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【校级联考】安徽省示范高中培优联盟2018-2019学年高一下学期春季联赛数学(文)试题
适用年级:高一 试卷类型:竞赛 试题总数:21 浏览次数:480 上传日期:2019-06-20
1 . 设集合eqId4e947a2bcb244286825eb3fae49c5b5e,集合eqIda2b1442478aa42358a9d4dc037ec9c9f,则eqId170a03e31a0e4656b66452088e998e61(  )
A.eqId30171af4fd62440a844e1164f0576d51B.eqIdbcf67b01c3cd4b2d83e17d1331e29abd
C.eqId43c65b8859394cdbb15d248e2d250f92D.eqId256b8df52f1f47159873ac85aa6c0312
更新:2019/06/20难度:0.94题型:单选题组卷:543
2 . 实数eqId7325f59d822c4c318b79153587a4f903满足eqIdb8bb672b651146c1897ebcf908773475,则下列不等式成立的是( )
A.eqIdb11eb42c5aa949d3a4e37139235341b4B.eqId2dcbbfcac2a94a3693cef41e694f7a05C.eqIdd476c0273b44456c8e1d6aaa71b1c4adD.eqId2f65359250334464951edb78bca50055
更新:2019/02/02难度:0.85题型:单选题组卷:192
3 . 已知eqIda021bca42e1048fb89884eab95fac88feqIdf478e018854744539f20755a729ae045,且eqId36941f3b37604a1293f9ff38fd96b6e0,则向量eqId1da0f28d13de4404b1255259409bc7ad与向量eqIdc91f7835c4144e81ab23732f3d013fc7的夹角为(  )
A.eqIdd3e88ecbd2db456396e01302a43b93d9B.eqIde80ed1663048435fb4f9c5f762732734C.eqId87a9bbb6dd564186905f2064b8c22182D.eqId022e530e1dd6453ab54467745e9df0a8
更新:2019/02/06难度:0.85题型:单选题组卷:459
4 . 函数eqIdadd1e6242b8d43b1893e9b96919902b1的零点个数是(    )
A.eqIdf1bd69290a464f71ac73b93c51985105B.eqIdc052ddfbd4524f67a79e0e77c2e5656aC.eqId8898c1dc81824f3098bbeae74e8f11fdD.eqIdddd35c5d043e4ebeac32a99367053c68
更新:2020/02/22难度:0.85题型:单选题组卷:552
5 . 函数eqId9e0ed514937644c3a4d5c1e5fe4f0081的部分图像大致为(   )
A.figure
B.figure
C.figure
D.figure
更新:2020/04/08难度:0.85题型:单选题组卷:240
6 . 函数eqId9927ea2fb0a14744aeeeb9eabc6f8307的两根是eqIdfa65771356bf42f5a1142b4fd8b16da3eqId8909dbfb65d8489fa2a3cef123f550a3,则eqIddd895ca5b7314735b2ea3029ffa3555f(  )
A.eqId7f4cbc932b504200bd85e1dbb4d96181B.eqId2411e237a6024ba5812575d3840e3781C.eqIdab7cb7cf6f374dca93e01c743e2fffbaD.eqId08c6d6e29d1b4f268313bd843be2cf81
更新:2019/06/20难度:0.94题型:单选题组卷:486
7 . eqId992fe44057cf4492895193f3f5398449中,eqId926998504f3f46dd91d220c9b74be802eqIddddccbe385534462b51b1e1b448764e2eqIdb35ae9031293412782b951225e069ba4,点eqIdbedf755e0fdb4d078d6859360706b163满足eqIdce6c407dd7a641c28ecb836a9e163221,则eqId779f16075a3648c39470576affe0d442等于(  )
A.eqId4afe042f8c6844dcbc3282d8306c518eB.eqId5240789b4ec5476c8d14f2c4b15032f7C.eqId8dc47626058d4291b61c2d73fc1b59f1D.eqIda35cf66775a24732b08dc411968e2420
更新:2019/06/20难度:0.94题型:单选题组卷:318
8 . 设变量eqIdc12aac8c2448479687a40735b3572a23eqId072d7d6b911b42bc89207e72515ebf5f满足约束条件eqId0ba9283e6b274e6aa947f424d4f1d526,若目标函数eqId5b938529b9584b39af324b56285abae8的最小值为1,则eqId03f14f192131469895e70821a0966895的最小值为(   )
A.eqId9ba6110cdd954fb9b78d36a72b8a6777B.eqId1c219877fc0648a9aca7a439c884cad1C.eqIda5a130c992c74b2cbd32a815bdf8fb24D.4
更新:2019/06/20难度:0.65题型:单选题组卷:516
9 . 若数列eqId2c1230a9ef5a4968be599681d676dd2b为等差数列,eqIda0db2906046940e19de8782f94f34137为等比数列,且满足:eqId9620cd7b31bf4b0a998c484223aff57beqIddd167feea9c04fd1b894a0c8441b0def,函数eqId7297118398ea4187adfc000834cf0d7f,则eqIdde7b530cb4b94dc6859669f75cbb2b3c(  )
A.eqId232536b8bbed4f619f81f098fe3ebb9cB.eqId767acf51abfd4d97a757561d1a882151C.eqIdcf32b3b919f04cc18988c622e750e9f1D.eqIdfcc58431683b452ca65d1d9977a280bd
更新:2019/06/20难度:0.94题型:单选题组卷:393
10 . 已知锐角eqId992fe44057cf4492895193f3f5398449外接圆的半径为2,eqIdbfafc9c818504a68969d0160bf2b7a65,则eqId992fe44057cf4492895193f3f5398449周长的最大值为(  )
A.eqId62f2412997424b4ca41272f35d432557B.eqId6f05016ac9d0488fae44d54c327ea26fC.eqIdaba042ed0e954a03b435e391ca6a552eD.eqIdece4fed5984547f6bbff78e31b8d26ba
更新:2019/02/04难度:0.85题型:单选题组卷:711
11 . 将函数eqId6f35cc83ff764e1d9953fce730342df2和直线eqIdcf222875de4246bcb51e948bd0c63780的所有交点从左到右依次记为eqId346946f1395a41008d3b3b56c9ae4fbdeqId894f8d53415741dea8f7a841c68384d1,…,eqIdde71d36aa7b2424080f996e196aebcd1,若eqIdbedf755e0fdb4d078d6859360706b163点坐标为eqId0b8f3954b0d742599fb174f85fb3c91f,则eqId7a2de8d00eb740c8ab7155580411f4f6(  )
A.0B.2C.6D.10
更新:2020/04/13难度:0.65题型:单选题组卷:908
12 . 对于数列eqId2c1230a9ef5a4968be599681d676dd2b,若任意eqIdfc36d71191c54b968d4de830086513d9,都有eqIdbdf66ff94ad6497380f0a8cd504fd715eqId32454977564e4ee18da36bd51156c509为常数)成立,则称数列eqId2c1230a9ef5a4968be599681d676dd2beqId32454977564e4ee18da36bd51156c509级收敛,若数列eqId2c1230a9ef5a4968be599681d676dd2b的通项公式为eqId7a139342a8774666b77044a5c325905c,且eqId32454977564e4ee18da36bd51156c509级收敛,则eqId32454977564e4ee18da36bd51156c509的最大值为(  )
A.4B.3C.2D.1
更新:2019/06/20难度:0.65题型:单选题组卷:144
13 . 已知函数eqId327da1dbbb1b4ef08b411aa470f20dae为幂函数,则eqIdb819f157431a4d4e80aae9d992f1b159__________
更新:2019/01/29难度:0.85题型:填空题组卷:366
14 . 已知函数eqIdb485a5752dc345f99fc7f58163e9d5a7,则eqIde68998df7f21406ea41ece5188844193__________
更新:2019/12/20难度:0.65题型:填空题组卷:417
15 . 设非零向量eqId1da0f28d13de4404b1255259409bc7adeqIdc91f7835c4144e81ab23732f3d013fc7的夹角为eqIdf9db0aee08264a238b9741675591065e,记eqId154bb3b5d3b04a70bbd6d7f4c456acaa,若eqId0b4baa3cf49a47068355845272bb1f55eqId8092f7fc6b0049a6b655155e6c4b78ea均为单位向量,且eqId93403ce1ca6244128b4100ee0b64c77a,则向量eqId199efc4bf72d48b28ddc04abe7a9d9faeqId99e25fac9e064c6bb287ddd7e8c27e6d的夹角为__________
更新:2020/05/28难度:0.65题型:填空题组卷:191
16 . 已知函数eqId136e6d538a484c1895cf5131efcca519eqIdcd06b79e9e8e41d4834618a945693464,若关于eqId8e15963708e9415da25069fea5906e24的不等式eqId71c65e830d184181b9a0e0a83280edf2恰有两个整数解,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是__________
更新:2019/02/09难度:0.4题型:填空题组卷:317
17 . 记eqIddb5481de79c946c0a760143297d5eade为等比数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqIdf458db68122849abb588feb2e682d9ac项和,eqId61ae9007d7bc4622b8ee8d5b5d7d2ea5eqId5ddb516dfbc1427db75dd43f6df8a7d7.
(Ⅰ)求eqId2c1230a9ef5a4968be599681d676dd2b的通项公式;
(Ⅱ)已知eqId9d5fc9a1f38c446a90de8949efe5f22a,且eqId92ed363a54bd4a8a93df9463bb3af1f5的最大值.
更新:2020/04/29难度:0.85题型:解答题组卷:389
18 . 如图,eqId992fe44057cf4492895193f3f5398449的三个内角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3对应的三条边长分别是eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1eqId63c8736a614b478e9b549982ff6d9656eqId918bc47adcd3461c97b73b3373e89b67eqId5b02ba8ea0f841b8a824b6ec1c30a47ceqId0523aec599a74b6f886c7744f0293d50.
figure
(Ⅰ)求eqId558148e9cfeb4a05a62ac3c86bcee0c2的值;
(Ⅱ)求eqId5c5102beb2924d8cadbe59fc68134a58的面积.
更新:2019/06/20难度:0.65题型:解答题组卷:318
19 . 设eqIddb5481de79c946c0a760143297d5eade为数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqIdf458db68122849abb588feb2e682d9ac项和,且eqId77b3f6b9955e499dbdab033a38779496eqId6ec0a648326947dba600e63d9fe0c426eqId532dc4d959024b79b546428f5856e5aa.
(Ⅰ)证明:数列eqId091100d28890453da9ea06021f975b67为等比数列;
(Ⅱ)求eqIdea9dd6bf12d34db891babbc0342eefc6.
更新:2017/06/07难度:0.65题型:解答题组卷:1533
20 . 2019年春节期间,由于人们燃放烟花爆竹,致使一城镇空气出现污染,须喷洒一定量的去污剂进行处理.据测算,每喷洒1千克的去污剂,空气中释放的浓度eqId072d7d6b911b42bc89207e72515ebf5f(单位:毫克/立方米)随着时间eqId8e15963708e9415da25069fea5906e24(单位:天)变化的函数关系式近似为eqIdaefdf7a4f1df407281e7196be35c9eab,若多次喷洒,则某一时刻空气中的去污剂浓度为每次投放的去污剂在相应时刻所释放的浓度之和.经测试,当空气中去污剂的浓度不低于4(毫克/立方米)时,它才能起到去污作用.
(Ⅰ)若一次喷洒4千克的去污剂,则去污时间可达几天?
(Ⅱ)若第一次喷洒2千克的去污剂,6天后再喷洒eqId2a9f03ea648548cea39c731efb60cf14千克的去污剂,要使接下来的4天中能够持续有效去污,试求eqId70a27b6ddf6b478285353abb3b1f3741的最小值.
更新:2018/11/26难度:0.65题型:解答题组卷:588
21 . 若对定义域内任意eqIdc12aac8c2448479687a40735b3572a23,都有eqIdf5c0b49c69c74fed9434893ab24aa587eqId70a27b6ddf6b478285353abb3b1f3741正常数),则称函数eqId6f13759e937144069819aed2ae5a1057为“eqId70a27b6ddf6b478285353abb3b1f3741距”增函数.
(Ⅰ)若eqIdb8133559f8f54473ae8d9ece3fbf2ea4eqId45f4ca0a3e5c4a4fa9585073df543039,试判断eqId6f13759e937144069819aed2ae5a1057是否为“1距”增函数,并说明理由;
(Ⅱ)若eqId155a225ba9c04cf181d0cb11be77b08eeqId5f82f8023bfb4d948edeba94fc2d3e0f,其中eqId4304619a9e2147ae84a1c07d4fe87d6b,且为“2距”增函数,求eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
更新:2019/12/03难度:0.65题型:解答题组卷:206