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天津市实验中学2019届高三热身数学(理)试题

适用年级:高三试卷类型:高考模拟试题总数:20浏览次数:77上传日期:2019/9/6
一、单选题
1 . 设eqIddf8150309f9749c19782ce0c7aa84e0ceqIdedfbcc328f744d288534a8ac14483ebf,若eqIde24d87f2d09d4d62bb0733255388345c,求实数eqId70a27b6ddf6b478285353abb3b1f3741组成的集合的子集个数有
A. 2??????????????????????????? B. 3???????????????????????????? C. 4???????????????????????????? D. 8
难度系数:0.65使用:176次题型:单选题更新:2019/9/6
2 . 设变量eqId7325f59d822c4c318b79153587a4f903满足约束条件eqIde641d66c650d485fbde998bd221e70ef,则目标函数eqId130920aab4664266ad6a4a22f4e654ba的最大值为(??????)
A. eqIdc052ddfbd4524f67a79e0e77c2e5656a????????????????????????? B. eqId59cffbff974b4b199f1ec06793ffaf2a?????????????????????????? C. eqId96a8b193485b4870badf38cd3fb7adfc?????????????????????????? D. eqId27fccaf21f784e52b482c40f67659aa4
难度系数:0.94使用:30次题型:单选题更新:2019/9/6
3 . 为计算,设计了下面的程序框图,则在空白框中应填入
A.
B.
C.
D.
难度系数:0.65使用:9556次题型:单选题更新:2018/6/9
4 . 设ab均为单位向量,则“eqIda17cc3ac7813465c85ab3fc8033d6c11”是“ab”的
A. 充分而不必要条件??????????????????????????????????? B. 必要而不充分条件
C. 充分必要条件?????????????????????????????????????????? D. 既不充分也不必要条件
难度系数:0.85使用:200次题型:单选题更新:2019/8/23
5 . 将函数eqId6f13759e937144069819aed2ae5a1057=sineqIdb359100ae95941639e9d991137e659a4 (其中eqId8ccf61601cf049d8a2100ee27d5b2419)的图象向右平移eqIdb47bf79338b1478a89eac53d16970cdf个长度单位,所得图象经过点(eqIdef9d4fb756b946f79be9bfc3ec4263b4,0),则eqIdf15782a6b93b49aeb4285c6f304dbe29的最小值是(?????)
A. eqIda8012d5322b240128851ebf3cd086e12????????????????????????? B. eqId25d4de7fd4d449c5abaa803a35f61c66????????????????????????? C. eqId777f84abd8354d51b4ca72a57d208ddb???????????????????? D. eqIda430d664ecc14144babe2d8ccf0ebf3a
难度系数:0.85使用:36次题型:单选题更新:2019/9/6
6 . 已知函数eqId9657e4d1fe3647c2a2fc0f9301f2ab8f为定义在实数集上的函数,eqId6f13759e937144069819aed2ae5a1057图像关于直线eqId6b946dcfe52b4ecf9798684495f8bd22对称,eqIdfcaf3bbe14e548cc8d47beb2467db5a0图像关于点eqId2368432bac924b0c86635c4718336141对称,且eqIda77e4c748d2a401aafd1bed34ee773dd,则eqId41f085685875449aad71cdc23d18bcec的值为
A. 5320?????????????????????? B. 5325??????????????????????? C. 5330?????????????????????? D. 5335
难度系数:0.65使用:23次题型:单选题更新:2019/9/6
7 . 平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,eqIdd5b10b2a13f148b78e0d5a1b820538fd是抛物线eqId5f3d89cb2ed74751b5fa239d5d31cc31的焦点,点eqId8e6acd891f5c4ee58e49a1a58ccdf866在抛物线eqId19a4eb16029e4550a14f2afe4741a3c3上,满足eqId41bbe558a6a5454a807e1c2bf6f8f7dbeqIdb6e2dd7fea1d48539755933c4c74e045,则?eqIde12218fb663f44098f2fdfe6e967f3e6
A. eqId717e2b409ffe450d8c3d24421e6743ef????????????????????? B. eqIdcc20b9f68ca04b1899236df7df2a76f3?????????????????????? C. eqId7a9d248899f341f69645a060bdd7835c????????????????????? D. eqId4b87a66237a24aa2861479a79014cc4c
难度系数:0.65使用:0次题型:单选题更新:2019/9/6
8 . 设函数eqIdef0ffdf95a5d40ab935b2dddf12dcf2d,则eqId6f13759e937144069819aed2ae5a1057的最小值为
A. eqId1d0c0e931257403496a4403e719c1e4d???????????????? B. eqId734e2c8072fe454fa3e5ac18e6d5a49f???????????????? C. eqId01937d98a28a444eaa76297abf517167???????????????? D. eqId8eb3618e9cec437ba9baa63e9348ee22
难度系数:0.65使用:0次题型:单选题更新:2019/9/6
二、填空题
9 . 已知eqIde12f338c41b3411d9dc4396ffcc7427e(i是虚数单位),则eqIdfd323633f155464f892572c90703d4d3=______________.
难度系数:0.94使用:0次题型:填空题更新:2019/9/6
10 . eqId4ce2b18d0f1b4feea716eb3343d1e63c的二项展开式中eqIdc12aac8c2448479687a40735b3572a23的系数是_______(用数字作答).
难度系数:0.94使用:0次题型:填空题更新:2019/9/6
11 . 如图,eqIda3295b0faa56453483a54207dda2feb3是双曲线eqIdc4496dafda1c478fb528d8a8a0c9c9f5的左、右焦点,过eqIdadf5adeb3ae644dc89c819829df0a901的直线与双曲线的左、右两支分别交于eqId5481450fba0041e9a9392191f08d4ee0eqIdf09c5a68d70a4f6191fd90bb924ab1c1为等边三角形,则双曲线离心率为_________.figure
难度系数:0.94使用:188次题型:填空题更新:2019/9/6
12 . 在平面直角坐标系中,直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqIddcb8a2f43e494ee0a8c3a021246fb7bb(参数eqId147167b0232945c4af2c2adf04403c0d),以原点为极点,eqIdc12aac8c2448479687a40735b3572a23轴非负半轴为极轴建立极坐标系,圆eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqId275ce029abf94fd5ba3147f907cfe7d2,则圆eqId19a4eb16029e4550a14f2afe4741a3c3上的点到直线eqId417e80f1349244878d01fe90e0891f5f的距离最大值为________?.
难度系数:0.85使用:0次题型:填空题更新:2019/9/6
13 . 已知eqIdbc08743ca8184b12a05a69c917f8f1fdeqId2e8d6278e440441482365cc31e10eb35,则eqId20c8b4b0a7014e80a7538894ce0368dd的最大值为________?.
难度系数:0.4使用:0次题型:填空题更新:2019/9/6
三、解答题
14 . eqId992fe44057cf4492895193f3f5398449中,eqId73ad84ef5fd64aec83000982114c0903,则eqId2490fd8e07144770884be4239490e518的最大值是___________.
难度系数:0.65使用:36次题型:解答题更新:2019/9/6
15 . 在中,内角所对的边分别为.已知.
(Ⅰ)求的值;
(Ⅱ)求的值.
难度系数:0.65使用:1606次题型:解答题更新:2017/12/12
16 . 某市随机抽取部分企业调查年上缴税收情况(单位:万元),将所得数据绘制成频率分布直方图(如图),年上缴税收范围是?eqIda2e62abf9ca54122bf366671a1800595,样本数据分组为eqIddd58e7a5b70d44b49ad6f53e57d70568eqId516c28757c5f43a3b9b97f17657e8003
figure
(Ⅰ)求直方图中eqIdc12aac8c2448479687a40735b3572a23的值;
(Ⅱ)如果年上缴税收不少于eqId8e18403e6c404cde904eb0b42cde0446万元的企业可申请政策优惠,若共抽取企业eqId774b61c005e24ec2bf0f620131eff587个,试估计有多少企业可以申请政策优惠;
(Ⅲ)从企业中任选eqIdddd35c5d043e4ebeac32a99367053c68个,这eqIdddd35c5d043e4ebeac32a99367053c68个企业年上缴税收少于eqId7d78b3d9ec5c4ac687714914740d55df万元的个数记为?eqId86c70780eab347ccb2043d1d7bc9ed96,求eqId86c70780eab347ccb2043d1d7bc9ed96的分布列和数学期望.(以直方图中的频率作为概率)
难度系数:0.65使用:0次题型:解答题更新:2019/9/6
17 . 如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,底面eqId5ce7a06ae7a34393b92b5277978ac014是正方形,侧棱eqIdd293923b221045898dcc5442f88aa67a底面eqId5ce7a06ae7a34393b92b5277978ac014eqId841eaf2cc0334412a1e2c49f1223ffbbeqId93cbffaa5ae045d6ac45d1e979991c3aeqIda4133d812272499891a1f8813d5747f8的中点,作eqId7e0b568ab01e41bcbd4a73c05ccb4f0aeqIde9b50933e347462ea824ccc9bf51fc93于点eqIdd5b10b2a13f148b78e0d5a1b820538fd.
figure
(Ⅰ)证明:eqId6f782d71f5a7422aa78bd8204949ce26//平面eqIde1ee2843c9e34a1dad72e6d315fb3836
(Ⅱ)证明:eqIde9b50933e347462ea824ccc9bf51fc93^平面eqId79251502f3ff48c7960465902571bc05
(Ⅲ)求二面角eqId7c4e9188f3c8400e8a6867dc6b9589c3的大小.
难度系数:0.64使用:22次题型:解答题更新:2019/9/6
18 . 在数列eqId054d5a7de5684002909fe944c86227c2eqId69fa66742e6b480eb0e55f574b8b7749中,eqId1d3c63d5273547d8a51a5c6edcdab803,数列eqId054d5a7de5684002909fe944c86227c2的前n项和eqIddb5481de79c946c0a760143297d5eade满足eqIdfe96186b8ec44a51aeaeedb83aebd4f4eqId0deb898aa52343c29d5dfee4d3949c67eqId88d3a678aa154f5ea70681dbfdeaeecceqIdf3cd588dd7a34486b87710d27feacb6c的等比中项,eqId532dc4d959024b79b546428f5856e5aa.
(Ⅰ)求eqId0509add794484602a2c710f41d9ddddceqId802dd8e915624120aa727fb9b14978b0的值;
(Ⅱ)求数列eqId054d5a7de5684002909fe944c86227c2eqId69fa66742e6b480eb0e55f574b8b7749的通项公式;
(Ⅲ)设eqIda181e123e677419383a07b061daf1c8b,证明eqId55a79fc40bf34f80a7d14fccec75cefb
难度系数:0.4使用:0次题型:解答题更新:2019/9/6
19 . 已知椭圆C: eqId84dd6cce1c22430ca7f9a21127e7514f的离心率为eqIdd19abe37f2d8471e8da802d66c25862c,且过点(1,eqIdd19abe37f2d8471e8da802d66c25862c).
(Ⅰ)求椭圆C的方程;
(Ⅱ)设与圆eqIdd265db9a5da147d2b75c09dfe182990d相切的直线eqId417e80f1349244878d01fe90e0891f5f交椭圆C于A,B两点,求eqId25f18a3e6b1f49ff919fe1bee7f02bd7面积的最大值,及取得最大值时直线eqId417e80f1349244878d01fe90e0891f5f的方程.
难度系数:0.4使用:595次题型:解答题更新:2019/9/6
20 . 已知函数eqId47d2dae371d24ffa913a29beaa5b237b的最小值为0,其中eqId982da3835b7946d999cc8604a2ece266.
(Ⅰ)求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(Ⅱ)若对任意的eqIda51c5ea798974c5799db4f57d0890966,有eqIdb163dbbc7be14b5e8c3f35f687407e63成立,求实数eqId4d2187284c5d4de29906363f7d21f60f的最小值;
(Ⅲ)证明eqId8a324e848bb34e48af8a134f950294ad.
难度系数:0.15使用:661次题型:解答题更新:2017/7/30
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