2016年普通高等学校全国统一考试(四川卷)(精校版)
2016年高考四川卷英语试题(含答案)
绝密★启用前2016年普通高等学校全国统一考试(四川卷)英语注意事项:1.本试卷分第I卷(选择题)和第II卷(非选择题)两部分。
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£19。
15。
B。
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What will Lucy do at 11:30 tomorrow?A. Go out for lunch。
B。
See her dentist。
C. Visit a friend.2. What is the weather like now?A。
It’s sunny. B。
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3。
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To make an apology。
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C. To discuss his studies。
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By bus。
5。
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Look for a job。
B. Go on a trip. D。
【精校】2016年普通高等学校招生全国统一考试(四川卷)数学理
2016年普通高等学校招生全国统一考试(四川卷)数学理一、选择题:本大题共10小题,每小题5分,共50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.设集合A={x|-2≤x ≤2},Z 为整数集,则A ∩Z 中元素的个数是( ) A.3 B.4 C.5 D.6解析:∵A={x|-2≤x ≤2},Z 为整数集,∴A ∩Z={-2,-1,0,1,2},则A ∩Z 中元素的个数是5. 答案:C.2.设i 为虚数单位,则(x+i)6的展开式中含x 4的项为( ) A.-15x 4 B.15x 4 C.-20ix 4 D.20ix 4解析:(x+i)6的展开式中含x 4的项为46C x 4·i 2=-15x 4. 答案:A3.为了得到函数y=sin(2x-3π)的图象,只需把函数y=sin2x 的图象上所有的点( ) A.向左平行移动3π个单位长度 B.向右平行移动3π个单位长度C.向左平行移动6π个单位长度D.向右平行移动6π个单位长度 解析:把函数y=sin2x 的图象向右平移6π个单位长度,可得函数y=sin2(x-6π)=sin(2x-3π)的图象. 答案:D.4.用数字1,2,3,4,5组成没有重复数字的五位数,其中奇数的个数为( ) A.24 B.48 C.60 D.72解析:要组成无重复数字的五位奇数,则个位只能排1,3,5中的一个数,共有3种排法,然后还剩4个数,剩余的4个数可以在十位到万位4个位置上全排列,共有44A =24种排法.由分步乘法计数原理得,由1、2、3、4、5组成的无重复数字的五位数中奇数有3×24=72个. 答案:D5.某公司为激励创新,计划逐年加大研发资金投入.若该公司2015年全年投入研发资金130万元,在此基础上,每年投入的研发资金比上一年增长12%,则该公司全年投入的研发资金开始超过200万元的年份是( ) (参考数据:lg1.12=0.05,lg1.3=0.11,lg2=0.30) A.2018年 B.2019年 C.2020年 D.2021年解析:设第n 年开始超过200万元, 则130×(1+12%)n-2015>200,化为:(n-2015)lg1.12>lg2-lg1.3,n-2015>0.300.110.05=3.8.取n=2019.因此开始超过200万元的年份是2019年.答案:B.6.秦九韶算法求某多项式值的一个实例,若输入n,x的值分别为3,2,则输出v的值为( )A.9B.18C.20D.35解析:初始值n=3,x=2,程序运行过程如下所示:v=1i=2 v=1×2+2=4i=1 v=4×2+1=9i=0 v=9×2+0=18i=-1 跳出循环,输出v的值为18.答案:B7.设p:实数x,y满足(x-1)2+(y-1)2≤2,q:实数x,y满足111y xy xy≥-⎧⎪≥-⎨⎪≤⎩,,,则p是q的( )A.必要不充分条件B.充分不必要条件C.充要条件D.既不充分也不必要条件解析:(x-1)2+(y-1)2≤2表示以(1,1)为圆心,以2为半径的圆内区域(包括边界);满足111y xy xy≥-⎧⎪≥-⎨⎪≤⎩,,,的可行域如图有阴影部分所示,故p是q的必要不充分条件.答案:A8.设O为坐标原点,P是以F为焦点的抛物线y2=2px(p>0)上任意一点,M是线段PF上的点,且|PM|=2|MF|,则直线OM的斜率的最大值为( )A.3B.2 3C.2D.1解析:由题意可得F(2p,0),设P(202y p ,y0),显然当y 0<0,k OM <0;当y 0>0,k OM >0. 要求k OM 的最大值,设y 0>0,则()1133OM OF FM OF FP OF OP OF =+=+=+-u u u u r u u u r u u u u r u u u r u u u r u u u r u u u r u u u r =1233OP OF +u u u r u u u r =(2063y p p +,03y) 可得k OM=02000232632y y p y pp y p =≤=++, 当且仅当y 02=2p 2,取得等号. 答案:C9.设直线l 1,l 2分别是函数f(x)=ln 01ln 1x x x x -⎧⎨⎩,<<,,>,图象上点P 1,P 2处的切线,l 1与l 2垂直相交于点P ,且l 1,l 2分别与y 轴相交于点A ,B ,则△PAB 的面积的取值范围是( ) A.(0,1) B.(0,2) C.(0,+∞) D.(1,+∞)解析:设P 1(x 1,y 1),P 2(x 2,y 2)(0<x 1<1<x 2), 当0<x <1时,f ′(x)=-1x ,当x >1时,f ′(x)=1x, ∴l 1的斜率k 1=-11x ,l 2的斜率k 2=21x , ∵l 1与l 2垂直,且x 2>x 1>0,∴k 1·k 2=-11x ·21x =-1,即x 1x 2=1. 直线l 1:y=-11x (x-x 1)-lnx 1,l 2:y=21x (x-x 2)+lnx 2. 取x=0分别得到A(0,1-lnx 1),B(0,-1+lnx 2),|AB|=|1-lnx 1-(-1+lnx 2)|=|2-(lnx 1+lnx 2)|=|2-lnx 1x 2|=2. 联立两直线方程可得交点P 的横坐标为x=12122x x x x +, ∴S △PAB =12|AB|·|x P |=12×2×12122x x x x +=122x x +=1121x x +.∵函数y=x+1x在(0,1)上为减函数,且0<x 1<1, ∴111x x +>1+1=2,则0<1111x x +<12,∴0<1121x x +<1.∴△PAB 的面积的取值范围是(0,1). 答案:A.10.在平面内,定点A ,B ,C ,D 满足DA DB DC ==u u u r u u u r u u u r ,DA DB DB DC DC DA ⋅=⋅=⋅u u ur u u u r u u u r u u u r u u u r u u u r =-2,动点P ,M 满足|AP|=1,PM MC =u u u u r u u u u r ,则|BM u u u u r |2的最大值是( )A.434B.494D.374+ 解析:由DA DB DC ==u u u r u u u r u u u r,可得D 为△ABC 的外心,又DA DB DB DC DC DA ⋅=⋅=⋅u u u r u u u r u u u r u u u r u u u r u u u r ,可得()0DB DA DC ⋅-=u u u r u u u r u u u r ,()DC DB DA ⋅-u u u r u u u r u u u r,即0DB AC DC AB ⋅=⋅=u u u r u u u r u u u r u u u r,即有DB ⊥AC ,DC ⊥AB ,可得D 为△ABC 的垂心, 则D 为△ABC 的中心,即△ABC 为正三角形.由DA DB ⋅u u u r u u u r=-2,即有DA DA ⋅u u u r u u u r cos120°=-2,解得DA u u u r =2,△ABC 的边长为4cos30°以A 为坐标原点,AD 所在直线为x 轴建立直角坐标系xOy , 可得B(3,,C(3,D(2,0),由|AP u u u r|=1,可设P(cos θ,sin θ),(0≤θ<2π),由PM MC =u u u u r u u u u r ,可得M 为PC 的中点,即有M(3cos 2θ+,cos 2θ),则2223cos sin 3()(22BM θθ+=-++u u u u r = ()()22sin 3cos 44θθ-+==3712sin()64πθ+-, 当sin(θ-6π)=1,即θ=23π时,取得最大值,且为494.答案:B二、填空题:本大题共5小题,每小题5分,共25分. 11.cos28π-sin 28π= .解析:cos 28π-sin 28π=cos(2×8π)=cos 42π=.答案:212.同时抛掷两枚质地均匀的硬币,当至少有一枚硬币正面向上时,就说这次试验成功,则在2次试验中成功次数X 的均值是 .解析:∵同时抛掷两枚质地均匀的硬币,当至少有一枚硬币正面向上时,就说这次试验成功,∴这次试验成功的概率p=1-(12)2=34, ∴在2次试验中成功次数X ~B(2,34),∴在2次试验中成功次数X 的均值E(X)=2×34=32. 答案:32.13.已知三棱锥的四个面都是腰长为2的等腰三角形,该三棱锥的正视图如图所示,则该三棱锥的体积是 .解析:∵三棱锥的四个面都是腰长为2的等腰三角形,结合给定的三棱锥的正视图,可得:三棱锥的底面是底为1,棱锥的高为1,故棱锥的体积V=13×(12×1)×1=3.答案:314.已知函数f(x)是定义在R 上的周期为2的奇函数,当0<x <1时,f(x)=4x ,则f(-52)+f(1)= . 解析:∵f(x)是定义在R 上周期为2的奇函数,∴f(-52)=f(-2-12)=f(-12)=-f(12), ∵x ∈(0,1)时,f(x)=4x ,∴f(-52)=-2,∵f(x)是定义在R 上周期为2的奇函数, ∴f(-1)=f(1),f(-1)=-f(1),∴f(1)=0,∴f(-52)+f(1)=-2. 答案:-215.在平面直角坐标系中,当P(x ,y)不是原点时,定义P 的“伴随点”为P ′(22yx y +,22xx y-+);当P 是原点时,定义P 的“伴随点“为它自身,平面曲线C 上所有点的“伴随点”所构成的曲线C ′定义为曲线C 的“伴随曲线”.现有下列命题: ①若点A 的“伴随点”是点A ′,则点A ′的“伴随点”是点A ; ②单位圆的“伴随曲线”是它自身;③若曲线C 关于x 轴对称,则其“伴随曲线”C ′关于y 轴对称; ④一条直线的“伴随曲线”是一条直线.其中的真命题是 (写出所有真命题的序列). 解析:①若点A(x ,y)的“伴随点”是点A ′(22y x y +,22x x y -+),则点A ′(22yx y+,22xx y -+)的“伴随点”是点(-x ,-y),故不正确;②由①可知,单位圆的“伴随曲线”是它自身,故正确;③若曲线C 关于x 轴对称,点A(x ,y)关于x 轴的对称点为(x ,-y),“伴随点”是点A ′(22y x y -+,22xx y-+),则其“伴随曲线”C ′关于y 轴对称,故正确; ④设直线方程为y=kx+b(b ≠0),点A(x ,y)的“伴随点”是点A ′(m ,n),则 ∵点A(x ,y)的“伴随点”是点A ′(22y x y +,22x x y -+),∴n x m y =-,∴x=-bnkn m+,y=bmkn m+,∵m=22y x y +,∴代入整理可得221k m n n b+--=0表示圆,故不正确. 答案:②③.三、解答题:本大题共6小题,共75分.解答应写出文字说明、证明过程或演算步骤.16.我国是世界上严重缺水的国家,某市政府为了鼓励居民节约用水,计划调整居民生活用水收费方案,拟确定一个合理的月用水量标准x(吨),一位居民的月用水量不超过x 的部分按平价收费,超出x 的部分按议价收费.为了了解居民用水情况,通过抽样,获得了某年100位居民每人的月均用水量(单位:吨),将数据按照[0,0.5),[0.5,1),…,[4,4.5)分成9组,制成了如图所示的频率分布直方图.(Ⅰ)求直方图中a 的值;(Ⅱ)设该市有30万居民,估计全市居民中月均用水量不低于3吨的人数,并说明理由; (Ⅲ)若该市政府希望使85%的居民每月的用水量不超过标准x(吨),估计x 的值,并说明理由.解析:(Ⅰ)根据各组的累积频率为1,构造方程,可得a 值;(Ⅱ)由图可得月均用水量不低于3吨的频率,进而可估算出月均用水量不低于3吨的人数;(Ⅱ)由图可得月均用水量低于2.5吨的频率及月均用水量低于3吨的频率,进而可得x 值.答案:(Ⅰ)∵0.5×(0.08+0.16+0.4+0.52+0.12+0.08+0.04+2a)=1, ∴a=0.3;(Ⅱ)由图可得月均用水量不低于3吨的频率为:0.5×(0.12+0.08+0.04)=0.12,由30×0.12=3.6得:全市居民中月均用水量不低于3吨的人数约为3.6万;(Ⅱ)由图可得月均用水量低于2.5吨的频率为:0.5×(0.08+0.16+0.3+0.4+0.52)=0.73<85%;月均用水量低于3吨的频率为:0.5×(0.08+0.16+0.3+0.4+0.52+0.3)=0.88>85%;则x=2.5+0.5×0.850.730.30.5-⨯=2.9吨.17.在△ABC中,角A,B,C所对的边分别是a,b,c,且cos cos sinA B Ca b c+=.(Ⅰ)证明:sinAsinB=sinC;(Ⅱ)若b2+c2-a2=65bc,求tanB.解析:(Ⅰ)将已知等式通分后利用两角和的正弦函数公式整理,利用正弦定理,即可证明.(Ⅱ)由余弦定理求出A的余弦函数值,利用(Ⅰ)的条件,求解B的正切函数值即可.答案:(Ⅰ)在△ABC中,∵cos cos sinA B Ca b c+=,∴由正弦定理得:cos cos sinsin sin sinA B CA B C+=,∴()sincos sin cos sin1 sin sin sin sinA BA B B AA B A B++==,∵sin(A+B)=sinC.∴整理可得:sinAsinB=sinC,(Ⅱ)b2+c2-a2=65bc,由余弦定理可得cosA=35.sinA= 45,cossi4n3AA=,cos cos sinsin sin sinA B CA B C+==1,cossi4n1BB=,tanB=4.18.如图,在四棱锥P-ABCD中,PA⊥CD,AD∥BC,∠ADC=∠PAB=90°,BC=CD=12 AD.(I)在平面PAD内找一点M,使得直线CM∥平面PAB,并说明理由;(Ⅱ)若二面角P-CD-A 的大小为45°,求直线PA 与平面PCE 所成角的正弦值.解析:(I)延长AB 交直线CD 于点M ,由点E 为AD 的中点,可得AE=ED=12AD ,由BC=CD=12AD ,可得ED=BC ,已知ED ∥BC.可得四边形BCDE 为平行四边形,即EB ∥CD.利用线面平行的判定定理证明得直线CM ∥平面PBE 即可.(II)如图所示,由∠ADC=∠PAB=90°,异面直线PA 与CD 所成的角为90°AB ∩CD=M ,可得AP ⊥平面ABCD.由CD ⊥PD ,PA ⊥AD.因此∠PDA 是二面角P-CD-A 的平面角,大小为45°.PA=AD.不妨设AD=2,则BC=CD=12AD=1.可得P(0,0,2),E(0,1,0),C(-1,2,0),利用法向量的性质、向量夹角公式、线面角计算公式即可得出. 答案:(I)延长AB 交直线CD 于点M ,∵点E 为AD 的中点,∴AE=ED=12AD , ∵BC=CD=12AD ,∴ED=BC , ∵AD ∥BC ,即ED ∥BC.∴四边形BCDE 为平行四边形,即EB ∥CD.∵AB ∩CD=M ,∴M ∈CD ,∴CM ∥BE ,∵BE ⊂平面PBE ,∴CM ∥平面PBE ,∵M ∈AB ,AB ⊂平面PAB ,∴M ∈平面PAB ,故在平面PAB 内可以找到一点M(M=AB ∩CD),使得直线CM ∥平面PBE. (II)如图所示,∵∠ADC=∠PAB=90°,异面直线PA 与CD 所成的角为90°,AB ∩CD=M ,∴AP ⊥平面ABCD.∴CD ⊥PD ,PA ⊥AD.因此∠PDA 是二面角P-CD-A 的平面角,大小为45°.∴PA=AD.不妨设AD=2,则BC=CD=12AD=1.∴P(0,0,2),E(0,1,0),C(-1,2,0), ∴EC uuu r =(-1,1,0),PE u u u r =(0,1,-2),AP u u u r =(0,0,2),设平面PCE 的法向量为n r =(x ,y ,z),则00n PE n EC ⎧⋅=⎪⎨⋅=⎪⎩r u u u r r u u u r ,,可得:200y z x y -=-+=⎧⎨⎩,.令y=2,则x=2,z=1,∴n r =(2,2,1).设直线PA 与平面PCE 所成角为θ,则sin θ=|cos <AP u u u r ,n r >|=13AP n AP n⋅==u u u r r u u u r r . 19.已知数列{a n }的首项为1,S n 为数列{a n }的前n 项和,S n+1=qS n+1,其中q >0,n ∈N *. (Ⅰ)若2a 2,a 3,a 2+2成等差数列,求a n 的通项公式;(Ⅱ)设双曲线222n y x a -=1的离心率为e n ,且e 2=53,证明:e 1+e 2+...+e n >1433n n n --. 解析:(Ⅰ)由条件利用等比数列的定义和性质,求得数列{an}为首项等于1、公比为q 的等比数列,再根据2a 2,a 3,a 2+2成等差数列求得公比q 的值,可得{a n }的通项公式.(Ⅱ)利用双曲线的定义和简单性质求得e n根据e 2=53=,求得q 的值,可得{a n }的解析式,再利用放缩法可得∴e n(43)n-1,从而证得不等式成立. 答案:(Ⅰ)∵S n+1=qS n+1①,∴当n ≥2时,S n =qS n-1+1 ②,两式相加你可得a n+1=q ·a n , 即从第二项开始,数列{a n }为等比数列,公比为q.当n=1时,∵数列{a n }的首项为1,∴a 1+a 2=S 2=q ·a 1+1,∴a 2=q=a 1·q ,∴数列{a n }为等比数列,公比为q.∵2a 2,a 3,a 2+2成等差数列,∴2q+q+2=2q 2,求得q=2,或 q=-12. 根据q >0,故取q=2,∴a n =2n-1,n ∈N *.(Ⅱ)设双曲线222ny x a -=1的离心率为e n ,∴e n=由于数列{a n }为首项等于1、公比为q 的等比数列,∴e 2=53=,q=43, ∴a n =(43)n-1,∴e n143n -=. ∴e 1+e 2+...+e n >1+43+(43)2+…+(43)n-1=1143314343n n n n ---=-⎛⎫ ⎪⎝⎭,原不等式得证.20.已知椭圆E :2222x y a b+=1(a >b >0)的两个焦点与短轴的一个端点是直角三角形的3个顶点,直线l :y=-x+3与椭圆E 有且只有一个公共点T.(Ⅰ)求椭圆E 的方程及点T 的坐标;(Ⅱ)设O 是坐标原点,直线l ′平行于OT ,与椭圆E 交于不同的两点A 、B ,且与直线l 交于点P.证明:存在常数λ,使得|PT|2=λ|PA|·|PB|,并求λ的值.解析:(Ⅰ)根据椭圆的短轴端点C 与左右焦点F 1、F 2构成等腰直角三角形,结合直线l 与椭圆E 只有一个交点,利用判别式△=0,即可求出椭圆E 的方程和点T 的坐标;(Ⅱ)设出点P 的坐标,根据l ′∥OT 写出l ′的参数方程,代人椭圆E 的方程中,整理得出方程,再根据参数的几何意义求出|PT|2、|PA|和|PB|,由|PT|2=λ|PA|·|PB|求出λ的值. 答案:(Ⅰ)设短轴一端点为C(0,b),左右焦点分别为F 1(-c ,0),F 2(c ,0),其中c >0,则c 2+b 2=a 2;由题意,△F 1F 2C 为直角三角形,∴|F 1F 2|2=|F 1C|2+|F 2C|2,解得b=c=2a ,∴椭圆E 的方程为22222x y b b +=1; 代人直线l :y=-x+3,可得3x 2-12x+18-2b 2=0,又直线l 与椭圆E 只有一个交点,则△=122-4×3(18-2b 2)=0,解得b 2=3, ∴椭圆E 的方程为2263x y +=1; 由b 2=3,解得x=2,则y=-x+3=1,所以点T 的坐标为(2,1);(Ⅱ)设P(x 0,3-x 0)在l 上,由k OT =12,l ′平行OT , 得l ′的参数方程为0023x x t y x t =+=-+⎧⎨⎩,,代人椭圆E 中,得(x 0+2t)2+2(3-x 0+t)2=6,整理得2t 2+4t+x 02-4x 0+4=0;设两根为t A ,t B ,则有t A ·t B =()2022x -;而|PT|2)2=2(x 0-2)2,A|,B|,且|PT|2=λ|PA|·|PB|,∴λ=2PTPA PB⋅=()()222245522xx-=-,即存在满足题意的λ值.21.设函数f(x)=ax2-a-lnx,其中a∈R. (Ⅰ)讨论f(x)的单调性;(Ⅱ)确定a的所有可能取值,使得f(x)>1x-e1-x在区间(1,+∞)内恒成立(e=2.718…为自然对数的底数).解析:(I)利用导数的运算法则得出f′(x),通过对a分类讨论,利用一元二次方程与一元二次不等式的关系即可判断出其单调性;(Ⅱ)令g(x)=f(x)-1x-e1-x=ax2-lnx-1x+e1-x-a,可得g(1)=0,从而g′(1)≥0,解得a≥12,当a≥12时,F′(x)=3112331222x xx xa e ex x x--+-+-+≥+,可得F′(x)在a≥12时恒大于0,即F(x)在x∈(1,+∞)单调递增.由F(x)>F(1)=2a-1≥0,可得g(x)也在x∈(1,+∞)单调递增,进而利用g(x)>g(1)=0,可得g(x)在x∈(1,+∞)上恒大于0,综合可得a所有可能取值.答案:(Ⅰ)由题意,f′(x)=21212axaxx x--=,x>0,①当a≤0时,2ax2-1≤0,f′(x)≤0,f(x)在(0,+∞)上单调递减.②当a>0时,f′(x)=2a x xx⎛⎝⎭⎝⎭,当x∈(0)时,f′(x)<0,当x∈,+∞)时,f′(x)>0,故f(x)在(0,12a)上单调递减,在+∞)上单调递增.(Ⅱ)原不等式等价于f(x)-1x+e1-x>0在x∈(1.+∞)上恒成立,一方面,令g(x)=f(x)-1x+e1-x=ax2-lnx-1x+e1-x-a,只需g(x)在x∈(1.+∞)上恒大于0即可,又∵g(1)=0,故g′(x)在x=1处必大于等于0.令F(x)=g′(x)=2ax-1x+21x-e1-x,g′(1)≥0,可得a≥12.另一方面,当a≥12时,F′(x)=3111232331212221x x xx xa e e ex x x x x---+-+-+≥+-+=+,∵x∈(1,+∞),故x3+x-2>0,又e1-x>0,故F′(x)在a≥12时恒大于0.∴当a≥12时,F(x)在x∈(1,+∞)单调递增.∴F(x)>F(1)=2a-1≥0,故g(x)也在x∈(1,+∞)单调递增. ∴g(x)>g(1)=0,即g(x)在x∈(1,+∞)上恒大于0.综上,a≥12.考试高分秘诀是什么?试试这四个方法,特别是中考和高考生谁都想在考试中取得优异的成绩,但要想取得优异的成绩,除了要掌握好相关的知识定理和方法技巧之外,更要学会一些考试技巧。
2016年普通高等学校招生全国统一考试理综(四川卷)
2016年普通高等学校招生全国统一考试理综(化学部分)试题(四川卷)1.化学与生产和生活密切相关。
下列过程中没有发生化学变化的是A.氯气作水杀菌消毒剂B.硅胶作袋装食品的干燥剂C.二氧化硫作纸浆的漂白剂D.肥皂水作蚊虫叮咬处的清洗剂【答案】B考点:化学变化和物理变化的判断2.根据下列实验操作和现象得出的结论正确的是选项实验操作现象结论A 将某溶液与稀盐酸反应产生的气体通入澄清石灰水石灰水变浑浊该溶液中一定含有CO32-B 常温下,将铁片浸入足量浓硫酸中铁片不溶解常温下,铁与浓硫酸钠一定没有发生化学反应C 向某食盐溶液中滴加淀粉溶液溶液颜色不变该食盐中一定没有添加碘酸钾D 向苯酚钠溶液中滴加乙酸溶液溶液变浑浊相同条件下,乙酸的酸性一定比苯酚强【答案】D【解析】试题分析:A、溶液中可能是碳酸氢根离子,故错误;B、铁在常温下在浓硫酸中钝化,发生了化学反应,故错误;C、碘酸钾和淀粉不反应,碘单质遇到淀粉显蓝色,故错误;D、苯酚钠和二氧化碳反应生成苯酚和碳酸氢钠,说明碳酸酸性比苯酚强,故正确。
考点:离子的检验,浓硫酸的性质,淀粉的性质,酸性的比较3.下列关于离子共存或离子反应的说法正确的是A.某无色溶液中可能大量存在H+、Cl-、MnO4-B.pH=2的溶液中可能大量存在Na+、NH4+、SiO32-C.Fe2+与H2O2在酸性溶液中的反应:2Fe2++H2O2+2H+=2Fe3++2H2OD.稀硫酸和氢氧化钡溶液反应:H++SO42-+Ba2++OH-=BaSO4↓+H2O【答案】C【解析】试题分析:A、MnO4-是紫色,故错误;B、硅酸根离子和氢离子反应生成硅酸沉淀,故错误;C、满足电子守恒和电荷守恒,故正确;D、氢离子和硫酸根离子比例应为2:1,故错误。
考点:离子方程式的判断4.N A为阿伏伽德罗常数的值。
下列说法正确的是A.2.4g镁在足量的氧气中燃烧,转移的电子数为0.1N AB.标准状况下,5.6L二氧化碳气体中含有的氧原子数为0.5N AC.氢原子数为0.4N A的甲醇分子中含有的σ键数为0.4N AD.0.1L0.5mol/LCH3COOH溶液中含有的氢离子数为0.05N A【答案】B【解析】试题分析:A、2.4g镁的物质的量为2.4/24=0.1mol,反应中失去0.2mol电子,故错误;B、标准状况下5.6L二氧化碳的物质的量为5.6/22.4=0.25mol,含有的氧原子为0.5mol,故正确;C、氢原子数为0.4N A的甲醇分子为0.1mol,含有5molσ键,故错误;D、醋酸是弱酸,不能完全电离,故错误。
四川卷2016高考真题四川答案
2016年普通高等学校全国统一考试英语(四川卷)参考答案第Ⅰ卷(选择题满分100 分)第一部分听力(1—20 小题,每小题 1.5 分,满分30 分)1.B 2.C 3.A 4.C 5.B6.A 7.C 8.A 9.B 10.C11.B 12.A 13.C 14.A 15.C16.B 17.A 18.C 19.A 20.B第二部分阅读理解(共两节,满分40 分)第一节(21—35 小题,每小题 2 分,满分30 分)21.C 22.C 23.B 24.B 25.C26.B 27.A 28.A 29.D 30.D31.A 32.B 33.D 34.A 35.D第二节(36—40 小题,每小题 2 分,满分10 分)36.A 37.G 38.D 39.C 40.E第三部分英语知识运用(共两节,满分45 分)第一节完形填空(41—60 小题,每小题1.5 分,满分30 分)41.D 42.B 43.C 44.A 45.D46.C 47.D 48.B 49.A 50.C51.A 52.A 53.B 54.D 55.A56.B 57.C 58.C 59.D 60.A第Ⅱ卷(非选择题满分50 分)第二节语法填空(61—70 小题,每小题1.5 分,满分15 分)61.is loved 62.Recently 63.caring/careful 64.to eat 65.enemies 66.When/If 67.for 68.its 69.drove 70.and第四部分写作(共两节,满分35 分)第一节短文改错(共10 小题;每小题 1 分,满分10 分)第二节书面表达(满分25 分)略。
2016年四川高考英语试题含答案,完整版
绝密★启用前2016年普通高等学校全国统一考试(四川卷)英语注意事项:1.本试卷分第I卷(选择题)和第II卷(非选择题)两部分。
2.考生务必将自己的姓名、考生号填写在答题卡上。
3.作答时,将答案写在答题卡上.写在本试卷上无效.4.考试结束后.将本试卷和答题卡一并交回。
第I卷第一部分听力(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个小题;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,从每题所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
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 Lucy do at 11:30 tomorrow?A. Go out for lunch。
B。
See her dentist. C. Visit a friend.2。
What is the weather like now?A。
It's sunny. B. It's rainy。
C. It’s cloudy。
3.Why does the man talk to Dr. Simpson?A。
To make an apology. B. To ask for help。
C。
To discuss his studies.4。
How will the woman get back from the railway station?5。
What does Jenny decide to do first?A。
Look for a job。
B。
Go on a trip。
D. Get an assistant.第二节(共15小题:每小题1.5分,满分22。
2016年高考四川卷英语试题(含答案)(20201006083041)
2016年普通高等学校全国统一考试(四川卷)英语第I卷第二部分阅读理解(共两节,满分40 分)第一节(共15小题;每小题 2 分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑。
ABasketball Statistician Help WantedThe Athletic Department is looking for students to help assist staff during the Fall 2016, Winter 2016-17 and Spring 2017 semesters. Students in this position will be keeping live statistics during basketball games. Students must meet all of the following requirements:Good computer skillsAvailable evenings and weekendsKnowing basketball rules and statisticsStudents interested in working for the Athletic Department should contact the Athletic Coordinator at their respective(各自的) campuses.TP/SS Athletic Coordinator, Michael Simone,240-567-1308Rockville Athletic Coordinator, Jorge Zuniga,240-567-7589Springfield Athletic coordinator, Gary Miller,240-567-2273Germantown Athletic Coordinator, Gavri Chavan, 240-567-691521. W hen will the job start?A .In May 2016B. In May 2017C.In September 2016D. In September201722. W ho is more likely to get job?A. Sam,English major ,member of the college basketball teamB. Judy,IT staff with night classes,children 's basketball team coachC. Ted,computer major, basketball fan,free on evenings and weekendsD.Molly,part_time programmer, high school basketball player ,new mother23. Whom should you con tact if you want to apply for the job in Rockville?A. MichaelB.JorgeC.GauriD.GaryBIf you could have one superpower, what would it be?Dream ing about whether you would want to read min ds, see through walls, or have superhuma n stre ngth may sound silly, but it actually gets to the heart of what really matters in your life.Every day in our work, we are in spired by the people we meet doing extraord inary thi ngs to improve the world.They have a different kind of superpower that all of us possess: the power to make a differe nee in the lives of others.We're not say ing that every one n eeds to con tribute their lives to the poor. Your lives are busy eno ugh doing homework, play ing sports, making frien ds, seek ing after your dreams. But we do think that you can live a more powerful life whe n you devote some of your time and en ergy to something much larger than yourself. Find an issue you are interested in and learn more. V olunteer or, if you can, con tribute a little money to a cause. Whatever you do, don 'be a bysta nder. Get in volved. You may have the opport unity to make your biggest differe nee whe n you 're older. But why not start now?Our own experience working together on health, development, and energy the last twenty years has been one of the most rewarding parts of our lives. It has changed who we are and continues to fuel our optimism about how much the lives of the poorest people will improve in the years ahead.24. What does the un derl ined part in Paragraph 2 refer to?A. Your life style.B. Your life value.C. Your trouble in life.D. Your life experie nce.25. Why does the author say they are in spired every day?A. They possess differe nt kinds of superpowers.B. They have got the power to cha nge the world.C. Some people around them are mak ing the world better.D. There are many powerful people in their life and work.26. What does the author stress in Paragraph 5?A. Learning more and contributing more to a cause.B. Rising above self and acting to help others.C. Working hard to get a bigger opportunity.D. Trying your best to help the poor.27. What can be inferred from the last paragraph?A. The author believes the lives of the poorest will get better.B. Much more progress will be made in the near future.C. The work on health is the most valuable experience.D. People 's efforts have been materially rewarded.CIn the depths of the French Guianese rainforest, there still remain unusual groups of indigenous (土著的) people. Surprisingly, these people live largely by their own laws and their own social customs. And yet, people in this area are in fact French citizens because it has been a colony(殖民地) of the French Republic since 1946. In theory, they should live by the French law is often ignored or unknown, thus making them into an interesting area of “lawlessness”in the world.The lives of these people have finally been recorded thanks to the effects of a Frenchman form Paris called Gin. Gin spent five months in early 2015 exploring the most remote corners of this area, which sits on the edge of the Amazon rainforest, with half its population of only 250,000 living in its capital, Cayenne.“I have a special love for the French Guianese people. I have worked there on and off for almost ten years,”says Gin. “I 've been able to keep firm friendships with them. Thus I have been allowed to gain access to their living environment. I don 'tsee it as a lawless land. But rather I see it as an area of freedom.”“I wanted to show the audience a photographic record touching upon the uncivilized life, ”continues Gin. “I prefer to work in black and white, which allows me to show different specific worlds more clearly. ”His black-and-white pictures present a world almost lost in time. These pictures show peopleseem in gly pushed into a world that they were un prepared for. These local citize ns now have to bala nee their traditi onal self-support ing hun ti ng lifestyle with the lifestyle offered by the moder n French Republic, which brings with it not only necessary state welfare, but also alcoholism, betrayal and even suicide.28. Why does the author feel surprised about the in dige nous people in French Guia na?A. They seldom follow the French law.B. They ofte n ignore the Guia nese law.C. They are separated from the moder n world.D. They are both Guia nese and French citize ns.29. Gin in troduced the special world of the in dige nous Guia nese as _____ .A. a tour guideB. a geographerC. a film directorD. a photographer30. What is Gin 'attitude towards the lives of the in dige nous Guia nese?A. Cautious.B. Doubtful.C. Unin terested.D. Appreciative.31. What does the underlined word “" in the last paragraph refer to?A. The moder n French lifestyle.B. The self-support ing hun ti ng.C. The un civilized hun ti ng.D. The French Republic.DA warm drink of milk before bed has long been the best choice for those wanting a good night ' sleep. But now a study has found it really does help people nod off —if it is milked from a cow at ni ght.Researchers have discovered that night milk ” contains more melatonin(褪黑激素),which has bee n prove n to help people feel sleepy and reduce an xiety.The study, by researchers from Seoul, South Korea, involved mice being fed with dried milk powder made from cows milked both during the day and at night.Those given night milk, which contained 10 times the amount of melatonin, were less active and less anxious than those fed with the milk collected during daytime, according to the study published in The Journal of Medicinal Food .Night milk quickened the start of sleep and caused the mice to sleep longer.While the effect of cows milk harvested at different time has not been tested on humans up to now, taking melatonin drugs has been suggested to those who are struggling to fall asleep at night.Previous studies have also indicated that milk can be excellent for helping sleep because of the calcium content, which helps people to relax.Milk is also sugar-free and additive-free with nutritionists recommending skimmed milk as the best choice before bed as it is the least fattening. The more fat you take in before bedtime, the greater burden you will put on your body at night.32. According to the text, the mice fed with daytime milk _____.A. started sleep more easilyB. were more anxiousC. were less activeD. woke up later33. Which of the following is true of melatonin according to the text?A. It 's been tested on mice for ten times.B. It can make people more energetic.C. It exists in milk in great amount.D. It 's used in sleeping drugs.34. W hat can be a suitable title for the text?A. Night Milk and SleepB. Fat, Sugar and HealthC. An Experiment on MiceD. Milk Drinking and Health35. How does the author support the theme of the text?A. By giving examples.B. By stat ing argume nts.C. By expla ining statistical data.D. By provid ing research results.第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
2016年普通高等学校招生全国统一考试理综试题(四川卷,含答案)
绝密★启封并使用完毕前试题类型:2016年普通高等学校招生全国统一考试理科综合注意事项:1.本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
2.答题前,考生务必将自己的姓名、准考证号填写在本试题相应的位置。
3.全部答案在答题卡上完成,答在本试题上无效。
4.考试结束后,将本试题和答题卡一并交回。
第I卷(选择题共42分)一、选择题(共7小题,每小题5分,共42分。
每小题给出的四个选项中,有的只有一个选项、有的有多个选项符合题目要求,全部选对的得6分,选对但不全的得3分,有选错的得0分。
)1. 韩晓鹏是我国首位在冬奥会雪上项目夺冠的运动员。
他在一次自由式化学空中技巧比赛中沿“助滑区”保持同一姿态下滑了一段距离,重力对他做功1900J,他克服阻力做功100J。
韩晓鹏在此过程中A. 动能增加了1900JB. 动能增加了2000JC. 动力势能减小了1900JD. 动力势能减小了2000J2. 如图所示,接在家庭电路上的理想降压变压器给小灯泡L供电,如果将原、副线圈减少相同匝数,其它条件不变,则A. 小灯泡变亮B. 小灯泡变暗C. 原、副线圈两段电压的比值不变D. 通过原、副线圈电流的比值不变3. 国务院批复,自2016年起将4月24日设立为“中国航天日”。
1970年4月24日我国首次成功发射的人造卫星东方红一号,目前仍然在椭圆轨道上运行,其轨道近地点高度约为440 km,远地点高度约为2060 km;1984年4月8日成功发射的东方红二号卫星运行在赤道上空35786 km的地球同步轨道上。
设动荡红一号在远地点的加速度为a1,东方红二号的加速度为a2,固定在地球赤道上的物体随地球自转的加速度为a3,则a1、a2、a3的大小关系为A.a2>a1>a3B. a3>a2>a1C. a3>a1>a2D. a1>a2>a34.如图所示,正六边形abcdef区域内有垂直于纸面的匀强磁场。
一带正电的粒子从f点沿fd方向射入磁场区域,当速度大小为v b时,从b点离开磁场,在磁场中运动的时间为t b,当速度大小为v c时,从c点离开磁场,在磁场中运动的时间为t c,不计粒子重力。
2016年高考四川理综试题及答案解析(物理精编版)
2016年普通高等学校招生全国统一考试(四川)理科综合能力测试(物理)第Ⅰ卷(选择题 共42分)一、选择题(本题共7小题,每小题6分,共42分。
在每小题给出的四个选项中,有的只有一个选项,有的有多个选项符合题目要求,全部选对的得6分,选对但不全的得3分,有选错的得0分)1.【2016年四川,1,6分】韩晓鹏是我国首位在冬奥会雪上项目夺冠的运动员。
他在一次自由式化学空中技巧 比赛中沿“助滑区”保持同一姿态下滑了一段距离,重力对他做功1900J ,他克服阻力做功100J 。
韩晓鹏在 此过程中( )A .动能增加了1900JB .动能增加了2000JC .重力势能减小了1900JD .重力势能减小了2000J【答案】C【解析】根据动能定理动能增量等于合外力的功,即动能增量为1900J 100J 1800J -=,选项AB 错误;重力做功等于重力势能的变化量,故重力势能减小了1900J ,故选C 。
【点评】此题是对功能关系的考查;关键是搞清功与能的对应关系:合外力的功等于动能的变化量;重力做功等于重力势能的变化量;除重力以外的其它力做功等于机械能的变化量。
2.【2016年四川,2,6分】如图所示,接在家庭电路上的理想降压变压器给小灯泡L 供电,如 果将原、副线圈减少相同匝数,其它条件不变,则( )A .小灯泡变亮B .小灯泡变暗C .原、副线圈两段电压的比值不变D .通过原、副线圈电流的比值不变【答案】B 【解析】根据变压器电压与匝数关系,1122U n U n =,因为是降压变压器,则12n n >,则当原、副线圈减小相同匝数时,有数学知识可知12n n 变大,则2U 减小,故灯泡变暗,选项AC 错误,B 正确;根据1221I n I n =可知通过原、副线圈电流的比值变小,选项D 错误,故选B 。
【点评】此题是对变压器原理的考查;首先要记住原副线圈的电压与匝数关系1122U n U n =,从题目中知道为降压变压器,原线圈匝数大于副线圈匝数;判断原副线圈减小相同的匝数时原副线圈的匝数比的变化要用到数学知识,这里稍微有点难度。
2016高考英语四川真题与答案.docx
26.What does the author stress in Paragraph 5?
A.Learning more and contributing more to a cause.
B.Rising above self and acting to help others.
C.Working hard to get a bigger opportunity.
theAthlຫໍສະໝຸດ ticCoordinator at their respective(
各自的) campuses.
学科.网
TP/SS Athletic Coordinator, Michael Simone,240-567-1308
Rockville Athletic Coordinator, Jorge Zuniga,240-567-7589
A.They possess different kinds of superpowers.
B.They have got the power to change the world.
C.Some people around them are making the world better.
D.There are many powerful people in their life and work.
【英语】2016年高考真题——四川卷(解析版)
绝密★启用前2016年普通高等学校全国统一考试(四川卷)英语注意事项:1.本试卷分第I卷(选择题)和第II卷(非选择题)两部分。
2.考生务必将自己的姓名、考生号填写在答题卡上。
3.作答时,将答案写在答题卡上。
写在本试卷上无效。
4.考试结束后.将本试卷和答题卡一并交回。
第I卷第一部分: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个小题;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,从每题所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
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 Lucy do at 11:30 tomorrow?A. Go out for lunch.B. See her dentist.C. Visit a friend.2. What is the weather like now?A. It’s sunny.B. It’s rainy.C. It’s cloudy.3. Why does the man talk to Dr. Simpson?A.To make an apology.B. To ask for help.C. To discuss his studies.4. How will the woman get back from the railway station?5. What does Jenny decide to do first?A. Look for a job.B. Go on a trip. D. Get an assistant.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。
2016年四川英语高考试题(含答案)
2016年普通高等学校全国统一考试(四川卷)英语注意事项:1.本试卷分第I卷(选择题)和第II卷(非选择题)两部分。
2.考生务必将自己的姓名、考生号填写在答题卡上。
3.作答时,将答案写在答题卡上。
写在本试卷上无效。
4.考试结束后.将本试卷和答题卡一并交回。
第I卷第一部分听力(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个小题;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,从每题所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
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 Lucy do at 11:30 tomorrow?A. Go out for lunch.B. See her dentist.C. Visit a friend.2. What is the weather like now?A.It’s sunny.B. It’s rainy.C. It’s cloudy.3.Why does the man talk to Dr. Simpson?A.To make an apology.B. To ask for help.C. To discuss his studies.4.How will the woman get back from the railway station?5.What does Jenny decide to do first?A.Look for a job.B. Go on a trip. D. Get an assistant.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。
2016年普通高等学校招生全国统一考试(四川卷)答案
2 x1 1 x12 2 x1 1 x12 1 P , ln x . ∵ x 1 ,∴ S y y x 1,∴0 S△PAB 1 . 1 1 △PAB A B P 2 1 x12 2 1 x12 1 x12 1 x1
2
5 f 2
1 f 2 2
1 f f 2
1 2 4 2 ,所以 2
1
5 f f (2) 2 . 2
【提示】利用周期性 f ( x) f ( x T ) ,化函数值的自变量到已知区间或相邻区间,如果是相邻区间,再利 用奇偶性转化到已知区间上,由函数式求值即可. 【考点】函数的奇偶性,函数的周期性. 15.【答案】②③
2
49 4
2/9
【提示】首先对条件进行化简变形,得出 ADC ADB BDC 120 ,且 DA DB DC 2 ,因此
采用解析法,即建立直角坐标系,写出点 A,B,C,D 的坐标,同时动点 P 的轨迹是圆,则 2 ( x 1) 2 ( y 3 3) 2 ,因此可用圆的性质得出最值. BM 4 【考点】向量的夹角,解析几何中与圆有关的最值问题. 10.【答案】A
【提示】先设出切点坐标,利用切线垂直求出这两点横坐标的关系,同时得出切线方程,从而得点 A, B 的 坐标,由两直线相交得出 P 点坐标,从而求得面积,把面积用 x1 表示后,可得面积的取值范围. 【考点】导数的几何意义,两直线的垂直关系,直线方程的应用,三角形面积的取值范围.
第 Ⅱ卷
二、填空题 11.【答案】
y ln x1
1 1 1 ( x x1 ) ,切线 l2 的方程为 y ln x2 ( x x2 ) ,即 y ln x1 x1 x . 分别令 x 0 得 x1 x2 x1
2016年普通高等学校招生全国统一考试 试卷及答案(极品word版)
2016年普通高等学校招生全国统一考试理科数学注意事项: 1.本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分.第Ⅰ卷1至3页,第Ⅱ卷3至5页. 2.答题前,考生务必将自己的姓名、准考证号填写在本试题相应的位置. 3.全部答案在答题卡上完成,答在本试题上无效. 4.考试结束后,将本试题和答题卡一并交回.第Ⅰ卷一. 选择题:本大题共12小题,每小题5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2{|430}A x x x =-+<,{|230}B x x =->,则A B = ( ) (A )3(3,)2--(B )3(3,)2-(C )3(1,)2(D )3(,3)2(2)设(1i)1i x y +=+,其中x y ,是实数,则i =x y +( )(A )1(B C D )2(3)已知等差数列{}n a 前9项的和为27,10=8a ,则100=a ( )(A )100(B )99(C )98(D )97(4)某公司的班车在7:00,8:00,8:30发车,小明在7:50至8:30之间到达发车站乘坐班车,且到达发车站的时刻是随机的,则他等车时间不超过10分钟的概率是( ) (A )13(B )12(C )23(D )34(5)已知方程222213x y m n m n+=+-表示双曲线,且该双曲线两焦点间的距离为4,则n 的取值范围是( )(A )(–1,3) (B )(–1,3) (C )(0,3) (D )(0,3)(6)如图,某几何体的三视图是三个半径相等的圆及每个圆中两条相互垂直的半径.若该几何体的体积是283π,则它的表面积是( ) (A )17π(B )18π(C )20π(D )28π(7)函数y =2x 2–e |x |在[–2,2]的图像大致为( )(A )(B )(C )(D )(8)若101a b c >><<,,则( ) (A )c c a b <(B )c cab ba <(C )log log b a a c b c <(D )log log a b c c <(9)执行下面的程序图,如果输入的011x y n ===,,,则输出x ,y 的值满足( ) (A )2y x =(B )3y x =(C )4y x =(D )5y x =(10)以抛物线C 的顶点为圆心的圆交C 于A 、B 两点,交C 的准线于D 、E 两点.已知|AB |=|DE|=C 的焦点到准线的距离为( ) (A)2 (B)4 (C)6 (D)8(11)平面α过正方体ABCD -A 1B 1C 1D 1的顶点1A ,α//平面CB 1D 1,α⋂平面ABCD =m ,α⋂平面ABB 1A 1=n ,则m 、n 所成角的正弦值为( )(B (D)13 (12).已知函数()s i n ()(0),24f x x+x ππωϕωϕ=>≤=-,为()f x 的零点,4x π=为()y f x =图像的对称轴,且()f x 在51836ππ⎛⎫⎪⎝⎭,单调,则ω的最大值为( )(A )11 (B )9 (C )7 (D )5第II 卷本卷包括必考题和选考题两部分.第(13)题~第(21)题为必考题,每个试题考生都必须作答.第(22)题~第(24)题为选考题,考生根据要求作答. 二、填空题:本大题共3小题,每小题5分(13)设向量a =(m ,1),b =(1,2),且|a +b |2=|a |2+|b |2,则m =.(14)5(2x 的展开式中,x 3的系数是.(用数字填写答案)(15)设等比数列满足a 1+a 3=10,a 2+a 4=5,则a 1a 2…a n 的最大值为。
【精校版】2016年高考真题四川卷理科化学试题(含答案)
2016四川卷理科化学总分数 100分时长:90分钟题型单选题综合题题量7 4总分42 58第Ⅰ卷(共7题 ,总计42分)1.(6分)化学与生产和生活密切相关。
下列过程中没有发生化学变化的是( )A. 氯气作水的杀菌消毒剂B. 硅胶作袋装食品的干燥剂C. 二氧化硫作纸浆的漂白剂D. 肥皂水作蚊虫叮咬处的清洗剂2.(6分)根据下列实验操作和现象得出的结论正确的是( )A. AB. BC. CD. D3.(6分)下列关于离子共存或离子反应的说法正确的是( )A. 某无色溶液中可能大量存在H+、Cl-、MnO4-B. pH=2的溶液中可能大量存在Na+、NH4+、SiO32-C. Fe2+与H2O2在酸性溶液中的反应:2Fe2++H2O2+2H+ =2Fe3++2H2OD. 稀硫酸与Ba(OH)2溶液的反应:H++SO42- +Ba2++OH-=BaSO4↓+H2O4.(6分)N A为阿伏加德罗常数的值。
下列说法正确的是( )A. 2.4 g Mg在足量O2中燃烧,转移的电子数为0.1N AB. 标准状况下,5.6 L CO2气体中含有的氧原子数为0.5N AC. 氢原子数为0.4N A的CH3OH分子中含有的σ键数为0.4N AD. 0.1 L 0.5 mol/L CH3COOH溶液中含有的H+数为0.05N A5.(6分)某电动汽车配载一种可充放电的锂离子电池,放电时电池总反应为Li1-x CoO2+Li x C6 =LiCoO2+C6(x<1)。
下列关于该电池的说法不正确的是( )A. 放电时,Li+在电解质中由负极向正极迁移B. 放电时,负极的电极反应式为Li x C6-xe-=xLi++C6C. 充电时,若转移1 mol e-,石墨(C6)电极将增重7x gD. 充电时,阳极的电极反应式为LiCoO2-xe- =Li1-x CoO2+xLi+6.(6分)一定条件下,CH4与H2O(g)发生反应:CH4(g)+H2O(g)CO(g)+3H2(g)。
【英语】2016年高考真题——四川卷(精校解析版)
2016年普通高等学校招生全国统一考试(四川卷)第Ⅰ卷第一部分听力(共两节,满分30分)略第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项。
ABasketball Statistician Help WantedThe Athletic Department is looking for students to help assist staff during the Fall 2016,Winter 2016-17 and Spring 2017 semesters.Students in this position will be keeping live statistics during basketball games.Students must meet all of the following requirements:•G ood computer skills•Available evenings and weekends•Knowing basketball rules and statisticsStudents interested in working for the Athletic Department should contact the Athletic Coordinator at their respective(各自的) campuses.•TP/SSAthleticCoordinator,MichaelSimone,240-567-1308•RockvilleAthleticCoordinator,JorgeZuniga,240-567-7589•SpringfieldAthleticCoordinator,GaryMiller,240-567-2273•GermantownAthleticCoordinator,GauriChavan,240-567-691521.When will the job start?A.In May 2016. B.In May 2017.C.In September 2016. D.In September 2017.22.Who is more likely to get the job?A.Sam,English major,member of the college basketball team.B.Judy,IT staff with night classes,children’s basketball team coach.C.Ted,computer major,basketball fan,free on evenings and weekends.D.Molly,part-time programmer,high school basketball player,new mother.23.Whom should you contact if you want to apply for the job in Rockville?A.Michael. B.Jorge.C.Gauri. D.Gary.BIf you could have one superpower,what would it be?Dreaming about whether you would want to read minds,see through walls,or havesuperhuman strength may sound silly,but it actually gets to the heart of what really matters in your life.Every day in our work,we are inspired by the people we meet doing extraordinary things to improve the world.They have a different kind of superpower that all of us possess: the power to make a difference in the lives of others.We’re not saying that everyone needs to contribute their lives to the poor.Your lives are busy enough doing homework,playing sports,making friends,seeking after your dreams.But we do think that you can live a more powerful life when you devote some of your time and energy to something much larger than yourself.Find an issue you are interested in and learn more.V olunteer or,if you can,contribute a little money to a cause.Whatever you do,don’t be a bystander.Get involved.You may have the opportunity to make your biggest difference when you’re older.But why not start now?Our own experience working together on health,development,and energy the last twenty years has been one of the most rewarding parts of our lives.It has changed who we are and continues to fuel our optimism about how much the lives of the poorest people will improve in the years ahead.24.What does the underlined part in Paragraph 2 refer to?A.Your life style. B.Your life value.C.Your trouble in life. D.Your life experience.25.Why does the author say they are inspired every day?A.They possess different kinds of superpowers.B.They have got the power to change the world.C.Some people around them are making the world better.D.There are many powerful people in their life and work.26.What does the author stress in Paragraph 5?A.Learning more and contributing more to a cause.B.Rising above self and acting to help others.C.Working hard to get a bigger opportunity.D.Trying your best to help the poor.27.What can be inferred from the last paragraph?A.The author believes the lives of the poorest will get better.B.Much more progress will be made in the near future.C.The work on health is the most valuable experience.D.People’s efforts have been materially rewarded.CIn the depths of the French Guianese rainforest,there still remain unusual groups of indigenous(土著的) people.Surprisingly,these people live largely by their own laws and their own social customs.And yet,people in this area are in fact French citizens because it has been a colony(殖民地) of the French Republic since 1946.In theory,they should live by the French law.However,their remote locations mean that the French law is often ignored or unknown,thus making them into an interesting area of “lawlessness” in the world.The lives of these people have finally been recorded thanks to the effects of a Frenchman from Paris called Gin.Gin spent five months in early 2015 exploring the most remote corners of this area,which sits on the edge of the Amazon-rainforest,with half its population of only 250,000 living in its capital,Cayenne.“I have a special love for the French Guianese people.I have worked there on and off for almost ten years,” says Gin.“I’ve been able to keep firm friendships with them.Thus I have been allowed to gain access to their living environment.I don’t see it as a lawless land.But rather I see it as an area of freedom.”“I wanted to show the audience a photographic record touching upon the uncivilized life,” continues Gin.“I prefer to work in black and white,which allows me to show different specific worlds more clearly.”His black-and-white pictures present a world almost lost in time.These pictures show people seemingly pushed into a world that they were unprepared for.These local citizens now have to balance their traditional self-supporting hunting lifestyle with the lifestyle offered by the modern French Republic,which brings with it not only necessary state welfare,but also alcoholism,betrayal and even suicide.28.Why does the author feel surprised about the indigenous people in French Guiana? A.They seldom follow the French law.B.They often ignore the Guianese law.C.They are separated from the modern world.D.They are both Guianese and French citizens.29.Gin introduces the special world of the indigenous Guianese as .A.a tour guide B.a geographerC.a film director D.a photographer30.What is Gin’s attitude towards the lives of the indigenous Guianese?A.Cautious. B.Doubtful.C.Uninterested. D.Appreciative.31.What does the underlined word “it” in the last paragraph refer to?A.The modern French lifestyle.B.The self-supporting hunting.C.The uncivilized world.D.The French Republic.DA warm drink of milk before bed has long been the best choice for those wanting a good night’s sleep.But now a study has found it really does help people nod off—if it is milked from a cow at night.Researchers have discovered that “night milk” contains more melatonin(褪黑激素),which has been proven to help people feel sleepy and reduce anxiety.The study,by researchers from Seoul,South Korea,involved mice being fed with dried milk powder made from cows milked both during the day and at night.Those given night milk,which contained 10 times the amount of melatonin,were less active and less anxious than those fed with the milk collected during daytime,according to the study published in TheJournalofMedicinalFood.Night milk quickened the start of sleep and caused the mice to sleep longer.While the effect of cows milk harvested at different time has not been tested on humans up to now,taking melatonin drugs has been suggested to those who are struggling to fall asleep at night.Previous studies have also indicated that milk can be excellent for helping sleep because of the calcium content,which helps people to relax.Milk is also sugar-free and additive-free with nutritionists recommending skimmed milk as the best choice before bed as it is the least fattening.The more fat you take in before bedtime,the greater burden you will put on your body at night.32.According to the text,the mice fed with daytime milk.A.started sleep more easilyB.were more anxiousC.were less activeD.woke up later33.Which of the following is true of melatonin according to the text?A.It’s been tested on mice for ten times.B.It can make people more energetic.C.It exists in milk in great amount.D.It’s used in sleeping drugs.34.What can be a suitable title for the text?A.Night Milk and SleepB.Fat,Sugar and HealthC.An Experiment on MiceD.Milk Drinking and Health35.How does the author support the theme of the text?A.By giving examples.B.By stating arguments.C.By explaining statistical data.D.By providing research results.第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
2016年普通高等学校全国统一考试(四川卷)_最新修正版
2016年普通高等学校全国统一考试(四川卷)英语注意事项:1.本试卷分第I卷(选择题)和第II卷(非选择题)两部分。
2.考生务必将自己的姓名、考生号填写在答题卡上。
3.作答时,将答案写在答题卡上。
写在本试卷上无效。
4.考试结束后.将本试卷和答题卡一并交回。
第I卷第一部分听力(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个小题;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,从每题所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
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 Lucy do at 11:30 tomorrow?A. Go out for lunch.B. See her dentist.C. Visit a friend.2. What is the weather like now?A. It’s sunny.B. It’s rainy.C. It’s cloudy.3. Why does the man talk to Dr. Simpson?A.To make an apology.B. To ask for help.C. To discuss his studies.4. How will the woman get back from the railway station?5. What does Jenny decide to do first?A. Look for a job.B. Go on a trip. D. Get an assistant.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。
2016年普通高等学校招生全国统一考试(四川卷)理(精校解析)
2016年普通高等学校招生全国统一考试(四川卷)数学(理工类)一、选择题:本大题共10 小题,每小题5 分,共50 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.【题设】设集合,Z 为整数集,则中元素的个数是(A)3 (B)4 (C)5 (D)6【答案】C【解析】试题分析:由题意,,故其中的元素个数为5,选C.考点:集合中交集的运算.2. 【题设】设i 为虚数单位,则的展开式中含x4 的项为(A)-15x4 (B)15x4 (C)-20i x4 (D)20i x4【答案】A考点:二项展开式,复数的运算.3. 【题设】为了得到函数的图象,只需把函数的图象上所有的点(A)向左平行移动个单位长度(B)向右平行移动个单位长度(C)向左平行移动个单位长度(D)向右平行移动个单位长度【答案】D【解析】试题分析:由题意,为得到函数,只需把函数的图像上所有点向右移个单位,故选D.考点:三角函数图像的平移.4. 【题设】用数字1,2,3,4,5 组成没有重复数字的五位数,其中奇数的个数为(A)24 (B)48 (C)60 (D)72【答案】D【解析】试题分析:由题意,要组成没有重复的五位奇数,则个位数应该为1、3、5,其他位置共有,所以其中奇数的个数为,故选D. 学科.网考点:排列、组合5. 【题设】某公司为激励创新,计划逐年加大研发资金投入.若该公司2015 年全年投入研发资金130 万元,在此基础上,每年投入的研发资金比上一年增长12%,则该公司全年投入的研发资金开始超过200 万元的年份是(参考数据:lg 1.12≈0.05,lg 1.3≈0.11,lg2≈0.30)(A)2018 年(B)2019 年(C)2020 年(D)2021 年【答案】B考点:等比数列的应用.6. 【题设】秦九韶是我国南宋使其的数学家,普州(现四川省安岳县)人,他在所著的《数书九章》中提出的多项式求值的秦九韶算法,至今仍是比较先进的算法.如图所示的程序框图给出了利用秦九韶算法求某多项式值的一个实例,若输入n,x 的值分别为3,2,则输出v 的值为【答案】B7. 【题设】设p:实数x,y 满足(x–1)2–(y–1)2≤2,q:实数x,y 满足则p 是q 的(A)必要不充分条件(B)充分不必要条件(C)充要条件(D)既不充分也不必要条件【答案】A【解析】试题分析:画出可行域(如图所示),可知命题q 中不等式组表示的平面区域在命题p 中不等式表示的圆盘内,故选A.考点:1.充分条件、必要条件的判断;2.线性规划.8. 【题设】设O 为坐标原点,P 是以F 为焦点的抛物线上任意一点,M 是线段PF 上的点,且=2 ,则直线OM 的斜率的最大值为(A)(B)(C)(D)1【答案】C【解析】试题分析:设(不妨设),则,故选C.考点:1.抛物线的简单的几何性质;2.平面向量的线性运算.9. 【题设】设直线l1,l2 分别是函数f(x)= 图象上点P1,P2 处的切线,l1与l2 垂直相交于点P,且l1,l2 分别与y 轴相交于点A,B,则△PAB 的面积的取值范围是(A)(0,1) (B)(0,2) (C)(0,+∞) (D)(1,+∞)【答案】A考点:1.导数的几何意义;2.两直线垂直关系;3.直线方程的应用;4.三角形面积取值范围.10. 【题设】在平面内,定点A,B,C,D 满足= = , ﹒= ﹒= ﹒=-2,动点P,M 满足=1,= ,则的最大值是(A)(B)(C)(D)【答案】B【解析】试题分析:甴已知易得.以为原点,直线为轴建立平面直角坐标系,则设由已知,得,又,它表示圆上点与点距离平方的,,故选B。
2016年普通高等学校全国统一考试(四川卷)最新修正版
2016年普通高等学校全国统一考试(四川卷)英语注意事项:1.本试卷分第I卷(选择题)和第II卷(非选择题)两部分。
2.考生务必将自己的姓名、考生号填写在答题卡上。
3.作答时,将答案写在答题卡上。
写在本试卷上无效。
4.考试结束后.将本试卷和答题卡一并交回。
第I卷第一部分听力(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个小题;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,从每题所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
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 Lucy do at 11:30 tomorrow?A. Go out for lunch.B. See her dentist.C. Visit a friend.2. What is the weather like now?A. It’s sunny.B. It’s rainy.C. It’s cloudy.3. Why does the man talk to Dr. Simpson?A.To make an apology.B. To ask for help.C. To discuss his studies.4. How will the woman get back from the railway station?5. What does Jenny decide to do first?A. Look for a job.B. Go on a trip. D. Get an assistant.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。
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绝密★启用前2016年普通高等学校全国统一考试(四川卷)英语注意事项:1. 本试卷分第I卷选择题(含听力)和第II卷非选择题两部分。
2. 考生务必将自己的姓名、准考证号写在答题卡上。
3. 作答时,务必将答案写在答题卡上。
写在本试题上无效。
4. 考试结束后,将本试题卷和答题卡和草稿纸一并上交。
第I卷第一部分听力(共两节,满分30分)第一节(共5个小题;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,从每题所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
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 Lucy do at 11:30 tomorrow?A. Go out for lunch.B. See her dentist.C. Visit a friend.2. What is the weather like now?A.It’s sunny.B. It’s rainy.C. It’s cloudy.3.Why does the man talk to Dr. Simpson?A.To make an apology.B. To ask for help.C. To discuss his studies.4.How will the woman get back from the railway station?A.By trainB. By carC. By bus5.What does Jenny decide to do first?A.Look for a job.B. Go on a trip.C. Get an assistant.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。
每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
请听第6段材料,回答6、7题。
6. What time is it now?A. 1:45.B. 2:10.C. 2:15.7. What will the man do?A. Work on a project.B. See Linda in the library.C. Meet with Professor Smith.请听第7段材料,回答第8至10题。
8. What are the speakers talking about?A. Having guests this weekend.B. Going out for sightseeing.C. Moving into a new house.9. What is the relationship between the speakers?A. Neighbors.B. Husband and wife.C. Host and visitor.10. What will the man do tomorrow?A. Work in his garden.B. Have a barbecue.C. Do some shopping.请听第8段材料,回答第11至13题。
11.Where was the man born ?A.In Philadelphia.B.In Springfield.C.In Kansas.12.What did the man like doing when he was a child?A. Drawing.B. Traveling.C. Reading.13.What inspires the man most in his work?cation.B. Family love.C. Nature请听第9段材料,回答第14至17题。
14.Why is Dorothy going to Europe?A.Toattend a training program.B.Tocarry out some research.C.To take a vacation.15.How long will Dorothy stay in Europe?A. A few daysB. Two weeksC. Three months16.What does Dorothy think of her apartment?A.It’s expensiveB.It’s satisfactory.C. It’s inconvenient17.What does Bill offer to do for Dorothy?A. Recommend her apartment to him.B. Find a new apartment for her.C. Take care of her apartment请听第10段材料,回答第18至20题。
18. What are the tourists advised to do when touring London?A. Take their tour schedule.B. Watch out for the traffic.C. Wear comfortable shoes.19. What will the tourists do in fifteen minutes?A. Meet the speaker.B. Go to their rooms.C. Change some money.20. Where probably is the speaker?A. In a park.B. In a hotel.C. In a shopping centre.第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑。
ABasketball Statistician Help WantedThe Athletic Department is looking for students to help assist staff during the Fall 2016, Winter 2016-17 and Spring 2017 semesters. Students in this position will be keeping live statisticsduring basketball games. Students must meet all of the following requirements:●Good computer skills●Available evenings and weekends●Knowing basketball rules and statisticsStudents interested in working for the Athletic Department should contact the Athletic Coordinator at their respective(各自的) campuses.●TP/SS Athletic Coordinator, Michael Simone, 240-567-1308●Rockville Athletic Coordinator, Jorge Zuniga,240-567-7589●Springfield Athletic coordinator, Gary Miller,240-567-2273●Germantown Athletic Coordinator, Gauri Chavan, 240-567-691521.When will the job start?A .In May 2016 B. In May 2017C. In September 2016D. In September201722. Who is more likely to get the job?A. Sam, English major, member of the college basketball team.B. Judy, IT staff with night classes, children’s baske tball team coach.C. Ted, computer major, basketball fan, free on evenings and weekends.D. Molly, part-time programmer, high school basketball player, new mother.23. Whom should you contact if you want to apply for the job in Rockville?A. MichaelB. JorgeC.GauriD.GaryBIf you could have one superpower, what would it be?Dreaming about whether you would want to read minds, see through walls, or have superhuman strength may sound silly, but it actually gets to the heart of what really matters in your life.Every day in our work, we are inspired by the people we meet doing extraordinary things to improve the world.They have a different kind of superpower that all of us possess: the power to make a difference in the lives of others.We’re not saying that everyone needs to contribute their lives to the poor. Your lives are busyenough doing homework, playing sports, making friends, seeking after your dreams. But we do think that you can live a more powerful life when you devote some of your time and energy to something much larger than yourself. Find an issue you are interested in and learn more. V olunteer or, if you can, contribute a little money to a cause. Whatever you do, don’t be a bystander. Get involved. You may have the opportunity t o make your biggest difference when you’re older. But why not start now?Our own experience working together on health, development, and energy the last twenty years has been one of the most rewarding parts of our lives. It has changed who we are and continues to fuel our optimism about how much the lives of the poorest people will improve in the years ahead.24. What does the underlined part in Paragraph 2 refer to?A. Your life style.B. Your life value.C. Your trouble in life.D. Your life experience.25. Why does the author say they are inspired every day?A. They possess different kinds of superpowers.B. They have got the power to change the world.C. Some people around them are making the world better.D. There are many powerful people in their life and work.26. What does the author stress in Paragraph 5?A. Learning more and contributing more to a cause.B. Rising above self and acting to help others.C. Working hard to get a bigger opportunity.D. Trying your best to help the poor.27. What can be inferred from the last paragraph?A. The author believes the lives of the poorest will get better.B. Much more progress will be made in the near future.C. The work on health is the most valuable experience.D. People’s efforts have been materially reward ed.CIn the depths of the French Guianese rainforest, there still remain unusual groups of indigenous(土著的) people. Surprisingly, these people live largely by their own laws and their own social customs. And yet, people in this area are in fact French citizens because it has been a colony(殖民地) of the French Republic since 1946. In theory, they should live by the French law. However, their remote locations mean that the French law is often ignored or unknown, thus making them into an interesting area of “lawlessness” in the world.The lives of these people have finally been recorded thanks to the effects of a Frenchman form Paris called Gin. Gin spent five months in early 2015 exploring the most remote corners of this area, which sits on the edge of the Amazon rainforest, with half its population of only 250,000 living in its capital, Cayenne.“I have a specia l love for the French Guianese people. I have worked there on and off for almost ten years,” says Gin. “I’ve been able to keep firm friendships with them. Thus I have been allowed to gain access to their living environment. I don’t see it as a lawless land. But rather I see it as an area of freedom.”“I wanted to show the audience a photographic record touching upon the uncivilized life,” continues Gin. “I prefer to work in black and white, which allows me to show different specific worlds more clearly.”His black-and-white pictures present a world almost lost in time. These pictures show people seemingly pushed into a world that they were unprepared for. These local citizens now have to balance their traditional self-supporting hunting lifestyle with the lifestyle offered by the modern French Republic, which brings with it not only necessary state welfare, but also alcoholism, betrayal and even suicide.28. Why does the author feel surprised about the indigenous people in French Guiana?A. They seldom follow the French law.B. They often ignore the Guianese law.C. They are separated from the modern world.D. They are both Guianese and French citizens.29. Gin introduced the special world of the indigenous Guianese as _________.A. a tour guideB. a geographerC. a film directorD. a photographer30. What is Gin’s attitude towards the lives of the indigenous Guianese?A. Cautious.B. Doubtful.C. Uninterested.D. Appreciative.31. What does the underlined word “it” in the last paragraph refer to?A. The modern French lifestyle.B. The self-supporting hunting.C. The uncivilized hunting.D. The French Republic.DA warm drink of milk before bed has long been the best choice for those wanting a good night’s sleep. But now a study has found it really does help people nod off—if it is milked from a cow at night.Researchers have discovered that “night milk” contains more melatonin(褪黑激素), which has been proven to help people feel sleepy and reduce anxiety.The study, by researchers from Seoul, South Korea, involved mice being fed with dried milk powder made from cows milked both during the day and at night.Those given night milk, which contained 10 times the amount of melatonin, were less active and less anxious than those fed with the milk collected during daytime, according to the study published in The Journal of Medicinal Food.Night milk quickened the start of sleep and caused the mice to sleep longer.While the effect of cows milk harvested at different time has not been tested on humans up to now, taking melatonin drugs has been suggested to those who are struggling to fall asleep at night.Previous studies have also indicated that milk can be excellent for helping sleep because of the calcium content, which helps people to relax.Milk is also sugar-free and additive-free with nutritionists recommending skimmed milk as thebest choice before bed as it is the least fattening. The more fat you take in before bedtime, the greater burden you will put on your body at night.32. According to the text, the mice fed with daytime milk_______.A. started sleep more easilyB. were more anxiousC. were less activeD. woke up later33. Which of the following is true of melatonin according to the text?A. It’s been tested on mice for ten times.B. It can make people more energetic.C. It exists in milk in great amount.D. It’s used in sleeping drugs.34. What can be a suitable title for the text?A. Night Milk and SleepB. Fat, Sugar and HealthC. An Experiment on MiceD. Milk Drinking and Health35. How does the author support the theme of the text?A. By giving examples.B. By stating arguments.C. By explaining statistical data.D. By providing research results.第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。