专题03 最有可能考的30题-2015年高考英语走出题海之黄金30题系列 Word版缺答案A卷
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【精选1】She likes playing piano; her brother likes playing _____basketball.A. the; aB. a; theC./; theD. the; /【答案】D【解析】试题分析:句意:她喜欢弹钢琴,她弟弟喜欢打篮球。
定冠词用法之一是球类前面不加the,乐器前面要加the,根据句意及选项结构,故选D。
考点:考查冠词。
【精选2】Please tum to Page and read the story.A. Ten; twoB. Ten; secondC. Tenth; secondD. Tenth; two【答案】B考点:考查数词用法。
【精选3】For your homework, I want you to remember the names of all the planets in ___correct order.A. ourB. yourC. itsD. their【答案】D【解析】试题分析:our我们的;your 你的,你们的;its它的; their 他们的。
句意:你们的作业是,我希望你们能按顺序记住所有的行星的名字。
结合语境可知此处指的是行星们的顺序,故选D。
考点:考查人称代词辨析【精选4】Our mother earth gives us ________ we need in our daily life.A. nobodyB. nothingC. everybodyD. everything【答案】D【解析】试题分析:nobody 没有人;nothing什么也没有;everybody每个人;Everything每件事.句意:我们的地球母亲给我们日常生活中需要的一切东西。
故选D。
考点:考查不定代词【精选5】--It's a top secret.--Yes, I see. I will keep it you and me.A. betweenB. aroundC. amongD. with【答案】A【解析】试题分析:between在两者之间;around在四周;among 在多个中间;With带有,伴随。
专题06考前必做难题30题【难题1】The presidents of China and the USA had ________ interview a short time ago.—And it was ________ great success.A. an; /B. the; aC. an; aD. the; /【答案】C考点:考查冠词的辨析。
【难题2】–When shall we meet again next week? –_______ day is possible. It’s no problem with me。
A. EitherB. NeitherC.Every D. Any【答案】D【解析】试题分析:. 下周任何一天都可以再次见面。
Any在肯定句中意思是“任何的”。
下周有七天容易排除A, B.如果把next week 改为next Monday or Tuesday, 则必须选择A。
故选D。
考点:考查不定代词。
【难题3】You like playing basketball, and he likes running, _______?A. don’t youB. doesn’t heC. do youD. does he【答案】B.【解析】试题分析:此题容易误选A. 其实不是对前面的句中进行反问,而是对he likes running进行反问。
故选B。
考点:考查反义疑问句。
【难题4】This class ________ now. Miss Gao teaches them。
A. are studyingB. is study ingC.be studying D. studying【答案】A【解析】试题分析:此题容易误选B. class, family, team等单词如果表示整体谓语就用单数,表示个体就用复数,从语境及其后面的代词them可以看出,class表示个体,故选择A。
2015年高考数学走出题海之黄金30题系列专题一经典母题30题(第一期)1.设复数11z i=-,则z 的共轭复数是() A .11i +B .1i +C .11i-D .1i - 【答案】D【解析】由题可知,i iii z +=-=-=11112,故z =1+i 的共轭复数为z =1-i ;2.若集合}{,,,,,U =123456,}{,,S =145,}{,,T =234,则)(T C S U 等于 A .}{,,,1456B .}{4C .}{,15D .}{,,,,12345 【答案】C【解析】{}6,5,1=T C U ,(){}{}{}5,16,5,15,4,1== T C S U ,故答案为C .3.命题0:0p x ∃>,,则p ⌝为 A .0x ∀>,.0x ∀>,C .0x ∀>,.0x ∃>,【答案】B【解析】根据特称命题的否定形式,可知应该为B .4.在边长为1的正三角形ABC 中,设2BC BD=,CA CE λ=,若1AD BE ⋅=-,则λ的值为() (A B )2(C D )3【答案】C【解析】由题意可得:()()()1AD BE AB BD BC CE AB BC BC CA λ⎛⎫⋅=++=++ ⎪211AB BC BC AB CA BC CA λλ⋅++⋅+⋅=5.设ABC ∆的内角A ,B ,C 所对边的长分别是a ,b ,c ,且3b =,1c =,2A B =.则a 的值为()(A B C D 【答案】D【解析】由题意可知:B b a B B A B A cos 2cos sin 2sin 2sin sin =⇒=⇒=,所以,由余弦定理可得:B ac c a b cos 2222-+=即,所以122=a ,6. A .最小正周期为π的偶函数 B .最小正周期为π的奇函数C D【答案】B,周期为π的奇函数, 故答案为B .7.如图所示的程序框图输出的所有点都在函数()A .1+=x y 的图像上B .x y 2=的图像上C .xy 2=的图像上 D .12-=x y 的图像上【答案】D【解析】由题可知,输入x =1,y =1,由于1≤4,输出点(1,1),进入循环, x =1+1=2,y =2×1=2,由于2≤4,输出点(2,2),进入循环, x =2+1=3,y =2×2=4,由于3≤4,输出点(3,4),进入循环, x =3+1=4,y =2×4=8,由于4≤4,输出点(4,8),进入循环,x =4+1=5>4,循环结束;故点(2,2),点(3,4)点(4,8)满足均在函数12-=x y 的图像上;8.已知22(0)()|log |(0)x x f x x x ⎧≤=⎨>⎩,则方程[()]2f f x =的根的个数是()A .3个B .4个C .5个D .6个 【答案】C【解析】 当0x ≤时当0x >时方程[()]2f f x =的根的个数是59.若不等式组⎪⎩⎪⎨⎧≤+≥+≥43430y x y x x ,所表示的平面区域被直线k =( )A【答案】C【解析】作出可行域,,)1,1(B ,)4,0(C ;BC 的中点时,直线将平面区域分成面积相等的两部分,则10.如图,已知某品牌墨水瓶的外形三视图和尺寸,则该墨水瓶的容积为( )(瓶壁厚度忽见解析不计)A .π8+B .π48+C .π16+D .π416+【答案】C【解析】根据所给的三视图,可知该几何体为一个长方体和一个圆柱的组合体,故其容积为24221116V p p =鬃+鬃=+,故选C .11.若三角形内切圆半径为r ,三边长分别为c b a ,,,则三角形的面积为根据类比思想,若四面体内切球半径为R ,四个面的面积分别为4321,,,S S S S ,则这个四面体的体积为()A B C D 【答案】C12.,则以双曲线的两条渐近线与抛物线2y mx =的交点为顶点的三角形的面积为( )A 【答案】C【解析】解得2=m ;两条渐近线与抛物线x y 22=的交点为,则13.计算:4839(log 3log 3)(log 2log 2)++=.【解析】由换底公式得14.已知对任意*N ∈n ,向量x y =的方向向量,设数列}{n a 的前n 项和为n S ,若11=a ,则=∞→n n S lim _____________.【答案】2都是直线x y =的方向向量,则,}{n a 是公比为15.ABCD 是矩形,4AB =,3AD =,沿AC 将ADC ∆折起到AD C '∆,使平面AD C '⊥平面ABC ∆,F 是AD '的中点,E 是AC 上的一点,给出下列结论: ① 存在点E ,使得//EF 平面BCD ' ② 存在点E ,使得EF ⊥平面ABD ' ③ 存在点E ,使得D E '⊥平面ABC ④ 存在点E ,使得AC ⊥平面BD E '其中正确结论的序号是.(写出所有正确结论的序号)【答案】①②③.【解析】①存在AC 中点E ,则EF ∥CD ′,利用线面平行的判定定理可得EF ∥平面BCD ′,正确;②EF ⊥AC ,利用面面垂直的性质,可得EF ⊥平面ABD ′,正确; ③D ′E ⊥AC ,利用面面垂直的性质,可得D ′E ⊥平面ABC ,正确;④因为ABCD 是矩形,AB =4,AD =3,所以B ,D ′在AC 上的射影不是同一点,所以不存在点E ,使得AC ⊥平面BD ′E ,故不正确; 故答案为:①②③.16.已知椭圆的左焦点为1F ,右焦点为2F .若椭圆上存在一点P ,满足线段2PF 相切于以椭圆的短轴为直径的圆,切点为线段2PF 的中点,则该椭圆的离心率为.【解析】因为线段2PF 相切于以椭圆的短轴为直径的圆,切点为线段2PF 的中点M ,则1//PF OM ,2PF OM ⊥,21PF PF ⊥∴,设,由椭圆的定义,得;由勾股定理,得2224)22(4c b a b =-+,解得17.已知函数()f x 是定义在R 上的奇函数,当0x ≥时,()12f x =()22223x ax a a -+--.若x R ∀∈,()()1f x f x -≤,则实数a 的取值范围为.【答案】6666≤≤-a 【解析】当x ≥0时,()⎪⎩⎪⎨⎧≤≤-≤<->-=2222220,2,2,3a x x a x a a a x a x x f ,由()23a x x f -=,22a x >得()2a x f ->;当222a x a ≤<时()2a x f -=;由()x x f -=,20a x ≤≤得()2a x f -≥;所以当0≥x 时2min a f -=.因为函数是奇函数,所以当0<x 时,2max a f =. 因为对于x R ∀∈,都有()()1f x f x -≤,所以()14222≤--a a ,所以6666≤≤-a .18.设全集{1,2,3,4,5,6}U =,用U 的子集可表示由0,1组成的6位字符串,如:{2,4}表示的是第2个字符为1,第4个字符为1,其余均为0的6位字符串010100,并规定空集表示的字符串为000000.①若{,3,6}M =2,则U M ð表示的6位字符串为; ②若{1,3}A =,集合A B 表示的字符串为101001,则满足条件的集合B 的个数是.【答案】100110;4【解析】由题意M ={2,3,6}表示的6位字符串为011001,故U M ð表示的6位字符串为100110;若A ={1,3},集合A ∪B 表示的字符串为101001,则集合B 中必含有4,且至多含有1,3,故满足的集合B 有{4},{1,4},{3,4},{1,3,4}19.已知函数x x x f 2sin 22sin )(-=. (1)求函数)(x f 的最小正周期;(2)求函数)(x f y =在 【答案】(1)π(2)【解析】(1))2cos 1(2sin )(x x x f --=故函数f (x )的最小正周期为π;(2)sint 时t sin 有最大值1,故y =f (x )20.某校书法兴趣组有3名男同学A ,B ,C 和3名女同学X ,Y ,Z ,其年级情况如下表:现从这6名同学中随机选出2人参加书法比赛(每人被选到的可能性相同). (1)用表中字母列举出所有可能的结果;(2)设M 为事件“选出的2人来自不同年级且性别相同”,求事件M 发生的概率. 【答案】(1)见解析;(2)1.21.ABC ∆中,,,A B C 所对的边分别为,,a b c ,(1,2),(cos 2m n A ==且1=⋅n m . (1)求A 的大小;(2)求ABC ∆的面积并判断ABC ∆的形状.【答案】. 【解析】(1) 1=⋅n m ,∴cos2m n ⋅=(2), )cos 1(2)(cos 22222A bc c b A bc c b a +-+=-+=,,3=∴bc ,∴△ABC 为等边三角形.22.某区体育局组织篮球技能大赛,每名选手都要进行运球、传球、投篮三项比赛,每名选手在各项比赛中获得合格与不合格的机会相等,且互不影响.现有F E D C B A ,,,,,六名选手参加比赛,体育局根据比赛成绩对前2名选手进行表彰奖励. (1)求A 至少获得一个合格的概率;(2)求A 与B 只有一个受到表彰奖励的概率. 【答案】【解析】(1)记A 运球,传球,投篮合格分别记为123,,W W W ,不合格为则A 参赛的所有可能的结果为共8种,由上可知A 至少获得一个合格对应的可能结果为7种, 所以A 至少获得一个合格的概率为 (2)所有受到表彰奖励可能的结果为{,},{,},{,},{,},{,}A B A C A D A E A F ,{,},{,},{,},{,}B C B D B E B F {,},{,},{,}C D C E C F ,{,},{,}D E D F ,{,}E F 共15个A 与B 只有一个受到表彰奖励的结果为{,},{,},{,},{,}AC AD AE AF ,{,},{,},{,},{,}B C B D B E B F 共8种则A 与B 只有一个受到表彰奖励的概率为 .23.已知等差数列{}n a 的公差为2,前n 项和为n S ,且1S ,2S ,4S 成等比数列. (1)求数列{}n a 的通项公式; (2)令()11n n b -=-14n n na a +,求数列{}nb 的前n 项和n T .【答案】(1)21n a n =-;(2)22,212,21n n n n T n n n +⎧⎪⎪+=⎨⎪⎪+⎩为奇数为偶数.【解析】(1)解:因为11S a =,2112122222S a a ⨯=+⨯=+, 41143424122S a a ⨯=+⨯=+, 由题意得()()211122412a a a +=+,解得11a =,所以21n a n =-. (2)解:由题意可知,()1141n n n n n b a a --=-()()()1412121n n n n -=--+()11112121n n n -⎛⎫=-+ ⎪-+⎝⎭.当n 为偶数时,n T =1111335⎛⎫⎛⎫+-++⎪ ⎪⎝⎭⎝⎭112321n n ⎛⎫++ ⎪--⎝⎭112121n n ⎛⎫-+ ⎪-+⎝⎭1121n =-+221nn =+. 当n 为奇数时,n T =1111335⎛⎫⎛⎫+-++⎪ ⎪⎝⎭⎝⎭112321n n ⎛⎫-+ ⎪--⎝⎭112121n n ⎛⎫++ ⎪-+⎝⎭1121n =++2221n n +=+. 所以22,212,21n n n n T n n n +⎧⎪⎪+=⎨⎪⎪+⎩为奇数为偶数.(或121(1)21n n n T n -++-=+)24.已知数列{}n a 满足:2,121==a a ,且1123(2,)n n n a a a n n *+-=+≥∈N . (1)设1()n n n b a a n *+=+∈N ,求证{}n b 是等比数列; (2)(ⅰ)求数列{}n a 的通项公式; (ⅱ)求证:对于任意*∈N n 都有【答案】(Ⅰ)(Ⅱ)(ⅰ【解析】(1)由已知得),2(),(311*-+∈≥+=+N n n a a a a n n n n , 则n n b b 31=+,又31=b ,则{}n b 是以3为首项、3为公比的等比数列(ⅱ25.如图甲,在平面四边形ABCD 中,已知45A ∠=,90C ∠=,105ADC ∠=,AB BD =,现将四边形ABCD 沿BD 折起,使平面ABD ⊥平面BDC (如图乙),设点E ,F 分别为棱AC ,AD 的中点.(1)证明DC ⊥平面ABC ;(2)求BF 与平面ABC 所成角的正弦值; (3)求二面角B EF A --的余弦值. 【答案】(1)见解析;【解析】(1)证明:在图甲中由AB BD =且45A ∠= 得45ADB ∠=,90ABC ∠=即AB BD ⊥在图乙中,因为平面ABD ⊥平面BDC,且平面ABD 平面BDC =BD所以AB ⊥底面BDC ,所以AB ⊥CD . 又90DCB ∠=,得DC ⊥BC ,且AB BC B =所以DC ⊥平面ABC .(2)由E 、F 分别为AC 、AD 的中点得EF //CD ,又由(1)知,DC ⊥平面ABC , 所以EF ⊥平面ABC ,垂足为点E 则FBE ∠是BF 与平面ABC 所成的角在图甲中,由105ADC ∠=, 得60BDC ∠=,30DBC ∠= 设CD a =则2BD a =,所以在Rt FEB ∆中,即BF 与平面ABC 所成角的正弦值为 (3)由(2)知EF ⊥平面ABC ,又因为BE ⊂平面ABC ,AE ⊂平面ABC ,所以FE ⊥BE ,FE ⊥AE , 所以AEB ∠为二面角B EF A --的平面角 在AEB ∆中,即所求二面角B EF A --的余弦为26.如图所示,在三棱锥D ABC -中,,平面ACD ⊥平面ABC ,90BCD ∠=o .(1)求证:CD ⊥平面ABC ;(2)求直线BC 与平面ABD 所成角的正弦值.【答案】(1)略, 【解析】(1)过B 做BH ⊥AC 于HQ 平面ACD ⊥平面ABC ,平面ACD I 平面ABC AC =∴BH ⊥平面ACD BH ∴⊥CD又CD Q ⊥BC BH BC B =I∴CD ⊥平面ABC(2)Q BH⊥平面ACD连结DH则BDH∠为求直线BD与平面ACD所成角又Q BH AC⊥∴直线BD与平面ACD所成角的正弦值等于27.已知椭圆C :的焦距为4,其短轴的两个端点与长轴的一个端点构成正三角形.(1)求椭圆C的标准方程;(2)设F为椭圆C的左焦点,T为直线3x=-上任意一点,过F作TF的垂线交椭圆C于点P,Q,①证明:OT平分线段PQ(其中O为坐标原点),值最小时,求点T的坐标.【答案】(2)①见解析;②()3,1-或()3,1--.【解析】(1)解得26a =,22b =,所以椭圆C 的标准方程是②解:由①可得,m=±1最小时,T点的坐标是(-3,1)或(-3,-1).28.(0>>ba)的焦距为2,且椭圆C的短轴的一个端点与左、右焦点1F、2F构成等边三角形.(1)求椭圆C的标准方程;(2)设M为椭圆上C上任意一点,求21MFMF⋅的最大值与最小值;(3)试问在x轴上是否存在一点B,使得对于椭圆上任意一点P,P到B的距离与P到直线4=x的距离之比为定值.若存在,求出点B的坐标,若不存在,请说明理由.【答案】(2)最大值为3,最小值为2;(3)存在满足条件的点B,B的坐标为)0,1(.【解析】(1)由已知,c=1,a=2c=2,所以3222=-=cab,(2))0,1(1-F,)0,1(2F,设),(yxM,则),1(1yxMF---=,),1(2yxMF--=,12221-+=⋅yxMFMF(-2≤x≤2),由402≤≤x,得21MFMF⋅的最大值为3,最小值为2(3)假设存在点B (m ,0),设P (x ,y ),P 到B 的距离与P 到直线x =4的距离之比为定值λ,整理得22222)4(2-=+-+x m mx y x λ,x ∈[-2,2]都成立.则由F (0)=0得06322=1-+λm ① 由F (2)=0得044422=-+-λm m ② 由F (-2)=0,得0364422=-++λm m ③m =1. 所以,存在满足条件的点B ,B 的坐标为(1,0).29.已知0a >,函数2()ln f x ax x =-.(1)求()f x 的单调区间; (2)当18a =时,证明:方程2()()3f x f =在区间(2,+∞)上有唯一解; (3)若存在均属于区间[]3,1的,αβ且1βα-≥,使()f α=()f β, 证明:ln 3ln 2ln 253a -≤≤. 【答案】(1)21b a =--;(2)见解析;(3)见解析.【解析】(1)函数()f x 的定义域(0,)+∞ ,2121()2ax f x ax x x-'=-=0a > 令()0f x '>得:2x a >()0f x '<得:0x <∴函数()f x的单调递减区间为(0,2a,单调递增区间为()2a+∞ (2)证明:当81=a 时,()x x x f ln 812-=,由(1)知()x f 的单调递减区间为()2,0, 的单调增区间为()+∞,2令()()⎪⎭⎫ ⎝⎛-=32f x f x g ,则()x g 在区间()+∞,2单调递增且()()03222<⎪⎭⎫ ⎝⎛-=f f g ,()032ln 181242>+--=e e g ,所以方程2()()3f x f =在区间()+∞,2上有唯一解. (注:检验()g x 的函数值异号的点选取并不唯一)(3)证明:由()()f f αβ=及(1)的结论知αβ<<, 从而()f x 在[,]αβ上的最大值为()f α(或()f β), 又由1βα-≥,α,[1,3]β∈,知123αβ≤≤≤≤.故(1)()(2)(3)()(2)f f f f f f αβ≥≥⎧⎨≥≥⎩,即4ln 29ln34ln 2a a a a ≥-⎧⎨-≥-⎩.从而ln 3ln 2ln 253a -≤≤.30.已知函数()ln f x x =,2()()g x f x ax bx =++,函数()g x 的图象在点(1,(1))g 处的切线平 行于x 轴.(1)确定a 与b 的关系;(2)试讨论函数()g x 的单调性; (3)证明:对任意n N *∈,都有 【答案】(1)21b a =--;(2)见解析;(3)见解析. 【解析】(1)依题意得2()ln g x x ax bx =++,则由函数()g x 的图象在点(1,(1))g 处的切线平行于x 轴得:'(1)120g a b =++=所以21b a =--(2)解:由(1)因为函数()g x 的定义域为(0,)+∞所以当0a ≤时,210ax -<在(0,)+∞上恒成立,由'()0g x >得01x <<,由'()0g x <得1x >,即函数()g x 在()0,1上单调递增,在(1,)+∞单调递减; ,由'()0g x <得 ,由'()0g x < 即函数()g x 在(0,)+∞上单调递增,综上得:当0a ≤时,函数()g x 在()0,1上单调递增,在(1,)+∞单调递减;时,函数()g x 在(0,1), 时,函数()g x 在(0,)+∞上单调递增; 时,函数()g x 在,(1,)+∞上单调递增,在 (3)证法1:由(2)知当1a =时,函数2()ln 3g x x x x =+-在(1,)+∞单调递增,所以2ln 3(1)2x x x g +-≥=-,即2ln 32x x x ≥-+-(1)(2)x x =---,。
2015年高考英语黄金30题系列专题06 考前必做难题30题(含解析)1.Flocks of customers joined Alibaba Singles Day, Hong Kong, the U.S. and Russia_______ the top three outside.A. claimedB. to be claimedC. claimingD. being claimed【答案】C【解析】考查独立主格结构。
该句句意为:成群的顾客加入了阿里巴巴的光棍节,香港、美国和俄罗斯成为(大陆以外的)前三甲。
分析句式可知,Hong Kong, the U.S. and Russia_______ the top three outside.为独立主格结构作状语,而claim(获得/取得/赢得)和其逻辑主语Hong Kong, the U.S. and Russia之间为主动关系,故该题正确答案为C. claiming.考点:独立主格结构2.If people outside China learned a bit about jasmine tea culture, they would realize there_______a lot of enjoyment in it.A. isB. wasC. wereD. would be【答案】A3.My voice was so little and the shop owner had to bend down to hear_______ I wanted to buy.A. what it wasB. it was whatC. what it was thatD. what was that【答案】C【解析】考查强调句及名词性从句。
该句句意为:我的声音太小了,所以店主不得不弯下腰来听我到底想要买什么。
分析句子结构可知,该宾语从句也是一个强调句的特殊疑问句。
2015年高考英语黄金30题系列专题02 新题精选30题(含解析)1.As the dark horse, China’s football team swept into the quarterfinals_______ it lost to host country Australia.A. asB. whatC. thatD. where【答案】D考点:定语从句2.The frozen waterfall has attracted floods of tourists to_______ the natural beauty.A. cherishB. admireC. observeD. discover【答案】B【解析】考查动词辨析。
A. cherish珍爱;B. admire欣赏;羡慕,钦佩;C. observe观察;D. discover 发现;该句句意为:冻住了的瀑布吸引了大量的游客来欣赏自然的美景。
故该题正确答案为B.考点:动词辨析3.Prince William took a visit to the Forbidden City on Feb. 28, ______ emperors once lived.A. whichB. whoseC. whereD. when【答案】C【解析】试题分析:考查定语从句。
句意:威廉姆王子在2月28日参观了紫禁城,皇帝曾在那里住过。
the Forbidden City做先行词,在定语从句中作地点状语,故选C。
考点:考查定语从句。
4.—What do you think of the Huawei P7?—Terrific, I would buy one if I ______ an iPhone 6 Plus last year.A. didn’t buyB. don’t buyC. hadn’t boughtD. haven’t bought 【答案】C【解析】试题分析:考查动词时态。
2015英语考前必做基础30题1. ________ village where I was born has grown into ________ town.A. The; aB. A; theC. The; theD. A; a2.Henry was away from home for quite a bit and _______ saw his family.A. frequentlyB. seldomC. alwaysD. usually3.My parents always _______ great importance to my getting a good education.A. haveB. attachC. acceptD. pay4.Unless some extra money________, the theatre will be close.A. was foundB. findsC. is foundD. found5. Life is unpredictable; even the poorest __become the richest.A. shallB. mustC. needD. might6.The film star wears sunglasses. Therefore, he can go shopping without ______..A. recognizingB. being recognizedC. having recognizedD. having been recognized7.There are still many problems ______ before we are ready for a long stay on the Moon.A. solvingB. solvedC. being solvedD.to be solved8.I now, we have raised 50.000 pounds for the poor children, ______ is quite unexpected.A. thatB. whichC. whoD. it9. I think _______ impresses me about his painting is the colours he uses.A. whatB. thatC. whichD. who10.— I get at least half an hour of exercise almost every day.— Oh great! .A. Good luckB. Cheer upC. Same to youD. Keep it up11.阅读下面短文,掌握其大意,从每学@科@网题所给的A、B、C、D 四个选项中,选出最佳选项,并在答题卡上讲该项涂黑。
2015年高考英语黄金30题系列专题03 最有可能考的30题(含解析)1.—Do you think he is the only person for the job?—I’m not quite sure but he’ll prove_______ to the task.A. equalB. essentialC. specialD. superior【答案】A考点:形容词辨析2.He abandoned teaching_______ a career as a musician.A. in favor ofB. in terms ofC with regard to D. with reference to【答案】A【解析】考查介词短语。
该句句意为:他弃教从事音乐。
A. in favor of看中,选择;赞同,支持;B. in terms of就…而言;在…方面;C with regard to关于;D. with reference to关于;故该题正确答案为A.考点:介词短语3.Mary has her weakness, ___________ that doesn’t mean she is not qualified for her job.A. andB. yetC. soD. or【答案】B【解析】试题分析:考查并列连词。
A. and和;B. yet然而;C. so所以;D. or或者,否则。
句意:玛丽有她的弱点,然而那并不意味着她对工作不称职。
故选B。
考点:考查并列连词。
4.—It is said that John’s paper got an A.—He deserves it. He _________ a lot before he handed it in.A. preparedB. preparesC. had preparedD. has prepared【答案】C【解析】试题分析:考查动词时态。
2015年高考数学走出题海之黄金30题系列专题三 最有可能考的30题1.设全集U R =,集合{}02x x A =<≤,{}1x x B =<,则集合()U C AB =( )A .(],2-∞B .(],1-∞C .()2,+∞D .[)2,+∞ 【答案】C 【解析】试题分析:∵集合{}02x x A =<≤,{}1x x B =<,∴(,2]A B =-∞,∴ ()(2,)U C A B =+∞.2.命题“12sin ,>∈∀x R x ”的否定是( ) A. 12sin ,≤∈∀x R x B. 12sin ,>∉∀x R x C. 12sin ,0≤∈∃x R x D. 12sin ,0>∉∃x R x 【答案】C【解析】先改写量词,再对结论进行否定,故“12sin ,>∈∀x R x ”的否定是“12sin ,0≤∈∃x R x ”3.已知函数()f x 为奇函数,且当0x >时,21()f x x x =+,则(1)f -=(A )2- (B )0 (C )1(D )2【答案】A 【解析】试题分析:由已知2)1()1(-=-=-f f4.函数()f x =的定义域是( )A .()0,2B .[]0,2C .()()0,11,2D .[)(]0,11,2【答案】D 【解析】试题分析:由22010x x x ⎧-≥⎨-≠⎩,解得021x x ≤≤⎧⎨≠⎩,故01x ≤<,或12x <≤,∴函数()f x 的定义域为[)(]0,11,2.5.设0.14a =,3log 0.1b =,0.10.5c =,则( )A .a b c >>B .a c b >>C .b a c >>D .b c a >> 【答案】B 【解析】试题分析:设函数4x y =,3log y x =,0.5x y =, 由指数函数、对数函数的性质可知1a >,0b <,01c <<.6.曲线323y x x =-+在点1x =处的切线方程为 . 【答案】310x y --= 【解析】试题分析:∵2'36y x x =-+,∴1'|363x y ==-+=,切点(1,2),∴所求切线方程为23(1)y x -=-,即310x y --=.7.下列图象中,可能是函数x xx xe e y e e ---=+图象的是【答案】A【解析】0)0(=f ,所以排除选项C,D ;12111222+-=+-=x x x e e e y 在定义域上为增函数,所以选A.8.在△ABC 中,已知3C π=,4b =,△ABC 的面积为则c =( ☆ )【答案】C【解析】 试题分析:232232sin 21=⇒=⨯==a a C ab S ,由余弦定理得12cos 2222=-+=C ab b ac , 故32=c9.已知函数()sin(2))f x x ϕϕπ=+<(的图象向左平移6π个单位后得到()cos(2)6g x x π=+的图象,则ϕ的值为( )A.23π-B.3π- C.3π D.23π【答案】C. 【解析】试题分析:由题意得()=sin[2()]6g x x πϕ++,又∵2()cos(2)=sin(2)63g x x x ππ=++, ∴2+=233k ππϕπ+,即=23k πϕπ+,k Z ∈,∵ϕπ<,∴=3πϕ,故选C. 10.已知(1,3)a =-,(1,)b t =,若(2)a b a -⊥,则||b = .【解析】试题分析:∵(1,3)a =-,(1,)b t =,∴2(3,32)a b t -=--,∵(2)a b a -⊥, ∴(2)0a b a -∙=,即(1)(3)3(32)0t -⨯-+-=,即2t =,∴(1,2)b =,∴2||12b =+=11.如图,在平行四边形ABCD 中,E 为DC 的中点, AE 与BD 交于点M ,AB 1AD =,且16MA MB ⋅=-,则AB AD ⋅= .【答案】34【解析】试题分析:2121122()()()()()()3333333MA MB MD DA DB BD DA DB AD AB DA AB AD ⋅=+⋅=+⋅=-+⋅-22212242221()()333399996AD AB AB AD AD AB AB AD AB AD =--⋅-=--⋅=-⋅=-,AB AD ⋅=3412.设等比数列{}n a 中,前n 项和为n S ,已知38S =,67S =,则789a a a ++= (A )578 (B )558 (C )18(D )18- 【答案】C 【解析】试题分析:因{}n a 为等比数列,故69363,,S S S S S --也成等比数列,所以()⇒-=-)(693236S S S S S8169=-S S 13.已知x ,y 满足22y x x y z x y x a ≥⎧⎪+≤=+⎨⎪≥⎩,且的最大值是最小值的4倍,则a 的值是( )A.34B.14C.211D.4【答案】B14.若过点()2P --的直线与圆224x y +=有公共点,则该直线的倾斜角的取值范围是( )A. 0,6π⎛⎫⎪⎝⎭B. 0,3π⎡⎤⎢⎥⎣⎦C. 0,6π⎡⎤⎢⎥⎣⎦D. 0,3π⎛⎤⎥⎝⎦【答案】B 【解析】试题分析:设直线l过点()2P --,直线l 的倾斜角为α,当2πα≠时,直线l 的斜率tan k α=,则直线l 的方程可写成:(2y k x +=+即:20kx y -+-=,由直线l 与圆224x y +=有公共2≤,(80k k ⇔≤,解得00tan 0,k ααπ≤≤≤≤<,03πα∴≤≤,故选B .15.已知0a ≠,直线(2)40ax b y +++=与直线(2)30ax b y +--=互相垂直,则ab 的最大值为 A .0 BC .4D .2【答案】D 【解析】试题分析:由直线垂直可得()()2220a b b ++-=,变形可得224a b +=,由基本不等式可得2242a b ab =+≥,∴2ab ≤,当且仅当a b ==时取等号,∴ab 的最大值为:2.16.圆x 2+y 2+2x -2y +a =0截直线x +y +2=0所得弦的长度为4,则实数a = ▲ . 【答案】-4; 【解析】试题分析:圆的标准方程为(x +1)2+(y -1)2=2-a ,r 2=2-a ,则圆心(-1,1)到直线x +y +2=0的距离由22+2=2-a ,得a =-4.17.已知双曲线22:13x C y -=的左,右焦点分别为1F ,2F ,过点2F 的直线与双曲线C 的右支相交于P ,Q 两点,且点P 的横坐标为2,则△1PFQ 的周长为( )A B . D .【答案】A 【解析】试题分析:因为2c ==,所以()2F 2,0,因为点P 的横坐标为2,所以Q x P ⊥轴,由22213y -=,解得y =,所以Q P =P 、Q 在双曲线C 上,所以12F F P -P =12QF QF -=1122F QF F QF Q P +=P +=P ==,所以△1PFQ 的周长为11FQF Q P ++P ==,故选A . 18.设斜率为22的直线l 与双曲线)0,0(12222>>=-b a b y a x 交于不同的两点,P Q ,若点,P Q 在x 轴上的射影恰好为双曲线的两个焦点,则该双曲线的离心率是【解析】试题分析:根据题意可知:22,,,b b P c Q c a a ⎛⎫⎛⎫-- ⎪ ⎪⎝⎭⎝⎭,且2PQ k =即:22b ac =再结合:222c a b =+,解得ca=19.已知n m ,是两条不同的直线,,,αβγ是三个不同的平面,则下列命题中正确的是A.若,,//αγαβγβ⊥⊥则B.若//,,,//m n m n αβαβ⊂⊂则C.若//,//,//m n m n αα则D.若//,,,//m n m n αβαβ⊥⊥则 【答案】D. 【解析】试题分析:用反例来说明:对于选项A ,在正方体1111D C B A ABCD -中,设=α平面11A ADD ,=β平面11A ABB ,=γ平面ABCD ,而AB =⋂βγ,并不满足γ∥β,所以选项A 不正确;对于选项A ,在正方体1111D C B A ABCD -中,设=α平面11A ADD ,=β平面11A ABB ,1AA m =,1BB n =,此时也不满足α∥β,所以选项B 不正确;对于选项C ,1BB m =,1AA n =,=α平面11A ADD ,此时α⊂n ,所以选项C 不正确;对于选项D ,因为m ∥n ,α⊥m ,所以α⊥n ,又因为β⊥n ,所以α∥β,所以选项D 正确.20.如图是一个几何体的三视图,根据图中的数据,计算该几何体的表面积为 A. 37πB. 35πC. 33πD. 31π【答案】C【解析】由三视图可知,该几何体是由一个倒立的圆锥和一个半球组合而成,其中半球和圆锥的底面半径都为3,圆锥的母线长为5,则几何体的表面积为πππππ33151822=+=+=Rl R S . 21.有5名同学站成一排照相,则甲与乙且甲与丙都相邻的不同排法种数是 (A)8 (B)12 (C)36(D)48【答案】B 【解析】试题分析:5名同学站成一排照相,则甲与乙且甲与丙都相邻,只需乙、丙分别在甲的两边相邻位置,可采用“捆绑法”解决,但乙、丙可以换位置,12233=A . 22.10)1)(1(x x -+ 展开式中3x 的系数为_________.【答案】-75. 【解析】试题分析:因为10)1(x -的展开式的通项为:r r r x C T )(101-=+,当第一项取1时,此时10)1)(1(x x -+展开式中3x 的系数为10)1(x -的展开式的3x 的系数即3103310)1(C C -=-;当第二项取x 时,此时10)1)(1(x x -+展开式中3x 的系数为10)1(x -的展开式的2x 的系数即2102210)1(C C =-;所以所求式子中展开式中3x 的系数为-75.故应填-75.23.如果执行如图的程序框图,那么输出的值是 A. 2016B. 2C.12D. 1-【答案】A 【解析】试题分析:第一次循环0,2==k s ,第一次循环0,2==k s ,第一次循环0,2==k s ,第一次循环0,2==k s ,故应选A.24.若复数z 与23i +互为共轭复数,则复数z 的模||z =( ).A .5 C .7 D . 13 【答案】A 【解析】试题分析:复数bi a +与bi a -互为共轭复数,则复数i z 32-=,进而复数z 的模||z =.133-222=+)(25.在直角坐标系xOy 中,曲线1C 和2C 的参数方程分别为cos sin ,(cos sin x y θθθθθ=+⎧⎨=-⎩为参数)和2,(x t t y t =-⎧⎨=⎩为参数).以原点O 为极点,x 轴正半轴为极轴,建立极坐标系,则曲线1C 与2C 的交点的极坐标...为 .【答案】4π⎫⎪⎭26.已知()f x =⋅a b ,其中(2cos ,2)x x =a ,(cos ,1)x =b ,R x ∈. (Ⅰ)求()f x 的单调递减区间;(Ⅱ)在△ABC 中,角A ,B ,C 所对的边分别为a ,b ,c ,()1f A =-,a =且向量(3,sin )B =m 与(2,sin )C =n 共线,求边长b 和c 的值.【答案】(Ⅰ)(),63Z k k k ππππ⎡⎤-+∈⎢⎥⎣⎦;(Ⅱ)3,2b c ==【解析】试题分析:(Ⅰ)由向量数量积定义及三角变换公式可得2()2cos 21cos23sin 212cos(2f x x x x x x ==-=++)32cos(2π++x ,令2223k x k ππππ++≤≤可得63k x k ππππ-+≤≤,故()f x 的单调递减区间为(),63Z k k k ππππ⎡⎤-+∈⎢⎥⎣⎦;(Ⅱ)∵()12cos 213f A A π⎛⎫=++=- ⎪⎝⎭⇒3A π=,利用余弦定理可得()22222cos 37a b c bc A b c bc =+-=+-=,又(3,s i n )B =m 与(2,sin )C =n 共线⇒2sin 3sin B C=⇒23b c =,从而解得3,2b c ==试题解析:(Ⅰ)由题意知2()2cos 21cos2212cos(2)3f x x x x x x π==+=++,∵cos y x =在区间[2,2]k k πππ+(k ∈Z )上单调递减, ∴令2223k x k ππππ++≤≤,得63k x k ππππ-+≤≤, ∴()f x 的单调递减区间(),63Z k k k ππππ⎡⎤-+∈⎢⎥⎣⎦.(Ⅱ)∵()12cos 213f A A π⎛⎫=++=- ⎪⎝⎭,∴cos 213A π⎛⎫+=- ⎪⎝⎭,又72333A πππ<+<,∴23A ππ+=,即3A π=,∵a =()22222cos 37a b c bc A b c bc =+-=+-=. 因为向量(3,sin )B =m 与(2,sin )C =n 共线,所以2sin 3sin B C =, 由正弦定理得23b c =,∴3,2b c ==.27.心理学家分析发现视觉和空间能力与性别有关,某数学兴趣小组为了验证这个结论,从兴趣小组中按分层抽样的方法抽取50名同学(男30女20),给所有同学几何题和代数题各一题,让各位同学自由选择一道题进行解答.选题情况如下表:(单位:人)(1)能否据此判断有97.5%的把握认为视觉和空间能力与性别有关?(2)经过多次测试后,甲每次解答一道几何题所用的时间在5~7分钟,乙每次解答一道几何题所用的时 间在6~8分钟,现甲、乙各解同一道几何题,求乙比甲先解答完的概率.(3)现从选择做几何题的8名女生中任意抽取两人对她们的答题情况进行全程研究,记甲、乙两女生被抽到的人数为X ,求X 的分布列及数学期望EX . 下面临界值表仅供参考:22()()()()()n ad bc K a b c d a c b d -=++++.【答案】(1)有97.5%的把握认为视觉和空间能力与性别有关;(2)18;(3)X 的分布列为:0k,1512110+1+22828282EX =⨯⨯⨯=. 【解析】 试题解析:(1)由表中数据得2K 的观测值()225022128850 5.556 5.024*********K ⨯⨯-⨯==≈>⨯⨯⨯,……2分 ∴根据统计有97.5%的把握认为视觉和空间能力与性别有关;……3分(2)设甲、乙解答一道几何题的时间分别为x ,y 分钟,则基本事件满足的区域为5768x y ≤≤⎧⎨≤≤⎩(如图所示),……4分 设事件A 为“乙比甲先做完此道题” 则满足的区域为x y >,……5分 ∴由几何概型11112()228P A ⨯⨯==⨯,即乙比甲先解答完的概率为18;……7分(3)由题可知在选择做几何题的8名女生中任意抽取两人,抽取方法有2828C =种,其中甲、乙两人没有一个人被抽到有2615C =种,恰有一人被抽到有1126=12C C ⋅种;两人都被抽到有221C =种,……8分∴X 可能取值为0,1,2,15(0)28P X ==,123(1)287P X ===,1(2)28P X == X 的分布列为:,……11分 ∴1512110+1+22828282EX =⨯⨯⨯=. .……12分28.已知{}n a 是一个单调递增的等差数列,且满足2421a a =,1510a a +=,数列{}n c 的前n 项和为1n n S a =+()N n *∈,数列{}n b 满足2n n n b c =.(Ⅰ)求数列{}n a 的通项公式;(Ⅱ)求数列{}n b 的前n 项和.【答案】(Ⅰ) 21(*)N n a n n =-∈;(Ⅱ) 24(12)2412n n n T +⨯-==-- 【解析】试题解析:(Ⅰ)设等差数列{}n a 的公差为d ,则依题知0d >.由315210a a a =+=,又可得35a =.由2421a a =,得(5)(5)21d d -+=,可得2d =.所以1321a a d =-=.可得21(*)N n a n n =-∈ ……………………6分(Ⅱ)由(Ⅰ)得12n n S a n =+=当2n ≥时,122(1)2n n n c S S n n -=-=--=当1n =时,112c S ==满足上式,所以2(*)N n c n =∈所以12222n n n n n b c +==⨯=,即12n n b +=, 因为211222n n n n b b +++==,14b = 所以数列{}n b 是首项为4,公比为2的等比数列. 所以前n 项和24(12)2412n n n T +⨯-==-- ………………………12分 29.如图,在斜三棱柱111ABC A B C -中,侧面11ACC A 与侧面11CBBC 都是菱形,011160ACC CC B ∠=∠=,2AC =.(Ⅰ)求证:11AB CC ⊥;(Ⅱ)若1AB 11C AB A --的余弦值.【答案】(1)证明详见解析;(2).【解析】试题解析:(Ⅰ)证明:连AC 1,CB 1,则△ACC 1和△B 1CC 1皆为正三角形.取CC 1中点O ,连OA ,OB 1,则CC 1⊥OA ,CC 1⊥OB 1,则CC 1⊥平面OAB 1,则CC 1⊥AB 1. …4分(Ⅱ)由(Ⅰ)知,OA =OB 1AB 1所以OA ⊥OB 1.如图所示,分别以OB 1,OC 1,OA 为正方向建立空间直角坐标系,则C (0,-1,0),B 1(0,0),A (0,0, …6分设平面CAB 1的法向量为m =(x 1,y 1,z 1), 因为1(3,0,AB =,(0,1,AC =-,所以11111100010x y z x y z +⨯=⨯-⨯=⎪⎩,取m =(11). …8分设平面A 1AB 1的法向量为n =(x 2,y 2,z 2), 因为1(3,0,AB =,1(0,2,0)AA =,所以222111000200x y z x y z +⨯=⨯+⨯+⨯=⎪⎩,取n =(1,0,1). …10分则cos ,5||||5m n m n m n ∙<>===⨯,因为二面角C -AB 1-A 1为钝角,所以二面角C -AB 1-A 1的余弦值为. …12分 30.已知函数).1,0(ln )(2≠>-+=a a a x x a x f x(Ⅰ)求函数)(x f 在点))0(,0(f 处的切线方程;(Ⅱ)求函数)(x f 单调递增区间;(Ⅲ)若存在]1,1[,21-∈x x ,使得e e x f x f (1)()(21-≥-是自然对数的底数),求实数a 的取值范围.【答案】(Ⅰ)1y =;(Ⅱ)(0,)∞+;(Ⅲ)1(0,][e,)ea ∈∞+.【解析】试题解析:解:(Ⅰ)因为函数2()ln (0,1)x f x a x x a a a =->≠+,所以()ln 2ln x f x a a x a '=-+,(0)0f '=,又因为(0)1f =,所以函数()f x 在点(0,(0))f 处的切线方程为1y = ……3分(Ⅱ)由⑴,()ln 2ln 2(1)ln x x f x a a x a x a a '=-=-++.令a a x x h x ln )1(2)(-+=,则0ln 2)('2≥+=a a x h x所以当0,1a a >≠时, ()f x '在R 上是增函数…………………5分又(0)0f '=,所以不等式()0f x '>的解集为(0,)∞+故函数()f x 的单调增区间为(0,)∞+…………………8分(Ⅲ)因为存在12,[1,1]x x ∈-,使得12()()e 1f x f x --≥成立,而当[1,1]x ∈-时,12max min ()()()()f x f x f x f x --≤,所以只要max min ()()e 1f x f x --≥即可. …………………9分又因为x ,()f x ',()f x 的变化情况如下表所示:所以()f x 在[1,0]-上是减函数,在[0,1]上是增函数,所以当[1,1]x ∈-时,()f x 的最小值 ()()min 01f x f ==,()f x 的最大值()max f x 为()1f -和()1f 中的最大值 因为11(1)(1)(1ln )(1ln )2ln f f a a a a a a a--=--=--+++, 令1()2ln (0)g a a a a a =-->,因为22121()1(1)0g a a a a'=-=->+, 所以1()2ln g a a a a =--在()0,a ∈+∞上是增函数. 而(1)0g =,故当1a >时,()0g a >,即(1)(1)f f >-;当01a <<时,()0g a <,即(1)(1)f f <-.所以,当1a >时,(1)(0)e 1f f --≥,即ln e 1a a --≥,函数ln y a a =-在(1,)a ∈+∞上是增函数,解得e a ≥………………11分当01a <<时,(1)(0)e 1f f ---≥,即1ln e 1a a +-≥,函数1ln y a a=+在(0,1)a ∈上是减函数,解得10ea <≤.………………12分 综上可知,所求a 的取值范围为1(0,][e,)ea ∈∞+………………13分.。
【根底1】- - -Mrs. Smith has ______ eight -year -old daughter who has won two national painting prizes.- - -Do you mean _______ unusual girl in a blue skirt?A. an; anB. an; theC. the; theD. the; a【答案】B考点:考查冠词的用法.【根底2】- - -Can you tell me something about my favourite football star David Beckham?- - -Certainly. He has _______ children. Brooklyn Beckham is his _______son.A. fourth; firstB. four; oneC. four; firstD. fourth; one【答案】C【解析】试题分析:句意为:- - -你能告诉我一些关于我最|喜欢的足球明星戴维.贝克汉姆的事吗? - - -当然可以.他有四个孩子.布鲁克林.贝克汉姆是他的第|一个儿子.基数词后常接名词,表示数量;序数词表示顺序 .根据语境可知应选C .考点:考查数词的用法.【根底3】- - -Can you find out our city _________ a lot in the last few years?- - -Yes. The road is wider and the buildings are taller.A. has changedB. changesC. changedD. will change【答案】A【解析】试题分析:句意为:- - -你发现在最|近几年我们的城市变化很多了吗? - - -发现了.道路更宽敞了,大楼更高了.根据语境可知,这是一个过去发生的动作一直持续到现在,对现在造成某种影响或结果,应用现在完成时.结合选项可知应选A .考点:考查现在完成时的用法.【根底4】The old man __________ eats junk food, does he?A. sometimesB. oftenC.seldomD. Usually【答案】C【解析】试题分析:A. Sometimes有时;B. often 经常;C.seldom 很少;D. Usually通常;根据句意; 这个老人很少吃垃圾食品,对不对?根据在反义一般疑问句中,前边陈述局部是否认形式,后面市简短的肯定的一般疑问句;根据句意应选C考点:考查副词的辨析.【根底5】-Listen ! Helen is singing in the next room.It ____ be Helen. She has gone to Beijing.【答案】A考点:考查情态动词.【根底6】- - Mom, when shall we go to Dongying Museum this weekend?- - Oh, sorry. I'm going to Beijing for a meeting. ___Saturday __ Sunday is OK.A.Neither, norB. Both, andC. Either, orD. Not only, but also【答案】A【解析】试题分析:Neither, nor 两者都不;B. Both, and 表示两者都;C. Either, or或者……或者……; D. Not only, but also不仅而且;根据句意; - -妈妈,我们这个周末什么时候去东营博物馆? - -哦,对不起.我要去北京参加一个会议.周六和周日都不行.根据句意应选A考点:考查连词的辨析.【根底7】4.- - -Which magazine do you like better, Crazy Reading or Teen ,s Space?- - -I like ______ of them. They are useful for English lessons.A. noneB. neitherC. allD. both【答案】D【解析】试题分析:句意为:- - -你最|喜欢哪一种杂志,?疯狂阅读?还是?少年时空? ? - - -我都喜欢.它们对英语课很有用.none:没有一个人或物;neither:两者都不,all:三者或以上都,both:两者都.根据语境可知应选D . 考点:考查不定代词用法辨析.【根底8】- -How can we help the children in the mountain village?- -We can ____ leaflets to ask people to donate money.A.give in B.give offC.give up D.give out考点:考查动词短语辨析 .【根底9】- -Mr. White asked me to remind you of the meeting this afternoon.Don't forget it!- -OK ,I ____.A.won't B.don't C.will D.do【答案】A【解析】考点:考查动词.【根底10】- - -I will enter a speech competition next week.- - -___________A. Good luck!B. Well done!C. Thank you!D. The same to you!【答案】A考点:考查情景交际.【根底11】- - -Could you please tell me________________?- - -Yes. There is one on Center Street.A. where can I buy some stampsB. when you will take your vacationC. when was the telephone inventedD. if there are any good restaurants around here【答案】D【解析】试题分析:句意为:- - -你能告诉我附近有好的餐馆吗? - - -可以.中|心街有一个.这是一个宾语从句,从句应用陈述句语序.根据语境,这里表示的是存在"有〞,结合选项可知应选D .考点:考查宾语从句的用法.【根底12】- - -The air pollution is terrible.- - -It will be worse _______ we take action to protect the environment.A. ifB. unlessC. untilD. When【答案】B【解析】试题分析:句意为:- - -空气污染太可怕了. - - -如果我们不采取措施保护环境,将会更加糟糕.if:如果, unless:除非、如果不,until :直到……才…… ,When:当……时候 .根据语境可知应选B .考点:考查连词的用法辨析.【根底13】James, I ,m too tired. Let ,s stop ____ a rest.A. havingB. haveC. to havingD. to have【答案】D【解析】试题分析:stop doing 停止正在干的事;stop to do停止正在干的事去干另外一件事.故答案选D .考点:非谓语动词的用法 .【根底14】- - - - I have great ______ in finishing the work by myself. Could you help me ?-No problem.A. fun.B. success.C. advice.D. difficulty【答案】D【解析】试题分析:fun 是" 开心,快乐〞,success.是" 成功〞, advice 是" 建议〞, difficulty 是" 困难〞,根据句意"我靠我自己来完成这项工作有很大的困难,你能帮助我吗?没问题.〞,have difficulty in doing sth.意为"做某事遇到了困难〞,所以选D .考点:考查名词的含义用法和固定短语的用法.【根底15】There be a fashion show in our town tomorrow.A. are going toB. will haveC. hasD. is going to【答案】D考点:There be句型及其时态【根底16】- - -I have changed my job. - - -_________A. So do I.B. So have I.C. So I do.D. So I have.【答案】B【解析】试题分析:句意: -我换了工作. -我也是.根据句意可知,这里考查的是倒装结构,so的倒装结构表示前面所说的情况也适用于另外一人,句型是so +be/情态动词/助动词+主语.根据上句话中的have changed可知,这里应该是so have I,应选B .考点:考查倒装.4.【根底17】______get off the bus before it stops.A.Don't B.Doesn't C.Didn't【答案】A【解析】试题分析:句意:在汽车停之前不要下车.此题考查否认祈使句Don ,t +动词的原型,应选A .考点:考查祈使句的用法 .【根底18】The chemical in the vegetables and fruit arebad ________ our health.A.from B.with C.of D.for【答案】D考点:考查介词辨析.【根底19】Scientists say it may be a few years _____ it is possible to test the new medicine on patients.A. becauseB. afterC.beforeD. since【答案】C试题分析:此题题意为"科学家们说也许再过几年才有可能在病人身上测试这种新药.〞考查连词的用法.由题意可知答案为C .考点:此题考查连词.【根底20】If you can't find the place, I will show you_A. what it isB. what it wasC. where it isD. where it was【答案】C【解析】试题分析:根据句子的语境可知此处应用一般现在时,排除答案B和D ,根据句意可知此处表示"指给对方处所〞,故用where ,故答案应选C .考点:考查宾语从句的用法.【根底21】- In a text message, 88 means Bye -bye.- And another example is F2F______ stands for face to face.A. thatB. whoC. whomD. it【答案】A【解析】试题分析:句意:在短信中,88的意思是再见. - -在另一个例子是F2F表示面对面.结合语境可知下文先行词F2F做下文定语从句的逻辑主语,指物,故引导词用that ,选A .考点:考查定语从句【根底22】-Do you know________?-This afternoon.A. when will the policenman give us a talkB. where will the policeman give us a talkC. when the policenman give us a talkD. where the policeman will give us a talk【答案】C考点:考查宾语从句【根底23】There has never been such a beautiful village _________ in the world.A. anywhereB. everywhereC. somewhereD. nowhere【答案】A【解析】试题分析:由never可知,本句表示否认意义,又由句意"在世|界上没有任何一个像这样漂亮的山村〞可知,用anywhere "任何地方〞.应选A .考点:\考查合成副词的用法.【根底24】No one can sing _______ than her.A. wellB. goodC.betterD. best【答案】C【解析】试题分析:根据空后的than可知这里要用比拟级| ,而good和well的比拟级|都是better ,所以选择答案C . 考点:考查比拟等级|的用法.【根底25】根据语境或句意,用所给词的适当形式填空.【小题1】I don ,t think students should be allowed to get their________ pierced (ear).【小题2】Fast food _______isn ,t always bad for you, but too much of it is not good.(it)【小题3】Alex will go for a picnic instead of _______at home this weekend.(stay)【小题4】"Which do you like________, football, basketball or volleyball?〞"Basketball.〞(good)【小题5】My mother asks me________ milk every morning because it is good for me.(drink)【答案】【小题1】ears【小题2】itself【小题3】staying【小题4】best【小题5】to drink【解析】试题分析:【小题1】句意:我认为不应该允许学生们将他们的耳朵穿孔.结合语境及所给单词,可知填复数名词ears ,耳朵.【小题2】句意:快餐本身并不是总是对你不好,但是吃太多快餐不好.结合语境及所给单词,可知填反身代词itself ,做主语同位语.故答案是itself .【小题3】句意:这个周末,阿历克斯要去野餐而不是呆在家.本句中of是介词,后面接名词或者动名词作宾语.根据所给单词,可知填动名词staying ,停留,呆.故填staying .考点:考查词语运用.【根底26】Julia was a very beautiful woman. She was tall and her skin was white and smooth. She only had one 【小题1】: she was a little bit fat. So she took part in a 【小题2】club, and didn ,t eat anything that might make her put on weight.At a party, Julia told us that she had 【小题3】her family ,s favorite delicious cake over the weekend, and they had eaten half of it at dinner that evening. The next day, Julia kept staring at the other half and finally she cut a 【小题4】piece for herself. One piece led to another, and soon she had finished the cake.She went on to tell us that she was so 【小题5】that she could not stop herself from eating the cake and her husband would be so unhappy. Everyone 【小题6】her, until someone asked: "What did your husband say when he found out?〞Julia smiled happily. "He 【小题7】found out,〞she answered. "I made another cake and ate half of that one too.〞【小题1】A. problem B. hope C. advantage【小题2】A. sports B. diet C. music【小题3】A. made B. bought C. eaten【小题4】A. large B. half C. small【小题5】A. surprised B. sad C. angry【小题6】A. thanked B. punished C. pitied【小题7】A. never B. seldom C. sometimes【答案】【小题1】A【小题2】B【小题3】A【小题4】C【小题5】B【小题6】C【小题7】A【小题2】考查语境理解及名词辨析.Sports运动;diet饮食;music音乐.联系后一句,可知她参加了一个饮食俱乐部,应选B .【小题3】考查语境理解及动词辨析.Made制作,使得;bought买;eaten吃.结合语境可知此处指的是,她给家人做了美味的蛋糕 .应选A .【小题4】考查语境理解及形容词辨析.Large大的;half一半的;small小的.结合语境可知她给自己切了一小块.应选C .【小题5】考查语境理解及形容词辨析.Surprised吃惊的;sad伤心的;angry 愤怒的.联系前两句描述,可知她非常伤心.应选B .【小题6】考查语境理解及动词辨析.Thanked感谢;punished惩罚;pitied同情.联系前两句描述,可知每个人都很同情她.应选C .【小题7】考查语境理解及副词辨析.Never从来不,永远不;seldom很少,不常;sometimes有时,偶尔.联系后一句描述,可知她的丈夫从来不会发现.应选A .考点:考查故事类短文【根底27】阅读下面对话,从A - -G7个选项中选择5个恰当的句子完成此对话.A.When does it take off?B.How about my hotel ?C.When does it arrive?,s your flight number?E.Li Wei speaking.F.When will meet you?G..I ,ll wait for you at the gate at 6:30.A: Hello, this is Lucy speaking. Is that Li Wei?B: Hi ,Lucy ! 【小题1】We are expecting your coming.A: Thank you! My plane leaves Beijing this afternoon.B: 【小题2】.A: It ,s CA1409.B: OK, CA1409. 【小题3】A: At 3:30 in the afternoon .B: Leaves at 3:30, and arrives…..A: It arrives at 6:10, and I ,ll have to wait some time for my luggage( 行李) .B: All right . 【小题4】A: Thanks a lot. 【小题5】B: I ,ve ordered a room for you in the center of the city near my home.A: Wonderful! See you then!B: See you!【答案】【小题1】E【小题2】D【小题3】A【小题4】G【小题5】B【解析】【小题1】联系上文,那时李伟吗?可知选E ,这是李伟在说话.【小题2】联系下文,是CA1409.可知选D ,你的航班号码是多少?【小题3】根据下文,在下午三点三十分.可知上文问的是时间,应选A ,什么时候起飞?【小题4】联系上一句描述及下文回应,可知本句提出了某种建议,选G ,六点三十分我会在门口等你 . 【小题5】联系下文,我已经为你在市中|心我家附近为你订了一个房间.可知选B ,我宾馆怎么样?考点:情景交际.【根底28】阅读以下短文,从每题所给的A、B、C、D四个选项中,选出最|正确答案,并在答题卡上将该项涂黑.Drough ts (干旱)are common in Kenya . Before ,they came every 10 years ,but now they seem to be hitting us more often and for a longer time .We gave the droughts names : "longoza〞was the drought when many animals died ; there was the drought of the "planes〞because food was dropped from the air by planes; and one particularly bad drought was called " man who dies with his money in his fist (拳头)〞,because ,even if there was money , there was simply no food to buy .I was born in 1951 in Machakos. From what my mother tells me , when I was 7, there was a serious drought .I clearly remember the terrible weather and the hunger. I can ,t tell you how many times I went to bed without eating . " I slept like that ,〞is how we described it . I can ,t count the number of days when " I slept like that,〞or describe the feeling of going to sleep hungry ,knowing I ,d wake up and there would still be no food for breakfast.My father would leave early in the morning carrying a little basket to ask for food on credit (赊欠). Each night he would return home around 10:00p.m. My mother would try to encourage me by telling me to keep the water in our pot boiling so that when my father arrived we could quickly cook any food he brought in the already prepared water . I would keep the fire burning and the water boiling , along with the hopes that we would eat that night. But my father would arrive frustrated and empty -handed. And I would sleep like that.【小题1】The best title for the text is ________.A. A Hungry Childhood Caused by DroughtsB. Food and HungerC. Protecting the EnvironmentD. Droughts and Their Names【小题2】What does the drought of the " longoza〞refer to (指代)?A. Many animals needed food dropped by planes.B. People had to eat animals because of hunger.C. Many animals died because of the droughts.D. People died of hunger even if they had money.【小题3】Why would the author keep the fire burning and the water boiling?A. To wait for her father to come back to have supper.B. To cook the food that her father would bring back.C. To keep her house warm all night.D. To make her hungry mother happy.【小题4】The sentence "I slept like that 〞means " ________.〞A. I was disappointed when my father came back empty -handedB. I felt sorry because my family got hungry againC. I went to sleep with no food for breakfast.D. I went to bed with nothing to eat【答案】【小题1】A【小题2】C【小题3】B【小题4】D【小题2】词义猜想题.根据下文was the drought when many animals died 描述,可知这个单词指的是,很多动物由于干旱死了.应选C .【小题3】细节理解题.根据My mother would try to encourage me by telling me to keep the water in our potboiling so that when my father arrived we could quickly cook any food he brought in the already prepared water . 描述,可知一直保持水开着是因为准备随时做饭.应选B .【小题4】句意理解题.联系前一句I can ,t tell you how many times I went to bed without eating . 描述,可知这句话指的是不吃饭就睡觉 .应选D .考点:考查人生百味类阅读【根底29】阅读以下内容,从每题所给的A、B、C、D四个选项中选出一个最|正确答案.C1.How many popular articles are there in the magazine?2.Which article is about saving money?A. Ice cream and banking.B. Black sheep and Uncle Bob.C. Relation between you and food.D. Films that aren ,t really about Canada.3.What is Black sheep and Uncle Bob about?A. American films.B. Family stories.C. Food.D. Banking.【答案】【小题1】C【小题2】A【小题3】B【解析】试题分析:此题主要通过表格形式介绍了四篇热门文章的文章大意.【小题1】细节理解题.本句表格内容,可知有四篇热门文章,应选C .【小题2】细节理解题.根据表格描述,可知第四篇Ice cream and banking 是有关节约资金的文章,应选A . 【小题3】细节理解题.根据表格描述,可知第二篇文章Black sheep and Uncle Bob ,是有关家庭故事的内容,应选B考点:广告布告类短文.【根底30】同学们,健康的生活习惯对于成长中的你们是非常重要的.请以How to Keep Healthy为题,从锻炼、饮食、睡眠及其它方面谈谈你的做法和看法 .要求:(1 ).语言表达准确,语意通顺、连贯;(2 ).书写工整、标准;(3 ).根据所给内容,请做适当发挥;(4 ).文中不得出现真实姓名和真实地名;(5 ).词数:70词左右.【答案】How to Keep HealthyAs we all know, it ,s very important to keep healthy. But do you know how to keep healthy?Firstly, I think we must have enough food to keep us healthy. Breakfast is necessary. It gives us energy for morning. We must also have the right kind of food. Remember to eat more fruit and vegetables, but less junk food. Don ,t forget to wash your hands before meals.Secondly, it ,s necessary for us to take exercise. Exercise will keep us active and strong.Thirdly, I think staying up is bad for our health. It we can ,t get enough sleep, we may have a headache. We should go to bed early and get up early.Lastly, listening to music or chatting can also make us feel relaxed.【亮点说明】这篇文章语言标准,叙事清楚,词汇及时态运用正确,能够把内容表达清楚,做到了首|尾照应,是一篇不错的文章.考点:话题作文.。
2015届英语最有可能考的30题1.—Do you think he is the only person for the job?—I’m not quite sure but he’ll prove_______ to the task.A. equalB. essentialC. specialD. superior2.He abandoned teaching_______ a career as a musician.A. in favor ofB. in terms ofC with regard to D. with reference to3.Mary has her weakness, ___________ that doesn’t mean she is not qualified for her job.A. andB. yetC. soD. or4.—It is said that John’s paper got an A.—He deserves it. He _________ a lot before he handed it in.A. preparedB. preparesC. had preparedD. has prepared5.Mike will become the first person in his family ______ college education.A. finishedB. having finishedC. finishingD. to finish6.______ worries me that my daughter plays with her cellphone for a long time every day.A. ItB. WhatC. ThisD. That7.Difficulties strengthen the mind, ______labor does the body.A. asB. whetherC. sinceD. because8.Ms. La Rosa put forward ______ policy that not many teachers gave ______ second thought to at the conference.A. the; 不填B. a; theC. the; theD. a; a9.Everyone present certainly thinks there ______ be a total ban on cigarette advertising.A. wouldB. couldC. shouldD. might10.—Do you think I should join the singing group, Mary?—______ If I were in your shoes, I certainly would.A.None of your business.B.It depends.C.Why not? D.I don‟t think so.11.阅读下面短文,从短文后各题所给的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项。
完形填空(共20小题;每小题1.5分,满分30分)I think I’m one of the luckiest people in the world because of the time I’m able to spend withyoung people who are not afraid to show their excitement and zest for life. 21 , I would prefer a person with passion and enthusiasm to a person with 22 and talent any day of the week. You can teach and develop skills, 23 you cannot develop a love of life and an optimistic attitude. These are 24 of a person and appear at all times during work or play. Furthermore, they are traits that one is born with and they will never 25 them.As a 26 and an Independent Education and Career Planning Advisor, I 27 too many children and young adults who are on a road to despair unless someone can find a way to change their attitude towards 28 and indeed life itself!29 , society has turned out too many children and young that are unwilling to put much30 or thought into their work. Whenever I come across such people—31 or old, I’m reminded of a boy who went with his mother on a blueberry picking hike into the 32 . The boy filled his 33 mostly with moss(苔藓) and then covered the moss with a thin layer of blueberries so that it looked 34 . But the next morning, he found the blueberry pie which his mother 35 for him was moss.So 36 , whether you are in school or 37 , if you have enthusiasm and if you are 38 to put in consistent effort along with passion, you will receive the 39 . If, on the other hand, you are 40 and prefer to take short-cuts, you should not expect to achieve the same results.21.【小题1】A. Obviously B. Personally C. Luckily D. Quickly22.【小题2】A. skills B. ideas C. kindness D. courage23.【小题3】A. or B. for C. but D. if24.【小题4】A. choices B. requests C. appearances D. characters25.【小题5】A. use B. deserve C. lose D. cherish26.【小题6】A. journalist B. doctor C. colleague D. teacher27.【小题7】A. search for B. come across C. care about[ D. depend on28.【小题8】A. learning B. donating C. speaking D. greeting29.【小题9】A. Eventually B. Unfortunately C. Hopefully D. Perfectly30.【小题10】A. equipment B. information C. effort D. possession31.【小题11】A. innocent[来源 B. young C. poor D. stupid32.【小题12】A. woods B. corner C. park D. market33.【小题13】A. mouth B. pan C. basketball D. hand34.【小题14】A. delicious B. beautiful C. clean D. full35.【小题15】A. collected B. baked C. kept D. bought36.【小题16】A. promise B. guess C. remember D. look37.【小题17】A. in danger B. in distance C. in hospital D. at work38.【小题18】A. willing B. confident C. proud D. careful39.【小题19】A. crop B. trust C. votes D. rewards40.【小题20】A. lazy B. busy C. curious D. stubborn12.完形填空A person should eat right,get some exercise,or he or she will look terrible in 25 years.And if the person drinks and smokes? Even__41__.That's the message from Blue Cross Blue Shield.The __42__,called “Future You”,uses a digital camera and computer to compare a person's current image with his or her future __43__ without changes in bad habits.“Smoking can __44_ your skin,” said Anna,a creative operation manager,“You can see what the results of the toxins(毒素) and the chemicals in__45__are.” Alon g with the potentially__46__sight of one's older self,Future You offers sciencebased__47__on what to eat,how much to exercise and other ways to __48__ your health.But will it work? Too __49_ to tell was the verdict(意见) of Anna.“I want to see some data!” s he said.Generally,Anna said,men show__50__concern about their appearance than women.“Women say,…That looks like my __51__on the screen,‟” she said.“Men are more likely to __52__,…Yeah,go ahead.Put it on Facebook.‟” The project was raised more than a year ago to improve the overall(总体的) health of the people who are __53_ of this company.In addition,the growth in the ranks of __54__customers would bring down the overall cost of health care.In coming weeks,two new ones will be __55__ in locations such as the American Tobacco Campus and the Museum of Natural Science.If users __56__,their information will be stored as secrets without names to create a database of good and bad __57__.The process is free and the response is not __58__,at least according to Valencia Robertson,one of a line of people who waited to __59__ the instrument on Thursday.“I'm good,” Robertson said after __60__ her future image.“It's not going to be a big difference.”41.【小题1】A.easier B.happier C.bitter D.worse42.【小题2】A.instrument B.picture C.place D.structure43.【小题3】A.wealth B.character C.appearance D.education44.【小题4】A.reflect B.bother C.ruin D.affect45.【小题5】A.cigarette B.beers C.medicines D.foods46.【小题6】A.confusing B.convincing C.depressing D.exciting47.【小题7】A.opinion B.plans C.thought D.advice48.【小题8】A.break B.damage C.preserve D.change49.【小题9】A.possible B.natural C.early D.clear50.【小题10】A.deeper B.less C.higher D.stronger51.【小题11】A.son B.father C.daughter D.mom52.【小题12】A.guess B.say C.doubt D.wonder53.【小题13】A.customers B.managers C.secretaries D.cleaners54.【小题14】A.cautious B.smart C.careless D.generous55.【小题15】A.showing up B.thought out C sold out D.dying out56.【小题16】A.know B.agree C.come D.listen57. 【小题17】A.habits B.choices C. methods D.plans58. 【小题18】A.nice B.cool C.strange D.bad59.【小题19】A.repair B.sell C.try D.buy60.【小题20】A.drawing B.viewing C.picturing D.imaging13.完形填空A few days ago, my sister Liz and I talked about Dad, and we decided to get him a little something for Father's Day. We talked about the times when we were 41 up and how Mom and Dad used to play the ‘good cop, bad cop’ thing on us. Dad has been a person of few words since we were 42 . He raised us more by 43 than anything else. When he spoke, though we listened, he was always mysterious and difficult to understand. There was always a(n) 44 meaning that I never got, but Liz always 45 to decipher(破解) him. By the time I got to high school, I had wanted a skateboard and I 46 I was too old to ask money from my parents, so I worked at a burger joint (美式汉堡店). One day, I was really angry about annoying burgers. I came home huffing and puffing(气喘吁吁). Dad saw me and asked me what was the 47 . I told him that I was fed up with annoying burgers. He said that we all have to start somewhere, that we may not know it now, but the skills we learn even in a burger joint might come in handy __48____in life, ‘Who knows, you might end up having to run a 49 or even own one when you grow up,’ said Dad. He 50 me down and I kept what he said in mind, even though I really didn’t agree with it.A couple of years later, when I got to college, I worked in a restaurant. During one of the really51 days that we had, we were short on kitchen staff. Our customers were getting impatient and the 52 were getting delayed. We were sure any minute something terrible would 53 out. I couldn’t stand the 54 any more, so I rolled up my sleeves, got myself a hair net and helped out in the hot kitchen. We caught up with the orders 55 . The owner saw what I did and called me over around 56 time. He said that he was very 57 . He raised my salary and made me the assistant manager even though I could only go part-time. That was 58 I realized that what my dad said to me all those years before was absolutely true.I’ve never forgotten what my dad said that day. And whenever I have to do something that requires new skills, no matter how insignificant or 59 it seems, I have a new perspective(看法) that it might really help me later on or even right now and I just don’t know it. Experience is everything and it 60 a lot when you take lessons from it. That’s my life’s philosophy.41. 【小题1】A. getting B. going C. growing D. coming42. 【小题2】A. schoolboys B. kids C. adults D. graduates43. 【小题3】A. instruction B. example C. order D. inspiration44. 【小题4】A. obvious B. clear C. reasonable D. hidden45. 【小题5】A. failed B. refused C. tried D. managed46. 【小题6】A. imagined B. promised C. believed D. suggested47. 【小题7】A. experience B. matter C. event D. accident48. 【小题8】A. later B. sooner C. latter D. late49. 【小题9】A. restaurant B. hospital C. school D. plant50. 【小题10】A. calmed B. wrote C. 1et D. put51. 【小题11】A. exciting B. worrying C. busy D. happy52 .【小题12】A. meetings B. parties C. menus D. orders53. 【小题13】A. break B. show C. go D. set54. 【小题14】A. quarrel B. 1aziness C. relaxation D. tension55. 【小题15】A. eventually B. regularly C. obviously D. thankfully56. 【小题16】A. breakfast B. 1unch C. opening D. closing57. 【小题17】A. influenced B. interested C. inspired D. impressed58. 【小题18】A. when B. why C. whether D. where59. 【小题19】A. important B. impressive C. interesting D. small60. 【小题20】A. works B. counts C. shows D. studies 14.阅读下面的短文,从短文后各题所给的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。