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江苏省扬州市邗江区蒋王中学2018-2019学年高一下学期第二次月考数学试题

适用年级:高一试卷类型:月考试题总数:20浏览次数:137上传日期:2019/11/7
一、填空题
1 . 不等式eqId12446198b726445fb01a92ae1af781f1的解为_____________
难度系数:0.85使用:393次题型:填空题更新:2019/11/7
2 . eqId992fe44057cf4492895193f3f5398449中,eqIde0e70b571e304b6c96724c95c9808462,则eqId2ab613dbc09c426e8a0a9316b7e6ff0a______________
难度系数:0.65使用:230次题型:填空题更新:2019/11/7
3 . eqIdc768c18666c64eccb0a57404eb58a364=______.
难度系数:0.85使用:353次题型:填空题更新:2019/11/7
4 . 在eqId992fe44057cf4492895193f3f5398449中,若eqId2e37cf7454184861989b8989980a7e9feqIde28611a1795f427ba422c1488f89e639,则eqIdd62f44a2f63d4198b6fa4a4bb1fc7d5c的值为_______
难度系数:0.65使用:111次题型:填空题更新:2019/11/7
5 . 已知eqId7325f59d822c4c318b79153587a4f903满足约束条件eqId2d824bfb6fbc44c1b92c25b798e36d31eqId1ca8f0763d9540a08f5116f0a2f6d09d的最小值是__________.
难度系数:0.85使用:358次题型:填空题更新:2019/11/7
6 . 对任意eqIdf55410feac434626ab025684aec1ff3c,不等式eqIdc4832ccc91064f2cad08090366ec3dfc恒成立,则实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围为_______
难度系数:0.65使用:141次题型:填空题更新:2019/11/7
7 . 已知正数xy满足eqId91b314e2094240d597a6f0574c792291,则eqIdc6664c9b8640441199dc69525f8e5638的最小值是          
难度系数:0.85使用:909次题型:填空题更新:2019/11/7
8 . 已知eqId054d5a7de5684002909fe944c86227c2是等差数列,eqIddb5481de79c946c0a760143297d5eade是其前eqIdf458db68122849abb588feb2e682d9ac项和,若eqIde86fe0d529224cfdbe335dee0a481aba,则eqId3f35fa029bda4487975d7533a4f1fe14的值是_____________.
难度系数:0.65使用:574次题型:填空题更新:2019/11/7
9 . 设Sn为等比数列{an}的前n项和,已知3S3a4-2,3S2a3-2,则公比q=________.
难度系数:0.65使用:152次题型:填空题更新:2019/11/7
10 . 在eqId606f81067717437aafcb2cf5c9a8c1bc中,内角eqId9bced13d1d61416ca8224f42a09ed47c所对应的边分别为eqId5158e8594ff94ac0929a1b9f099e739d,若eqIdf028d9ca9bbd473eb6e21df4bbcf129feqId3e9d8a63c08549319aafc139ec9320c9,则eqId606f81067717437aafcb2cf5c9a8c1bc的面积为_________.
难度系数:0.65使用:394次题型:填空题更新:2019/11/7
11 . 设数列{an}满足a1=1,且an+1﹣an=n+1(n∈N*),则数列{}的前10项的和为__.
难度系数:0.64使用:857次题型:填空题更新:2019/11/7
12 . 若△ABC的内角,满足eqIdd6722c7e5fe34ec198810d12cc5dfb9f成等差数列,则cos C的最小值是_____.
难度系数:0.85使用:522次题型:填空题更新:2019/11/7
13 . 在数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId2c1129c8790048c2a3a44471c3d7098f对任意eqId532dc4d959024b79b546428f5856e5aa成立,其中常数eqId89a96288f3944e77a0347bc1781b69cd.若关于eqIdf458db68122849abb588feb2e682d9ac的不等式eqId5198eda7a71943f8881045e55859ff03的解集为eqId4a20142787cb4bbe8188d3026fd1bd0f,则实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围是_______
难度系数:0.4使用:82次题型:填空题更新:2019/11/7
难度系数:0.4使用:184次题型:填空题更新:2019/11/7
二、解答题
难度系数:0.65使用:138次题型:解答题更新:2019/11/7
16 . 已知等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,且公比eqId9fd2d66832064d79b98d15495937aeb4,若eqIdc1e4d301eec54450bd5d8b768691ec82eqId2db6ecdb400e4e5cbddf7034733456be
(1)求通项公式eqIdef9cef8e6d054d8dac46b8cde14953adeqIddb5481de79c946c0a760143297d5eade
(2)求eqId83c5c0ed786344dfb2a80ec7a5000167的值.
难度系数:0.65使用:190次题型:解答题更新:2019/11/7
17 . 在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,eqIde78cce043a6c43329b55788351ff3484底面eqId5ce7a06ae7a34393b92b5277978ac014eqId6bcdd2ee36c54403b8981b3d682dcf55eqIdeecb96c84ba340069d573f6c1caefbbbeqIdd90201022caa47c68a8c23ad1eaf7cd5eqId033857c1bfbc4bad95ff037d8d0d8c0a,点eqId93cbffaa5ae045d6ac45d1e979991c3aeqIde9b50933e347462ea824ccc9bf51fc93
figure
(1)求证:eqIda4aa868de0a440048c121a3663482e4e平面eqId02dc5b9712104a18adc92a366a8c2455
(2)当eqId06877875186c49a6b4e1f6309e7199c7平面eqId55a823bf7e6b4e1888e6e135a7470310时,求eqId54027c4a604f498a93628ef1bb12e33b的值
难度系数:0.65使用:291次题型:解答题更新:2019/11/7
18 . eqId992fe44057cf4492895193f3f5398449的内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4的对边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,已知eqId5bedc8353e554519b64e7bf358e48771
(1)求eqId8754ce8cf7f34f04abb9a0c041f57f5c
(2)若eqId26b84abcc74a47ad863140b0047f363b,求eqId992fe44057cf4492895193f3f5398449的面积.
难度系数:0.65使用:466次题型:解答题更新:2019/11/7
19 . 如图,eqId153efb8484f74e4f9130191afe0fbf6d是东西方向的公路北侧的边缘线,某公司准备在eqId153efb8484f74e4f9130191afe0fbf6d上的一点eqId8754ce8cf7f34f04abb9a0c041f57f5c的正北方向的eqIdcc614bd3390c4d028df189b234dcc351处建设一仓库,设eqId4a7f58d50d9f40f8900f118753363786,并在公路北侧建造边长为eqIdc7d395d371124f6b96fa9f664c3c0825的正方形无顶中转站eqId58a45d8f70474d8f94ea62d64c7c1815(其中eqId1a0830891ff846de8422ea80714ecab4eqId153efb8484f74e4f9130191afe0fbf6d上),现从仓库eqIdcc614bd3390c4d028df189b234dcc351eqId153efb8484f74e4f9130191afe0fbf6d和中转站分别修两条道路eqIddea509e7b8a84270b44d4c7cc675dc0e,已知eqIdbb3b0375ca7a4e7a9859ef5365720cc4,且eqIdfa6774f67ba744609bf953cef42dd829
figure
(1)求eqId072d7d6b911b42bc89207e72515ebf5f关于eqIdc12aac8c2448479687a40735b3572a23的函数解析式,并求出定义域;
(2)如果中转站四堵围墙造价为10万元eqId443d44f793f84a35bfb5ad900f950979,两条道路造价为30万元eqId443d44f793f84a35bfb5ad900f950979,问:eqIdc12aac8c2448479687a40735b3572a23取何值时,该公司建设中转站围墙和两条道路总造价eqId2381423d4cd146cab95f55527681a766最低.
难度系数:0.65使用:326次题型:解答题更新:2019/11/7
20 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和eqIddb5481de79c946c0a760143297d5eade满足eqId54d52624e2b74d18a603946a5dc5fe52,数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前项和eqId92ed363a54bd4a8a93df9463bb3af1f5满足eqIdc450d79f85f8496dbeb5345747046084eqId46d68f4e66cf4136891c86d837a74e34.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)设eqId1e78db1a6953470f9e27caa157778525,求数列eqId74ef5fe5183946caaee41d8974816a20的前eqIdf458db68122849abb588feb2e682d9ac项和eqIdb10e0852b5ff41eabe1836f73d97391a;
(3)数列eqId92e48c32f97b440ca0cff79e8a1436ef中是否存在不同的三项eqIdd652a4e6e8fc4b0d8dddfc9d4c307bb8eqIde87e6b9c4b754796b18f66244f8a4fadeqIda51149ef98994e70bf347136a0ca0ffa,使这三项恰好构成等差数列?若存在,求出eqId0c243e5dded24989821daf9bef2676a6eqIda5d0fc594d4048549d5bbda484fbecc8eqIdd9026ce1966847eb86a5e13345fed583的关系;若不存在,请说明理由.
难度系数:0.4使用:222次题型:解答题更新:2019/11/7
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