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湖南省娄底市娄星区2019-2020学年高二上学期期中数学试题
适用年级:高二 试卷类型:期中 试题总数:22 浏览次数:125 上传日期:2019-12-03
1 . 不等式x2+2x-3≥0的解集是(  )
A.eqId0e7825f8b9484b2ead1a13de05e75700B.eqId618581a257964c7e92d5c87830249f00
C.eqId673cf4296920434eb96c92d705ae6b9eD.eqId8a0ac7c96a73410c9864b5c538fe0d18eqId2f845f79021d44d7984cd03450a91d54
更新:2019/12/25难度:0.94题型:单选题组卷:218
2 . 设M=3x2-x+1,N=2x2+x,则(  )
A.eqId36ed51ba7872435d917ec75f7fd930deB.eqIdf92a9a0c54994a2ba70b28b48b21e24bC.eqId7707e3a7a5d245098798904b050a278bD.eqId9db41170726c4abaadb5bd4a8847ae4e
更新:2020/05/20难度:0.94题型:单选题组卷:145
3 . 已知等差数列{an}中,a2+a4=6,则前5项和S5为(  )
A.5B.6C.15D.30
更新:2019/12/03难度:0.65题型:单选题组卷:378
4 . 若eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1为实数,则下列命题正确的是(   )
A.若eqId142fb6f8712a4e04a73b56741b7207aa,则eqId3d835b170e3445c99c7fee987a3502b2B.若eqIdc1019b1debc848ed94ad007f4a9d3633,则eqId02c00a8d0c8a40a9bed5034947b65a66
C.若eqIdc1019b1debc848ed94ad007f4a9d3633,则eqIdba2e5ba6cb1249f2ad42ba5d138805e5D.若eqIdc1019b1debc848ed94ad007f4a9d3633,则eqId71e570080d944aa99fe89e4b890956ca
更新:2020/05/13难度:0.85题型:单选题组卷:844
5 . 已知等比数列{an}中,a1+a2=3,a3+a4=12,则a5+a6=()
A.3B.15C.48D.63
更新:2020/03/14难度:0.85题型:单选题组卷:310
6 . 已知方程eqId17e5d724c6c64c0786b90f48c59eaeae表示椭圆,则eqId4d2187284c5d4de29906363f7d21f60f的取值范围为(    )
A.eqId8eb256a976594a819ac0b0e22ad705c2eqId86f8eb4047bf4c5790fbfd482b8c324fB.eqId23ba64ba2e9d453ea338bd85f7466605eqId86f8eb4047bf4c5790fbfd482b8c324f
C.eqId092ecfe5ec5843819eb060344eb85d02D.eqId471df93c6d2a44118236a88b7925818b
更新:2019/12/03难度:0.65题型:单选题组卷:467
7 . 在△ABC中,a=5,b=7,c=6,则△ABC的形状是(  )
A.锐角三角形
B.直角三角形
C.钝角三角形
D.可能是锐角三角形,也可能是钝角三角形
更新:2019/12/03难度:0.85题型:单选题组卷:81
8 . ​已知eqIdfc8f97c338064f19b3742698d0ed2dc5中,eqIdb02f2a3432ed438e9e7d60af2f9c774deqId0acff9f084eb41e0b50f213cb4d47e4d,则数列eqIdfc8f97c338064f19b3742698d0ed2dc5的通项公式是(    )
A.eqId6f3fa5d4b59c433cbb89f0fe46e83e3cB.eqId2896b54e48dd489a99ba0dee424c97e3C.eqIdd8e8a8af87b646cb98915ab189938bf3D.eqId4f475582cb8647f4af48505bfb09ba0d
更新:2020/03/06难度:0.85题型:单选题组卷:858
9 . 当x>3时,不等式eqIdc14c5d15157f442caa8522a2155478e4恒成立,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(     )
A.eqId014f6a37da7746798192c8e736aaaf54B.eqId58c743d181314582b5a2de23755a7e8fC.eqId9a1c2fb9db57408a94b93b8b1456ea59D.eqId8c890bd5dcba4d5c8110b4c3c7fbb88d
更新:2019/12/03难度:0.85题型:单选题组卷:654
10 . 已知等差数列{an}的前n项和为,满足S5=S9,且a1>0,则Sn中最大的是(  )
A.eqId4e6988821e434e058c4c7a16d5d85587B.eqId66323e1f327444beacb68797109eb651C.eqIdb4de3265b5d64840ad8080068acf2dadD.eqId3ef2bfbb3f084a2382617254cdc86569
更新:2020/03/06难度:0.85题型:单选题组卷:248
11 . 设eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e是椭圆eqId93cbffaa5ae045d6ac45d1e979991c3aeqId15bfbddeee0143e08c809ecf76ffb129的左、右焦点,eqIdd7be5abad1e34f6db17a56660de8d54f为直线eqId6983ca25848e4fc9a66b982bb6c6e137上一点,eqIdf1e4b32da01d4fecb9d0b80c8176911f是底角为eqId5ad58f952a4542f689f5ee8aa9946f25的等腰三角形,则eqId93cbffaa5ae045d6ac45d1e979991c3a的离心率为(  )
A.eqIddb6b28cbd8a14caa9cf1146f6f7916c0B.eqId5f51ce9cc7fe4412baeb871cceb26665C.eqIddda48cced83d424b89b7d8f8c62b1056D.eqIdfa095068b26244c7912a4ce1e7ad060c
更新:2020/04/06难度:0.65题型:单选题组卷:6343
12 . 不等式x2<|x-1|+a的解集是区间(-3,3)的子集,则实数a的取值范围是(  )
A.eqId0e1d8fde3d9245339f3235e4ea82bf79B.eqIda5740d31363f4107911e39c8bd517724C.eqIdfe4f3ced9f15436e9502858c2762f066D.eqId42d24bda71fa46e9843a62e6fe534525
更新:2019/12/03难度:0.85题型:单选题组卷:49
13 . 在等比数列{an}中,已知a2a4a6=8,则a3a5=______
更新:2020/06/23难度:0.85题型:填空题组卷:220
14 . 已知eqId992fe44057cf4492895193f3f5398449的内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4所对的边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,若eqId9d0dfa49043a49a8b5a32a2ef90f284feqIda0852ccb8f124ec59c556fdb0b9be5eb,则eqId783c5f01aa1e49b29f88c27d2eca4354__________.
更新:2019/12/03难度:0.94题型:填空题组卷:1010
15 . 若关于x的不等式eqIdf456a81b94504ab697c74f9249aaa3e9的解集是(1,m),则m=                   
更新:2020/03/01难度:0.85题型:填空题组卷:513
16 . 已知数列{an}满足an=logn+1n+2)(nN*)定义使a1a2•…•ak为整数的数k叫做企盼数,则区间[1,2019]内所有的企盼数的和是______.
更新:2019/12/03难度:0.65题型:填空题组卷:62
17 . 已知椭圆eqId19a4eb16029e4550a14f2afe4741a3c3中心在原点,焦点为eqId79fb4d37330145398fe1da515029a023eqId4c5ca19d06484d1c9a9e6fa1798617cb,且离心率eqIdf2b696595a8649c0a39cfeaa8cb81090
(1)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
(2)过eqId39022729a38941938863b360541b1d7e的直线eqId417e80f1349244878d01fe90e0891f5f交椭圆eqId19a4eb16029e4550a14f2afe4741a3c3AB两点,求eqId8adc55df16d64ec4b83e30a690a8b1b8的周长.
更新:2019/12/03难度:0.85题型:解答题组卷:826
18 . 已知等差数列{an}的公差不为零,a1=25,且eqId75691f28a5bb4c8287401017aa3a2d29eqIdd57ddec17fb84ffaa44a3bdff63fbf4beqId5e6aed425a3243caa7ebbefd9e13bdff成等比数列.
(Ⅰ)求eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(Ⅱ)求eqId75691f28a5bb4c8287401017aa3a2d29+a4+a7+…+a3n-2.
更新:2019/12/31难度:0.65题型:解答题组卷:4458
19 . eqId64b9b599fdb6481e9f8d9a94c102300b的内角ABC的对边分别为abc.已知eqIdf5fbaafbbf30453dab8c078d7cd3f0b7.
(1)求角C;(2)若eqId3ed39cfd16ed4b8d91cfdf420fe3f19beqId91a4c6228dcc4b3baeb290e5b4af0701,求eqId992fe44057cf4492895193f3f5398449的周长.
更新:2020/06/22难度:0.65题型:解答题组卷:6191
20 . 某工厂要建造一个长方体无盖蓄水池,其容积为4800eqId11ffb94467a246dc8bd39dec5f7f0ee8,深为3eqId3a4208e0040c42ed8b09de2cae9d562e,如果池底每eqId454bca9d64f14b18a7c2931120065c46的造价为150元,池壁每eqId454bca9d64f14b18a7c2931120065c46的造价为120元,问怎样设计水池才能使总造价最低?最低总造价是多少元?
更新:2019/12/03难度:0.65题型:解答题组卷:217
21 . 在数列{an}中,a1=2,a2=4,且当n≥2时,an2=an-1an+1eqId6c2146ec6df54fc9af9b2aef04489c8b
(1)求数列{an}的通项公式an
(2)若bn=(2n-1)an,求数列{bn}的前n项和Sn
更新:2019/12/03难度:0.65题型:解答题组卷:175
22 . 已知函数eqId6f13759e937144069819aed2ae5a1057=│x+1│–│x–2│.
(1)求不等式eqId6f13759e937144069819aed2ae5a1057≥1的解集;
(2)若不等式eqId6f13759e937144069819aed2ae5a1057x2x +m的解集非空,求实数m的取值范围.
更新:2020/06/03难度:0.65题型:解答题组卷:7740