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江苏省苏州市外国语学校2019-2020学年上学期自主学习检查(一)高二数学
适用年级:高二 试卷类型:周测 试题总数:22 浏览次数:109 上传日期:2019-10-09
1 . 已知abcdR,则下列不等式中恒成立的是(  )
A.若abcd,则acbdB.若ab,则eqId3d835b170e3445c99c7fee987a3502b2
C.若ab>0,则(abc>0D.若ab,则acbc
更新:2020/02/26难度:0.85题型:单选题组卷:322
2 . 不等式x2+ax+4>0对任意实数x恒成立,则实数a的取值范围为(  )
A.(﹣4,4)B.(﹣∞,﹣4)∪(4,+∞)
C.(﹣∞,+∞)D.eqId55d55b6bb174468fa5079f56459267a6
更新:2019/09/25难度:0.85题型:单选题组卷:307
3 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式为eqIdd0c0b9ccc502458190aaae5e21c5bd8d,则eqId88d0bcd60a934639839bb2f60b67e97f(  )
A.153B.210C.135D.120
更新:2019/09/20难度:0.65题型:单选题组卷:953
4 . 若实数eqId7325f59d822c4c318b79153587a4f903满足eqId53d6eb8331b94825bc7381f19eac11bb,则eqIdd2cd98e0fc10431cb71ed1d3b1944ef1的最大值是()
A.eqIddd4bf187d3fd47f6bcc24e568e09643eB.eqId9a19f81624ec431494b1feeb88f12bdfC.eqIdddd35c5d043e4ebeac32a99367053c68D.eqId5f51ce9cc7fe4412baeb871cceb26665
更新:2020/02/12难度:0.85题型:单选题组卷:671
5 . 已知数列eqId0f9775f74d72479cb407f58bb6a40c7d成等差数列,eqId6dffcb37417c47e18b1cc32f9977d4b1成等比数列,则eqId3cf0bc04070c4e30817712b90e1e1c7c
A.1B.eqId7f4cbc932b504200bd85e1dbb4d96181C.-eqId5f51ce9cc7fe4412baeb871cceb26665D.±eqId7f4cbc932b504200bd85e1dbb4d96181
更新:2019/10/09难度:0.85题型:单选题组卷:311
6 . 已知两个等差数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的前n项和分别为eqId174d58136ce34b5089892e7bb0dd4004eqIda6e202873b10451d97ccb33f6744588c,且eqId84a73c9fb3264df1abcf9da6186504d9,则eqIdceb81d45daed45b89a0a5d036d81f278( )
A.eqIdacdff9346aa742799bf3800a39615162B.eqId916955ba94294609a756a1980707d880C.eqId45b0723df0f148caa05b41c22cb92583D.15
更新:2019/06/06难度:0.4题型:单选题组卷:1899
7 . 关于eqId8e15963708e9415da25069fea5906e24的不等式eqId3cdfe1cb10f741eeb7b4693d152aaec6的解集中恰有两个整数,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(  )
A.eqId6f060bfdcd084f8d9c6a21235fac27d9B.eqIdaa791b843d804b9aa81d5825b8e60921
C.eqIdb73a2ef0937c475c9fdde0ac707fe9cbD.eqId4d41b3456bfa4bc8b2a19ce60a1b1d3d
更新:2019/11/04难度:0.4题型:单选题组卷:891
8 . 已知等差数列{an}的前n项和为Sn,若eqIdbc5fe9ea23fc4a0484298f7481c17b48,则eqIda6791de7fe7e4541bd1fc3e741e8b7cf=(  )
A.eqIde7a66f3b90f24a5c939e18cdf6cc9733B.1C.eqId5bdf412098cc4156b5e8fd514ebc7818D.eqId5b7fb20e420642068fbd5be267156d14
更新:2017/12/07难度:0.85题型:单选题组卷:820
9 . 《九章算术》中有如下问题:今有蒲生一日,长三尺,莞生一日,长1尺.蒲生日自半,莞生日自倍.问几何日而长等?意思是:今有蒲第一天长高3尺,莞第一天长高1尺,以后蒲每天长高前一天的一半,莞每天长高前一天的2倍.若蒲、莞长度相等,则所需时间为()
(结果精确到0.1.参考数据:lg2=0.3010,lg3=0.4771.)
A.2.6天B.2.2天C.2.4天D.2.8天
更新:2020/04/18难度:0.65题型:单选题组卷:532
10 . 设等差数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,公差为eqId096e32e1d18145d199ccbacb5a9a85fe,已知eqId31c7f0521431419b947afa8bdf733bf6eqIdf16684b8419c4093b4dd7d99f38f0344,则( )
A.eqIdb6d53d4f69934549842a0013c6df524cB.eqIde45f13ef898e40a5a23256c31fa84af1C.eqIda868cb425e2848c69d8c63f8b5aa1a6cD.eqId0a83e38b3184440d80892e53141c4e64
更新:2019/07/17难度:0.4题型:单选题组卷:1244
11 . 设正实数eqId686bde459b1b491fb5744cb784473308满足eqIdd53cde70394541b8af04965fab767725,则eqId85a6e3d8ddc14ca494cd62e5ea159026当取得最大值时, eqId866e7ae33dd74b8ebb98caf53e7f30e6的最大值为(   )
A.eqId37705e1ef6a84bbdbe88433e75932cdfB.eqIdddd35c5d043e4ebeac32a99367053c68C.eqId9f05134d6efa4c6d9ca46aaa06d577f3D.eqId0c34b200ff98472c81a84cd8f0116762
更新:2020/02/27难度:0.65题型:单选题组卷:405
12 . 数列eqId315af7e63b0e4f1d93184bcb531e1e5a中,eqId85e5f99606f84476825f94da71e13a15,且eqIda9c3c587d5d2449c91888cfd831a4fcb,则数列eqId54aff0a43d694b3784116e71fe14e388前2019项和为( )
A.eqId0075528ec4d040e6aa3b3ad530830807B.eqId797c894e1b274689a62d6aa19ff17b05C.eqId62cb81c1443e4240a5cf5643a5b14df5D.eqId995072570d43440699c48893e0aa3e9c
更新:2020/04/10难度:0.4题型:单选题组卷:1744
13 . 若不等式kx2-2x+1-k<0对满足eqIdbe477d8eb9ac4010801929d037c45796的所有k都成立,则x的取值范围为________________.
更新:2018/10/14难度:0.65题型:填空题组卷:386
14 . 设等比数列eqId054d5a7de5684002909fe944c86227c2满足a1+a3=10,a2+a4=5,则a1a2…an的最大值为          
更新:2020/05/20难度:0.65题型:填空题组卷:1098
15 . 已知函数eqId3409379d89ba42fab0d6a4d7feee4ff8,项数为eqId20154d310bc84bdebceed142dcafe32f的等差数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId170732b9e5be4d249c10bcbe039e6f01,且公差eqIda4e0e0457a474389a594bb7252ae40a8,若eqId87a0591762404864853d875bfcf9137a,则当eqIdf3ccc5889ff44339b4e5a8c578f48e0e(      )时,eqIdb186d6997eb8423f9dabb6d1ebf31458
更新:2019/10/09难度:0.65题型:填空题组卷:169
16 . 已知eqIde8f4e39740fa429eac2ad0a8725199cceqId7431d070400e4b3c9f15d6551249c176,则eqId9c92075169a24146b27ad6f4ff2706f9的最小值为____.
更新:2019/06/29难度:0.4题型:填空题组卷:661
17 . 解关于eqId8e15963708e9415da25069fea5906e24的不等式eqIdbed03fa065ed4ad899a3ddf01240dee5
更新:2019/10/09难度:0.65题型:解答题组卷:472
更新:2020/03/13难度:0.4题型:解答题组卷:998
19 . 某高科技公司研究开发了一种新产品,生产这种新产品的每天固定成本为eqId4911f3ee2aeb469bbd6f7c84021e6041元,每生产eqId8e15963708e9415da25069fea5906e24件,需另投入成本为eqId32454977564e4ee18da36bd51156c509元,eqIdc83ff2f3f4344139aa380621435438c9每件产品售价为eqId9c09632607ad40c88122a44b25d9d9e7元(该新产品在市场上供不应求可全部卖完).
(1)写出每天利润eqId072d7d6b911b42bc89207e72515ebf5f关于每天产量eqId8e15963708e9415da25069fea5906e24的函数解析式;
(2)当每天产量为多少件时,该公司在这一新产品的生产中每天所获利润最大.
更新:2020/03/26难度:0.65题型:解答题组卷:504
20 . 已知函数eqId92eb719be6a14d84a8da7b28ff153538,且eqId8fc29f78d9744140b2db99d941134919的解集为eqId7080e98f665346d1899fef3a00732af8.
(1)求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的解析式;
(2)解关于eqIdc12aac8c2448479687a40735b3572a23的不等式eqIdc6667e9ea549418384c985c7d05563d1eqId887708b00a27443d902fb9442c66b60f
(3)设eqIde8b3b69f9fd24537bc246e3ba89d4ae0,若对于任意的eqId1e9593efdd7140c3bef08ce3b3abf795都有eqIdf215bfeb60a343f9998c0f5620154125,求eqId2381423d4cd146cab95f55527681a766的最小值.
更新:2020/03/03难度:0.4题型:解答题组卷:1706
21 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade, 满足eqIda8c27c992de84a88b6a5a61d6e3f7695  .
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)令eqId9879f03c0a3c475c82d90d05cf029b94 求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5
(3)若不等式eqIdab7e4b97e42b45bd95251d8573c44228对任意的eqId494aaa42c6954e0d8dd1c58780cefa84 恒成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741 的取值范围.
更新:2020/05/08难度:0.4题型:解答题组卷:1218
22 . 已知常数eqId0a6dff3cc3ca44568621204bab332b32eqId40e70aa305cd42eabb4b2bf63f967b92,在数列eqId14872f9ee7c14267afb3dd93f72fefff中,首项eqIdb85ca5c3f6fd494db9214a3d229dd4f3eqIddb5481de79c946c0a760143297d5eade是其前eqIdf458db68122849abb588feb2e682d9ac项和,且eqId142c9f670b474a3ea008763de6cbb0d0eqId532dc4d959024b79b546428f5856e5aa.
(1)设eqId5dab07a94baf45bfb20b6e507a54be62eqId532dc4d959024b79b546428f5856e5aa,证明数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63是等比数列,并求出eqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)设eqId0b3534a3bd2640b7b6e77764c559e867eqId532dc4d959024b79b546428f5856e5aa,证明数列eqId74ef5fe5183946caaee41d8974816a20是等差数列,并求出eqId74ef5fe5183946caaee41d8974816a20的通项公式;
(3)若当且仅当eqIda4491350931c43e5afd1a6dbe4674433时,数列eqId92e48c32f97b440ca0cff79e8a1436ef取到最小值,求eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围.
更新:2019/09/20难度:0.4题型:解答题组卷:672