题型:单选题更新:2019/4/12
10 . 下面使用类比推理,得到的结论正确的是(   )
A.直线eqId0ce93bfa1f6a4a23b3258410dd19847a,若eqIdb4de0995c54f41c887e972e40bfe129b,则eqIda5fe91574e254380a678c6a3cc03d027.类比推出:向量eqId79278fbad9394eeb8334c45b2b2c4bfeeqIdb30dbe857af942cda2d347158a291ef4eqId008873c37bf2417e9afa4bc09ddd38f4,若eqId79278fbad9394eeb8334c45b2b2c4bfeeqIdb30dbe857af942cda2d347158a291ef4eqIdb30dbe857af942cda2d347158a291ef4eqId008873c37bf2417e9afa4bc09ddd38f4,则eqId79278fbad9394eeb8334c45b2b2c4bfeeqId008873c37bf2417e9afa4bc09ddd38f4.
B.三角形的面积为eqIdd4d1058fbf1a4590a945d3dedceaa60b,其中eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1为三角形的边长,eqIdd9026ce1966847eb86a5e13345fed583为三角形内切圆的半径,类比推出,可得出四面体的体积为eqId063236ab5d0f42afba7e24eea02f5d10,(eqIde0b0a69153d74086acac0f2b28878deceqIdc36de5c6d722440e9911d9802c4068f8eqIdc76fa52010534e50926a7629658fd2b3eqId9cf3535e10f14da398ef323261c4b96a分别为四面体的四个面的面积,eqIdd9026ce1966847eb86a5e13345fed583为四面体内切球的半径)
C.同一平面内,直线eqId0ce93bfa1f6a4a23b3258410dd19847a,若eqId6c187a5b4087410da224aaecbc184ad8,则eqId1e5c1dc58760434b80a688a93ddde74e.类比推出:空间中,直线eqId0ce93bfa1f6a4a23b3258410dd19847a,若eqId6c187a5b4087410da224aaecbc184ad8,则eqId1e5c1dc58760434b80a688a93ddde74e.
D.实数eqId4959a8a13c0b40f3a3b076626a4b616c,若方程eqIdeae7a1da0bf84e3b84ee95b69c3c7870有实数根,则eqId8935c67761374112a697d14db4933b8f.类比推出:复数eqId4959a8a13c0b40f3a3b076626a4b616c,若方程eqIdeae7a1da0bf84e3b84ee95b69c3c7870有实数根,则eqId8935c67761374112a697d14db4933b8f.
难度:0.65组卷:171题型:单选题更新:2019/7/11
11 . 已知直线eqIdce21ff0705454a76aa230b3a4ae53907eqId32454977564e4ee18da36bd51156c509为参数),抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的方程eqId663e23fd316f497daf55d864b036a2a4eqId19a4eb16029e4550a14f2afe4741a3c3交于eqId2b27904b13a940ffbad5678a0a3ce704,则点eqId9b7cc828c076427aadd9e0a0f5690879eqId2b27904b13a940ffbad5678a0a3ce704两点距离之和是(  )
A.eqId029c6a0f6875443fb66d28cd5f950000B.eqId7d3e399f647741c898b53817c773bebcC.eqId306db387463341809a5bd53ce9df38ecD.eqIda1d5ff00fa794935aae33af239e81b33
难度:0.65组卷:360题型:单选题更新:2018/6/27
12 . 已知函数eqId6f13759e937144069819aed2ae5a1057的定义域为eqId7dcd2312d0bf4bb1befdfcc170e45791.当eqId4db620a5946b4ee0a9f530f35a6d505a时,eqIdce26ab97fc0f47ce9dff59d603ea061a;当eqIdca869983f96b42be8c7fad70e6202a38时,eqIdf0e59f1a7a194c7289f7a81031e3e69b;当eqId426eab0f5ba34ed59c70d39f93fbe3d2时,eqId279cd7525ef84c1299489eaae9af11bb.则eqId10656f62a9b641e6ad1583a72197f3c2( )
A.eqId30c998d35a344d80a18e14a8c8f2d14fB.eqIdfca343da1efc413487359c1551da9dbeC.eqIda86879ae304449a4a6e6461c485a1f13D.eqIdc052ddfbd4524f67a79e0e77c2e5656a
难度:0.65组卷:908题型:单选题更新:2020/2/23
13 . 点eqId5675989e12e2426db6140e258ba34b55为此曲线eqId63195c54475544a7b56eff2e8616af02上任意一点,则eqIdd2cd98e0fc10431cb71ed1d3b1944ef1的最大值是______
难度:0.65组卷:370题型:填空题更新:2018/5/15
14 . 在以为极点的极坐标系中,圆和直线相交于两点.若是等边三角形,则的值为___________.
难度:0.4组卷:1652题型:填空题更新:2014/6/20
15 . 观察下列各式:eqIdd7867134615f496f8411782d89d26064,则eqIddf113c95dd0e45cabaf2ecc04178889e______
难度:0.85组卷:720题型:填空题更新:2020/3/26
16 . 已知不等式eqIdf137303ee7e24b709cc46ea24698c09d,对满足eqIdcf9b853c134f405a9ac857e347cbc227的一切实数eqId8514f3b444e6435a965b806265046660都成立,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围为______
难度:0.64组卷:370题型:填空题更新:2014/1/8
难度:0.65组卷:1094题型:填空题更新:2019/7/11
18 . 直角坐标系eqId94e28bb883384a7580bda6b481c94427中,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqId62e6a7cce2454cbea06abde9cbbc468a;以eqId4ceda0898c714128b74c1f44fb46ffbe为极点,以eqIdc12aac8c2448479687a40735b3572a23轴的非负半轴为极轴建立极坐标系,直线eqId417e80f1349244878d01fe90e0891f5f的极坐标方程为eqIdf9e85f431fa348528bb185b9a5f25d7b,曲线eqIdee16290449b943b0adba44924b6265ff
(1)求曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的普通方程和极坐标方程;
(2)已知直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqIdcfc8599bedfb4ab4944abf141f348a9a和曲线eqId517f95b8545a4c059d10ebd5d949b793分别交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点(均异于点eqId4ceda0898c714128b74c1f44fb46ffbe),求线段eqId996e2048847f41d5a5fe0e2282909254的长.
难度:0.65组卷:998题型:解答题更新:2019/3/27
19 . 为迎接2022年北京冬季奥运会,普及冬奥知识,某校开展了“冰雪答题王”冬奥知识竞赛活动.现从参加冬奥知识竞赛活动的学生中随机抽取了100名学生,将他们的比赛成绩(满分为100分)分为6组:eqId9dc2e0509ddb4621bb7e80012eac144aeqId061395f226084a7585739754f6d21be1eqId323fb9e12f6d453b810f963450076c3feqId226269f1e7394016bd500ffc149a4af9eqId63b746af5b9949caad5c19358317ad38eqId239b9ba0da8941d88f879f4f6de11a8a,得到如图所示的频率分布直方图.
figure
(1)求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(2)估计这100名学生的平均成绩(同一组中的数据用该组区间的中点值为代表);
(3)在抽取的100名学生中,规定:比赛成绩不低于80分为“优秀”,比赛成绩低于80分为“非优秀”.请将下面的2×2列联表补充完整,并判断是否有99.9%的把握认为“比赛成绩是否优秀与性别有关”?
 
优秀
非优秀
合计
男生
 
40
 
女生
 
 
50
合计
 
 
100
 
参考公式及数据:eqId92395d757bd9444d934556ae7d026e77  
eqId325ee6ead747449486f3c81e5494e198
0.10
0.05
0.025
0.010
0.005
0.001
eqId8dfd018330ef4b33a6adcd2e22631b93
2.706
3.841
5.024
6.635
7.879
10.828
 
难度:0.85组卷:342题型:解答题更新:2020/3/1
20 . 已知函数eqId6f254f0eb64644afbc5ab0a9613ee5dd.
(1)解不等式eqId7a787a4f283b40c2b6e4da6214bb7fda
(2)设eqId656828c8cde74fec8012cead558eaf26,若对任意eqIdce3175c2cdf64557b8637cfe1addd496,都有eqId4624d8bde77647d1aac17914800c7d20,使得eqIdd1d344d054be49479996ec4f728f9f0b成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
难度:0.65组卷:364题型:解答题更新:2019/5/6
21 . 已知eqId6f13759e937144069819aed2ae5a1057为定义在eqIdd4875002eab644559d85b2e36e903b70上的奇函数,当eqId2edfef78e0424dcaae778d0f7afd528e时,函数解析式为eqIdc54873d10e8d4bf7ac70cfa6148f6e66.
(1)求eqIdaea992e70d4943e49e893817eb885ed7的值,并求出eqId6f13759e937144069819aed2ae5a1057eqId77d946a105a24f62b120895d662a668a上的解析式;
(2)若对任意的eqId3ca5586f1a314a9da0b5a3ab179cad19,总有eqId56c0762a09ff42bbb867f1c1df593ac4,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
难度:0.65组卷:490题型:解答题更新:2018/8/3
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