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江西省奉新县第一中学2020届高三上学期第二次月考数学(文)试题
适用年级:高三 试卷类型:月考 试题总数:22 浏览次数:409 上传日期:2019-10-09
1 . 已知集合eqIdcc614bd3390c4d028df189b234dcc351eqIdc1a196206adc41638dc0abdeab2b7179eqId0950ae59f184408eb098282cc92bbf95,则eqIdc7e17aac3f664408a20c2c2cbb4f5426=(  )
A.eqIda685bc386dc24f5e946420f908b1fb51B.eqIdeefb4b831d904b738ba2c35aef7859b1C.eqId1973bb35b64c4122ab63252a14a5307eD.eqIdeb7a94fed9fe413fa1e9be14c7e6b4a9
更新:2020/04/05难度:0.65题型:单选题组卷:595
2 . 复数eqId942d05740c454af687127f33b9391cbc,其中eqIdb6e15e51d29a47a7aff44f98b1aafaee为虚数单位,则eqId6eea406932bd4f198b5ccf240aa9384b的虚部为(   )
A.eqIdfca343da1efc413487359c1551da9dbeB.1C.eqIdb6e15e51d29a47a7aff44f98b1aafaeeD.eqIddb9eca52161d4f52a9deb735b6ad64fc
更新:2020/05/26难度:0.85题型:单选题组卷:1682
3 . 我国南北朝时的数学著作《张邱建算经》有一道题为:“今有十等人,每等一人,宫赐金以等次差降之,上三人先入,得金四斤,持出,下三人后入得金三斤,持出,中间四人未到者,亦依次更给,问各得金几何?”则在该问题中,等级较高的二等人所得黄金比等级较低的九等人所得黄金(  )
A.多1斤B.少1斤C.多eqIda8012d5322b240128851ebf3cd086e12D.少eqIda8012d5322b240128851ebf3cd086e12
更新:2020/04/03难度:0.85题型:单选题组卷:328
4 . 过点figure作圆eqIddfe56a07c22a44e09767c3e16dc14481的两条切线,切点分别为eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,则eqId54ec3e7a25264239ab55e22a546ec30b的外接圆方程是
A.eqId5a23bf2765f04c7a8571480945c09e9cB.eqId7e92ca14d4c44890a6355f0e35506119
C.eqId095bb5e61e3e4cb3b1c89c57b746effeD.eqIdd4c436139255476c9121074924229015
更新:2020/01/05难度:0.65题型:单选题组卷:1113
5 . 以下四个命题:①命题“若eqId56516e4f60d7499d9efe6dd90d15c7ca,则eqId5db4a4f976ba42089c0439595abeb40b”的逆否命题为“若eqIde7320682fc974323b9e36812c8d054d9,则eqIddae4ca6c5077451e8256675a5ac358b0”;②“eqId6c7b6f231ad749f89bbe27c675b1061a”是“eqIdb6edf018e9824c39be8989802a36017e”的充分不必要条件; ③若eqIdc89abe1e4d584e16b3718409cb609213为假命题,则eqId4aba4a8775ac4d03b9f06e66b95b183f均为假命题;④对于命题eqId2d158588349c402f8260d32c9fb0a5c4使得eqIdfb954b99740f4fafa707384bc494c304,则eqId56cd6a0be2d74b0896f864eff8f2a23eeqId6709283711bf4ae39fde99d031d3bb28,均有eqIdd42421ba789d4fa780421da2f2fb67d7.其中,真命题的个数是 (   )
A.1个B.2个C.3个D.4个
更新:2020/04/05难度:0.85题型:单选题组卷:363
6 . 设四边形ABCD为平行四边形,eqId03635c9286ea426b9c788c3dbd1e068ceqId5716ce87280e46058ee25b184b0ab6ec.若点M,N满足eqId640799d764344c0e9ebc7a7ef5f785f4,则eqIddc64749a651f49939453fc224ce06879()
A.20B.15C.9D.6
更新:2015/06/24难度:0.65题型:单选题组卷:2476
7 . 如图,网格纸上小正方形的边长为1,粗线画出的是某几何体的三视图,则该几何体的体积为   (  )
figure
A.eqIdd2bd45075ed1466496fc471a633d0c5dB.eqId5486b41ac0fa4474ba20d77a6dbd698aC.eqIdca08a9cd37f44eb0967a6019dac264bbD.eqId0f6593d141664958b68acb78a5a2a34d
更新:2020/03/16难度:0.65题型:单选题组卷:283
8 . 若点的坐标满足,则点的轨迹图象大致是
A.figureB.figure
C.figureD.figure
更新:2020/04/17难度:0.65题型:单选题组卷:362
9 . 在棱长为1的正方体中eqId588284d93dc5489295f8f224f8e30d13,点eqIdbedf755e0fdb4d078d6859360706b163在线段eqIdce3304c847ca47f486f045a4fbfc0ecd上运动,则下列命题错误的是 (   )
figure
A.异面直线eqIdee6e28ede4324abb841a28f9bb8839b7eqId2ba09996eeec4104b66e30986afa6081所成的角为定值B.直线eqId34c6b6e427744abfb88dc90b8c7c2111和平面eqId912c24de274f4e2c9793094e74d1f350平行
C.三棱锥eqId83f3f5e6c3954f59b7eedb4d5f7cf0e2的体积为定值D.直线eqId14ea6a37d2b74c69824ef59b47823e64和平面eqId44fac766b2fa468bba39fe9df77d12d9所成的角为定值
更新:2020/03/16难度:0.65题型:单选题组卷:2133
10 . 已知函数eqId458648645fa14efabfffcf872f1de566对任意eqId9d9793517fa24f3f949fb2efb480b3e2都有eqId8703a7eabdce4269ad15731e602565fa,若eqId6f13759e937144069819aed2ae5a1057eqId709ec851aa7f40cd83058628505963c0上的值域为eqIdde71308f39b643b3b30afceea9128874,则实数eqIdf15782a6b93b49aeb4285c6f304dbe29的取值范围为(  )
A.eqIdc6920daa90c543af8acb4f9fdec022daB.eqId7e35881dc0d84986b8612031af5f6a6aC.eqId4225acf1b3a1432db1d32985f7dd6d44D.eqIdee01832ce06d47e7a337e61c6d7414c1
更新:2020/03/17难度:0.4题型:单选题组卷:1115
11 . 将函数eqIdbc374013f51547b988dd4350303f25a7的图象向左平移eqId468caa996ec94b9ca31ce59724e5cc7d个单位后,得到函数eqId28c4c21271884dfeac29ce0222782376的图象,若eqId87d8f7a2b99c422eb9c6ac4f7703ae95,则实数eqId32454977564e4ee18da36bd51156c509的最小值为(  )
A.eqIdd3bcc070c3e54ef49890c35856b948f0B.eqId85d5e82edb6f4deea37822a94028a099C.eqId6a74f495d52d4fafa37efa264e3f9b9dD.eqIdc930e5e3eba9461b87d79e7382b6483e
更新:2018/04/21难度:0.65题型:单选题组卷:657
12 . 已知函数eqIde0454dcbee1f43b7bce1e947b7653cfb,方程eqId23a89c6d312745609274a435305599bb对于任意eqIdc46c7812895b49459fea4e237c8a6d34都有9个不等实根,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围为(  )
A.eqIde327c47000b04c6daee727c47be19120B.eqId0f57d8a8d57848ea8e247addbd988d7fC.eqId9b743ccafd2447b586cb682d77c8be2cD.eqId3ab1f867159744cfaf356078813ab45c
更新:2020/04/26难度:0.4题型:单选题组卷:372
13 . 设eqId992fe44057cf4492895193f3f5398449的内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4的对边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,若eqIda08ce385279d41c789695fb651b17890eqIdf6b602366b4f49449d44bc6f6ef7bc31eqIdc8069b782bc94bccbfd56af46eb4da61,且eqIde0a8f19e25b04a60ba78e7c15291c0be,则eqIde6581f86694d4da4afaef4d6876ce375________
更新:2019/10/09难度:0.85题型:填空题组卷:186
14 . 已知实数eqId7325f59d822c4c318b79153587a4f903满足eqIdac352162124c4632807850e91d4e313d,则eqIdaa782660712347d0836d10e6572d648c的取值范围为_______.
更新:2019/10/09难度:0.85题型:填空题组卷:126
15 . 已知定点eqId25b9c2bb6421426d8c74b9b5505ef247,直线eqIded30194b5258489cacea9b0b9e7a08a0相交于点eqId2381423d4cd146cab95f55527681a766,且它们的斜率之积为eqId62eff4e5932b443ebd29c070574afa79,则动点eqId2381423d4cd146cab95f55527681a766的轨迹方程为_______.
更新:2019/10/09难度:0.85题型:填空题组卷:935
16 . 已知四面体eqId5ce7a06ae7a34393b92b5277978ac014中,eqIdcc3712704c2c49358690be241e973386,二面角eqIdd6b45960c6954316943730fe84c281a8的大小为eqId4c3d78efd4da4708ad962c13dbd0ca1d,则四面体eqId5ce7a06ae7a34393b92b5277978ac014的外接球的表面积为________.
更新:2019/10/09难度:0.4题型:填空题组卷:577
17 . 若eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37a,且eqId6e5269be1c80439ebfaa37ec4623aacf
(1)求eqId342df0dfc2674dd49ab14fff4513c105的最大值;
(2)是否存在eqId4959a8a13c0b40f3a3b076626a4b616c,使得eqId6569c7b926a84b878db9e4c4586ef74a的值为eqIde0b8cd3018f64415bea8dce0a25d0538?并说明理由.
更新:2019/10/09难度:0.65题型:解答题组卷:213
更新:2019/10/09难度:0.65题型:解答题组卷:220
19 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,且eqIda82e954b51c54d1caec45f14e3bdee85成等差数列,eqId5197cf1339344353a6a4e1779cf643ef.
(1)证明数列eqId47af774d9826496f909ef4ce3d8b0009是等比数列,并求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)若数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63中去掉数列eqId93e38ecd74a24cb59da79181b95bfd3a的项后余下的项按原顺序组成数列eqId74ef5fe5183946caaee41d8974816a20,求eqId81e1ec143ae24b21924ec39da65af69e的值.
更新:2019/10/09难度:0.65题型:解答题组卷:283
20 . 如图,在三棱柱中,的中点,点在平面内的射影在线段上.
figure
(1)求证:
(2)若是正三角形,求三棱柱的体积.
更新:2020/02/25难度:0.4题型:解答题组卷:1072
21 . 已知函数eqId6c2d6d7245714a52a05307da745a44f3-2为自然对数的底数,eqIde9edd995034840cfb557ea415074294a).
(1)若曲线eqId4d3e93a6d87549de932f2ff7ade9eadb在点eqId0b1b4db05c2b4383b710e7d505a3605a处的切线与曲线eqIdd6c8ac4771584776bbb87ec87eae19d5至多有一个公共点时,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(2)当eqIdf113dd8cba2f4f98b447798175fee757时,若函数eqId05237c2063b74d4eb5f3ba2c9cb8f1dc有两个零点,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
更新:2019/10/09难度:0.65题型:解答题组卷:344
22 . 如图,eqId5ce7a06ae7a34393b92b5277978ac014是正方形空地,边长为eqId00fffd75a7b54f0a909ca81ee84347ff,电源在点P处,点P到边eqIdc8f95d471a9c444cbd89a2e5fd228926距离分别为eqIddfa5d4058e5f4627820998c56342a76b.某广告公司计划在此空地上竖一块长方形液晶广告屏幕eqId3e7f9a89d7c14bbf96e922ed3685d0c5eqId8ac7fc289cb445c6a6b8abf26f7c5c0c,线段eqId996e2048847f41d5a5fe0e2282909254必须过点P,端点eqId517584fed25c413ba8b7bb33ffa2d5c6在边eqId99a3187c2b8f4bcc9703c74c3b72f1f3上,端点eqId2381423d4cd146cab95f55527681a766在正方形eqId5ce7a06ae7a34393b92b5277978ac014的边上,设eqIdc48e4c80dfaf442b90d0cf9e228027ba,液晶广告屏幕eqId3e7f9a89d7c14bbf96e922ed3685d0c5的面积为eqId3de9b259463547559222326b8002f5a6
figure
(1)用eqId8e15963708e9415da25069fea5906e24的代数式表示AM;
(2) 求eqId1b7d8b87b50e4cfdbf89d48980209a52关于eqId8e15963708e9415da25069fea5906e24的函数关系式;
(3)当eqId8e15963708e9415da25069fea5906e24取何值时,液晶广告屏幕eqId3e7f9a89d7c14bbf96e922ed3685d0c5的面积eqId1b7d8b87b50e4cfdbf89d48980209a52最小?
更新:2019/10/09难度:0.4题型:解答题组卷:1754