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陕西省2020届高三高考数学(文科)模拟试题(二)
适用年级:高三 试卷类型:其他 试题总数:23 浏览次数:41 上传日期:2020-08-01
1 . 已知集合eqIdb4cdcb80b75c40939856a68afe2d9fb8eqId9c69485baa3e42de80d85df053faa941,则eqId170a03e31a0e4656b66452088e998e61(   )
A.eqIdbd4710ec03ac4a24ab2c51b65c88f525B.eqIdeb7a94fed9fe413fa1e9be14c7e6b4a9
C.eqId35fad7c28d5146a3858039bf694cf399D.eqIde505bb82eeac404a871822fd8d3d7b0f
更新:2020/08/01难度:0.94题型:单选题组卷:256
2 . 已知复数eqIda5d4498587f74ebf8516034a9ef940cb(其中eqIdb6e15e51d29a47a7aff44f98b1aafaee为虚数单位),则eqIdc4f6339df5e94be1af1552f2b014e86b(   )
A.eqId744af3aa2e1c4dcdaccac6f2a43784a5B.eqId1662454d4aa84bb48aa0983fac421596C.eqId3332b3b098ff498d9868c4c7e0324c56D.eqIddb9eca52161d4f52a9deb735b6ad64fc
更新:2020/08/01难度:0.85题型:单选题组卷:137
3 . 近几年,在国家大力支持和引导下,中国遥感卫星在社会生产和生活各领域的应用范围不断扩大,中国人民用遥感卫星系统研制工作取得了显著成绩,逐步形成了气象、海洋、陆地资源和科学试验等遥感卫星系统.如图是2007—2018年中国卫星导航与位置服务产业总体产值规模(万亿)及增速(%)的统计图,则下列结论中错误的是(   )
figure
A.2017年中国卫星导航与位置服务产业总体产值规模达到2550亿元,较2016年增长20.40%
B.若2019年中国卫星导航与位置服务产业总体产值规模保持2018年的增速,总体产值规模将达3672亿元
C.2007—2018年中国卫星导航与位置服务产业总体产值规模逐年增加,但不与时间成正相关
D.2007—2018年中国卫星导航与位置服务产业总体产值规模的增速中有些与时间成负相关
更新:2020/08/01难度:0.85题型:单选题组卷:126
4 . 曲线eqIda02e8af02d2449b299d287ee24bd3c20在点eqId36a080bd52064823b5fee2a765bca4df处的切线的斜率等于(   )
A.eqIda992486db5b64f5e83b5f6a66d84212aB.eqId65c77540ee484a64b3191538ce6f5d97C.eqIdd67b3d1ce7f84653a2e59be584ab9724D.eqId6a19d2307939430b9f21e8f3b13c383e
更新:2020/08/01难度:0.65题型:单选题组卷:419
5 . “二进制”来源于我国古代的《易经》,该书中有两类最基本的符号:“─”和“﹣﹣”,其中“─”在二进制中记作“1”,“﹣﹣”在二进制中记作“0”.如符号“☱”对应的二进制数0112化为十进制的计算如下:0112=0×22+1×21+1×20=310.若从两类符号中任取2个符号进行排列,则得到的二进制数所对应的十进制数大于2的概率为(   )
A.eqIdb3027a6d3b824ce893ad42c3eb946e66B.eqIda186e6699c5f428a8d2d5d62271c49bcC.eqIddf067af528a945c6bd4af5112fe169b3D.eqId4a597fcb14d7483bb5a24d7cb6aaaa5c
更新:2020/08/01难度:0.65题型:单选题组卷:52
6 . 设eqId3a4208e0040c42ed8b09de2cae9d562eeqIdf458db68122849abb588feb2e682d9ac是两条不同的直线,eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159是两个不同的平面,则命题eqId0c243e5dded24989821daf9bef2676a6eqIdbbafc1259e8b4710ad2d6fa3ddb516c7的一个充分条件是(   )
A.eqIda5d0fc594d4048549d5bbda484fbecc8eqIdd80209f32d0945f7a14a286b64d35d96eqId7c0500caba714b489a707f6b864b8b55eqId462af0d07bbe4d46bf10d8213c48ebbeB.eqIda5d0fc594d4048549d5bbda484fbecc8eqIdd80209f32d0945f7a14a286b64d35d96eqId75becdb8e03a4669b491dd3c7c503418eqId462af0d07bbe4d46bf10d8213c48ebbe
C.eqIda5d0fc594d4048549d5bbda484fbecc8eqIdf480d8cc26064a1fabcd202b5b2c9f6ceqId75becdb8e03a4669b491dd3c7c503418eqIdee660d81ba754fc3b222b77032bca07eD.eqIda5d0fc594d4048549d5bbda484fbecc8eqIdf480d8cc26064a1fabcd202b5b2c9f6ceqId7c0500caba714b489a707f6b864b8b55eqIdee660d81ba754fc3b222b77032bca07e
更新:2020/08/01难度:0.65题型:单选题组卷:219
7 . 若eqId11aa4e7a2a924b5e9d7894b49fe19330eqId639db991527842f393a25e7627c68e2f,则eqId08a07a494e4e45c68e7555ce0040cc1b(   )
A.eqId9d216f78deae4e2696ab344fe4e9f69cB.eqId78576124a2d2454c8d51d725e7f9e16aC.eqId89cd6b19d8554a29bbadbd7905367ed6D.eqId9d216f78deae4e2696ab344fe4e9f69ceqId89cd6b19d8554a29bbadbd7905367ed6
更新:2020/08/01难度:0.65题型:单选题组卷:254
8 . 设函数eqId8d114bfe6b8b49e29677ea7e1785f5f7eqId0c10827df4214807ac8d1bda56ba2323eqId8ccf61601cf049d8a2100ee27d5b2419),对eqId75978fdaeb644194a3826d29fff06b2feqId2919155129ea41f7b5a354e9cf1e2979的最大值为2.将函数eqId6f13759e937144069819aed2ae5a1057的图象向左平移eqId87a9bbb6dd564186905f2064b8c22182个单位长度,得到函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0,函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0的图象的一条对称轴是eqId795e60324b8d40468932f101562e2734,则eqIdf15782a6b93b49aeb4285c6f304dbe29的最小值为(   )
A.eqId3e866ebc4a57441386a76af413247f0eB.eqId5f51ce9cc7fe4412baeb871cceb26665C.eqId7f4cbc932b504200bd85e1dbb4d96181D.eqIdad04b6cca48b47cdbd0d239142650251
更新:2020/08/01难度:0.65题型:单选题组卷:252
9 . 已知函数eqId6f13759e937144069819aed2ae5a1057是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的偶函数,且对eqId9e8b6fceec224f74ab04ceeb2e46d592eqId70c08d40596445378a3ebc3942e99852)都有eqId44e848c7d7654e1b8b4527a08775df3f.记eqIdbc9d7efbad6343c59c7d5b30c0858e3aeqIdeba68e047a484996846d445afd3b539aeqId512f587bbc1c4418a80ce3f21c25d9b3,则(   )
A.eqIde20b3cdceb054975bbbb3a4598602bafB.eqIdde23c9bee5f2497a98f967afa9b73a7aC.eqId2cf6c501fcaf451c89bbbe8a7b5da7adD.eqId45615ef0900647268b98d1d5eeb28a58
更新:2020/08/01难度:0.4题型:单选题组卷:347
10 . 已知双曲线eqId93cbffaa5ae045d6ac45d1e979991c3aeqId3327c113c43b4f7191d1fa2c69c46c60eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37a)的左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,点eqId2381423d4cd146cab95f55527681a766在双曲线eqId93cbffaa5ae045d6ac45d1e979991c3a的右支上,若eqIdde494ef6e23346d6b57a0c2b0ba26f4a,则eqIdfd4bc20b86c0469bb717900e6517b1bb的取值范围是(   )
A.eqId2e3a5932bc2b4e8797f40b905b9e39f4B.eqId7d4ae45e6b914a2ea5bc5f98b7380c31C.eqId67eefa49c80c4b989d187cf57471c732D.eqId482de57568494dbca725676eb9168463
更新:2020/08/01难度:0.4题型:单选题组卷:218
11 . 定义:eqId2e97f0a1336e4563b4f6eee3aad7467b表示eqId885d087d1c424e46b1f94dc6567a0b5c的解集中整数解的个数.若eqIdd78ea67ec6a6438bbeee99a429e03284eqId35077ca4f20c4b9d9ec33894fea07f77eqIdbfadbe14260f4c0b977763390c40ba5a,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqId3b8ff5b9b1624312a74ea444f25d0208eqIde0fca2486cc2411895fda3daeaf04b59B.eqIda34dd6d76e4747ee85af4240a59f2093eqIde0fca2486cc2411895fda3daeaf04b59C.eqIda34dd6d76e4747ee85af4240a59f2093eqIdd88ae8901038421a83845586d882d936D.eqId12043cfd7a824bc18a5080abe2294ffaeqId935535601a2d419f8d636b586f9d312a
更新:2020/08/01难度:0.65题型:单选题组卷:35
12 . 已知抛物线eqIdbf31c16f10784d76851cf83e57c2eeedeqId849394ff104c4de09c4d97639b4c1e87eqId85edce5e892d430e9008b0de126e5122),从点eqId253a8e55bcc44041ba960de4f08bbc93eqId982da3835b7946d999cc8604a2ece266)发出,平行于eqId8e15963708e9415da25069fea5906e24轴的光线与eqIdbf31c16f10784d76851cf83e57c2eeed交于点eqIdcc614bd3390c4d028df189b234dcc351,经eqIdbf31c16f10784d76851cf83e57c2eeed反射后过eqIdbf31c16f10784d76851cf83e57c2eeed的焦点eqId517584fed25c413ba8b7bb33ffa2d5c6,交抛物线于点eqId8754ce8cf7f34f04abb9a0c041f57f5c,若反射光线的倾斜角为eqId022e530e1dd6453ab54467745e9df0a8eqId959fef6eba614f15b8b4a5eee4d3bf7d,则eqId9ad43be2f520443a8f3ac415ca76b08d的重心坐标为(   )
A.eqIdc520910f3b974478a8f6933879835698B.eqIdcb7a10f83f56454dbc1694f9d16bc004C.eqId4b64554efe704a61aeb29cc5cfc363afD.eqIdbbbbcc84f1c348eabb610538c5dc023a
更新:2020/08/01难度:0.4题型:单选题组卷:148
13 . 已知实数eqId8e15963708e9415da25069fea5906e24eqId072d7d6b911b42bc89207e72515ebf5f满足约束条件eqIdea110289d64049539321672532996813eqId5507d57d81bb4a82adf13bb16a0f79aa的最小值是________.
更新:2020/08/01难度:0.65题型:填空题组卷:101
14 . 已知eqId9bbd8bca57d1408687190d7c4ccc1192eqId413ddc609b384ce4b33919c17c2e7aaf,若eqIdd26891dc451c49afb25820cd3e22c295,则eqIdcf80a40bfc2f4bd8835b90c6abbf2d9f________.
更新:2020/08/01难度:0.65题型:填空题组卷:219
15 . 在eqId992fe44057cf4492895193f3f5398449中,内角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3对应的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,且eqIde28611a1795f427ba422c1488f89e639eqId9bb047ed674248928e92a9afd71ce590eqId0627be51821d4be7b3e024a354815d64边上的高为eqId2b1922fa59af4c5098f7af850d2fcd98,则eqId2b1922fa59af4c5098f7af850d2fcd98的最大值为________.
更新:2020/08/01难度:0.65题型:填空题组卷:198
16 . 如图所示的平面多边形中,四边形eqId5ce7a06ae7a34393b92b5277978ac014是边长为eqId65021072e3ee4edc934739d219c8c5e2的正方形,外侧的4个三角形均为正三角形.若沿正方形的4条边将三角形折起,使顶点eqIde0b0a69153d74086acac0f2b28878deceqIdc36de5c6d722440e9911d9802c4068f8eqIdc76fa52010534e50926a7629658fd2b3eqId9cf3535e10f14da398ef323261c4b96a重合记为点eqId1b7d8b87b50e4cfdbf89d48980209a52,得到四棱锥eqIddd5f333edd7c4a01b271754239943f8d,则此四棱锥的外接球的表面积为________.figure
更新:2020/08/01难度:0.65题型:填空题组卷:159
17 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,且eqId0607655f6edd41abb20a7d979d92e5ddeqId275f6f3282c444ad8a2fd8e75251a738),eqId1b870f8b46dc466aa4eb8cceaae660c7.
(Ⅰ)判断数列eqId93e38ecd74a24cb59da79181b95bfd3a是否是等比数列,并求出数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(Ⅱ)设eqIde1a58f7520014f09b4e3ee800bbdc54b,求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5.
更新:2020/08/01难度:0.65题型:解答题组卷:307
18 . 为增强学生法治观念,营造“学宪法、知宪法、守宪法”的良好校园氛围,某学校开展了“宪法小卫士”活动,并组织全校学生进行法律知识竞赛.现从全校学生中随机抽取50人,统计他们的竞赛成绩,并得到如表所示的频数分布表.
分数段
eqIdbee2a0fcc6b049a4a75e71df3ac11e8d
eqId4dfb0c9eb10c4ed1968e5d6f5405829e
eqIde301453f2af0443db09fe1ddbc24f924
eqIddcc6f0b6763a4b53a4b5fd29213971a0
eqId0c1aea2fd0d84ede87dc3963ee7824e5
人数
5
15
15
12
eqId3a4208e0040c42ed8b09de2cae9d562e
 
(Ⅰ)求频数分布表中的eqId3a4208e0040c42ed8b09de2cae9d562e的值,并估计这50名学生竞赛成绩的中位数(精确到0.1);
(Ⅱ)将成绩在eqIdf3de6a35c1794b8b8afcdd8ff905ebbc内定义为“合格”,成绩在eqIde96645fc7ca244188dcdd8cf43f7a65b内定义为“不合格”.请将列联表补充完整.
 
合格
不合格
合计
高一新生
12
 
 
非高一新生
 
6
 
合计
 
 
 
 
试问:是否有95%的把握认为“法律知识的掌握合格情况”与“是否是高一新生”有关?说明你的理由;
(Ⅲ)在(Ⅱ)的前提下,在该50人中,按“合格与否”进行分层抽样,随机抽取5人,再从这5人中随机抽取2人,求恰好2人都合格的概率.
附:
eqId92b15c087444448e9d4ae9fa8aa6e440
0.100
0.050
0.010
0.001
eqIdaf3c3fd2a9a145b49b01d055c2cb8379
2.706
3.841
6.635
10.828
 
eqIdaf02214477304ce59f00333d8d0e3228eqId754c3c713caf47498134c63776d19032.
更新:2020/08/01难度:0.65题型:解答题组卷:238
19 . 如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,eqId42ca8293f64c4876be63105ac1346c83是等边三角形,点eqId2efda802d5534f6d92d9f8af7aaec28beqIdbf4db7d066034b139ff80a09ab139d45上的一点,平面eqId3084aa1e379e4f168e9c2332df2ca9df平面eqId5ce7a06ae7a34393b92b5277978ac014eqId588db7aaf8e34ddc82aa8ca1e4b643c7eqId445d8e9d6e264ad496892fc95f52033aeqId790707287e604e1a97e1484c1457c054eqIdc81628caa2554d61b390d44a951d0737eqId513b964714c8461baad486d3ad4ead9c.
figure
(Ⅰ)若点eqId2efda802d5534f6d92d9f8af7aaec28beqIdbf4db7d066034b139ff80a09ab139d45的中点,求证:平面eqIdaff7fee51e0241799895f08811e67462平面eqIdd0ade11250f24441b7489c0ea42473d3
(Ⅱ)若eqId61acdeb45be142d48354e6c5ac177d9d,求eqId84adfcc3471745d6b4e530a54efc2bb8.
更新:2020/08/01难度:0.65题型:解答题组卷:196
20 . 已知函数eqId74b3af8f745f48dca10219241258fee6.
(Ⅰ)若函数eqId6f13759e937144069819aed2ae5a1057eqId7080e98f665346d1899fef3a00732af8上是减函数,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(Ⅱ)当eqId316e2199840e418e87252dba1d7d7ffd时,求证:对任意eqId90fe4a91355d42dab7a5ceed3aabb6aa,函数eqId6f13759e937144069819aed2ae5a1057的图象均在eqId8e15963708e9415da25069fea5906e24轴上方.
更新:2020/08/01难度:0.4题型:解答题组卷:204
21 . 已知点eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,椭圆eqIdbf31c16f10784d76851cf83e57c2eeedeqIdd448b721bc2f41f8bed63e9521739ce3eqIde9c1eda3dc0c4304868ea148d833743f)过点eqIdb2e04979226c463299fd429950a32203,其上顶点为eqId8754ce8cf7f34f04abb9a0c041f57f5c,右顶点和右焦点分别为eqIdcc614bd3390c4d028df189b234dcc351eqId63db14a5b4334f3ea583c8fb12b0d175,且eqIdd4da109999924194b6ab30ae898b4f68.
(Ⅰ)求椭圆eqIdbf31c16f10784d76851cf83e57c2eeed的标准方程;
(Ⅱ)直线eqId417e80f1349244878d01fe90e0891f5f交椭圆eqIdbf31c16f10784d76851cf83e57c2eeedeqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811两点(异于点eqId8754ce8cf7f34f04abb9a0c041f57f5c),eqId6ac5669b058b4e12888736acaab92106,试判定直线eqId417e80f1349244878d01fe90e0891f5f是否过定点?若过定点,求出该定点坐标;若不过定点,请说明理由.
更新:2020/08/01难度:0.4题型:解答题组卷:238
22 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqId5c0380b99aec4d31a0e50cb03bd805aaeqId32454977564e4ee18da36bd51156c509为参数).以坐标原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqId8e15963708e9415da25069fea5906e24轴的正半轴为极轴建立极坐标系,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqId936e003e0bff4221af78e797ce5ca339.
(1)求直线eqId417e80f1349244878d01fe90e0891f5f的普通方程和曲线eqId19a4eb16029e4550a14f2afe4741a3c3的直角坐标方程;
(2)若射线eqId2cd7d3ac3ce849c295ad6c7918b2a262eqId25d77216d02b4457a66de142081ac06d)与直线eqId417e80f1349244878d01fe90e0891f5f和曲线eqId19a4eb16029e4550a14f2afe4741a3c3分别交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,求eqId4819509fefec4542acccfcf3d67cd699的值.
更新:2020/08/01难度:0.65题型:解答题组卷:771
23 . 设函数eqId55519a02663d4f9d854650c11a628e96eqId89a96288f3944e77a0347bc1781b69cd)的最小值为1.
(1)求eqId32454977564e4ee18da36bd51156c509的值;
(2)若eqIdb5417bad924b4c028e0a0dac93584711eqIde9fdb592a9554540b7f52afaea5c135a),求证:eqId8acee3966228459ba5a6d6edeaceda5b.
更新:2020/08/01难度:0.65题型:解答题组卷:118