山西省运城市夏县中学2018届高三高考综合信息试卷(4)
(解析版)山西省运城市夏县中学2018届高三上学期第一次
山西省运城市夏县中学2018届高三上学期第一次月考政治试题一、选择题(每题2分,共50分)1. 近两年,免费的互联网微信用户快速增长,这对电信运营商的短信发送量造成了不小的冲击。
近来有“微信向用户收费”的声音。
但网络调查显示,如果微信收费,有近九成的用户表示将改用其他免费社交软件。
在其他条件不变的情况下,反映上述信息的图示有A. ①③B. ①④C. ②③D. ②④【答案】C【解析】短信与免费的微信是互为替代商品的关系,微信免费,那么电信运营商的短信发送量就会减少,②符合题意,排除①;商品价格与需求成反方向变动,微信价格下跌,短信发送量就会增加,③符合题意;应排除④;故本题答案选C。
【考点定位】价格变动对需求的影响。
【名师点睛】价格变动对生活消费的影响:1.价格变动会引起需求量的变化一般来说,当某种商品的价格上升时,人们会减少对它的购买;当这种商品价格下降时,人们会增加对它的购买。
2.价格变动会引起需求量的变动,但不同商品的需求量对价格变动的反应程度是不同的。
价格变动对生活必需品的需求量的影响比较小,对高档耐用品需求量的影响比较大。
3.消费者对既定商品的需求,不仅受该商品价格变动的影响,还受相关商品价格变动的影响。
一种商品价格上升,替代品的需求上升,互补品需求下降;一种商品价格下降,替代品的需求下降,互补品需求上升。
2. 2016年中国在部分地区试点“一元券硬币化工程”,用一元硬币替代一元纸币;2015年丹麦公布了关于“无现金社会”的议案,计划用电子货币代替纸币;长期的恶性通货膨胀导致委内瑞拉货币面值极高,2008年该国政府发行新的货币,新币与旧币的兑换比例是1:1000。
上述三个国家的方案和措施都①体现了国家拥有发行货币的权力②改变了用货币衡量的商品价格③可以稳定物价,控制通货膨胀④能方便交易行为,降低货币使用成本A. ①③B. ①④C. ②③D. ②④【答案】B【解析】题目中,我国在部分地区试点用一元硬币替代一元纸币,丹麦计划用电子货币代替纸币,委内瑞拉发行新的货币,新币与旧币的兑换比例是1∶1 000等,可见上述三个国家的方案和措施都体现了国家拥有发行货币的权力,能方便交易行为,降低货币使用成本。
夏县中学2018-2019学年上学期高三期中数学模拟题
夏县中学2018-2019学年上学期高三期中数学模拟题班级__________ 座号_____ 姓名__________ 分数__________一、选择题(本大题共12小题,每小题5分,共60分.每小题给出的四个选项中,只有一项是符合题目要求的.)1. 设a ,b为正实数,11a b+≤23()4()a b ab -=,则log a b =( )A.0B.1-C.1 D .1-或0【命题意图】本题考查基本不等式与对数的运算性质等基础知识,意在考查代数变形能与运算求解能力.2. 数列{}n a 中,11a =,对所有的2n ≥,都有2123n a a a a n =,则35a a +等于( )A .259B .2516C .6116D .31153. 已知实数[1,1]x ∈-,[0,2]y ∈,则点(,)P x y 落在区域20210220x y x y x y +-⎧⎪-+⎨⎪-+⎩……… 内的概率为( )A.34B.38C.14D.18【命题意图】本题考查线性规划、几何概型等基础知识,意在考查数形结合思想及基本运算能力. 4. 已知数列{}n a 的各项均为正数,12a =,114n n n na a a a ++-=+,若数列11n n a a +⎧⎫⎨⎬+⎩⎭的前n 项和为5,则n =( )A .35B . 36C .120D .1215. 已知P (x ,y )为区域内的任意一点,当该区域的面积为4时,z=2x ﹣y 的最大值是( )A .6B .0C .2D .26. 已知函数f(x)是定义在R 上的奇函数,当x ≥0时,.若,f(x-1)≤f(x),则实数a 的取值范围为A[] B[]C[]D[]7. 函数sin()y A x ωϕ=+在一个周期内的图象如图所示,此函数的解析式为( ) A .2sin(2)3y x π=+B .22sin(2)3y x π=+C .2sin()23x y π=-D .2sin(2)3y x π=-8. 已知命题:()(0x p f x a a =>且1)a ≠是单调增函数;命题5:(,)44q x ππ∀∈,sin cos x x >.则下列命题为真命题的是( )A .p q ∧B .p q ∨⌝ C. p q ⌝∧⌝ D .p q ⌝∧ 9. 某几何体的三视图如图所示,则该几何体的体积为( ) A .16163π-B .32163π-C .1683π-D .3283π-【命题意图】本题考查三视图、圆柱与棱锥的体积计算,意在考查识图能力、转化能力、空间想象能力. 10.已知集合23111{1,(),,}122i A i i i i -=-+-+(其中为虚数单位),2{1}B x x =<,则A B =( )A .{1}-B .{1}C .{-D .11.已知函数()e sin xf x x =,其中x ∈R ,e 2.71828=为自然对数的底数.当[0,]2x π∈时,函数()y f x =的图象不在直线y kx =的下方,则实数k 的取值范围( )A .(,1)-∞B .(,1]-∞C .2(,e )π-∞ D .2(,e ]π-∞【命题意图】本题考查函数图象与性质、利用导数研究函数的单调性、零点存在性定理,意在考查逻辑思维能力、等价转化能力、运算求解能力,以及构造思想、分类讨论思想的应用.12.设{}n a 是递增等差数列,前三项的和为12,前三项的积为48,则它的首项是( )A .1B .2C .4D .6二、填空题(本大题共4小题,每小题5分,共20分.把答案填写在横线上)13.已知集合{}5,4,3,2,1=A ,{}6,4,2=B ,则)(B A C A =_____________. 14.已知,x y 满足41y xx y x ≥⎧⎪+≤⎨⎪≥⎩,则22223y xy x x -+的取值范围为____________. 15.若x 、y 满足约束条件⎩⎪⎨⎪⎧x -2y +1≤02x -y +2≥0x +y -2≤0,z =3x +y +m 的最小值为1,则m =________.16.已知函数21,0()1,0x x f x x x ⎧-≤=⎨->⎩,()21xg x =-,则((2))f g = , [()]f g x 的值域为 .【命题意图】本题考查分段函数的函数值与值域等基础知识,意在考查分类讨论的数学思想与运算求解能力.三、解答题(本大共6小题,共70分。
山西省运城市夏县中学2018届高三上学期第一次月考文数试题Word版含答案
高三数学(文) 月考试卷一、选择题:本大题共12个小题,每小题5分,共60分.在每小题给出的四个选项中,只有一项是符合题目要求的.1.设集合{}1,2,3,4U =,{}1,2,3M =,{}2,3,4N =,()U C M N ⋂=( )A .{}12,B .{}23,C .{}24,D .{}14,2.设集合{}|12A x x =<≤,{}|B x x a =<,若A B ⊆,则a 的取值范围是( )A .{}|1a a ≥B .{}|1a a ≤C .{}|2a a ≥D .{}|2a a >3.下列函数中,既是偶函数,又是在区间()0,+∞上单调递减的函数是( )A .3y x =B .1ln ||y x = C .||2x y = D .cos y x = 4.若函数()y f x =的定义域为[]0,2,则函数()()21f x g x x =-的定义域是( ) A .[0,1) B .[0,1] C .[0,1)(1,4]⋃ D .(0,1)5.函数ln 62y x x =-+的零点一定位于的区间是( )A .()0,1B .()1,2C .()2,3D .()3,46.设5log 4a =,25(log 3)b =,4log 5c =,则( )A .a c b <<B .b c a <<C .a b c <<D .b a c <<7.已知幂函数()a f x k x =⋅的图象过点1(2,则k a +=( ) A .12 B .1 C .32D .2 8.下列四个命题:①命题“若2320x x -+=,则1x =”的逆否命题为:“若1x ≠,则2320x x -+≠”; ②“1x =”是“2320x x -+=”的充分不必要条件;③若原命题为真命题,则原命题的否命题一定为假命题;④对于命题:p x R ∃∈,使得210x x ++<.则:p x R ⌝∀∈,均有210x x ++≥;其中正确命题的个数是( )A.4个B.3个C.2个D.1个9.已知函数()()()23121x x f x x x x +<⎧⎪=⎨-≥⎪⎩,若()3f m =,则m 的值为( ) A.O 或3 B.-1或3 C.O 或-1 D.O 或-1或31O.函数()y f x =在定义域3(,3)2-内可导,其图象如图所示,记()y f x =的导函数为()y f x '=,则不等式()0f x '≤的解集为( )A. 1[,1][2,3)3-⋃B.148[1,][,]233-⋃ C. 31[,][1,2]22-⋃ D.3148(,1][,][,3)2233--⋃⋃ 11.已知定义域为R 的函数()f x 在区间()4+∞,上为减函数,且函数()4y f x =+为偶数,则( )A.()()23f f >B.()()25f f >C.()()35f f >D.()()36f f >12.定义新运算⊕: 当a b ≥时,a b a ⊕=; 当a b <时,2a b b ⊕=,则函数()(1)(2)f x x x x =⊕-⊕,[2,2]x ∈-的最大值等于( )A.-1B.1C.6D.12二、填空题(每题5分,满分20分,将答案填在答题纸上)13.函数sin x y x=的导数为 . 14.设()f x 是周期为2的奇函数,当01x ≤≤时,()()21f x x x =-,则5()2f -= . 15.若()()0f x ax b a =+>,且(())41f f x x =+,则()3f = .16.函数()()22log 4f x x =-的单调递减区间为 . 三、解答题 (本大题共6小题,共70分.解答应写出文字说明、证明过程或演算步骤.)17.已知2{|9}A x x =≥,7{|0}1x B x x -=≤+,{|2|4}C x x =-<. (1)求A C ⋃;(2)若U R =,求()U A C B C ⋂⋂.18.(1) 已知35a b A ==,且112a b +=,求A 值; (2)求函数2321()3x x y -+=值域.19.已知2:10p x mx ++=有两个不等的负根,()2:44210q x m x +-+=无实根,若“p或q ”为真,“p 且q ”为假,求m 的取值范围.20.已知函数()2131x f x =-+. (1)求函数()f x 的定义域,判断并证明()f x 的奇偶性;(2)判断函数()f x 的单调性;(3)解不等式()()31230f m f m ++-<.21.某创业团队拟生产A B 、两种产品,根据市场预测,A 产品的利润与投资额成正比(如图1),B 产品的利润与投资额的算术平方根成正比(如图2).(注: 利润与投资额的单位均为万元)(1)分別将A B 、两种产品的利润()f x 、()g x 表示为投资额x 的函数;(2)该团队已筹集到10 万元资金,并打算全部投入A B 、两种产品的生产,问:当B 产品的投资额为多少万元时,生产A B 、两种产品能获得最大利润,最大利润为多少?22.己知函数()32f x x bx cx d =+++的图象过点()0,2P ,且在点(1,(1)M f --处的切线方程为 670x y -+= .(1)求函数()y f x =的解析式;(2)求函数()y f x =的单调区间.试卷答案一、选择题1-5:DDBAC 6-10:DCBAA 11、12:DC二、填空题 13. 2cos sin x x x y x -'= 14. 12- 15. 19316. ()0,2 三、解答题17.{|3,3}A x x x =≥≤-或.{|17}B x x =-<≤.又由|2|4x -<,得26x -<<,∴{|26}C x x =-<<.(1){|3,2}A C x x x ⋃=≤->-或;(2)∵,{|16}U R B C x x =⋂=-<<,∴(){|16}U C B C x x x ⋂=≤-≥或,∴(){|63}U A C B C x x x ⋂⋂=≥≤-或.18.因为350a b A ==>,所以35log ,log a A b A ==, 所以11log 3log 5log 152A A A a b +=+==.所以215A =,所以A=A =(2)定义域为R .令223132()24t x x x =-+=--1([,))4t ∈-+∞.∴值域为.19.解析:当p 为真命题时,2121240010m x x m x x ⎧=->⎪+=-<⎨⎪⋅=>⎩ ,∴2m >.当q 为真命题时,()2242160m =--< ,∴13m <<.若“p 或q ”为真,“p 且q ”为假,则p 、q 一真一假,即,p 真q 假或p 假q 真,①若p 真q 假,∴213m m m >⎧⎨≤≥⎩或,∴3m ≥.②若p 假q 真,∴213m m ≤⎧⎨<<⎩,∴12m <≤.综上m 的取值范围是(1,2][3,)⋃+∞.20.(1) ∵30x >,∴310x+≠ ,∴()f x 的定义域为R . ∵()f x 的定义域为R ,又()2131x f x =-=+312313131x x x x +--=++, ∴()()13311331331133xx x x x x xxf x f x ------====-+++, ∴()f x 是定义在R 上的奇函数.(2) 任取12,x x R ∈,且12x x <,则121222()()1(1)3131x x f x f x -=---++ 21223131x x =-=++12122(31)2(31)(31)(31)x x x x +-+++12122(33)(31)(31)x x x x -=++, ∵12x x <,∴1233x x<,∴12330x x -<,又1310x +>,2310x +>,∴12()()0f x f x -<,∴12()()f x f x <,∴函数()f x 在其定义域上是增函数.(3) 由()()31230f m f m ++-<得()()3123f m f m +<--.∵函数()f x 为奇函数,∴()()2332f m f m --=-,∴()()3132f m f m +<-.由(2)题已知函数()f x 在R 上是增函数.∴()()3132f m f m +<-3132m m ⇔+<-,∴25m <. ∴不等式()()31230f m f m ++-<的解集为2{|}5m m < 21.解: (1) ()()104f x x x =≥ ())0g x x =≥ (2) 设B 产品的投资额为x 万元,则A 产品的投资额为()10x -万元, 创业团队获得的利润为y 万元,则()()10y g x f x =+-()1104x =-()010x ≤≤t =,(21550442y t t t =-++≤≤,即(21565()04216y t t =--+≤≤, 当52t =,即 6.25x =时,y 取得最大值4.0625 答:当B 产品的投资额为6.25万元时,创业团队获得的最大利润为4.0625 万元22.解:(1)由()f x 的图象经过()0,2P 知2d =,∴()322f x x bx cx =+++, ()2 32f x x bx c '=++.由在点()()11M f --,处的切线方程是670x y -+=,知()6 17 0f ---+=, 即()11f -=, ()16f '-=.∴326121b c b c -+=⎧⎨-+-+=⎩,即023b c b c -=⎧⎨-=-⎩,解得3b c ==-. 故所求的解析式是()32 332f x x x x =--+.(2) ()2 363x x x f '=--,令236 30x x --=, 即2210x x --=.解得与11x =21x =.当1x <1x >+()0f x '>.当11x <<()0f x '<.故3233)2()f x x x x =--+ 在(,1-∞-和()1++∞内是增函数,在(1内是减函数.。
高三政治-山西省运城市2018届高三3月调研考试文综(政
运城市2018—2018学年第二学期高三调研测试文科综合试题(政治部分)本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,满分300分,考试时间150分钟。
请在答卷页上作答。
第Ⅰ卷 (选择题共140分)一、选择题(本大题共35小题,每小题4分,共140分。
在每小题的四个选项中,只有一项是最符合题目要求的)2018年入冬以来,我国十多个省(区市)发生了严重旱情,北方冬小麦主产区受灾尤其严重。
回答24—25题。
24.北方特大干旱提高了人们对小麦市场价格后市走高的预期。
形成这一预期的经济学依据有()①价值决定价格②供求影响价格③价值规律④供求与价格相互影响A.① B.①② C.①②③ D.①②③④25.党中央、国务院高度重视抗旱工作,作出了全面部署,中央财政紧急拨付特大抗旱补助经费4亿元,拿出100亿元用于农业机械补贴。
国务院高度重视抗旱工作()①是积极履行经济职能的表现②有利于巩固农业的基础地位,维护我国的粮食安全③是贯彻落实科学发展观的客观要求④体现我国的国家性质,有利于维护人民的根本利益A.①② B.③④ C.①②③④ D.②③④26.中国人民银行决定,从2018年10月9日起,下调一年期人民币存贷款基准利率各0.27个百分点;从10月15日起,下调人民币存款准备金率0.5个百分点,“双率齐降”对企业而言,意味着()①可以减少企业的投资成本②可以保持投资稳定增长③会增加通货膨胀的压力④在一定程度上压缩了银行利润空间A.①②③ B.②③④ C.①②④ D.①③④27.近年来我国食品安全事故频发。
2018年10月31日温家宝总理表示,政府有信心运用多种手段加强市场监管,在1到两年的时间里,解决中国的食品安全问题,中国的产品在质量安全上一定能够大大提高。
这一目标的提出()A.既尊重了规律的客观性,又发挥了人的主观能动性B.既承认了矛盾的普遍性,又重视了矛盾的客观性C.既反映了联系的条件性,又体现了联系的多样性D.既看到了现象的主观性,又看到了本质的客观性28.股市有风险,投资须谨慎。
山西省运城市夏县中学2018届高三12月月考数学文试题
高三数学月考试卷一、单选题(共12题;共60分)1、如图,一个平面图形的斜二测画法的直观图是一个边长为a 的正方形,则原平面图形的面积为( )A 、a 2B 、a 2C 、 2a 2 D 、2a 2 2、要制作一个容积为4 m 3,高为1 m 的无盖长方体容器.已知该容器的底面造价是每平方米20元,侧面造价是每平方米10元,则该容器的最低总造价是( ).A .80元B .120元C .160元D .240元3、设m ,n 是两条不同的直线,α,β是两个不同的平面( )A 、若m ⊥n ,n ∥α,则m ⊥αB 、若m ∥β,β⊥α,则m ⊥αC 、若m ⊥β,n ⊥β,n ⊥α,则m ⊥αD 、若m ⊥n ,n ⊥β,β⊥α,则m ⊥α4、已知正四面体ABCD 中,E 是AB 的中点,则异面直线CE 与BD 所成角的余弦值为( )A.16B.36C.13D.335、《算数书》竹简于上世纪八十年代在湖北省江陵县张家山出土,这是我国现存最早的有系统的数学典籍,其中记载有求“囷盖”的术“置如其周,令相乘也.又以高乘之,三十六成一.”该术相当于给出了由圆锥的底面周长L 与高h ,计算其体积V 的近似公式V ≈136L 2h .它实际上是将圆锥体积公式中的圆周率π近似取为3.那么,近似公式V ≈275L 2h 相当于将圆锥体积公式中的π近似取为( ) A.227 B.258 C.15750 D.3551136、已知,x y 满足约束条件10,230,x y x y --≤⎧⎨--≥⎩当目标函数z ax by =+(0,0)a b >>在该约束条件下取到最小值22a b +的最小值为( )(A) 5 (B) 4(D) 27、一条光线从点(﹣2,﹣3)射出,经y 轴反射后与圆(x+3)2+(y ﹣2)2=1相切,则反射光线所在直线的斜率为( )A 、﹣或﹣B 、﹣或﹣C 、﹣或﹣D 、﹣或﹣8.正四棱锥的顶点都在同一球面上.若该棱锥的高为4,底面边长为2,则该球的表面积为( )A.81π4 B .16π C .9π D.27π49、对于任意实数x ,不等式(a ﹣2)x 2﹣2(a ﹣2)x ﹣4<0恒成立,则实数a 取值范围( )A 、(﹣∞,2)B 、(﹣∞,2]C 、(﹣2,2)D 、(﹣2,2]10、已知点(x 0 , y 0)在x 2+y 2=r 2(r >0)外,则直线x 0x+y 0y=r 2与圆x 2+y 2=r 2的位置关系为( )A 、相交B 、相切C 、相离D 、以上三种情况均有可能11、若圆C :(x ﹣5)2+(y+1)2=m (m >0)上有且只有一点到直线4x+3y ﹣2=0的距离为1,则实数m 的值为( )A 、4B 、16C 、4或16D 、2或412、曲线y=1+与直线y=k (x ﹣2)+4有两个交点,则实数k 的取值范围是( )A 、B 、C 、D 、 二、填空题(共4题;共20分)13、已知直线L 经过点P (﹣4,﹣3),且被圆(x+1)2+(y+2)2=25截得的弦长为8,则直线L 的方程是________.14、点M 是直线3x+4y-2=0上的动点,点N 是圆上(x+1)2+(y+1)2=1上的动点,则|MN|的最小值是_________15、点P (3,2)和点Q (-1,4)到直线mx+y+3=0的距离相等,则m=__________16、已知点P ,A ,B ,C ,D 是球O 表面上的点,PA ⊥平面ABCD ,四边形ABCD 是边长为方形。
2018届山西省高三第三次四校联考文科综合试题及答案 精品
山西省2018届高三第三次四校联考文科综合试题命题:临汾一中忻州一中康杰中学长治二中考试时间150分钟满分300分第I卷(选择题共140分)本卷共35道小题,每小题4分,共140分。
在每小题给出的四个选项中,只有一项是最符合题目要求的。
读“塔里木盆地区域图”,回答1~3题。
1.楼兰古城在两千多年前曾是塞外水乡、林草繁茂的绿色王国和丝路重镇,但现在已经消失。
楼兰古城消失的主要人为原因是A.位于丝绸之路,战争频繁B.燃烧矿物能源,全球变暖C.灌溉用水过多,植被破坏D.油气资源的开发2.图中N为塔里木盆地的一内陆湖,M为湖边的一小绿洲,N湖的主要补给水源与M绿洲盐碱化最严重的季节分别是A.地下水夏季B.冰雪融水夏季C.冰雪融水春季D.地下水秋季3.塔里木盆地的北部有炽热的阳光和洁净的空气,是世界上最适宜种植番茄的区域之一。
下列关于该地区番茄与东北地区的番茄相比,正确的是A.用水量大,单产低B.主要分布在河谷地区C.土壤贫瘠是制约因素D.含糖量大,口感好读“我国某区域图”,回答4~5题。
4.图中最大山脉的大体走向为A.东西走向 B.东北—西南走向C.南北走向 D.西北—东南走向5.此时,在该天气系统影响下A.甲地处背风坡,降水概率较小 B.乙地处迎风坡,降水概率较大C.丙地吹偏西风,气温较高 D.丁地吹偏西风,晴朗少云读“2000~2008年我国东部某市人口增长率变动图”,回答6~7题。
6.该时段内,该市人口总量最大的年份是A.2003年 B.2005年C.2007年D.2008年7.2004年后人口机械增长率开始明显下降的原因是该市A.人口自然增长率提高 B.产业转移和升级C.出现逆城市化 D.城市居住用地紧张城市地域功能区地租指数是指城市某功能区单位面积土地租金与该区人口日流通量的比值。
读“世界某城市地域功能区地租指数与布局方位雷达图”,回答8~9题。
8.该城市商业区地租指数较低的主要原因是A.城市中心环境质量较差B.城市中心金融机构较多C.城市中心流通人口较多D.城市中心商品流通量较大9.若图中有高级住宅区分布,则它最可能分布在该城市的A.西北方向 B.西南方向C.东北方向 D.东南方向读“某时刻a、b、c、d四条纬线上太阳高度随经度的变化图”,完成10~11题。
山西省2018年高考英语试题及答案汇总(word版)(最新)
绝密★启用前山西省2018年普通高等学校招生全国统一考试英语注意事项:1.答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其它答案标号。
回答非选择题时,将答案写在答题卡上。
写在本试卷上无效。
3.考试结束后,将本试卷和答题卡一并交回。
第一部分听力(共两节,满分30分)做题时,先将答案标在试卷上。
录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题;每小题1.5分,满分7.5分)听下面5段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
例:How much is the shirt?A. £ 19. 15.B. £ 9. 18.C. £ 9. 15.答案是 C。
1.What will James do tomorrow ?A.Watch a TV program.B.Give a talk.C.Write a report.2.What can we say about the woman?A.She's generour.B.She's curious.C.She's helpful.3.When does the train leave?A.At 6:30.B.At8:30.C.At 10:30.4.How does the woman go to work?A.By car.B.On foot.C.By bike5.What is the probable relationship between the speakers?A.Classmates.B.Teacher and student.C.Doctor and patient.第二节(共15小题;每小题1.5分,满分22.5分)听下面5段对话或独白。
夏县高中2018-2019学年高三上学期11月月考数学试卷含答案
夏县高中2018-2019学年高三上学期11月月考数学试卷含答案 班级__________ 姓名__________ 分数__________一、选择题1. 已知两条直线ax+y ﹣2=0和3x+(a+2)y+1=0互相平行,则实数a 等于( ) A .1或﹣3 B .﹣1或3 C .1或3D .﹣1或﹣32. 已知圆M 过定点)1,0(且圆心M 在抛物线y x 22=上运动,若x 轴截圆M 所得的弦为||PQ ,则弦长||PQ 等于( )A .2B .3C .4D .与点位置有关的值【命题意图】本题考查了抛物线的标准方程、圆的几何性质,对数形结合能力与逻辑推理运算能力要求较高,难度较大.3. 阅读如下所示的程序框图,若运行相应的程序,则输出的S 的值是( )A .39B .21C .81D .1024. (文科)要得到()2log 2g x x =的图象,只需将函数()2log f x x =的图象( )A .向左平移1个单位B .向右平移1个单位C .向上平移1个单位D .向下平移1个单位 5. 过抛物线y 2=4x 的焦点F 的直线交抛物线于A ,B 两点,点O 是原点,若|AF|=3,则△AOF 的面积为( )A .B .C .D .26. 由两个1,两个2,两个3组成的6位数的个数为( ) A .45B .90C .120D .3607. 已知f (x )是定义在R 上的奇函数,且f (x ﹣2)=f (x+2),当0<x <2时,f (x )=1﹣log 2(x+1),则当0<x <4时,不等式(x ﹣2)f (x )>0的解集是( )A .(0,1)∪(2,3)B .(0,1)∪(3,4)C .(1,2)∪(3,4)D .(1,2)∪(2,3)8. 已知函数y=f (x )的周期为2,当x ∈[﹣1,1]时 f (x )=x 2,那么函数y=f (x )的图象与函数y=|lgx|的图象的交点共有( )A .10个B .9个C .8个D .1个9. 已知函数f (x )=ax 3﹣3x 2+1,若f (x )存在唯一的零点x 0,且x 0>0,则实数a 的取值范围是( ) A .(1,+∞) B .(2,+∞) C .(﹣∞,﹣1) D .(﹣∞,﹣2)10.从单词“equation ”选取5个不同的字母排成一排,含有“qu ”(其中“qu ”相连且顺序不变)的不同排列共有( ) A .120个 B .480个 C .720个 D .840个11.62)21(x x -的展开式中,常数项是( ) A .45- B .45 C .1615- D .161512.下列命题正确的是( )A .已知实数,a b ,则“a b >”是“22a b >”的必要不充分条件B .“存在0x R ∈,使得2010x -<”的否定是“对任意x R ∈,均有210x ->” C .函数131()()2xf x x =-的零点在区间11(,)32内D .设,m n 是两条直线,,αβ是空间中两个平面,若,m n αβ⊂⊂,m n ⊥则αβ⊥二、填空题13.设p :∃x ∈使函数有意义,若¬p 为假命题,则t 的取值范围为 .14.曲线y=x 2和直线x=0,x=1,y= 所围成的图形的面积为 . 15.数据﹣2,﹣1,0,1,2的方差是 .16.在棱长为1的正方体ABCD ﹣A 1B 1C 1D 1中,M 是A 1D 1的中点,点P 在侧面BCC 1B 1上运动.现有下列命题:①若点P 总保持PA ⊥BD 1,则动点P 的轨迹所在曲线是直线;②若点P 到点A 的距离为,则动点P 的轨迹所在曲线是圆;③若P 满足∠MAP=∠MAC 1,则动点P 的轨迹所在曲线是椭圆;④若P 到直线BC 与直线C 1D 1的距离比为1:2,则动点P 的轨迹所在曲线是双曲线; ⑤若P 到直线AD 与直线CC 1的距离相等,则动点P 的轨迹所在曲线是抛物丝. 其中真命题是 (写出所有真命题的序号)17.为了近似估计π的值,用计算机分别产生90个在[﹣1,1]的均匀随机数x 1,x 2,…,x 90和y 1,y 2,…,y 90,在90组数对(x i ,y i )(1≤i ≤90,i ∈N *)中,经统计有25组数对满足,则以此估计的π值为 .18.直线20x y t +-=与抛物线216y x =交于A ,B 两点,且与x 轴负半轴相交,若O 为坐标原点,则OAB ∆面积的最大值为 .【命题意图】本题考查抛物线的几何性质,直线与抛物线的位置关系等基础知识,意在考查分析问题以及解决问题的能力.三、解答题19.设F 是抛物线G :x 2=4y 的焦点.(1)过点P (0,﹣4)作抛物线G 的切线,求切线方程;(2)设A ,B 为抛物线上异于原点的两点,且满足FA ⊥FB ,延长AF ,BF 分别交抛物线G 于点C ,D ,求四边形ABCD 面积的最小值.20.如图,椭圆C:+=1(a>b>0)的离心率e=,且椭圆C的短轴长为2.(Ⅰ)求椭圆C的方程;(Ⅱ)设P,M,N椭圆C上的三个动点.(i)若直线MN过点D(0,﹣),且P点是椭圆C的上顶点,求△PMN面积的最大值;(ii)试探究:是否存在△PMN是以O为中心的等边三角形,若存在,请给出证明;若不存在,请说明理由.21.(本小题满分12分)某校高二奥赛班N名学生的物理测评成绩(满分120分)分布直方图如下,已知分数在100-110的学生数有21人.(1)求总人数N和分数在110-115分的人数;)中任选3人,求其中恰好含有一名女生的概率;(2)现准备从分数在110-115的名学生(女生占13(3)为了分析某个学生的学习状态,对其下一阶段的学生提供指导性建议,对他前7次考试的数学成绩(满分150分),物理成绩y进行分析,下面是该生7次考试的成绩.物理94 91 108 96 104 101106已知该生的物理成绩y 与数学成绩是线性相关的,若该生的数学成绩达到130分,请你估计他的物理 成绩大约是多少?附:对于一组数据11(,)u v ,22(,)u v ……(,)n n u v ,其回归线v u αβ=+的斜率和截距的最小二乘估计分 别为:^121()()()niii nii u u v v u u β==--=-∑∑,^^a v u β=-.22.在数列{a n }中,a 1=1,a n+1=1﹣,b n =,其中n ∈N *.(1)求证:数列{b n }为等差数列; (2)设c n =b n+1•(),数列{c n }的前n 项和为T n ,求T n ; (3)证明:1+++…+≤2﹣1(n ∈N *)23.(本小题满分12分)椭圆C :x 2a 2+y 2b2=1(a >b >0)的右焦点为F ,P 是椭圆上一点,PF ⊥x 轴,A ,B是C 的长轴上的两个顶点,已知|PF |=1,k P A ·k PB =-12.(1)求椭圆C 的方程;(2)过椭圆C 的中心O 的直线l 交椭圆于M ,N 两点,求三角形PMN 面积的最大值,并求此时l 的方程.24.(本小题满分12分)已知函数2()(21)ln f x x a x a x =-++(a R ∈).(I )若12a >,求)(x f y =的单调区间; (II )函数()(1)g x a x =-,若0[1,]x e ∃∈使得00()()f x g x ≥成立,求实数a 的取值范围.夏县高中2018-2019学年高三上学期11月月考数学试卷含答案(参考答案)一、选择题1. 【答案】A【解析】解:两条直线ax+y ﹣2=0和3x+(a+2)y+1=0互相平行,所以=≠,解得 a=﹣3,或a=1. 故选:A .2. 【答案】A【解析】过M 作MN 垂直于x 轴于N ,设),(00y x M ,则)0,(0x N ,在MNQ Rt ∆中,0||y MN =,MQ 为圆的半径,NQ 为PQ 的一半,因此2222222200000||4||4(||||)4[(1)]4(21)PQ NQ MQ MN x y y x y ==-=+--=-+又点M 在抛物线上,∴0202y x =,∴2200||4(21)4PQ x y =-+=,∴2||=PQ .3. 【答案】] 【解析】试题分析:第一次循环:2,3==n S ;第二次循环:3,21==n S ;第三次循环:4,102==n S .结束循环,输出102=S .故选D. 1 考点:算法初步. 4. 【答案】C 【解析】试题分析:()2222log 2log 2log 1log g x x x x ==+=+,故向上平移个单位. 考点:图象平移.5. 【答案】B【解析】解:抛物线y2=4x的准线l:x=﹣1.∵|AF|=3,∴点A到准线l:x=﹣1的距离为3∴1+x A=3∴x A=2,∴y A=±2,∴△AOF的面积为=.故选:B.【点评】本题考查抛物线的定义,考查三角形的面积的计算,确定A的坐标是解题的关键.6.【答案】B【解析】解:问题等价于从6个位置中各选出2个位置填上相同的1,2,3,所以由分步计数原理有:C62C42C22=90个不同的六位数,故选:B.【点评】本题考查了分步计数原理,关键是转化,属于中档题.7.【答案】D【解析】解:∵f(x)是定义在R上的奇函数,且f(x﹣2)=f(x+2),∴f(0)=0,且f(2+x)=﹣f(2﹣x),∴f(x)的图象关于点(2,0)中心对称,又0<x<2时,f(x)=1﹣log2(x+1),故可作出fx(x)在0<x<4时的图象,由图象可知当x∈(1,2)时,x﹣2<0,f(x)<0,∴(x﹣2)f(x)>0;当x∈(2,3)时,x﹣2>0,f(x)>0,∴(x﹣2)f(x)>0;∴不等式(x﹣2)f(x)>0的解集是(1,2)∪(2,3)故选:D【点评】本题考查不等式的解法,涉及函数的性质和图象,属中档题.8.【答案】A【解析】解:作出两个函数的图象如上∵函数y=f(x)的周期为2,在[﹣1,0]上为减函数,在[0,1]上为增函数∴函数y=f(x)在区间[0,10]上有5次周期性变化,在[0,1]、[2,3]、[4,5]、[6,7]、[8,9]上为增函数,在[1,2]、[3,4]、[5,6]、[7,8]、[9,10]上为减函数,且函数在每个单调区间的取值都为[0,1],再看函数y=|lgx|,在区间(0,1]上为减函数,在区间[1,+∞)上为增函数,且当x=1时y=0;x=10时y=1,再结合两个函数的草图,可得两图象的交点一共有10个,故选:A.【点评】本题着重考查了基本初等函数的图象作法,以及函数图象的周期性,属于基本题.9.【答案】D【解析】解:∵f(x)=ax3﹣3x2+1,∴f′(x)=3ax2﹣6x=3x(ax﹣2),f(0)=1;①当a=0时,f(x)=﹣3x2+1有两个零点,不成立;②当a >0时,f (x )=ax 3﹣3x 2+1在(﹣∞,0)上有零点,故不成立; ③当a <0时,f (x )=ax 3﹣3x 2+1在(0,+∞)上有且只有一个零点;故f (x )=ax 3﹣3x 2+1在(﹣∞,0)上没有零点;而当x=时,f (x )=ax 3﹣3x 2+1在(﹣∞,0)上取得最小值;故f ()=﹣3•+1>0;故a <﹣2; 综上所述,实数a 的取值范围是(﹣∞,﹣2);故选:D .10.【答案】B【解析】解:要选取5个字母时首先从其它6个字母中选3个有C 63种结果,再与“qu “组成的一个元素进行全排列共有C 63A 44=480,故选B .11.【答案】D【解析】2612316611()()()22rr r r r rr T C x C xx --+=-=-, 令1230r -=,解得4r =.∴常数项为446115()216C -=. 12.【答案】C 【解析】考点:1.不等式性质;2.命题的否定;3.异面垂直;4.零点;5.充要条件.【方法点睛】本题主要考查不等式性质,命题的否定,异面垂直,零点,充要条件.充要条件的判定一般有①定义法:先分清条件和结论(分清哪个是条件,哪个是结论),然后找推导关系(判断,p q q p ⇒⇒的真假),最后下结论(根据推导关系及定义下结论). ②等价转化法:条件和结论带有否定性词语的命题,常转化为其逆否命题来判断.二、填空题13.【答案】.【解析】解:若¬P为假命题,则p为真命题.不等式tx2+2x﹣2>0有属于(1,)的解,即有属于(1,)的解,又时,,所以.故t>﹣.故答案为t>﹣.14.【答案】.【解析】解:∵曲线y=x2和直线:x=1的交点为(1,1),和直线y=的一个交点为(,)∴曲线y=x2和直线x=0,x=1,y=所围成的图形的面积为S=()dx+dx=(x﹣x3)+(x3﹣x)=.故答案为:.15.【答案】2.【解析】解:∵数据﹣2,﹣1,0,1,2,∴=,∴S2=[(﹣2﹣0)2+(﹣1﹣0)2+(0﹣0)2+(1﹣0)2+(2﹣0)2]=2,故答案为2;【点评】本题考查方差的定义与意义:一般地设n个数据,x,x2,…x n的平均数,是一道基础题;116.【答案】①②④【解析】解:对于①,∵BD1⊥面AB1C,∴动点P的轨迹所在曲线是直线B1C,①正确;对于②,满足到点A的距离为的点集是球,∴点P应为平面截球体所得截痕,即轨迹所在曲线为圆,②正确;对于③,满足条件∠MAP=∠MAC1的点P应为以AM为轴,以AC1为母线的圆锥,平面BB1C1C是一个与轴AM平行的平面,又点P在BB1C1C所在的平面上,故P点轨迹所在曲线是双曲线一支,③错误;对于④,P到直线C1D1的距离,即到点C1的距离与到直线BC的距离比为2:1,∴动点P的轨迹所在曲线是以C1为焦点,以直线BC为准线的双曲线,④正确;对于⑤,如图建立空间直角坐标系,作PE⊥BC,EF⊥AD,PG⊥CC1,连接PF,设点P坐标为(x,y,0),由|PF|=|PG|,得,即x2﹣y2=1,∴P点轨迹所在曲线是双曲线,⑤错误.故答案为:①②④.【点评】本题考查了命题的真假判断与应用,考查了圆锥曲线的定义和方方程,考查了学生的空间想象能力和思维能力,是中档题.17.【答案】.【解析】设A(1,1),B(﹣1,﹣1),则直线AB过原点,且阴影面积等于直线AB与圆弧所围成的弓形面积S1,由图知,,又,所以【点评】本题考查了随机数的应用及弓形面积公式,属于中档题.18.【解析】三、解答题19.【答案】【解析】解:(1)设切点.由,知抛物线在Q点处的切线斜率为,故所求切线方程为.即y=x0x﹣x02.因为点P(0,﹣4)在切线上.所以,,解得x0=±4.所求切线方程为y=±2x﹣4.(2)设A(x1,y1),C(x2,y2).由题意知,直线AC的斜率k存在,由对称性,不妨设k>0.因直线AC过焦点F(0,1),所以直线AC的方程为y=kx+1.点A,C的坐标满足方程组,得x2﹣4kx﹣4=0,由根与系数的关系知,|AC|==4(1+k2),因为AC⊥BD,所以BD的斜率为﹣,从而BD的方程为y=﹣x+1.同理可求得|BD|=4(1+),S ABCD=|AC||BD|==8(2+k2+)≥32.当k=1时,等号成立.所以,四边形ABCD面积的最小值为32.【点评】本题考查抛物线的方程和运用,考查直线和抛物线相切的条件,以及直线方程和抛物线的方程联立,运用韦达定理和弦长公式,考查基本不等式的运用,属于中档题.20.【答案】【解析】解:(Ⅰ)由题意得解得a=2,b=1,所以椭圆方程为.(Ⅱ)(i)由已知,直线MN的斜率存在,设直线MN方程为y=kx﹣,M(x1,y1),N(x2,y2).由得(1+4k2)x2﹣4kx﹣3=0,∴x1+x2=,x1x2=,又.所以S△PMN=|PD|•|x1﹣x2|==.令t=,则t≥,k2=所以S△PMN=,令h(t)=,t∈[,+∞),则h′(t)=1﹣=>0,所以h(t)在[,+∞),单调递增,则t=,即k=0时,h(t)的最小值,为h()=,所以△PMN面积的最大值为.(ii)假设存在△PMN是以O为中心的等边三角形.(1)当P在y轴上时,P的坐标为(0,1),则M,N关于y轴对称,MN的中点Q在y轴上.又O为△PMN的中心,所以,可知Q(0,﹣),M(﹣,),N(,).从而|MN|=,|PM|=,|MN|≠|PM|,与△PMN为等边三角形矛盾.(2)当P在x轴上时,同理可知,|MN|≠|PM|,与△PMN为等边三角形矛盾.(3)当P不在坐标轴时,设P(x0,y0),MN的中点为Q,则k OP=,又O为△PMN的中心,则,可知.设M(x1,y1),N(x2,y2),则x1+x2=2x Q=﹣x0,y1+y2=2y Q=﹣y0,又x12+4y12=4,x22+4y22=4,两式相减得k MN=,从而k MN=.所以k OP•k MN=•()=≠﹣1,所以OP与MN不垂直,与等边△PMN矛盾.综上所述,不存在△PMN是以O为中心的等边三角形.【点评】本小题考查点到直线的距离公式、椭圆的性质、直线与椭圆的位置关系等基础知识,考查运算求解能力、推理论证能力、分析解决问题能力,考查函数与方程思想、数形结合思想、特殊与一般思想、化归与转化思想21.【答案】(1)60N =,6n =;(2)815P =;(3)115. 【解析】试题解析:(1)分数在100-110内的学生的频率为1(0.040.03)50.35P =+⨯=,所以该班总人数为21600.35N ==, 分数在110-115内的学生的频率为21(0.010.040.050.040.030.01)50.1P =-+++++⨯=,分数在110-115内的人数600.16n =⨯=.(2)由题意分数在110-115内有6名学生,其中女生有2名,设男生为1234,,,A A A A ,女生为12,B B ,从6名学生中选出3人的基本事件为:12(,)A A ,13(,)A A ,14(,)A A ,11(,)A B ,12(,)A B ,23(,)AA ,24(,)A A ,21(,)AB ,22(,)A B ,34(,)A A ,31(,)A B ,32(,)A B ,41(,)A B ,42(,)A B ,12(,)B B 共15个.其中恰 好含有一名女生的基本事件为11(,)A B ,12(,)A B ,22(,)A B ,21(,)A B ,31(,)A B ,32(,)A B ,41(,)A B ,42(,)A B ,共8个,所以所求的概率为815P =. (3)12171788121001007x --+-++=+=;69844161001007y --+-+++=+=;由于与y 之间具有线性相关关系,根据回归系数公式得到^4970.5994b ==,^1000.510050a =-⨯=,∴线性回归方程为0.550y x =+,∴当130x =时,115y =.1考点:1.古典概型;2.频率分布直方图;3.线性回归方程.【易错点睛】本题主要考查古典概型,频率分布直方图,线性回归方程,数据处理和计算能力.求线性回归方程,a b c相对应,再进一步求解.在求解过程中,关键在于正确求出系数,a b,一定要将题目中所给数据与公式中的,,由于,a b的计算量大,计算时应仔细谨慎,分层进行,避免因计算而产生错误,特别是回归直线方程中一次项系数为,b常数项为这与一次函数的习惯表示不同.22.【答案】【解析】(1)证明:b n+1﹣b n=﹣=﹣=1,又b1=1.∴数列{b n}为等差数列,首项为1,公差为1.(2)解:由(1)可得:b n=n.c n=b n+1•()=(n+1).∴数列{c n}的前n项和为T n=+3×++…+(n+1).=+3×+…+n+(n+1),∴T n=+++…+﹣(n+1)=+﹣(n+1),可得T n=﹣.(3)证明:1+++…+≤2﹣1(n∈N*)即为:1+++…+≤﹣1.∵=<=2(k=2,3,…).∴1+++…+≤1+2[(﹣1)+()+…+(﹣)]=1+2=2﹣1.∴1+++…+≤2﹣1(n∈N*).23.【答案】【解析】解:(1)可设P的坐标为(c,m),则c 2a 2+m 2b2=1, ∴m =±b 2a ,∵|PF |=1 ,即|m |=1,∴b 2=a ,①又A ,B 的坐标分别为(-a ,0),(a ,0),由k P A ·k PB =-12得b 2ac +a ·b 2a c -a=-12,即b 2=12a 2,②由①②解得a =2,b =2,∴椭圆C 的方程为x 24+y 2=1.(2)当l 与y 轴重合时(即斜率不存在),由(1)知点P 的坐标为P (2,1),此时S △PMN =12×22×2=2.当l 不与y 轴重合时,设其方程为y =kx ,代入C 的方程得x 24+k 2x 22=1,即x =±21+2k2,∴y =±2k1+2k 2,即M (21+2k2,2k 1+2k2),N (-21+2k2,-2k 1+2k2),∴|MN |= ⎝ ⎛⎭⎪⎫41+2k 22+⎝ ⎛⎭⎪⎫4k 1+2k 22 =41+k 21+2k 2,点P (2,1)到l :kx -y =0的距离d =|2k -1|k 2+1,∴S △PMN =12|MN |d =12·41+k 21+2k 2·|2k -1|k 2+1=2·|2k -1|1+2k 2=22k 2+1-22k1+2k 2=21-22k 1+2k2,当k >0时,22k 1+2k 2≤22k22k =1,此时S ≥0显然成立, 当k =0时,S =2.当k <0时,-22k 1+2k 2≤1+2k 21+2k 2=1,当且仅当2k 2=1,即k =-22时,取等号. 此时S ≤22,综上所述0≤S ≤2 2. 即当k =-22时,△PMN 的面积的最大值为22,此时l 的方程为y =-22x . 24.【答案】【解析】【命题意图】本题考查导数的应用等基础知识,意在考查转化与化归思想的运用和综合分析问题解决问题的能力.请。
山西省运城市夏县中学2018届高三上学期第一次月考英语试题
山西省运城市夏县中学2018届高三上学期第一次月考英语试题学校:___________姓名:___________班级:___________考号:___________一、阅读选择When you go to St. Petersburg, the number of attractions can seem large. If you are short of time, or just want to make sure to hit the highlights, these are the top must-see sights in St, Petersburg.● The Hermitage MuseumThe Hermitage Museum is one of the most important sights to see for any visitor to St. Petersburg. There are lots of different paintings by the old masters in the Hermitage. Prepare to come face-to-face with classic Western artists.● Kizhi IslandKizhi Island is an open-air museum of wooden architecture from the Karelia Region of Russia. These impressive structures are made entirely without nails - the wood fits together with joints and grooves (沟槽).● PeterhofPeterhof is as beautiful as it is fun. You’ll be charged for admission, but go to Petethof when the fountains are working-during the day in the summer. They are shut off in winter evenings,● The Church of Our Savior on the Spilt B loodLove it or hale it, the Church of Our Savior on the Spilt Blood in St. Petersburg is an enthralling must-see sight. The beautiful look may make y our eyes brighten, and the painting inside the church will make you say “Wow!”● The Bronze Horseman Stat ueThe so-called Bronze Horseman is a part of Russian culture and a symbol of St, Petersburg. Made famous by Alexander Pushkin, this statue of Peter the Great sitting on his horse can truly show Peter the Great’s influence on the Russian idea of greatness.1.If you are interested in paintings, you'd better go to ______A.Peterhof arid Kizhi IslandB.the Hernatage Museum and PeterhofC.Kizhi Island and the Church of Our Savior on the Spilt BloodD.the hermitage Museum and the Church of Our Savior on the Spilt Blood2.We can learn from the passage that ______A.visitors can visit Peterhof for freeB.the buildings of Kizhi Island are made of woodC.the fountains in Peterhof can be seen all year roundD.the largest collection of Russian arts is in the Hermitage Museum3.The main purpose of the passage is to ______A.show the wonderful history of RussiaB.persuade artists to study St. PetersburgC.recommend the famous buildings in RussiaD.introduce the must-see sights in St. PetersburgOur planet is home to about seven billion people. Since the 1990s, population experts have predicted the number would grow to nine billion before it begins to slow down and possibly decrease.But a new report predicts the world’s population is likely to increase to almost 11 bi llion by 2100. Based on the most modem statistical tools, the new report makes use of government records and considers expert predictions, including death rates, birthrates and international migration, or people moving across borders. The report says during the rest of this century, Africa’s population will grow from about 3.5 billion to 5.1 billion over the next 85 years.John is director of the United Nations Population Division. He says that in the past, researchers thought population growth in Africa would be similar to that of other areas. They expected slower growth rates as birth control use became more widespread. But he says those ideas were wrong.“The level of contraception use has continued to increase but slowly — more slowly than expected, and birthrate therefore has been falling less rapidly than expected, and the population therefore continues to grow somewhat more rapidly than we expected.The new findings are based on a joint research project of the United Nations and the University of Washington,The researchers believe the population of Asia will reach five billion by 2050. That is up from the current 4.4 billion. And then begin decline. The researchers also believe that North America, Europe, Latin America and the Caribbean area will have a total population of belowone billion.John says the pressure of feeding the rising population is likely to be less than that might be expected.“The relatively good news is that the world has been winning the race between population growth and food production. If you look back historically over the last 50 years, certainly for the world as a whole and for many, most individual countries and regions, the increase in food production has outpaced the increase of population.”4.Which area will experience the largest increase in population at the end of the century?A.Asia. B.Africa.C.Europe. D.North America. 5.“Contraception use” in the fourth paragraph refers to ________.A.a method of expert predictionsB.a way of avoiding growth in populationC.a joint research into the rising populationD.a potential technology for food production6.Why is the pressure of feeding the rising population less than expected according to John? A.Expert predictions are not exactly like what the facts happen.B.Birthrates have always been falling less rapidly than we expected.C.The population grows less rapidly than population experts expected.D.The increase in food production has outpaced the increase of population,7.What can be inferred from the passage?A.The world’s popul ation will increase constantly.B.The population of Asia will rise by 5 billion by 2050.C.John is optimistic about feeding the rising population,D.Population growth in Africa was much slower than expected.As Internet users become more dependent on the Internet to store information, are people remember less? If you know your computer will save information, why store it in your own personal memory, your brain? Experts are wondering if the Internet is changing what we remember and how.In a recent study, Professor Betsy Sparrow conducted some experiments. She and her research team wanted to know the Internet is changing memory. In the first experiment, theygave people 40 unimportant facts to type into a computer. The first group of people understood that the computer would save the information. The second group understood that the computer would not save it. Later, the second group remembered the information better. People in the first group knew they could find the information again, so they did not try to remember it.In another experiment, the researchers gave people facts to remember, and told them where to find the information on the Internet. The information was in a specific computer folder (文件夹). Surprisingly, people later remember the folder location (位置) better than the facts. When people use the Internet, they do not remember the information. Rather, they remember how to find it. This is called “transactive memory (交互记忆)”According to Sparrow, we are not becoming people with poor memories as a result of the Internet. Instead, computer users are developing stronger transactive memories; that is, people are learning how to organize huge quantities of information so that they are able to access it at a later date. This doesn’t mean we are becoming either more or less intelligent, but there is no doubt that the way we use memory is changing.8.The passage begins with two questions to ________.A.introduce the main topic B.show the author’s attitude C.describe how to use the Internet D.explain how to store information 9.What can we learn about the first experiment?A.Sparrow’s team typed the information into a computer.B.The two groups remembered the information equally well.C.The first group did not try to remember the formation.D.The second group did not understand the information.10.In transactive memory, people ________.A.keep the information in mindB.change the quantity of informationC.organize information like a computerD.remember how to find the information11.What is the effect of the Internet according to Sparrow's research?A.We are using memory differently.B.We are becoming more intelligent.C.We have poorer memories than before.D.We need a better way to access information.Would it surprise you to learn that, like animals, trees communicate with each other and pass on their wealth to the next generation?UBC Professor Simard explains how trees are much more complex than most of us ever imagined. Although Charles Darwin thought that trees are competing for survival of the fittest, Simard shows just how wrong he was. In fact, the opposite is true: trees survive through their cooperation and support, passing around necessary nutrition “depending on who needs it”.Nitrogen (氮) and carbon are shared through miles of underground fungi (真菌) networks, making sure that all trees in the forest ecological system give and receive just the right amount to keep them all healthy. This hidden system works in a very similar way to the networks of neurons (神经元) in our brains, and when one tree is destroyed, it affects all. Simard talks about “mother trees”, usually the largest and oldest plants on which all other trees depend. She explains how dying trees pass on the wealth to the next generation, transporting important minerals to young trees so they may continue to grow. When humans cut down “mother trees” with no awareness of these highly complex “tree societies” or the networks on which they feed, we are reducing the chances of survival for the entire forest “We didn’t take any notice of it.” Simard says sadly. “Dying trees move nutrition into the young trees before dying, but we never give them chance.” If we could put across the message to the forestry industry, we could make a huge difference towards our environmental protection efforts for the future.12.The underlined sentence “the opposite is true” in Paragraph 2 probably means that trees ________.A.compete for survival B.protect their own wealthC.depend on each other D.provide support for dying trees 13.“Mother trees” are extremely impo rtant because they ________.A.look the largest in size in the forestB.pass on nutrition to young treesC.seem more likely to be cut down by humansD.know more about the complex “tree societies”14.The underlined word “it” in the last paragraph refers to ________.A.how “tree societies” work B.how trees grow oldC.how forestry industry develops D.how young trees survive15.What would be the best title for the passage?A.Old Trees Communicate Like HumansB.Young Trees are In Need Of ProtectionC.Trees Are More Awesome Thart You ThinkD.Trees Contribute To Our Society二、七选五Although problems are a part of our lives, it certainly doesn’t mean that we let them rule our lives forever. One day or the other, you’ll have to stand up and say—problem, I don’t want you in my life.16.Problems with friends, parents, girlfriends, husbands, and children—the list goes on. Apart from these, the inner conflicts within ourselves work, too. These keep adding to our problems. Problems come in different shapes and colors and feelings.But good news is that all problems can be dealt with. Now read on to know how to solve your problems.Talk, it really helps. What most of us think is that our problem can be understood only by us and that no talking is going to help. 17.Talking helps you move on and let go.Write your problems.18.When you write down your problems, you are setting free all the tension from your system.You can try throwing away the paper on which you wrote your problems.By doing this, imagine yourself throwing away the problems from your life.Don’t lose faith and hope. No matter what you lose in life, don’t lose faith and hope.Even if you lose all your money, family...you should still have faith.19.Your problems aren’t the worst. No matter what problem you get in life, there are another one million people whose problems are huger than yours.20.Your problems might just seem big and worse, but in reality they can be removed.Go about and solve your problems because every problem, however big or small, always has a way out.A.But the truth is that when you talk about it,you’re setting free the negative energies that have been gathering within you.B.When we have a problem,a pressing,critical,urgent,life-threatening problem,how do we try and solve it?C.Tell yourself:when they can deal with them,why can’t I?D.Of course,we’ve been fighting problems ever since we were born.E.We can often overcome the problem and achieve the goal by making a direct attack.F.Having a personal diary can also be of huge help if you don’t want a real person to talk with.G.With faith and hope,you can rebuild everything that you lose.三、完形填空Reading good books is one of the greatest pleasures in life. It 21 our happiness when we are cheerful, and lessens our 22 when we are sad. A good book may absorb our attention so 23 that for the time being we forget our 24 .Whatever may be our main purpose in reading, good books should never fail to give us 25 . With a good book in our hands we will never be 26 . Whether the characters in the book are taken from real life or are purely 27 , they may become our companions and make us laugh. The people we meet in books may 28 us either because they are similar to our close friends or because they present 29 types whom we are glad to welcome as new acquaintances. Our human friends sometimes 30 us, but the friends we make in books are always respect us. By turning the pages we can 31 them without any fear of hurting their feelings, When our human friends 32 us, good books are always there to give us sympathy and encouragement.One of the most valuable gifts from books is 33 . Few of us can travel far from home. 34 all of us can lead varied lives through the pages of book. When we wish to 35 from the dull realities of everyday life, a book will help us when 36 else can. To travel by book we don’t have to 37 and save a lot of money. Through books we may gel the thrill of adventure without 38 . We can climb high mountains or cross the hoi sands of the desert, 39 , through books the whole world is ours for the asking. The 40of our literary experiences are almost unlimited.21.A.achieves B.reduces C.increases D.threatens 22.A.duties B.sorrows C.chances D.diseases 23.A.completely B.naturally C.frequently D.desperately 24.A.performances B.prejudices C.responsibilities D.surroundings 25.A.agreement B.treatment C.enjoyment D.judgement 26.A.lonely B.lazy C.tired D.guilty 27.A.average B.imaginary C.typical D.fortunate 28.A.greet B.shock C.worry D.delight29.A.uncertain B.unpractical C.unfamiliar D.unnecessary 30.A.make fun of B.take care of C.catch sight of D.pay attention t 31.A.order B.control C.believe D.ignore 32.A.challenge B.Abandon C.understand D.persuade 33.A.pleasure B.knowledge C.experience D.success 34.A.but B.or C.if D.so 35.A.return B.recover C.graduate D.escape 36.A.anything B.nothing C.everything D.something 37.A.pay B.stop C.guess D.race 38.A.reason B.evidence C.danger D.instruction 39.A.However B.Therefore C.Otherwise D.Anyway 40.A.purposes B.possibilities C.directions D.suggestions四、用单词的适当形式完成短文It is often said that eyes can speak. In a bus you may look at g stranger, 41.not too long. If he notices that he is being stared at, he may feel 42.(comfort). It is the same in daily life. When you are 43.(look) at for several more times, you will look at yourself up and down to see if there is anything wrong 44.you. If nothing goes wrong, you 45.(feel) angry with the person who is looking at you. Eyes can speak, right?46.(look) too long at someone may seem to be impolite. But sometimes things are different when it 47.(come) to staring at the opposite sex, if a man glances at a woman for more than ten seconds, his intentions are obvious, that is, he wishes to attract 48.(she ) attention, to make her understand that he is admiring her.In fact, continuous eye contact is limited to 49.(love) only, who will enjoy looking at each other 50.(gentle ) for a long time,to show affection that words cannot express. Evidently, eye communication should be done according to the relationship between the two people.五、短文改错51.假定英语课上老师要求同桌之间交换修改作文,请你修改你同桌写的以下作文。
夏县高级中学2018-2019学年高三上学期11月月考数学试卷含答案
夏县高级中学2018-2019学年高三上学期11月月考数学试卷含答案一、选择题1. 已知正方体的不在同一表面的两个顶点A (﹣1,2,﹣1),B (3,﹣2,3),则正方体的棱长等于( )A .4B .2C .D .22. i 是虚数单位, =( )A .1+2i B .﹣1﹣2iC .1﹣2i D .﹣1+2i 3. 在△ABC 中,∠A 、∠B 、∠C 所对的边长分别是a 、b 、c .若sinC+sin (B ﹣A )=sin2A ,则△ABC 的形状为( )A .等腰三角形B .直角三角形C .等腰直角三角形D .等腰三角形或直角三角形4. 若a ,b ,c 成等比数列,m 是a ,b 的等差中项,n 是b ,c 的等差中项,则=( )A .4B .3C .2D .15. 函数y=sin (2x+)图象的一条对称轴方程为( )A .x=﹣B .x=﹣C .x=D .x= 6. 已知集合{}ln(12)A x y x ==-,{}2B x x x =≤,全集,则( )U A B =U ()U C A B =I (A ) ( B ) (C ) (D ) (),0-∞1,12⎛⎤- ⎥⎝⎦()1,0,12⎡⎤-∞⋃⎢⎥⎣⎦1,02⎛⎤- ⎥⎝⎦7. 若双曲线﹣=1(a >0,b >0)的渐近线与圆(x ﹣2)2+y 2=2相切,则此双曲线的离心率等于( )A .B .C .D .28. 经过两点,的直线的倾斜角为( )A .120°B .150°C .60°D .30° 9. 德国著名数学家狄利克雷在数学领域成就显著,以其名命名的函数f (x )=被称为狄利克雷函数,其中R 为实数集,Q 为有理数集,则关于函数f (x )有如下四个命题:①f (f (x ))=1;②函数f (x )是偶函数;③任取一个不为零的有理数T ,f (x+T )=f (x )对任意的x=R 恒成立;④存在三个点A (x 1,f (x 1)),B (x 2,f (x 2)),C (x 3,f (x 3)),使得△ABC 为等边三角形.其中真命题的个数有( )A .1个B .2个C .3个D .4个 班级_______________ 座号______ 姓名_______________ 分数__________________________________________________________________________________________________________________10.江岸边有一炮台高30米,江中有两条船,由炮台顶部测得俯角分别为45°和30°,而且两条船与炮台底部连线成30°角,则两条船相距()A .10米B .100米C .30米D .20米11.某校在高三第一次模拟考试中约有1000人参加考试,其数学考试成绩近似服从正态分布,即(),试卷满分150分,统计结果显示数学考试成绩不及格(低于90分)的人数占总()2~100,X N a 0a >人数的,则此次数学考试成绩在100分到110分之间的人数约为( )110(A ) 400 ( B ) 500 (C ) 600(D ) 80012.已知a ,b 都是实数,那么“a 2>b 2”是“a >b ”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二、填空题13.函数f (x )=a x +4的图象恒过定点P ,则P 点坐标是 .14.已知双曲线的左焦点在抛物线的准线上,则 .1163222=-p y x px y 22==p 15.若x ,y 满足约束条件,若z =2x +by (b >0)的最小值为3,则b =________.{x +y -5≤02x -y -1≥0x -2y +1≤0)16.在数列中,则实数a= ,b= .17.已知一个动圆与圆C :(x+4)2+y 2=100相内切,且过点A (4,0),则动圆圆心的轨迹方程 .18.命题“∀x ∈R ,x 2﹣2x ﹣1>0”的否定形式是 .三、解答题19.已知函数f (x )=1+(﹣2<x ≤2).(1)用分段函数的形式表示函数;(2)画出该函数的图象;(3)写出该函数的值域.20.为了解学生身高情况,某校以10%的比例对全校700名学生按性别进行抽样检查,测得身高情况的统计图如下:(Ⅰ)估计该校男生的人数;(Ⅱ)估计该校学生身高在170~185cm 之间的概率;(Ⅲ)从样本中身高在180~190cm 之间的男生中任选2人,求至少有1人身高在185~190cm 之间的概率. 21.设0<||≤2,函数f (x )=cos 2x ﹣||sinx ﹣||的最大值为0,最小值为﹣4,且与的夹角为45°,求|+|.22.如图,四棱锥中,,P ABC -,//,3,PA BC 4PA ABCD AD BC AB AD AC ⊥=====M 为线段上一点,为的中点.AD 2,AM MD N =PC(1)证明:平面;//MN PAB (2)求直线与平面所成角的正弦值;AN PMN23.在△ABC 中,D 为BC 边上的动点,且AD=3,B=.(1)若cos ∠ADC=,求AB 的值;(2)令∠BAD=θ,用θ表示△ABD 的周长f (θ),并求当θ取何值时,周长f (θ)取到最大值?24.(本小题满分12分)已知点为圆上一个动点,点是在轴上的投影,为线段上一点,且与点关M 22:4C x y +=D M x P MD Q 于原点对称,满足.O QP OM OD =+u u u r u u u u r u u u r (1)求动点的轨迹的方程;P E (2)过点作的切线与圆相交于两点,当的面积最大时,求直线的方程.P E l ,A B QAB ∆l夏县高级中学2018-2019学年高三上学期11月月考数学试卷含答案(参考答案)一、选择题题号12345678910答案A D D C A C B A D C题号1112答案A D二、填空题13. (0,5) .14.415.16.a= ,b= .17.+=1 .18. .三、解答题19.20.21.22.(1)证明见解析;(2.23.24.。
2018届山西省夏县中学高三4月月考政治试题及答案 精品推荐
高三月考政治试题本试卷分第Ⅰ卷和第Ⅱ卷两部分。
全卷满分为100分,考试用时为90分钟。
第Ⅰ卷(选择题共50分)一、单项选择题(下列各选项中,只有一个是最符合题意的,请选出正确答案。
每小题2分,25小题,共计50分)1、中国H公司与美国某公司签订服装出口合同,约定服装单价为24美元,一年后交货。
H公司生产一件服装的成本是144人民币元。
签订合同时汇率为1美元=6.32人民币元,交货时为1美元=6.27人民币元。
在不考虑其他条件的情况下,H公司交货时的利润率比签约时的利润率( )A.下降0.83% B.下降0.76% C.上升0.83% D.上升0.76% 2、 2018年1月4日100美元兑人民币628.97元,到5月9日跌至619.25元在其他条件不变的情况下,美元对人民币汇率的这一变化会使( )A.我国居民降低对美国商品的需求 B.我国居民更多地选择去美国旅游C.我国企业增加对美国的商品出口 D.我国企业减少对美国的投资3、 2018年4月10日起,人民币与澳大利亚元可以在银行间外汇市场直接兑换交易,无需再通过美元这一中介实现兑换。
至此,澳大利亚元成为继美元、日元之后,第三个与人民币直接交易兑换的西方国家主权货币。
中澳货币直接兑换能够( )①降低金融交易费用,促进中澳双边贸易②客观反映人民币供求,稳定人民币币值③增进人民币的自由流通,加快其国际化④提高人民币汇率,吸引中国人赴澳旅游A.①②B.①③ C.②④ D.③④4、2012年,某县农民种植的土豆产量大增,但市场没有相应扩大,农民不得不低价销售,收入不增反降。
下图的①②③④中,能够反映这种“丰产不丰收”经济现象的是( )A.① B.② C.③ D.④5、支持价格是指一国为了支持农业的发展而对粮食等农产品所规定的最低收购价格。
我国某农产品的需求曲线(D)和供给曲线(S)如右图所示。
该产品的支持价格和供给数量分别为( )A.P0,Q0 B.P1,Q2 C.P1,Q4D.P2,Q16、有消费者说,我只喜欢购买明星代言的产品;有企业认为,通过广告遍撒鱼饵,有“鱼”上钩,企业就赚钱了。