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四川省蓉城名校联盟2018-2019学年度下学期高二期中联考文数试题
适用年级:高二 试卷类型:期中 试题总数:22 浏览次数:108 上传日期:2020-04-02
1 . eqId6fe7437717984e18aab9a92fa26aee1a(   )
A.eqId388b5c180bad4f39a30cc30a93ffa23fB.eqId9109bf6283694754849f118c02b15f4eC.eqId94dd0f82961d429ba810b3b406dffb0eD.eqIdd6552664b6ff4935b63d7b2b3ce052c6
更新:2020/04/03难度:0.94题型:单选题组卷:46
2 . 已知命题eqId0c243e5dded24989821daf9bef2676a6eqId6709283711bf4ae39fde99d031d3bb28eqIde14766fb072e4f4b9cfe73ee745a0cf6,则命题eqId0c243e5dded24989821daf9bef2676a6的否定为(   )
A.eqId6709283711bf4ae39fde99d031d3bb28eqId66b7fc15f27a48928aabbf515c3414d4B.eqId6709283711bf4ae39fde99d031d3bb28eqId0ca4bdb46f244e0b8f655ab4bb901075
C.eqId51db82f003ad4fa4b401501380774426eqId66b7fc15f27a48928aabbf515c3414d4D.eqId51db82f003ad4fa4b401501380774426eqId0ca4bdb46f244e0b8f655ab4bb901075
更新:2020/06/02难度:0.94题型:单选题组卷:59
3 . 曲线eqId64827682c78a42d984e17c2ae4391de1在点eqId40b76e0924f549e5b10aa29fc644fc05处的切线方程为(   )
A.eqIdd0ede84083ff4163916d35d5d373670aB.eqId6ac1714e19114885b39ae265e71d0ac1
C.eqId9465eefd88024ca5a0cbfeb43307f639D.eqId58aeb91abc9e402aa020b3208711c397
更新:2020/04/02难度:0.94题型:单选题组卷:130
4 . 已知某几何体的三视图如图所示,则该几何体的体积为(   )
figure
A.1B.2C.3D.6
更新:2020/04/02难度:0.85题型:单选题组卷:37
5 . 函数eqIdb4f0970a884f4d87a115860941ffb090的最小正周期为(   )
A.eqId2cb51764ae3949b9b698fc2f9527dff2B.eqId7a1ead8f5cfa47f1b68f0ca61cd1599aC.eqId45b3da198ba74223a230c3f816aedb54D.eqIdc12500d69e0342b3be4db149b0244a7a
更新:2020/04/02难度:0.85题型:单选题组卷:37
6 . 如图是函数eqId9b37d03e47a347fc8fab9f814ba5fac4的导函数eqId8436fcd63462478d8768064470e5dc36的图象,下列说法正确的是(   )
figure
A.eqId185bd986038b40399cbf19fc634eeb2d是函数eqId9b37d03e47a347fc8fab9f814ba5fac4的极小值点
B.eqId5db4a4f976ba42089c0439595abeb40b是函数eqId9b37d03e47a347fc8fab9f814ba5fac4的极大值点
C.函数eqId9b37d03e47a347fc8fab9f814ba5fac4eqId68f73587123947aba24aeda2e00fec2c上是减函数
D.函数eqId9b37d03e47a347fc8fab9f814ba5fac4eqId22d778671e27461e80a10601453ba630上是增函数
更新:2020/04/03难度:0.85题型:单选题组卷:135
7 . 已知直线eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7,平面eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159,则以下结论正确的是(   )
A.若eqId6cbd007ab49741748d41c4c7bdb977b5eqIda9a5839d890f48c8880f78c33f0dc412,则eqIdf098609c70d0451dbc7903caecd2d08e
B.若eqId6cbd007ab49741748d41c4c7bdb977b5eqId9d7f22bed5c04d77b14ee0c3798463a5eqIdb80cc2a953e34e32a62a2211f223c20a,则eqIdd80209f32d0945f7a14a286b64d35d96
C.若eqId9d7f22bed5c04d77b14ee0c3798463a5eqIda9a5839d890f48c8880f78c33f0dc412eqId1b64978a1bbd40d58cb8eadb0e26b000,则eqIdd02fd5ff61524385a556673ea1b32106
D.若eqId6553adfc2daa459d8d01567a19498914eqId342a1e9f4d8d444abd2df388b0e45f01eqId3bd7ece25ddf4b5089553c98af881bad,则eqIdf098609c70d0451dbc7903caecd2d08e
更新:2020/04/02难度:0.85题型:单选题组卷:30
8 . 执行如图程序框图,则输出的eqId08191f2c12324f94b4ddfe2f324a71cf为(   )
figure
A.100B.91C.90D.89
更新:2020/04/03难度:0.85题型:单选题组卷:34
9 . 若不等式eqIda4849a64af1e4449b40ad16edf0591a8,当eqId9b2bca6d99364ce799c376e2b063e6d8时恒成立,则实数eqId32454977564e4ee18da36bd51156c509的最大值为(   )
A.eqIde72c898310bf4fb1a72beeaf8a335d66B.2C.eqId44821efbbe924150b62b015dc406cbb4D.eqId74cb882ded0b46938a9f0e630101a97c
更新:2020/04/03难度:0.65题型:单选题组卷:62
10 . 已知函数eqId3d6276cd40e64e5b89a1fef0a512dd5f存在极值点,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围为(   )
A.eqId44c957db47c84151ba6d58a4044d2e66B.eqIdb58a803a3e7d49c382580cbdb5c33e07
C.eqId57de5222cc3e4e64b1333b455b4e7c00D.eqIdcb79cfbd0e8a43b49fc80ab6ff77de1c
更新:2020/04/02难度:0.65题型:单选题组卷:119
11 . 设函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的可导函数,其导函数为eqIdd26cd9f8ad374ae192a20aada45c1618,且eqId1b421ae87dc34bca8020e8f019258ddfeqId5a1994a0db7247c4a8de4f7211636635,则eqId60b7aa46ce9f4c84b47cfad2a814f311的解集为(   )
A.eqIdcb79cfbd0e8a43b49fc80ab6ff77de1cB.eqId74c19d26c3b84210b9fae81202490390C.eqIdb76df09ef6d24ccaa7d8b4819a365191D.eqId57de5222cc3e4e64b1333b455b4e7c00
更新:2020/04/02难度:0.65题型:单选题组卷:94
12 . 已知椭圆eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdf18b5700afd748c9af08fbce0977010b的左焦点为eqId63db14a5b4334f3ea583c8fb12b0d175eqId93cbffaa5ae045d6ac45d1e979991c3a与过原点的直线相交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,连接eqId211ab513a02842808eee31b029297b06eqId91a3a60f05ba4520a4dfd21420cf28ca,若eqId27575ef8e17f47e38bef8e606b45c3a3eqId288990670aa8418a8880315d4187ea4d,则eqId93cbffaa5ae045d6ac45d1e979991c3a的离心率eqIdf035b8f27d4645bb9f6a66f4a3f51918为(   )
A.eqIdac29534822f24eb0a52b51f6b52bb23dB.eqId60092fca760645e5980f5bc0ccaa0884C.eqId8a6ab9993bc847b9962cf12ee11067fdD.eqIdfe23ca769d7948bfaf62cb8a330a745c
更新:2020/04/03难度:0.65题型:单选题组卷:73
13 . 函数eqIdb0dcb508e36241dab5e56376cb2d5177的导数eqId0ccb9b8227354bb4bdf56b97095ec2d0______.
更新:2020/04/02难度:0.94题型:填空题组卷:35
14 . 某校有高一、高二、高三三个年级的学生,数量分别为780人、720人、660人,为了解他们的视力是否存在显著差异,用分层抽样方法抽取了一个容量为eqIdf458db68122849abb588feb2e682d9ac的样本进行调查,其中从高二年级抽取了12人,则eqIdf458db68122849abb588feb2e682d9ac为______.
更新:2020/04/03难度:0.85题型:填空题组卷:42
15 . 在区间eqIda75f32d729e345fca573383b8c130842上随机取一个数eqId8e15963708e9415da25069fea5906e24,在区间eqId7866cdd713694d23943f903588364452上随机取一个数eqId072d7d6b911b42bc89207e72515ebf5f,使eqId9ca3b43e5feb4104bf27fd65c3133de1成立的概率为______.
更新:2020/04/03难度:0.85题型:填空题组卷:73
16 . 已知抛物线eqIdcfc8599bedfb4ab4944abf141f348a9aeqId2a19141522074019b5a53bd5ee94710deqId3a63d00111554b9e8b896929779a293deqId0d5bfff2228c460d89199737bdf2502f有且仅有一条公切线(同时与eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d相切的直线称为eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d的公切线),则eqIdd33c7c1015944e2b81de4ff8695de842______.
更新:2020/04/03难度:0.65题型:填空题组卷:52
17 . 已知函数eqId866bae7cbbd0476582238eb3e168b49e,曲线eqId144eff5c0e4649138a21f2b1b6a06907eqId5db4a4f976ba42089c0439595abeb40b处的切线方程为eqId623f7eef11a948ab97ad752d08c60900.
(Ⅰ)求实数eqId70a27b6ddf6b478285353abb3b1f3741eqId3a4208e0040c42ed8b09de2cae9d562e的值;
(Ⅱ)求eqId6f13759e937144069819aed2ae5a1057在区间eqIdf2ef0bdb99874b77b25cfe7de9d7ddbc上的最值.
更新:2020/04/03难度:0.65题型:解答题组卷:687
18 . 某家庭为了解冬季用电量eqId072d7d6b911b42bc89207e72515ebf5f(度)与气温eqId90b925e01d6048368ab654aaeb652af5之间的关系,随机统计了某5天的用电量与当天气温,并制作了对照表,经过统计分析,发现气温在一定范围内时,用电量与气温具有线性相关关系:
eqId90b925e01d6048368ab654aaeb652af5
0
1
2
3
4
eqId072d7d6b911b42bc89207e72515ebf5f(度)
15
12
11
9
8
 
(1)求出用电量eqId072d7d6b911b42bc89207e72515ebf5f关于气温eqId8e15963708e9415da25069fea5906e24的线性回归方程;
(2)在这5天中随机抽取两天,求至少有一天用电量低于10(度)的概率.
(附:回归直线方程的斜率和截距的最小二乘法估计公式为eqId646026a47e34459b9d823cc179c325d6eqId40678fe6847a4a9db84bb535c0b091a3
更新:2020/04/03难度:0.85题型:解答题组卷:55
19 . 在eqId992fe44057cf4492895193f3f5398449中,角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3的对边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,且eqId33eb373beaf64aaa95539d416e7a1904.
(1)求eqId5f7198bcbf3f4e21b941b37501b323df的大小;
(2)若eqIda08ce385279d41c789695fb651b17890,且eqId1b3ee7599ad84482887496c8851d0f6a,求eqId3de612e435944f09ae5f19c7c64d03c4的值.
更新:2020/04/03难度:0.65题型:解答题组卷:105
20 . 如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,底面eqId5ce7a06ae7a34393b92b5277978ac014为矩形,已知eqId43fe05c727b14343a0211870697669c9平面eqId5ce7a06ae7a34393b92b5277978ac014eqId3966641442a4425ca9855c1dc0de2008eqIdd0c1d3d84e78446d84e4391e8a3c5e09eqId93cbffaa5ae045d6ac45d1e979991c3aeqIda4133d812272499891a1f8813d5747f8的中点,连接eqId66d409c343f04cfda647f9bfc7da6b2aeqId1dcb20a9ce8d4076af5dd64f7066c6d6eqId1b51efe7c2fa42748ac5a6be262e2fa4.
figure
(1)证明:平面eqIde3f1e1baea654cbf8b97c994b94f3f6e平面eqId0902deb68f0b430f932caadd41cd761a
(2)若将四棱锥eqIdac097205e9cb41279269aadcac3fb6f1沿着平面eqId076f835a1f2c428898c79204bd1d52fd截去一个三棱锥eqId06f0796d441c46ad9c8384230a02b091,求剩余部分的体积.
更新:2020/04/02难度:0.65题型:解答题组卷:51
21 . 在椭圆eqId19a4eb16029e4550a14f2afe4741a3c3eqIdf18b5700afd748c9af08fbce0977010b中,点eqIdcc614bd3390c4d028df189b234dcc351eqId63db14a5b4334f3ea583c8fb12b0d175分别为椭圆的左顶点和右焦点,若已知离心率eqId1cce1ece754141e9802d00c424bd69f6,且eqIdcc614bd3390c4d028df189b234dcc351在直线eqIde10cdbf32e9248738ffa9bdc5a1ca05b上.
figure
(1)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)过点eqId63db14a5b4334f3ea583c8fb12b0d175的直线与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811两点,连接eqIdc390e4cf2bc742088263f6b3d1902201eqId0c43edec1bef4ede93a413694f6f5d55分别交直线eqIdd59777a92d8f4da290823fc3dc6b5c26于点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6,求证:以eqId996e2048847f41d5a5fe0e2282909254为直径的圆经过定点eqId63db14a5b4334f3ea583c8fb12b0d175.
更新:2020/04/03难度:0.65题型:解答题组卷:33
22 . 若函数eqId3ca88d19e0dc4ec786fb4701482eb1c2.
(1)讨论eqId4837c94ef0ff4dcf9b1dda4df363275a的单调性;
(2)若eqIda9bdfcc4f50949feafc4f4d175e17190eqIddca4c31f92e1447fb6eceb9fdf294175上恒成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(3)求证:对任意的正整数eqIdf458db68122849abb588feb2e682d9ac都有,eqIde7be62f4b63847978bb6df790f03c570.
更新:2020/04/02难度:0.65题型:解答题组卷:105