their nervous systems and ability to produce baby birds, and can lead to kidney(肾) failures and death. So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days. This work is starting to pay off. The annual death rate for adult condors has dropped from 38% in 2000 to 5.4% in 2011. 哈尔滨市第六中学2018届高三第三次模拟考试
理科数学试卷
考试说明:本试卷分第I卷(选择题)和第II卷(非选择题)两部分,
满分150分,考试时间120分钟.
(1)答题前,考生先将自己的姓名、准考证号码填写清楚;
(2)选择题必须使用2B铅笔填涂, 非选择题必须使用0.5毫米黑色字迹的签字笔书写, 字体工整,
字迹清楚;
(3)请在各题目的答题区域内作答,超出答题区域书写的答案无效,在草稿纸、试题卷上答题无效;
(4)保持卡面清洁,不得折叠、不要弄破、弄皱,不准使用涂改液、刮纸刀.
第Ⅰ卷(选择题共60分)
一、选择题:本大题共12小题,每小题5分,共60分.在每小题给出的四个选项中,
只有一个是符合题目要求的.
1.已知R为实数集,集合A?x|y?lg?x?3?,B?{x|x?2},则eR?A??B??( )
A.?xx??3?B.{x|x??3}C.{x|x??3}D.{x|2?x?3}
2.已知复数z满足zi?2?i,则复数z在复平面内对应的点位于( )
A.第
一象限 B. 第二象限
C. 第三象限D.第四象限
3.若平面向量a??1,x?,b??2x?3,?x?,且a?b,则a?b?( )
A.2或10B.2或25C.2或5D.5或10
4.若将函数y?2sin2x的图象向左平移后的图象的对称轴为( )
?个单位长度,则平移12A.x?k??k????k?Z?B.x???k?Z? 2626their nervous systems and ability to produce baby birds, and can lead to kidney(肾) failures and death. So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days. This work is starting to pay off. The annual death rate for adult condors has dropped from 38% in 2000 to 5.4% in 2011. C.x?k??k????k?Z?D.x???k?Z? 2122125.《九章算术》中有这样一道题:“今有垣厚若干尺,两鼠对穿,大鼠日一尺,小鼠也日一尺,大鼠日自倍,小鼠日自半,问何日相逢,各穿几何?”大意是:“有两只老鼠从墙的两边打洞穿墙,大老鼠第一天进一尺,以后每天加倍;小老鼠第一天也进一尺,以后每天减半.”假设墙厚16尺,现根据该题条件设计一个程序框图,执行该程序框图,则输出的
n?( )
A.4
B.6
C.8
D.10
6.如图,网格纸上小正方形的边长为1,粗线画出的是某几何体的三视图,则该几何体的表面积为( )
A.16?162B.32?162
C.48
D.643
7.某天,甲、乙同桌两人随机选择早上7:00—7:30的某一时刻到达学校自习,则甲比乙提前到达超过10分钟的概率为( )
A.2127B.C.D.3399
1?x28.函数f?x??的图象大致为( )
exA.B.C.D.
9.?2?x??2x?1?的展开式中x4的系数为( )
6A.?160B.320C.480D.640
10.如图在矩形ABCD中,AB?23,BC?2,将?ACD沿着AC折起。使得D折起的位置为D1,且D1在平面ABC的射影恰好落在AB上,在四面体D1ABC的D四个面中,其中面面互相垂直的对数为( )
CA.2对B.3对
ABtheir nervous systems and ability to produce baby birds, and can lead to kidney(肾) failures and death. So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days. This work is starting to pay off. The annual death rate for adult condors has dropped from 38% in 2000 to 5.4% in 2011. C.4对D.5对
x2y211.已知F1,F2分别为双曲线C:2?2?1(a?0,b?0)的左焦点和右焦点,且
ab2b2F1F2?点P为双曲线C右支上一点,I为?PF1F2的内心,若
,aS?IP1F?S?I2PF?的值为( ) ??S?1成立,则IFF5?1C.2?1D.2?1 2A.5?1B.12.若存在正实数x,y,z,满足
yzex?z2,且
x?z?2x,则lny?lnx的取值范围是() e?1?A.?,1?B.??ln2,e?1?ln2?C.?2?
1??D.?1?ln2,e?1?ln2? 1?ln2,??2??第Ⅱ卷(非选择题共90分)
二、填空题:本大题共4小题,每小题5分,共20分.将答案填在机读卡上相应的位置.
?y?1?13.已知变量x,y满足约束条件?y?2x?1 ,则z?x?y的最小值为__________.
?x?y?8?14.“五一”期间小王、小刘、小董、小韩到影院看电影,她们到影院之后发现,当天正在放映甲、乙、丙、丁、戊五部影片,于是她们一起看其中的一部影片: 小王:只要不是乙就行;
小刘:乙、丙、丁、戊都行,其它的不行; 小董说:我喜欢丁,但是只要不是丙就行; 小韩说:除了戊之外,其它的都可以.
据此判断,她们可以共同看的影片为______________. 15.在?ABC中,AC?BC?3,AB?1,且CE?xCA,CF?yCB,(其中x,y??0,1?)
3且x?4y?1,若M,N分别为线段EF,AB中点,则线段MN的最小值为.