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天津市新华中学2019届高三高考模拟数学(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:28上传日期:2019/9/7
一、单选题
1 . 已知集合eqId5855e6a444ca4b4e92f8d415ea09c7e1,则eqIdc7e17aac3f664408a20c2c2cbb4f5426等于(?)
A. eqIdbace3fcc52ec4793b400640dc6336325??????????????????????????????????????????????????? B. eqIda19289cd2c254169a41cea20558211ba
C. eqId09ad84a8fc6149a2b276abfb0bcb9e9c??????????????????????????????????????????????????? D. eqId18ff1460ce964e5e8adca0e12d3a4faf
难度系数:0.65使用:0次题型:单选题更新:2019/9/7
2 . 设实数eqIda390bdd182b44ee6beb46555b5cc41a0满足约束条件eqId1272346abcfe40b7b7fb51d916b15712,则eqIda0e1d7eef5954702822aadd1650f0616的最小值是(?)
A.eqId573a028b0bd04712b4243e5d7dd80120B.1
C.2D.7
难度系数:0.85使用:242次题型:单选题更新:2019/9/7
3 . 若某程序框图如图所示,则该程序运行后输出的值是(????)
figure
A.eqIdecb828cf922546bb9760e0ce5c95a9cbB.eqId401586f7a7f248b7904a4cfeaa2ed2f0C.eqId16fc2c4ac7e940cdad49c4a01d735579D.eqId11f75c152f5341f39d020095cecda9b3
难度系数:0.65使用:79次题型:单选题更新:2019/9/7
4 . 设eqId86fd2241491844a6847725642c70d09e,则eqId0ce93bfa1f6a4a23b3258410dd19847a的大小关系是(?)
A. eqIdde23c9bee5f2497a98f967afa9b73a7a???????????????????????????????????????????????? B. eqId45615ef0900647268b98d1d5eeb28a58
C. eqId0d0cc8a6003c4e21bacd608a53c711cf???????????????????????????????????????????????? D. eqId2cf6c501fcaf451c89bbbe8a7b5da7ad
难度系数:0.65使用:0次题型:单选题更新:2019/9/7
5 . 在eqId9668c593319f4c908c13e5d6fbf991f8中,有一个内角为eqId7e70a9456f374c0e9f380c17b146f34a,“eqId8adaa6a8e1ed49578c25c442034288c3”是“eqId2cb9b23641f84b109733efa691c06531”的(?)条件
A.充分不必要B.必要不充分
C.充要D.既不充分也不必要
难度系数:0.85使用:505次题型:单选题更新:2019/9/7
6 . 将偶函数eqIdc1ce7a55206b40f38e7e6adc52fff34c的图像向右平移eqIdb050c41d1513409598c00ecfe0de8603个单位,得到eqId1942541e3e0c43ac97fcf12200fe70a2的图像,则eqId28c4c21271884dfeac29ce0222782376的一个单调递减区间(?)
A. eqIdbf61d6638e3b4488aabb945b4cfea999????????????????????????????????????????????????? B. eqId37f25eb025354459b04caffbf3f43231
C. eqIdcf5e60a5168143009a42f00808b0f681??????????????????????????????????????????????? D. eqId1d53c5001d394358b7c797d4e51df2da
难度系数:0.65使用:0次题型:单选题更新:2019/9/7
7 . 设eqIdab6511517362478e84abcf35e656ffbe分别为双曲线eqId0f14428848fa4e8cbdaccdcb9711090d的左、右焦点。若在双曲线右支上存在点eqIdd7be5abad1e34f6db17a56660de8d54f,满足eqId1023c99a1af248cb9c916810ee722052,且eqIdde963a24921f4ee7a991bf9d4f43a42e到直线eqId41c6793fbe3d400d89f837b065571453的距离等于双曲线的实轴长,则该双曲线的渐近线与抛物线eqIdd050af449075401299cc78c647d310e8的准线围成三角形的面积为(?)
A. eqIddda48cced83d424b89b7d8f8c62b1056??????????????????????????????????????????????????????????? B. eqId5bdf412098cc4156b5e8fd514ebc7818
C. eqIde72c898310bf4fb1a72beeaf8a335d66??????????????????????????????????????????????????????????? D. eqId7f4cbc932b504200bd85e1dbb4d96181
难度系数:0.65使用:0次题型:单选题更新:2019/9/7
8 . 已知函数eqIdc083c6a976eb46918f187409eb004c31,函数eqId8817b48a42bf4838b32bf207a4c18e70,若函数eqIdb1c957faa1a54b488028396de858cdbe恰有4个零点,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(?)
A. eqId0f57d8a8d57848ea8e247addbd988d7f??????????????????????????????????????????????????? B. eqId0e886aa2d4c84d20b1ca69eb49692ae8
C. eqIde327c47000b04c6daee727c47be19120???????????????????????????????????????????????????? D. eqIdd5093061413449f28d2a6656734f73e7
难度系数:0.4使用:0次题型:单选题更新:2019/9/7
二、填空题
9 . 设eqIdb6e15e51d29a47a7aff44f98b1aafaee是虚数单位,若复数eqId1c44292408dc4388aa80074142bc6234,则eqId2cd9e2fe3d6540df9399dbefe49ada54的共轭复数为______________________。
难度系数:0.85使用:0次题型:填空题更新:2019/9/7
10 . 已知eqId70a27b6ddf6b478285353abb3b1f3741为常数,且eqId4273d8c854c14b0285146669d91455a9,则eqIdd75e3aec10d9457ea601f150beee66b5的二项展开式中的常数项为_______________.
难度系数:0.65使用:0次题型:填空题更新:2019/9/7
11 . 已知一个半径为eqIdabbb05316e4b489b95bb8cce32167446的球中有一个各条棱长都相等的内接正三棱柱,则这正三棱柱的体积是__________________
难度系数:0.65使用:66次题型:填空题更新:2019/9/7
12 . 已知在直角坐标系eqId2272a344734c4fb088737b84294f7219中,直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqIdaed17c91000b4c3981f9de1539b7f0beeqId32454977564e4ee18da36bd51156c509为参数),以坐标原点为极点,eqIdc12aac8c2448479687a40735b3572a23轴正半轴为极轴建立极坐标系,曲线eqId19a4eb16029e4550a14f2afe4741a3c3的极坐标方程为eqId782763277cc64235a36d31dedce8fceb,设点eqIdd7be5abad1e34f6db17a56660de8d54f是曲线eqId19a4eb16029e4550a14f2afe4741a3c3上的一个动点,则eqIdd7be5abad1e34f6db17a56660de8d54f到直线eqId417e80f1349244878d01fe90e0891f5f距离的取值范围是___________________.
难度系数:0.65使用:0次题型:填空题更新:2019/9/7
13 . 由数字0,1,2,3,4,5组成没有重复数字且为偶数的四位数,有______________.个.
难度系数:0.65使用:0次题型:填空题更新:2019/9/7
14 . 已知eqId9683354c5dcc4fff95fbc361b3c8b444,若点eqIdd7be5abad1e34f6db17a56660de8d54feqId9668c593319f4c908c13e5d6fbf991f8所在平面内的一点,且eqId3238276a4373409691e3f876b0420765,则eqIddacf467bcdfb4fa481a8b97d49b96a28的最大值等于___________.
难度系数:0.65使用:236次题型:填空题更新:2019/9/7
三、解答题
15 . 在eqId9668c593319f4c908c13e5d6fbf991f8中,角eqId38b55ed6453843a1b310edd4999dff16的对边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,已知eqId9668c593319f4c908c13e5d6fbf991f8的面积为eqIdc73591d396cf4d10b53d86267f389385,周长为eqId414d249d38994f5aa66821e9e03c5a51.且eqIdf2bbfc7acfbb45c18b97c9a14b8cf44d.
(1)求eqId70a27b6ddf6b478285353abb3b1f3741eqId2bb4d1eaca62487b81a3bcc15a7db8a4的值;
(2)求eqId9f804c9d05ca48878f3c70cee7ad327e的值.
难度系数:0.65使用:636次题型:解答题更新:2019/9/7
16 . 甲、乙两人各进行3次投篮,甲每次投中目标的概率为eqIddda48cced83d424b89b7d8f8c62b1056,乙每次投中目标的概率为eqId5f51ce9cc7fe4412baeb871cceb26665,假设两人投篮是否投中相互之间没有影响,每次投篮是否投中相互之间也没有影响。
(1)求甲至少有一次未投中目标的概率;
(2)记甲投中目标的次数为eqId86c70780eab347ccb2043d1d7bc9ed96,求eqId86c70780eab347ccb2043d1d7bc9ed96的概率分布及数学期望;
(3)求甲恰好比乙多投中目标2次的概率.
难度系数:0.65使用:0次题型:解答题更新:2019/9/7
17 . 如图所示的几何体中,eqIdd293923b221045898dcc5442f88aa67a垂直于梯形eqId5ce7a06ae7a34393b92b5277978ac014所在的平面,eqId445a2ef31c17429795055a389d1adc93eqId6f782d71f5a7422aa78bd8204949ce26的中点,eqIda63da9d4add44ff383fbf5152c6c77df,四边形eqId9f70a9a4a613423abb407663e7109ade为矩形,线段eqIda4133d812272499891a1f8813d5747f8eqId66d409c343f04cfda647f9bfc7da6b2a于点eqId517584fed25c413ba8b7bb33ffa2d5c6.
figure
(1)求证:eqIdff853aa7407a49abb15b49c3b408727b平面eqIda3eb5356d699417e8d2a360a77f14a6b
(2)求二面角eqIdee5781c4a93447fa80a84f0714a0e7d8的正弦值;
(3)在线段eqId1a0830891ff846de8422ea80714ecab4上是否存在一点eqIdca9308a4ebd84ed8a28d8a519a8dbb39,使得eqIdc0a45f96262441c3a4385409b44c8da9与平面eqId4a08b378ee254bc5836955213f883b2c所成角的大小为eqIdb050c41d1513409598c00ecfe0de8603?若存在,求出eqIdc7618e5a317d49ec8d38f2c04b4a6b32的长;若不存在,请说明理由.
难度系数:0.65使用:0次题型:解答题更新:2019/9/7
18 . 已知等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,公比eqIdaa50f203f517449698904db8b2730bc2.数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63满足eqId6367e55346234ba78fe50749e360b1c2.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)证明数列eqId1599e609ced54f66a9d9085a38e7932f为等差数列;
(3)设数列eqId74ef5fe5183946caaee41d8974816a20的通项公式为:eqId41e5f16ac0694662ac5da5cfd26210eb,其前eqIdf458db68122849abb588feb2e682d9ac项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,求eqId31ca126be31a4176a00709ca9c852e25.
难度系数:0.65使用:0次题型:解答题更新:2019/9/7
19 . 设椭圆eqId3bd5dad9c3cb48d7b0d5e07689ba694a的左、右顶点分别为eqId346946f1395a41008d3b3b56c9ae4fbdeqId894f8d53415741dea8f7a841c68384d1,且左、右焦点与短轴的一个端点是等边三角形的三个顶点,点eqId583a2655d0134068bbdc8ea5866e77f8在椭圆上,过点eqId346946f1395a41008d3b3b56c9ae4fbd的直线交椭圆eqId19a4eb16029e4550a14f2afe4741a3c3eqIdc12aac8c2448479687a40735b3572a23轴上方的点eqIdd7be5abad1e34f6db17a56660de8d54f,交直线eqIdd59777a92d8f4da290823fc3dc6b5c26于点eqId0cd8063abf2b458f80091bc51b75a904.直线eqId8dd361f6f54247308eabf3c54b43fa82与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的另一交点为eqId92869ac114124367b45f631d030ed6bd,直线eqId827fb63cfe594388b24d810432f7d572与直线eqIdf12c98a2bca444d1bc8a7dbd264d9955交于点eqId7412be7a456647e695421020b620936e.
(1)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
(2)若eqIde5b5b6d1ddb84c6cbb39997a3b01d4ba,试求直线eqIdf12c98a2bca444d1bc8a7dbd264d9955的方程;
(3)如果eqId2e76a97d5fd14e90a571acad0a86cb0c,试求eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围.
难度系数:0.4使用:0次题型:解答题更新:2019/9/7
20 . 已知函数eqId3f4dd006c2f14e39b0cdab8121f54d9d,其中eqIdf035b8f27d4645bb9f6a66f4a3f51918为自然对数的底数.
(1)当eqId316e2199840e418e87252dba1d7d7ffd时,求函数eqId9b37d03e47a347fc8fab9f814ba5fac4的单调区间;
(2)求函数eqId9b37d03e47a347fc8fab9f814ba5fac4在区间eqIdb3c861f6ea1b4ce9aea796a5e1c95435上的值域;
(3)若eqId982da3835b7946d999cc8604a2ece266,过原点分别作曲线eqIdd1ac1abad76945afb45c25c3c137113c的切线eqId74c7e0292b094e54ae596d37798a05edeqId439fb93f7745417b8bb1747d963c6e60,且两切线的斜率互为倒数,求证:eqId4d25f960bf864b009e9d17442363dfe2.
难度系数:0.4使用:0次题型:解答题更新:2019/9/7
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