中学学科网组卷网 教评网 学易书城
e卷通介绍 使用手册 收藏本站 有奖挑错建议
(提示:单击题目可显示答案和解析)

2018年上海市格致中学三模数学试题

适用年级:高三试卷类型:三模试题总数:21浏览次数:42上传日期:2019/12/5
1 . 已知集合eqIde261c747f04b4e5ebf3d84d23757a183, 若eqIdf025e91176bd423dbdde444697e06bee,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是__________.
难度:0.85组卷:32题型:填空题更新:2019/12/5
2 . 已知直线eqId1179b7217f924387ab4293f352b788bdeqIdc6d55cb3ed7741fab050c2f39b8c05fd平行,则eqId74c7e0292b094e54ae596d37798a05edeqId439fb93f7745417b8bb1747d963c6e60的距离为__________.
难度:0.85组卷:67题型:填空题更新:2019/12/5
3 . 已知点eqId5feaf6de192847e399f0320f52776824在函数eqIdb5fe6d3b1d264432b2f8f673e31325f1的图像上,eqId4dd90e6ea80a468085efeae66dce12db的反函数为eqId7571eb3c5a4d4a268ff804ce1e997c79,则eqId75cfdc04ce614ceb81a977917c72c445_____
难度:0.85组卷:63题型:填空题更新:2019/12/5
4 . 已知eqId7325f59d822c4c318b79153587a4f903满足eqIdf9bde424c3f94d63afdca1b3ad95d09b,则eqId2fe9c282900245c8a3d71f858046c892的最小值等于__________.
难度:0.85组卷:51题型:填空题更新:2019/12/5
5 . 一圆柱的主视图与左视图都是长为eqIdddd35c5d043e4ebeac32a99367053c68,高为eqId8898c1dc81824f3098bbeae74e8f11fd的矩形,则此圆柱的表面积为__________.
难度:0.85组卷:42题型:填空题更新:2019/12/5
6 . 已知eqId7b0e432583d54baf9ecae3262e5c6c41,其中eqId70a27b6ddf6b478285353abb3b1f3741eqId7c74e12bac9f4576a738a38bd0cbe415eqIdb6e15e51d29a47a7aff44f98b1aafaee是虚数单位,则eqIdf82588160a0949bfb113971fad9a7f72的值为________.
难度:0.94组卷:47题型:填空题更新:2019/12/5
7 . 在eqIdd10fe01a294649c784ada70f297743a1的二项式中,有且只有第五项的二项式系数最大,则eqId6aee52a60be946199da743012ec8405c_________.
难度:0.65组卷:194题型:填空题更新:2019/12/5
8 . 某工厂生产某种零件需要经过两道工序,在第一、二道工序中生产出废品的概率分别为eqIddfdc2d8ad8df43549f855947e01b1e21eqIdb56b2876a719403b8f9fc6c5de3e885e,每道工序生产废品相互独立,那么经过两道工序后得到的零件是合格品的概率等于__________.(精确到eqIddfdc2d8ad8df43549f855947e01b1e21)
难度:0.85组卷:76题型:填空题更新:2019/12/5
9 . 已知eqId6f782d71f5a7422aa78bd8204949ce26垂直于eqId992fe44057cf4492895193f3f5398449所在平面eqId0f97f9b996ff480ca63dda9ecef520f3eqId0627be51821d4be7b3e024a354815d64的中点,又eqIdad69b3ba2bc04c60ae12fc8c688df5e1与平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac所成的角分别为eqId65902053c6814a6aaff4cd3e68718a61,若eqId3ed794cbe3c4438a80ab777a49ec3935,则eqId8db2c414361f4eb2bf96bccb4357a891 __________.
难度:0.65组卷:68题型:填空题更新:2019/12/5
10 . 已知集合eqIdeb53cb7cb0274f7d8f111c60f824c243都含有eqId5557c7b84f794778b10717993bbb709e个元素,eqIdc7e17aac3f664408a20c2c2cbb4f5426含有eqIdddd35c5d043e4ebeac32a99367053c68个元素,集合eqId19a4eb16029e4550a14f2afe4741a3c3含有eqId8898c1dc81824f3098bbeae74e8f11fd个元素,且满足:eqId06f48801fb9d4f6997ac152952c82f12,则满足条件的集合eqId19a4eb16029e4550a14f2afe4741a3c3共有__________个
难度:0.65组卷:64题型:填空题更新:2019/12/5
11 . 设函数eqIde54168fe29914514bec50a9e9b6ba795,则不等式eqIdd267bfb6690647a38582c9c0e97b5072的解集为________.
难度:0.65组卷:85题型:填空题更新:2019/12/21
12 . 在边长为8正方形eqId5ce7a06ae7a34393b92b5277978ac014中,点eqId2381423d4cd146cab95f55527681a766eqId0627be51821d4be7b3e024a354815d64的中点,eqId517584fed25c413ba8b7bb33ffa2d5c6eqIdbf4db7d066034b139ff80a09ab139d45上一点,且eqId42caea917e8542699a427d83523ec3ee,若对于常数eqId3a4208e0040c42ed8b09de2cae9d562e,在正方形eqId5ce7a06ae7a34393b92b5277978ac014的边上恰有eqIddd4bf187d3fd47f6bcc24e568e09643e个不同的点eqIdbedf755e0fdb4d078d6859360706b163,使得eqId059772f5bd904b359cf50b92cd9d0d4e,则实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围为______.
难度:0.4组卷:82题型:填空题更新:2020/3/11
13 . 在平面直角坐标系中,曲线的参数方程为eqId7d5ff4d8794b40e69cc1b222f29ff60a,当eqId8bf3a5cbd37746e7a671ff30d9214065为常数,eqId32454977564e4ee18da36bd51156c509为参数,方程表示的曲线为eqIdcfc8599bedfb4ab4944abf141f348a9a:当eqIdc13953f2514e4c8f9c8aaaf5241c33ac为参数,eqId76ab450c62494544b669eee620e59395为常数时,方程表示的曲线为eqId3a63d00111554b9e8b896929779a293d.下列关于eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d叙述正确的是(   ).
A.eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d没有公共点B.eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d有且只有一个公共点
C.eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d有且只有两个公共点D.eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d至少有三个公共点
难度:0.85组卷:68题型:单选题更新:2019/12/5
14 . 明代数学家程大位(1533-1606 年)所著《算法统宗》中有这样一个问题:“旷野之地有个桩,桩上系着一腔羊,团团踏破三亩二。试问羊绳几丈长”意思是“一条绳索系着一只羊,羊踏坏一块面积为eqIdb8f733dd759047dab225007d120aec5f亩的圆形庄稼,试求绳的长度(即圆形半径)”(明代度量制:eqId37705e1ef6a84bbdbe88433e75932cdf步=eqId8f65c930571d4ff6aa6a50029d46826e尺,eqId37705e1ef6a84bbdbe88433e75932cdf亩=eqId5a853f7550164c3991feada7b17f3068平方步,eqId37705e1ef6a84bbdbe88433e75932cdf丈=eqId11f75c152f5341f39d020095cecda9b3尺,圆周率eqId8898c1dc81824f3098bbeae74e8f11fd.)
(   ).
A.eqIddd4bf187d3fd47f6bcc24e568e09643eB.eqId401586f7a7f248b7904a4cfeaa2ed2f0C.eqId5557c7b84f794778b10717993bbb709eD.eqId1c1b006090344679b56b4c75d395cd8e
难度:0.85组卷:135题型:单选题更新:2019/12/29
15 . 一个直角三角形三内角的正弦值成等比数列,其最小内角为(   ).
A.eqIdd80d37023c0f46ec8ca7a1625ea67c87B.eqId09284c7e6be04362a709032aed938e57C.eqId4fee91f49f604ae7a64818a68175a8a6D.eqId74c16cdfcdfa4e90ae096085d9f37290
难度:0.65组卷:17题型:单选题更新:2019/12/5
16 . 已知函数eqIdb02d4f40072445eca9f425502754970b, 则函数eqId547e1d0c29ae449aa678517da9a1fdaf的零点有(   ).
A.eqId37705e1ef6a84bbdbe88433e75932cdfB.eqIdc052ddfbd4524f67a79e0e77c2e5656aC.eqId8898c1dc81824f3098bbeae74e8f11fdD.多于eqId8898c1dc81824f3098bbeae74e8f11fd
难度:0.65组卷:44题型:单选题更新:2019/12/5
17 . 如图,正方体eqId588284d93dc5489295f8f224f8e30d13中,eqIdc3bc315778fd47ef9822f0554c98bd79分别是eqIdb592603b89184ca5801a2fce571d481e上的点.
figure
(1)若eqIdc3bc315778fd47ef9822f0554c98bd79分别是eqIdb592603b89184ca5801a2fce571d481e上的中点,求证:eqId754f0c9353354cfc965daa324a814490;
(2)若eqId9d790eeef88c48af9710f56ff5afef7b,求直线eqId1a0830891ff846de8422ea80714ecab4eqId34c6b6e427744abfb88dc90b8c7c2111所成角的大小.
难度:0.65组卷:88题型:解答题更新:2019/12/5
18 . 已知函数eqId3cccda5d8e324cef936815655f9dda17.
(1)求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的最大值及取得最大值时eqId8e15963708e9415da25069fea5906e24的取值集合;
(2)设点eqId1f946181f9b443819d98aef15642c057都在函数eqId42be2b72d20547ad96925f4801754537的图像上,且满足:eqIdf7df33c2949c4cfd93d4bc635885997b,eqId35876083de4349acbb977ad5137e266a,求:eqId7bb4caf496f14d2ebb6a8f0f98fe6d57的值.
难度:0.4组卷:153题型:解答题更新:2019/12/5
19 . 已知某种气垫船的最大航速是eqId68ecc3f1e5e8400d8f9b6002896cc2de海里小时,船每小时使用的燃料费用和船速的平方成正比.若船速为eqId26f1d01cdbbc4f73909a617af5e3e6a2海里小时,则船每小时的燃料费用为eqId2829abe217884a8b8b85cdec8db0bcdd元,其余费用(不论船速为多少)都是每小时eqId449cb440c83c4b3fa554a9f447c3a8b0元。甲乙两地相距eqId727650e20a234e51a97c72f164196d56海里,船从甲地匀速航行到乙地.
(1)试把船从甲地到乙地所需的总费用eqId072d7d6b911b42bc89207e72515ebf5f,表示为船速eqId8e15963708e9415da25069fea5906e24(海里小时)的函数,并指出函数的定义域;
(2)当船速为每小时多少海里时,船从甲地到乙地所需的总费用最少?最少费用为多少元?
难度:0.65组卷:53题型:解答题更新:2020/3/16
20 . 双曲线eqId5413695a72d44e73b4ada3c00606a205的左右焦点分别为eqId5f04473e64c141bcbe9b0a8af27f4aa8,左右项点分别为eqIdeb53cb7cb0274f7d8f111c60f824c243,点eqIdd7be5abad1e34f6db17a56660de8d54feqId19a4eb16029e4550a14f2afe4741a3c3上的动点.
(1)若点eqIdd7be5abad1e34f6db17a56660de8d54f在第一象限,且eqIdfdacfb9530434474b1bdf6f6a27237f0,求点eqIdd7be5abad1e34f6db17a56660de8d54f的坐标;
(2)点eqIdd7be5abad1e34f6db17a56660de8d54feqIdeb53cb7cb0274f7d8f111c60f824c243不重合,直线eqIdf83ddc861f1c4f11b2b1c1f071767666分别交eqId072d7d6b911b42bc89207e72515ebf5f轴于eqId71891062a8724584af9a2c4c77cd566e两点,求证: eqIde0f06697ea1143c9babdcc59cf2aaa9f;
(3)若点eqIdd7be5abad1e34f6db17a56660de8d54f在左支上,是否存在实数eqId32454977564e4ee18da36bd51156c509,使得eqIdd7be5abad1e34f6db17a56660de8d54f到直线eqId8d4c10763a83401c9d4f33af3a457e80的距离与eqId0627b001fb8f4ab39064a023ba39cc3d之比为定值?若存在,求出eqId32454977564e4ee18da36bd51156c509的值,若不存在,说明理由.
难度:0.4组卷:104题型:解答题更新:2019/12/5
21 . 对于给定的正整数eqId4d2187284c5d4de29906363f7d21f60f,若无穷数列eqId93e38ecd74a24cb59da79181b95bfd3a对于任意的eqIdfd1fce51eeb5422d8e76dea0e713f33e都满足:eqIda5af4a760d87410da197bd2b8fc7b720,则称数列eqId93e38ecd74a24cb59da79181b95bfd3a,是eqId38b3a0154e744a9caf0d0af26b4162e3数列.
(1)若eqId0ba2ac7e43a6481d9906d3ab294013ec,判断eqId93e38ecd74a24cb59da79181b95bfd3a是否为eqId2c202df754464c63bdb6b93ffce39fcf数列,说明理由;
(2)若数列eqId93e38ecd74a24cb59da79181b95bfd3a既是eqId2c202df754464c63bdb6b93ffce39fcf数列又是eqIded9f01af2b174322b7564eeb1b0b69a5数列,求证:数列eqId93e38ecd74a24cb59da79181b95bfd3a是等差数列.
难度:0.4组卷:42题型:解答题更新:2019/12/5
关注官方微信