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浙江省杭州市周边重点中学2019-2020学年高一下学期期中数学试题
适用年级:高一 试卷类型:期中 试题总数:21 浏览次数:95 上传日期:2020-05-23
1 . 已知集合eqId5b5cfc28c5e14d72b163b243ce5573a0,集合eqId9769af548ffc41c6a350e368556c3245,则eqIde0bb386baff14a7cabdea6c543ebe2de(   )
A.eqId9f709cdc29384938b095f88a442129c2B.eqIdd3554667d85845cb9563f0f5e017bdf8C.eqIdbe16126fee6b4d8cb302dc4ba52b66b4D.eqId242de2231f7c409484840b5226bdee3f
更新:2020/05/23难度:0.85题型:单选题组卷:35
2 . 已知向量eqIdfb8e612ba91e423395eb920d5fa9ff87,且eqId2d2d21a906df44a8996a3c57bd7fdcd5,则eqIdd33c7c1015944e2b81de4ff8695de842(   )
A.5B.eqId489bd971e3c5412aaf1e66be009ced9cC.6D.eqId1d18010fc29e4f45abaaece953793246
更新:2020/05/23难度:0.85题型:单选题组卷:59
3 . 已知角eqIdc13953f2514e4c8f9c8aaaf5241c33ac的终边上一点P的坐标为eqIdef08ba1a169049aeb65c10932858f5c2,则eqIdb8dffd3595704fd791dd6b613ceaea07的值为(   )
A.eqId49b7b111d23b44a9990c2312dc3b7ed9B.eqIdfcc58431683b452ca65d1d9977a280bdC.eqIdcf32b3b919f04cc18988c622e750e9f1D.eqId232536b8bbed4f619f81f098fe3ebb9c
更新:2020/05/23难度:0.85题型:单选题组卷:70
4 . 等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的首项为1,公差不为0.若eqId0509add794484602a2c710f41d9ddddceqId5cae532f2168495188622189ec8df62ceqIdca19c700219248bdb9970e80e029af74成等比数列,则eqId93e38ecd74a24cb59da79181b95bfd3a前10项的和为(   )
A.eqId67d60cbc27644063a7133ef868924741B.eqId7e937d8f15f44b2f91eb7f7b36ffd54bC.eqId12cdee9269084cdd9a6db21bdd50a61cD.eqIda80effaca10d48019e482c6443782838
更新:2020/05/23难度:0.85题型:单选题组卷:0
5 . 函数eqIde011c80eff564689b436584cc5219e3d的最大值为(   )
A.4B.5C.6D.eqIdcfc0e432d40c48a4baab54d44124935e
更新:2020/05/23难度:0.85题型:单选题组卷:0
6 . 已知函数eqId18c6556bac4842b4aeda5a5ab6a19b27的图象过点eqIde365a36715da4ff9a3d9729d9a721870,令eqId911397007b684f2ebce3d7637879bc59eqId532dc4d959024b79b546428f5856e5aa.记数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,则eqId29282767a7474a16b809adcea2a8af7b(   )
A.eqIdd2401871fc4040c4a4fcad0ad35251d0B.eqIdad7396d52c104b36b0cebc685a21022eC.eqId52745ad1652f4dfa9b80f0b8f3522198D.eqId6483be5304a04ce4804bf4e749e69e42
更新:2020/05/23难度:0.85题型:单选题组卷:33
7 . 函数eqId9f7548411eac4bc7bfbf7d3f26f95699的图象可能是(   )
A.figureB.figure
C.figureD.figure
更新:2020/05/23难度:0.85题型:单选题组卷:79
8 . 等差数列eqId5e5086929bc04a68a227cd2743e40c58的前n项和为eqIddb5481de79c946c0a760143297d5eade,且满足eqId6a3b24e9d0ad4c65a94286f29ac9713c,则下列数中恒为常数的是( )
A.eqIdd8783e1a9c1d473b93bd2e76ebe2442cB.eqId3ef2bfbb3f084a2382617254cdc86569C.eqId53250fc951684c6fa5a7ace161f650a1D.eqId899215e1a20f4e08a00e7bd34e1f3cdd
更新:2020/05/23难度:0.85题型:单选题组卷:549
9 . 设eqIdcf15844b1ef2425b81201332d57bacfd,关于eqId8e15963708e9415da25069fea5906e24的方程eqId10390ab83322461f9700c79113a287f2,给出下列四个命题,其中假命题的个数是(   )
①存在实数eqId4d2187284c5d4de29906363f7d21f60f,使得方程恰有eqId8898c1dc81824f3098bbeae74e8f11fd个不同的实根;
②存在实数eqId4d2187284c5d4de29906363f7d21f60f,使得方程恰有eqIdddd35c5d043e4ebeac32a99367053c68个不同的实根;
③存在实数eqId4d2187284c5d4de29906363f7d21f60f,使得方程恰有eqId8f65c930571d4ff6aa6a50029d46826e个不同的实根;
④存在实数eqId4d2187284c5d4de29906363f7d21f60f,使得方程恰有eqIddd4bf187d3fd47f6bcc24e568e09643e个不同的实根.
A.eqIda86879ae304449a4a6e6461c485a1f13B.eqId37705e1ef6a84bbdbe88433e75932cdfC.eqIdc052ddfbd4524f67a79e0e77c2e5656aD.eqId8898c1dc81824f3098bbeae74e8f11fd
更新:2020/05/23难度:0.4题型:单选题组卷:136
10 . 已知O为锐角eqId64b9b599fdb6481e9f8d9a94c102300b的外心,eqId88f689a21a5b4d03baafaf51b5b764eaeqId675fcaa32a5f47f2864173e0f237c00a,若eqIdaa6c4d3792114ae590f881ecd32c12fc,且eqId8c08c8457e864ddf9ad20ffb9fd9ff7f,给出下列三个结论:(1)eqId92a8e05dd111426095bbf3838f04ee0f;(2)eqId34432e19e65840b6b625efd8a3952204;(3)eqId4472967905394132aec3a9a924ea040d,其中正确的个数为(   )
A.0B.1C.2D.3
更新:2020/05/23难度:0.4题型:单选题组卷:44
11 . 计算:
(1)eqId676e6e6590954f4cb0553a94da12ef5c__________;
(2)eqIdf519927c98dd40c49e106ef9b6314ef1___________.
更新:2020/05/23难度:0.85题型:双空题组卷:0
12 . 函数eqId62af8b1b98094cccb2abd0b8fdb63447的单调递减区间是_________,值域是___________.
更新:2020/05/23难度:0.65题型:双空题组卷:37
13 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,已知三个内角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3满足的eqId8b194308a97d40c583a1b95f1f4f8a7a,则eqIddd3a988f11ae40f394d584251df28e03_________,eqIddaa30df34f3343e9b90f0303e0d2a55a___________.
更新:2020/05/23难度:0.85题型:双空题组卷:0
14 . 已知函数eqIdfb0e0e21133f4f3497def8b36c4d3b30eqIdc967adec972842f894e64122eb1fcf6b
(1)eqId8ea029f73672446f9f230a689995ff09eqId2ae988b00be3499786a3510849d92ff2上的解是__________;
(2)eqId4837c94ef0ff4dcf9b1dda4df363275a的图象可由eqId28c4c21271884dfeac29ce0222782376的图象向右平移eqId3a4208e0040c42ed8b09de2cae9d562eeqId7111fd12b58849d6bf8ea15bf87cc719个单位得到,则eqId3a4208e0040c42ed8b09de2cae9d562e的最小值为___________.
更新:2020/05/23难度:0.65题型:双空题组卷:23
15 . 中国古代数学名著《算法统宗》中,有一道“八子分绵”的数学名题:“九百九十六斤绵,赠分八子做盘缠,次第每人多十七,要将第八数来言”.题意是:把996斤绵分给8个儿子作盘缠,依次每人分到的比前一人多17斤,那么第八个儿子分到的绵是________斤.
更新:2020/05/23难度:0.85题型:填空题组卷:0
16 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a的最小正周期为2,当eqId895568b9072440b98cda9d431a866a31时,eqId8f053ba28e894c1fae8c796096b77661.若eqIdd9ede9e190734a8e91f1e68eabbf4d7e,则满足eqId7a58a0d0ab774f29a469f0156d7c7eb3的所有x取值的和为_____________.
更新:2020/05/23难度:0.4题型:填空题组卷:100
17 . 已知向量eqIdaac98ca918d24f4197da135c629b7787满足eqId7489f04b4b7b4778b0278cc9ef12336feqId6ffa97d38a9248dbb19e00bd0a2a3928,若关于eqId0049fc19eba84da7b19470dcb07a2a6d的方程eqId5a7eaca56dbe40bea3718bc2c9ab5dd8有解,记向量eqId94de554c449b44159a13df896e2c121e的夹角为eqIdf9db0aee08264a238b9741675591065e,则eqIdc908840afe7c4817bd8219c0986fb82a的取值范围是___________.
更新:2020/05/23难度:0.4题型:填空题组卷:43
18 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3的对边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1eqId038da879b6a5465aa89243dfb334bcf9eqIdb3bfb71d448549d48fda52e68114e916eqId64b9b599fdb6481e9f8d9a94c102300b的面积为eqId6cd972e243e54a85b083a2e95b353bc9.
(1)求eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1的值;
(2)求eqId39739733efdd4403b9869357dcedb71f的值.
更新:2020/05/23难度:0.85题型:解答题组卷:0
19 . 已知eqId00ec0403b01344c499bd07d497b64cb7是两个单位向量.
(1)若eqId18cd869566c441f88534a5703d2de1d6,试求eqId11c92a30fb7d452ba5f3eb72a8b38020的值;
(2)若eqId00ec0403b01344c499bd07d497b64cb7的夹角为eqIdf1c3337151994ec4b99354c9d54f311c,求向量eqId088805df292244f39a658f1e81cae7a5eqId0b6ae8378e6942c788410ccf1fbe1010上的投影.
更新:2020/05/23难度:0.85题型:解答题组卷:97
20 . 已知函数eqIda428f940d50f4d56b0f945e37383d176.
(1)若eqId41f04097a07d4d03941921a18fc42004eqId8164502d09d44990ac4f2f73ea67e37aeqId83852d75044b4ef6a65c857a110b59bbeqId4837c94ef0ff4dcf9b1dda4df363275aeqId7866cdd713694d23943f903588364452上的最大值为eqIdcf0e8924f6544d789d37564d497215a5,最小值为eqId30c998d35a344d80a18e14a8c8f2d14f,试求eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7的值;
(2)若eqIdda43591caa9542f780355a1d58dae3c1eqIdd877435f23ff4e7284d6e67e4d3a1912,且eqId05b5eb2ff0164627a73087a3d2994eb4对任意eqId27b1abecc2474a8f94b2a3b83e27e283恒成立,求eqIdaea992e70d4943e49e893817eb885ed7的取值范围.(用eqId70a27b6ddf6b478285353abb3b1f3741来表示)
更新:2020/05/23难度:0.65题型:解答题组卷:30
21 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,已知eqId38f6446bada943daa68e480a7c45d549eqId7d4dc82fbd1248198e6e0990ef0d6e7a.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)记eqIde29654c186fd49e5b3e3775fd4a1fb63eqId7d4dc82fbd1248198e6e0990ef0d6e7a,证明:eqIdb13c30c2bb2f4c17a4db8725ee093e48eqId7d4dc82fbd1248198e6e0990ef0d6e7a.
更新:2020/05/23难度:0.65题型:解答题组卷:33