17-15年全国卷7选5题真题专练
2015至2017理科数学真题及答案解析全国卷1
2015至2017理科数学真题及答案解析全国卷12015年普通高等学校招生全国统一考试理科数学本试卷5页,23小题,满分150分。
考试用时120分钟。
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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.设复数z 满足1+z1z -=i ,则|z|=(A )1 (B (C (D )2 2.sin20°cos10°-con160°sin10°=(A)-(B (C )12- (D )123.设命题P :∃n ∈N ,2n >2n ,则⌝P 为(A )∀n ∈N, 2n >2n (B )∃ n ∈N, 2n ≤2n (C )∀n ∈N, 2n ≤2n (D )∃ n ∈N, 2n =2n4.投篮测试中,每人投3次,至少投中2次才能通过测试。
已知某同学每次投篮投中的概率为0.6,且各次投篮是否投中相互独立,则该同学通过测试的概率为 (A )0.648 (B )0.432 (C )0.36 (D )0.3125.已知M (x 0,y 0)是双曲线C :2212x y -= 上的一点,F 1、F 2是C 上的两个焦点,若1MF •2MF <0,则y 0的取值范围是(A )(-3,3) (B )(-6,6)(C )(3-3) (D )(3-,3)(A )5 (B ) 6 (C )7 (D )810.25()x x y ++的展开式中,52x y 的系数为 (A )10 (B )20 (C )30 (D )6011.圆柱被一个平面截去一部分后与半球(半径为r)组成一个几何体,该几何体三视图中的正视图和俯视图如图所示。
20152017解析几何全国卷高考真题
2015-2017解析几何全国卷高考真题2015-2017解析几何全国卷高考真题1、(2015年1卷5题)已知M (0,x y )是双曲线C :2212x y -=上的一点,12,F F 是C 上的两个焦点,若120MF MF •<,则0y 的取值范围是( )(A )(-3333) (B )(-3636)(C )(2222) (D )(2323) 【答案】A 【解析】由题知12(3,0),(3,0)F F -,220012x y -=,所以12MF MF •=0000(3,)(3,)x y x y --•- =2220003310x y y +-=-<,解得033y << A.考点:双曲线的标准方程;向量数量积坐标表示;一元二次不等式解法.2、(2015年1卷14题)一个圆经过椭圆221164x y +=的三个顶点,且圆心在x 轴的正半轴上,则该圆的标准方程为 .【答案】22325()24x y -+=【解析】设圆心为(a ,0),则半径为4a -,则222(4)2a a -=+,解得32a =,故圆的方程为22325()24x y -+=.考点:椭圆的几何性质;圆的标准方程3、(2015年1卷20题)在直角坐标系xoy 中,曲线C :y=24x 与直线y kx a =+(a >0)交与M,N 两点, (Ⅰ)当k=0时,分别求C 在点M 和N 处的切线方程;(Ⅱ)y 轴上是否存在点P ,使得当k 变动时,总有∠OPM=∠OPN ?说明理由. 【答案】0ax y a --=0ax y a ++=(Ⅱ)存在【解析】试题分析:(Ⅰ)先求出M,N 的坐标,再利用导数求出M,N.(Ⅱ)先作出判定,再利用设而不求思想即将y kx a =+代入曲线C 的方程整理成关于x 的一元二次方程,设出M,N 的坐标和P 点坐标,利用设而不求思想,将直线PM ,PN 的斜率之和用a 表示出来,利用直线PM ,PN 的斜率为0,即可求出,a b 关系,从而找出适合条件的P 点坐标. 试题解析:(Ⅰ)由题设可得(2,)M a a ,(22,)N a -,或(22,)M a -,(2,)N a a .∵12y x'=,故24x y =在x =22a处的到数值为a C 在(22,)a a 处的切线方程为(2)y a a x a --0ax y a --=.故24x y =在x =-22a处的到数值为a C 在(22,)a a -处的切线方程为(2)y a a x a -=-+0ax y a ++=. 故所求切线方程为ax y a --=0ax y a ++=.(Ⅱ)存在符合题意的点,证明如下: 设P (0,b )为复合题意得点,11(,)M x y ,22(,)N x y ,直线PM ,PN 的斜率分别为12,k k .将y kx a =+代入C 得方程整理得2440x kx a --=.∴12124,4x xk x x a+==-. ∴121212y b y bk kx x --+=+=1212122()()kx xa b x x x x +-+=()k a b a +.当b a =-时,有12k k +=0,则直线PM 的倾斜角与直线PN 的倾斜角互补,故∠OPM=∠OPN ,所以(0,)P a -符合题意. 考点:抛物线的切线;直线与抛物线位置关系;探索新问题;运算求解能力4、(2015年2卷7题)过三点(1,3)A ,(4,2)B ,(1,7)C -的圆交y 轴于M ,N 两点,则||MN =( ) A .26 B .8 C .46 D .10 【解析】由已知得321143ABk-==--,27341CBk+==--,所以1AB CB k k =-,所以AB CB ⊥,即ABC ∆为直角三角形,其外接圆圆心为(1,2)-,半径为5,所以外接圆方程为22(1)(2)25x y -++=,令0x =,得262y =±-,所以46MN =,故选C .考点:圆的方程.5、(2015年2卷11题).已知A ,B 为双曲线E 的左,右顶点,点M 在E 上,∆ABM 为等腰三角形,且顶角为120°,则E 的离心率为( ) A .5 B .2 C .3 D .2 【解析】设双曲线方程为22221(0,0)x y a b a b -=>>,如图所示,AB BM =,0120ABM ∠=,过点M 作MN x ⊥轴,垂足为N ,在Rt BMN ∆中,BN a =,3MN a=,故点M 的坐标为(2,3)M a a ,代入双曲线方程得2222ab ac ==-,即222c a =,所以2e =,故选D .考点:双曲线的标准方程和简单几何性质.6、(2015年2卷20题)(本题满分12分)已知椭圆222:9(0)C xy m m +=>,直线l 不过原点O 且不平行于坐标轴,l 与C 有两个交点A ,B ,线段AB 的中点为M.(Ⅰ)证明:直线OM 的斜率与l 的斜率的乘积为定值;(Ⅱ)若l 过点(,)3mm ,延长线段OM 与C 交于点P ,四边形OAPB 能否为平行四边形?若能,求此时l 的斜率,若不能,说明理由.【解析】(Ⅰ)设直线:l y kx b =+(0,0)k b ≠≠,11(,)A x y ,22(,)B x y ,(,)M M M x y . 将y kx b=+代入2229xy m +=得2222(9)20kx kbx b m +++-=,故12229M x x kbx k +==-+,299M M by kx b k =+=+.于是直线OM 的斜率9M OMM y kx k==-,即9OM k k ⋅=-.所以直线OM 的斜率与l 的斜率的乘积为定值.(Ⅱ)四边形OAPB 能为平行四边形.因为直线l 过点(,)3m m ,所以l 不过原点且与C 有两个交点的充要条件是0k >,3k ≠.由(Ⅰ)得OM 的方程为9y x k=-.设点P 的横坐标为Px .由2229,9,y x k x y m ⎧=-⎪⎨⎪+=⎩得2222981Pk m xk =+,即239Pxk =+.将点(,)3mm 的坐标代入直线l 的方程得(3)3m k b -=,因此2(3)3(9)M mk k x k -=+.四边形OAPB 为平行四边形当且仅当线段AB 与线段OP 互相平分,即2PMxx =239k =+2(3)23(9)mk k k -⨯+.解得147k =247k=因为0,3iik k >≠,1i =,2,所以当l 的斜率为4747OAPB 为平行四边形.考点:1、弦的中点问题;2、直线和椭圆的位置关系.7、(2016年1卷5题)(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 )(3- (C )()0,3 (D )(3 【答案】A考点:双曲线的性质【名师点睛】双曲线知识一般作为客观题学生出现,主要考查双曲线几何性质,属于基础题.注意双曲线的焦距是2c不是c,这一点易出错.8、(2016年1卷10题)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|=2,|DE|=25则C的焦点到准线的距离为(A)2 (B)4 (C)6 (D)8【答案】B考点:抛物线的性质.【名师点睛】本题主要考查抛物线的性质及运算,注意解析几何问题中最容易出现运算错误,所以解题时一定要注意运算的准确性与技巧性,基础题失分过多是相当一部分学生数学考不好的主要原因.9、(2016年1卷20题)(本小题满分12分)设圆222150xy x ++-=的圆心为A ,直线l 过点B (1,0)且与x 轴不重合,l 交圆A 于C ,D 两点,过B 作AC 的平行线交AD 于点E .(I )证明EA EB +为定值,并写出点E 的轨迹方程; (II )设点E 的轨迹为曲线C 1,直线l 交C 1于M ,N 两点,过B 且与l 垂直的直线与圆A 交于P ,Q 两点,求四边形MPNQ 面积的取值范围. 【答案】(Ⅰ)13422=+y x (0≠y )(II ))38,12[试题解析:(Ⅰ)因为||||AC AD =,AC EB //,故ADCACD EBD ∠=∠=∠,所以||||ED EB =,故||||||||||AD ED EA EB EA =+=+. 又圆A 的标准方程为16)1(22=++y x ,从而4||=AD ,所以4||||=+EB EA .由题设得)0,1(-A ,)0,1(B ,2||=AB ,由椭圆定义可得点E 的轨迹方程为:13422=+y x (0≠y ).(Ⅱ)当l 与x 轴不垂直时,设l 的方程为)0)(1(≠-=k x k y ,),(11y x M ,),(22y x N .由⎪⎩⎪⎨⎧=+-=134)1(22y x x k y 得01248)34(2222=-+-+k x k x k .则3482221+=+k k x x ,341242221+-=k k x x . 所以34)1(12||1||22212++=-+=k k x x k MN .过点)0,1(B 且与l 垂直的直线m :)1(1--=x k y ,A 到m 的距离为122+k ,所以1344)12(42||22222++=+-=k k k PQ .故四边形MPNQ 的面积341112||||212++==k PQ MN S .可得当l 与x 轴不垂直时,四边形MPNQ 面积的取值范围为)38,12[.当l 与x 轴垂直时,其方程为1=x ,3||=MN ,8||=PQ ,四边形MPNQ 的面积为12.综上,四边形MPNQ 面积的取值范围为)38,12[.考点:圆锥曲线综合问题【名师点睛】高考解析几何解答题大多考查直线与圆锥曲线的位置关系,直线与圆锥曲线的位置关系是一个很宽泛的考试内容,主要由求值、求方程、求定值、最值、求参数取值范围等几部分组成, .其中考查较多的圆锥曲线是椭圆与抛物线,解决这类问题要重视方程思想、函数思想及化归思想的应用.10、(2016年2卷4题)圆2228130xy x y +--+=的圆心到直线10ax y +-= 的距离为1,则a=(A )43- (B )34- (C 3 (D )2 【解析】A 圆化为标准方程为:,2228130xy x y +--+=()()22144x y -+-=故圆心为,,解得,故选A .11、(2016年2卷11题)已知1F ,2F 是双曲线E :22221x y a b -=的左,右焦点,点M 在E 上,1MF 与x 轴垂直,sin2113MF F ∠=,则E 的离心率为2(B )32(C 3 (D )2 【解析】A 离心率,由正弦定理得.12、(2016年2卷20题)(本小题满分12分) 已知椭圆E :2213x y t +=的焦点在x 轴上,A 是E 的左顶点,斜率为(0)k k >的直线交E 于A ,M 两点,点N 在E 上,MA ⊥NA.(I )当4t =,AM AN =时,求△AMN 的面积; (II )当2AM AN =时,求k 的取值范围. 【解析】 ⑴当时,椭圆E 的方程为,A点坐标为,则直线AM 的方程为.()14,24111a d a +-==+43a =-1221F F e MF MF =-12211222sin 321sin sin 13F F M e MF MF F F ====---4t =22143x y +=()20-,()2y k x =+联立并整理得,解得或,则因为,所以因为,, ,整理得, 无实根,所以.所以的面积为.⑵直线AM 的方程为, 联立并整理得,解得或所以所以因为()221432x y y k x ⎧+=⎪⎨⎪=+⎩()2222341616120k xk x k +++-=2x =-228634k x k -=-+2222286121213434k AM k k k k -=++=+++AM AN ⊥2221121211413341AN k k k kk ⎛⎫=+-=+ ⎪⎝⎭⎛⎫++⋅- ⎪⎝⎭AM AN =0k >2221212114343k k k k k++++()()21440k k k --+=2440k k -+=1k =AMN △22111214*********AM ⎫=+=⎪+⎭(y k x t =+(2213x y t y k x t ⎧+=⎪⎨⎪=+⎩()222223230tk xtk x t k t +++-=x t =23t tk t x -=2223611t tk t tAM k t k -+=+2613t AN k k k=++2AM AN =所以,整理得,.因为椭圆E 的焦点在x 轴,所以,即,整理得.13、(2016年3卷11题)已知O 为坐标原点,F 是椭圆C :22221(0)x y a b a b +=>>的左焦点,,A B 分别为C 的左,右顶点.P 为C 上一点,且PF x ⊥轴.过点A 的直线l 与线段PF 交于点M ,与y 轴交于点E .若直线BM 经过OE的中点,则C 的离心率为( )(A )13(B )12(C )23(D )34【答案】A考点:椭圆方程与几何性质.【思路点拨】求解椭圆的离心率问题主要有三种方法:(1)直接求得,a c 的值,进而求得e 的值;22662113t t k k k k+=++23632k k t k -=-3t >236332k kk ->-()()231202kk k +-<-322k <(2)建立,,a b c的齐次等式,求得ba或转化为关于e的等式求解;(3)通过特殊值或特殊位置,求出e.14、(2016年3卷16题)已知直线l:330mx y m++=与圆2212x y+=交于,A B两点,过,A B分别做l的垂线与x轴交于,C D两点,若23AB=,则||CD=__________________.【答案】4考点:直线与圆的位置关系.【技巧点拨】解决直线与圆的综合问题时,一方面,要注意运用解析几何的基本思想方法(即几何问题代数化),把它转化为代数问题;另一方面,由于直线与圆和平面几何联系得非常紧密,因此,准确地作出图形,并充分挖掘几何图形中所隐含的条件,利用几何知识使问题较为简捷地得到解决.15、(2016年3卷20题)已知抛物线C:22y x=的焦点为F,平行于x轴的两条直线12,l l分别交C于,A B两点,交C 的准线于P Q ,两点.(I )若F 在线段AB 上,R 是PQ 的中点,证明ARFQ;(II )若PQF ∆的面积是ABF ∆的面积的两倍,求AB 中点的轨迹方程.【答案】(Ⅰ)见解析;(Ⅱ)21y x =-.试题解析:由题设)0,21(F .设by la y l ==:,:21,则0≠ab ,且)2,21(),,21(),,21(),,2(),0,2(22b a R b Q a P b b B a A +---.记过BA ,两点的直线为l ,则l 的方程为0)(2=++-ab y b a x . .....3分(Ⅰ)由于F 在线段AB 上,故01=+ab . 记AR的斜率为1k ,FQ的斜率为2k ,则222111k b aaba ab a b a a b a k =-=-==--=+-=,所以AR FQ. ......5分(Ⅱ)设l 与x 轴的交点为)0,(1x D , 则2,2121211b a S x a b FD a b S PQF ABF -=--=-=∆∆.由题设可得221211b a x a b -=--,所以01=x (舍去),11=x.设满足条件的AB 的中点为),(y x E . 当AB 与x 轴不垂直时,由DEABk k =可得)1(12≠-=+x x yb a .而y ba =+2,所以)1(12≠-=x x y .当AB 与x 轴垂直时,E 与D 重合,所以,所求轨迹方程为12-=x y . ....12分考点:1、抛物线定义与几何性质;2、直线与抛物线位置关系;3、轨迹求法.【方法归纳】(1)解析几何中平行问题的证明主要是通过证明两条直线的斜率相等或转化为利用向量证明;(2)求轨迹的方法在高考中最常考的是直接法与代入法(相关点法),利用代入法求解时必须找准主动点与从动点. 16、(2017年1卷15题)已知双曲线2222:x y C a b-,(0a >,b >)的右顶点为A ,以A 为圆心,b 为半径作圆A ,圆A 与双曲线C 的一条渐近线交于M ,N两点,若60MAN ∠=︒,则C 的离心率为_______.23【解析】如图,OA a=,AN AM b ==∵60MAN ∠=︒,∴3AP =,222234OP OA PA a b =--∴2232tan 34AP OP a b θ==-又∵tan b aθ=223234b a a b =-,解得223ab =∴22123113b e a ++17、(2017年1卷20题)已知椭圆C :22221x y a b+=()0a b >>,四点()111P ,,()201P ,,331P ⎛- ⎝⎭,,431P ⎛ ⎝⎭,中恰有三点在椭圆C 上.(1)求C 的方程; (2)设直线l 不经过2P 点且与C 相交于A 、B 两点,若直线2P A 与直线2P B 的斜率的和为1-,证明:l 过定点.【解析】(1)根据椭圆对称性,必过3P 、4P又4P 横坐标为1,椭圆必不过1P ,所以过234P P P ,,三点将()233011P P ⎛- ⎝⎭,,,代入椭圆方程得222113141b ab ⎧=⎪⎪⎨⎪+=⎪⎩,解得24a=,21b= ∴椭圆C 的方程为:2214x y +=.(2)①当斜率不存在时,设()():A A l x m A m y B m y =-,,,, 221121A A P A P B y y k k m m m----+=+==-得2m =,此时l 过椭圆右顶点,不存在两个交点,故不满足.②当斜率存在时,设()1l y kx b b =+≠∶()()1122A x y B x y ,,,联立22440y kx bx y =+⎧⎨+-=⎩,整理得()222148440k xkbx b +++-=122814kbx x k -+=+,21224414b x x k -⋅=+则22121211P A P B y y k k x x --+=+()()21212112x kx b x x kx b x x x +-++-=222228888144414kb k kb kb k b k --++=-+()()()811411k b b b -==-+-,又1b ≠21b k ⇒=--,此时64k ∆=-,存在k 使得0∆>成立.∴直线l 的方程为21y kx k =-- 当2x =时,1y =-所以l 过定点()21-,.18、(2017年2卷9题)若双曲线C :22221x y a b-=(0a >,0b >)的一条渐近线被圆()2224x y -+=所截得的弦长为2,则C的离心率为( ) A .2 B .3 C .2D .233【命题意图】主要考查双曲线的性质及直线与圆的位置关系,意在考查考生的转化与化归思想. 【解析】解法一:常规解法根据双曲线的标准方程可求得渐近线方程为b y x a =±,根据直线与圆的位置关系可求得圆心到 渐进线的距离为3,∴ 圆心到渐近线的距离为221bab a ⋅⎛⎫+ ⎪⎝⎭,即2231b ab a ⋅=⎛⎫+ ⎪⎝⎭,解得2e =.解法二:待定系数法设渐进线的方程为y kx =,根据直线与圆的位置关系可求得圆心到渐进线的距离为3, ∴ 圆心到渐近线的距离为221k k+,即2231k k=+,解得23k=;由于渐近线的斜率与离心率 关系为221k e =-,解得2e =.19、(2017年2卷16题)已知F 是抛物线C :28yx=的焦点,M 是C 上一点,F M 的延长线交y 轴于点N .若M为F N 的中点,则F N = .【命题意图】本题主要考查抛物线的定义及直线与抛物线的位置关系,意在考查考生的转化与 化归思想运算求解的能力 【解析】解法一:几何法∵ 点M 为线段NF 的中点 ∴ 1Mx=∴ 23MMF x=+=∴ 26NF MF ==【知识拓展】本题从抛物线定义入手,定比分点求坐标,这是基础概念题,课本习题常有练习.20、(2017年2卷20题)设O 为坐标原点,动点M 在椭圆C :2212x y +=上,过M 做x 轴的垂线,垂足为N ,点P 满足2NP NM=.(1) 求点P 的轨迹方程;(2) 设点Q 在直线x =-3上,且1OP PQ ⋅=.证明:过点P 且垂直于OQ 的直线l 过C 的左焦点F . 【命题意图】椭圆,定值问题的探索;运算求解能力【基本解法】(Ⅰ)解法一:相关点法求轨迹:设()0,M x y ,()0,0N x ,(),P x y ,则:()0,NP x x y =-,()00,NM y =.又2NP NM=,所以:())0,20,x x y y -=,则:0,2x x y ==.又()0,M x y 在椭圆C 上,所以:220012x y +=。
2015年-2017年普通高等学校招生全国统一考试物理试题(江苏卷,参考版解析)
学霸推荐学习七法一、听视并用法上课听和看注意力集中一、听思并用法上课听老师讲并思考问题三、符号助记法在笔记本上课本上做记号标记四、要点记取法重点要点要在课堂上认真听讲记下五、主动参与法课堂上积极主动的参与老师的讲题互动六、听懂新知识法听懂老师讲的新知识并做好标记七、目标听课法课前预习不懂得标记下,在课堂上不会的标记点认真听讲做笔记带着求知的好奇心听课,听不明白的地方就标记下来,并且课后积极的询问并弄懂这些知识,听明白的知识点也要思考其背后的知识点,打牢基础。
2015年普通高等学校招生全国统一考试物理试题(江苏卷,参考版解析)一、单向选择题:本题共5小题,每小题3分,共15分1.一电器中的变压器可视为理想变压器,它将220V 交变电流改为110V ,已知变压器原线圈匝数为800,则副线圈匝数为A .200B .400C .1600D .3200 【答案】B【解析】:根据变压器的变压规律2121n n U U ,可求副线圈匝数为400,所以B 正确。
2.静电现象在自然界中普遍存在,我国早在西汉末年已有对静电现象的记载《春秋纬 考异邮》中有玳瑁吸衣若只说,但下列不属于静电现象的是 A .梳过头发的塑料梳子吸起纸屑B .带电小球移至不带电金属球附近,两者相互吸引C .小线圈接近通电线圈过程中,小线圈中产生电流D .从干燥的地毯走过,手碰到金属把手时有被电击的感觉 【答案】C【解析】:小线圈接近通电线圈过程中,消息安全中产生感应电流是电磁感应现象,不是静电现象,所以C 正确。
3.过去几千年来,人类对行星的认识与研究仅限于太阳系内,行星“51 peg b ”的发现拉开了研究太阳系外行星的序幕。
“51 peg b ”绕其中心恒星做匀速圆周运动,周期约为4天,轨道半径约为地球绕太阳运动半径为120,该中心恒星与太阳的质量比约为 A .110B .1C .5D .10 【答案】B4.如图所示,用天平测量匀强磁场的磁感应强度,下列各选项所示的载流线圈匝数相同,边长NM 相等,将它们分别挂在天平的右臂下方,线圈中通有大小相同的电流,天平处于平衡状态,若磁场发生微小变化,天平最容易失去平衡的是【答案】A5.如图所示,某“闯关游戏”的笔直通道上每隔8m 设有一个关卡,各关卡同步放行和关闭,放行和关闭的时间分别为5s 和2s 。
2015年-2017年普通高等学校招生全国统一考试数学试题(江苏卷,含解析)
高考衣食住用行衣:高考前这段时间,提醒同学们出门一定要看天气,否则淋雨感冒,就会影响考场发挥。
穿着自己习惯的衣服,可以让人在紧张时产生亲切感和安全感,并能有效防止不良情绪产生。
食:清淡的饮食最适合考试,切忌吃太油腻或者刺激性强的食物。
如果可能的话,每天吃一两个水果,补充维生素。
另外,进考场前一定要少喝水!住:考前休息很重要。
好好休息并不意味着很早就要上床睡觉,根据以往考生的经验,太早上床反而容易失眠。
考前按照你平时习惯的时间上床休息就可以了,但最迟不要超过十点半。
用:出门考试之前,一定要检查文具包。
看看答题的工具是否准备齐全,应该带的证件是否都在,不要到了考场才想起来有什么工具没带,或者什么工具用着不顺手。
行:看考场的时候同学们要多留心,要仔细了解自己住的地方到考场可以坐哪些路线的公交车?有几种方式可以到达?大概要花多长时间?去考场的路上有没有修路堵车的情况?考试当天,应该保证至少提前20分钟到达考场。
2015年普通高等学校招生全国统一考试数学试题(江苏卷,含解析)一、填空题:本大题共14个小题,每小题5分,共70分.1.已知集合{}3,2,1=A ,{}5,4,2=B ,则集合B A Y 中元素的个数为_______. 【答案】5 【解析】试题分析:{123}{245}{12345}5A B ==U U ,,,,,,,,,个元素考点:集合运算2.已知一组数据4,6,5,8,7,6,那么这组数据的平均数为________. 【答案】6考点:平均数3.设复数z 满足234z i =+(i 是虚数单位),则z 的模为_______. 【答案】5 【解析】试题分析:22|||34|5||5||5z i z z =+=⇒=⇒= 考点:复数的模4.根据如图所示的伪代码,可知输出的结果S 为________.【答案】7 【解析】试题分析:第一次循环:3,4S I ==;第二次循环:5,7S I ==;第三次循环:7,10S I ==;结束循环,输出7.S =考点:循环结构流程图5.袋中有形状、大小都相同的4只球,其中1只白球,1只红球,2只黄球,从中一次随机摸出2只球,则这2只球颜色不同的概率为________. 【答案】5.6S ←1 I ←1 While I <10 S ←S +2 I ←I +3 End While Print S(第4题图)考点:古典概型概率6.已知向量a =)1,2(,b=)2,1(-, 若m a +n b =)8,9(-(R n m ∈,), n m -的值为______. 【答案】3- 【解析】试题分析:由题意得:29,282,5, 3.m n m n m n m n +=-=-⇒==-=- 考点:向量相等 7.不等式224x x-<的解集为________.【答案】(1,2).- 【解析】试题分析:由题意得:2212x x x -<⇒-<<,解集为(1,2).- 考点:解指数不等式与一元二次不等式 8.已知tan 2α=-,()1tan 7αβ+=,则tan β的值为_______. 【答案】3 【解析】试题分析:12tan()tan 7tan tan() 3.21tan()tan 17αβαβαβααβα++-=+-===++- 考点:两角差正切公式9. 现有橡皮泥制作的底面半径为5,高为4的圆锥和底面半径为2、高为8的圆柱各一个。
【精品】历年全国卷123高考英语真题七选五习题集含答案共18篇
Building Trust in a Relationship AgainTrust is a learned behavior that we gain from past experiences. 36.___________ Trust is a risk. But you can’t be successful when there’s a lack of trust in a relationship that results from an action where the wrongdoer takes no responsibility to fix the mistake.Unfortunately, we’ve all been victims of betrayal. Whether we’ve been stolen from, lied to, misled, or cheated on, there are different levels of losing trust. Sometimes people simply can’t trust anymore. 37. __________ It’s understandable, but if you’re willing to build trust in a relationship again, we have some steps you can take to get you there.◆38. ___________ Having confidence in yourself will help you make better choices because you can see what the best outcome would be for your well-being.◆39. ___________ If you’ve been betrayed, you are the victim of your circumstance. But there’s a difference between being a victim and living with a “victim mentality”. At some point in all of our lives, we’ll have our trust tested or violated.◆You didn’t lose “everything”. Once trust is lost, what is left? Instead of looking at the situation from this hopeless angle, look at everything you still have and be thankful for all of the good in your life. 40. ___________ Instead, it’s a healthy way to work through the experience to allow room for positive growth and forgiveness.A. Learn to really trust yourself.B. It is putting confidence in someone.C. Stop regarding yourself as the victim.D. Remember that you can expect the best in return.E. They’ve been too badly hurt and they can’t bear to let it happen again.F. This knowledge carries over in their attitude toward their future relationships.G. Seeing the positive side of things doesn’t mean you’re ignoring what happened.答案:BEACGSecret codes (密码) keep messages private. Banks, companies, and government agencies use secret codes in doing business, especially when information is sent by computer.People have used secret codes for thousands of years. 36 Code breaking never lags (落后) far behind code making. The science of creating and reading coded messages is called cryptography.There are three main types of cryptography. 37 For example, the first letters of “My elephant eats too many eels” s pell out the hidden message “Meet me.”38 You might represent each letter with a number, for example. Let’s number the letters of the alphabet, in order, from 1 to 26. If we substitute a number for each letter, the message “Meet me” would read “13 5 5 20 13 5.”A code uses symbols to replace words, phrases, or sentences. To read the message of a real code, you must have a code book. 39 For example, “bridge” might stand for “meet” and “out” might stand for “me.” The message “Bridge out” would actually mean “Meet me.” 40 However, it is also hard to keep a code book secret for long. So codes must be changed frequently.A. It is very hard to break a code without the code book.B. In any language, some letters are used more than others.C. Only people who know the keyword can read the message.D. As long as there have been codes, people have tried to break them.E. You can hide a message by having the first letters of each word spell it out.F. With a code book, you might write down words that would stand for other words.G. Another way to hide a message is to use symbols to stand for specific letters of the alphabet.答案:DEGFAIf anyone had told me three years ago that I would be spending most of my weekends camping. I would have laughed heartily. Campers, in my eyes, were people who enjoyed insect bites, ill-cooked meals, and uncomfortable sleeping bags. They had nothing in common with me. 36 .The friends who introduced me to camping thought that it meant to be a pioneer.37 We sleep in a tent, cooked over an open fire, and walked a long distance to take the shower and use the bathroom. This brief visit with Mother Nature cost me two days off from work, recovering from a bad case of sunburn and the doctor’s bill for my son’s food poisoning.I was, nevertheless, talked into going on another fun-filled holiday in the wilderness. 38 Instead, we had a pop-up camper with comfortable beds and an air conditioner. My nature-loving friends had remembered to bring all the necessities of life.39 We have done a lot of it since. Recently, we bought a twenty-eight-foot travel trailer complete with a bathroom and a built-in TV set. There is a separate bedroom, a modern kitchen with a refrigerator. The trailer even has matching carpet and curtains.40 It must be true that sooner or later, everyone finds his or her way back to nature. I recommend that you find your way in style.A. This time there was no tent.B. Things are going to be improved.C. The trip they took me on was a rough one.D. I was to learn a lot about camping since then,however.E. I must say that I have certainly come to enjoy camping.F. After the trip, my family became quite interested in camping.G. There was no shade as the trees were no more than 3 feet tall.答案:DCAFEColor is fundamental in home design — something you’ll always have in every room. A grasp of how to manage color in your spaces is one of the first steps to creating rooms you’ll love to live in. Do you want a room that’s full of life? Professional? Or are you just looking for a place to relax after a long day? 36 , color is the key to making a room feel the way you want it to feel.Over the years, there have been a number of different techniques to help designers approach this important point. 37 , they can get a little complex. But good news is that there’re really only three kinds of decisions you need to make about color in your home: the small ones, the medium ones, and the large ones.38 . They’re the little spots of color like throw pillows, mirrors and baskets that most of us use to add visual interest to our rooms. Less tiring than painting your walls and less expensive than buying a colorful sofa, small color choices bring with them the significant benefit of being easily changeable.Medium color choices are generally furniture pieces such as sofas, dinner tables or bookshelves 39 . They require a bigger commitment than smaller ones, and they have a more powerful effect on the feeling of a space.The large color decisions in your rooms concern the walls, ceilings, and floors. Whether you’re looking at wallpaper or paint, the time, effort and relative expense put into it are significant. 40 .A. While all of them are usefulB. Whatever you’re looking forC. If you’re experimenting with a colorD. Small color choices are the ones we’re most familiar withE. It’s not really a good idea to use too many small color piecesF. So it pays to be sure, because you want to get it right the first timeG. Color choices in this range are a step up from the small ones in two major ways答案:BADGFIs Fresh Air Really Good for You?We all grew up hearing people tell us to "go out and get some fresh air".36 According to recent studies, the answer is a big YES, if the air quality in your camping area is good.37 If the air you’re breathing is clean —which it would be if you’re away from the smog of cities —then the air is filled with life-giving, energizing oxygen. If you exercise out of doors, your body will learn to breathe more deeply, allowing even more oxygen to get to your muscles(肌肉)and your brain.Recently, people have begun studying the connection between the natural world and healing(治愈). 38 In these places patients can go to be near nature during their recovery. It turns out that just looking at green, growing things can reduce stress, lower blood pressure, and put people into a better mood(情绪). Greenery is good for us. Hospital patients who see tree branches out their window are likely to recover at a faster rate than patients who see buildings or sky instead. 39 It gives us a great feeling of peace.40 While the sun’s rays can age and harm our skin, they also give us beneficial Vitamin D. To make sure you get enough Vitamin D —but still protect your skin —put on sunscreen right as you head outside. It takes sunscreen about fifteen minutes to start working, and that’s plenty of time for your skin to absorb a day’s worth of Vitamin D.A. Fresh air cleans our lungs.B. So what are you waiting for?C. Being in nature refreshes us.D. Another side benefit of getting fresh air is sunlight.E. But is fresh air really as good for you as your mother always said?F. Just as importantly, we tend to associate fresh air with health care.G. All across the country, recovery centers have begun building Healing Gardens.答案:36. E 37. A 38. G 39. C 40. DA Few Tips for Self-AcceptanceWe all want it to accept and love ourselves. But at times it seems too difficult and too far out of reach. 36 Here’s a handful of ways that will set you in the right direction.● 37 Do not follow the people who make you feel not-good-enough. Why do you follow them? Are you hoping that eventually you will feel empowered because your life is better than theirs? Know that your life is your own;you are the only you in this world.●Forgive yourself for mistakes that you have made. We are often ashamed of our shortcomings, our mistakes and our failures. 38 You will make mistakes, time and time again. Rather than getting caught up in how you could have done better, why not offer yourself a compassionate (有同情心) response? "That didn’t go as planned. But, I tried my best."●Recognize all of your strengths. Write them down in a journal. Begin to train your brain to look at strength before weakness. List all of your accomplishments and achievements. You have a job, earned your degree, and you got out of bed today.39●Now that you’ve listed your strengths, list your imperfections. Turn the page in your journal. Put into words why you feel unworthy, why you don’t feel good enough. Now, read these words back to yourself. 40 Turn to a page in your journal to your list of strengths and achievements. See how awesome you are?A. Feeling upset again?B. Where do you start?C. Nothing is too small to celebrate.D. Remember, you are only human.E Set an intention for self-acceptance.F. Stop comparing yourself with others.G. When does the comparison game start?答案:36. B 37. F 38. D 39. C 40. ATraining for a marathon requires careful preparation and steady, gradual increases in the length of the runs. ___36___, buy the best-fitting, best-built running shoes you can find. No one can say which brand will work best for you or feel best on your feet, so you have to rely on your experience and on the feel of each pair as you shop. When you have found shoes that seem right, walk in them for a few days to double-check the fit. ___37___. As always, you should stretch (伸展) at least ten minutes before each run to prevent injuries.During the first week, do not think about distance, but run five minutes longer each day. ___38___, it is wise to take a day off to rest. But during the next week, set a goal of at least a mile and a half per run. ___39___. After two weeks, start timing yourself. ___40___. Depending on the kind of race you plan to enter,you can set up a timetable for the remaining weeks before the race.A. After six daysB. For a good marathon runnerC. Before you begin your trainingD. With each day, increase the distance by a half mileE. If they still feel good,you can begin running in themF. Time spent for preparation raises the quality of trainingG. Now you are ready to figure out a goal of improving distance and time答案:CEADGA garden that’s just right for youHave you ever visited a garden that seemed just right for you, where the atmosphere of the garden appeared to total more than the sum(总和) of its parts?36 . But it doesn’t happen by accident. It starts with looking inside yourself and understanding who you are with respect to the natural world and how you approach the gardening process.● 37Some people may think that a garden is no more than plants, flowers, patterns and masses of color. Others are concerned about using gardening methods that require less water and fewer fertilizers(肥料). 38 . However, there are a number of other reasons that might explain why you want to garden. One of them comes from our earliest years.●Recall(回忆) your childhood memoriesOur model of what a garden should be often goes back to childhood. Grandma’s rose garden and Dad’s vegetable garden might be good or bad, but that’s not what’s important. 39 ― how being in those gardens made us feel. If you’d like to build a powerful bond with your garden, start by taking some time to recall the gardens of your youth. 40 . Then go outside and work out a plan to translate your childhood memories into your grown-up garden. Have fun.A. Know why you gardenB. Find a good place for your own gardenC. It’s our experience of the garden that mattersD. It’s delightful to see so many beautiful flowersE. Still others may simply enjoy being outdoors and close to plantsF. You can produce that kind of magical quality in your own garden, tooG. For each of those gardens, write down the strongest memory you have答案:36. F 37. A 38. E 39. C 40. GInterruptions are one of the worst things to deal with while you’re trying to get work done. 36 , there are several ways to handle things. Let’s take a look at them now.37 . Tell the person you’re sorry and explain that you have a million things to do and then ask if the two of you can talk at a different time.When people try to interrupt you, have set hours planned and let them know to come back during that time or that you’ll find them then. 38 . It can help to eliminate (消除) future interruptions.When you need to talk to someone, don’t do it in your own office. 39 , it’s much easeier to excuse yourself to get back to your work than if you try to get someone out of your space even after explaining how busy you areIf you have a door to your office, make good use of it. 40 . If someone knocks and it’s not an important matter, excuse yourself and let the person know you’re busy so they can get the hint (暗示) than when the door is closed, you’re not to be disturbed.A. If you’re busy, don’t feel bad about saying noB. When you want to avoid interruptions at workC. Set boundaries for yourselfas your time goesD. If you’re in the other person’s office or in a public areaE. It’s important that you let them know when you’ll be availableF. It might seem unkind to cut people short when they interrupt youG. Leave it open when you’re available to talk and close it when you’re not答案:BAEDGIf you are already making the time to exercise, it is good indeed! With such busy lives, it can be hard to try and find the time to work out. 36 Working out in the morning provides additional benefits beyond being physically fit.● Your productivity is improved. Exercising makes you more awake and ready to handle whatever is ahead of you for the day. 37● Your metabolism (新陈代谢) gets a head start. 38 If you work out in the mornings, then you will be getting the calorie (卡路里) burning benefits for the whole day, not in your sleep.● 39 Studies found that people who woke up early for exercise slept better than those who exercised in the evening. Exercise energizes you, so it is more difficult to relax and have a peaceful sleep when you are very excited.● 40 If you work out bright and early in the morning, you will be more likely to stick to healthy food choices throughout the day. Who would want to ruin their good workout by eating junk food? You will want to continue to focus on positive choices.There are a lot of benefits to working out, especially in the mornings. Set your alarm clock an hour early and push yourself to work out! You will feel energized all day long.A. You will stick to your diet.B. Your quality of sleep improves.C. You prefer healthy food to fast food.D. There is no reason you should exercise in the morning.E. You can keep your head clear for 4-10 hours after exercise.F. After you exercise, you continue to burn calories throughout the day.G. If you are planning to do exercise regularly, or you’re doing it now, then listen up!答案:36. G 37. E 38. F 39. B 40. AImagine a child standing on a diving board four feet high and asking himself the question: "Should I jump? " This is what motivation or the lack of it can do. Motivation and goal setting are the two sides of the same coin. 36 Like the child on the diving board, you will stay undecided.37 More than that, how should you stay motivated to achieve the goal? First, you need to evaluate yourself, your values your strengths, your weaknesses, your achievements, your desires, etc. Only then should you set your goals.You also need to judge the quality and depth of your motivation. This is quite important, because it is directly related to your commitment. There are times when your heart is not in your work. 38 So, slow down and think what you really want to do at that moment. Clarity(清晰)of thoughts can help you move forward.Another way of setting realistic goals is to analyze your short and long term objectives, keeping in mind your beliefs, values and strengths. Remember that goals are flexible.39 They also need to be measurable. You must keep these points in mind while setting your goals.Your personal circumstances are equally important. For example, you may want to be a Pilot but can’t become one because your eyesight is not good enough.40 You should reassess your goals, and motivate yourself to set a fresh goal.You will surely need to overcome some difficulties, some planned, but most unplanned. You cannot overcome them without ample motivation. Make sure that you plan for these difficulties at the time of setting your goals.A. This can affect your work.B. So how should you motivate yourself?C. However, this should not discourage you.D. So why should we try to set specific goals?E. They can change according to circumstances.F. Motivation is what you need most to do a good job.G. Without motivation, you can neither set a goal nor reach it.答案:GBAECEmoji(表情符号)and Workplace CommunicationIn Asia, messaging platforms are growing rapidly, with users in the hundreds of millions, both at work and play.36. It’s been reported that 76 percent of employees in some western countries are using emojis at work.Written communications can often read as cold and dull. Using emojis can add humor and feeling, keeping intention clear. 37, encouraging better and more frequent communication.In any given office, employees can range from age 22 to 70 and beyond, and finding common ground in communication style can be a challenge. 38. While the younger generations prefer to communicate visually, for those used to working with traditional tools like email, it may feel like a learning curve(曲线). The good news is that it’s simple to learn and can be worth the effort.There is also the matter of tone(语气). Who hasn’t received an email so annoying that it ruined an entire day? 39. Emoji can help communication feel friendlier, and even a serious note can be softened with an encouraging smile.40, and emoji can contribute directly to that positive outcome. And when your employees begin adding smiling emojis to their business communication, you’ll know you have succeeded in improving your work culture.A. Message with emojis feel more conversationalB. Even a formal email can seem cold and unfriendlyC. Sending smiling faces to colleagues may seem strangeD. The popularity of these platforms is spreading globallyE. Giving employees the tools enables them to communicate honestlyF. Studies show that friendlier communication leads to a happier workplaceG. An easy way to bring all work generations together is with a chat platform答案:DAGBFEveryone knows that fish is good for health. 36 But it seems that many people don’t cook fish at home. Americans eat only about fifteen pounds of fish per person per year, but we eat twice as much fish in restaurants as at home. Buying, storing, and cooking fish isn’t difficult. 37 This text is about how to buy and cook fish in an easy way.38 Fresh fish should smell sweet: you should feel that you’re standing at the ocean’s edge. Any fishy or strong smell means the fish isn’t fresh. 39 When you have bought a fish and arrive home, you’d better store the fish in the refrigerator if you don’t cook it immediately, but fresh fish should be stored in your fridge for only a day or two. Frozen fish isn’t as tasty as the fresh one.There are many common methods used to cook fish.40First, clean it and season it with your choice of spices (调料). Put the whole fish on a plate and steam it in a steam pot for 8 to 10 minutes if it weighs about one pound. (A larger one will take more time.) Then, it’s ready to serve.A. Do not buy it.B. The easiest is to steam it.C. This is how you can do it.D. It just requires a little knowledge.E. The fish will go bad within hours.F. When buying fish, you should first smell it.G. The fats in fish are thought to help prevent heart disease.答案:36. G 37. D 38. F 39.A 40.BLots of people find it hard to get up in the morning and put the blame on the alarm clock. In fact, the key to easy morning wake-up lies in resting your body clock36 Here is how to make one.● 37 In order to make a change, you need to decide why it’s important. Do you want to get up in time to have breakfast with your family, get in some exercise, or just be better prepared for your day? Once you are clear about your reason, tell your family or roommates about the change you want to make.●Rethink mornings. Now that you know why you want to wake up, consider re-arranging your morning activities. If you want time to have breakfast with your family, save some time the night before by setting out clothes, shoes, and bags. 38 That’s a quarter-hour more you could be sleeping if you bought a coffee maker with a timer.●Keep your sleep/wake schedule on weekends. If you’re tired out by Friday night, sleeping in on Saturday could sound wonderful. But compensating on the weekends actually feeds into your sleepiness the following week, a recent study found.39●Keep a record and evaluate it weekly. Keep track of your efforts and write down how you feel. After you’ve tried a new method for a week, take a look at your record. 40 If not, take another look at other methods you could try.A. Get a sleep specialist.B. Find the right motivation.C. A better plan for sleep can help.D. And consider setting a second alarm.E. If the steps you take are working, keep it up.F. Stick to your set bedtime and wake-up time, no matter the day.G. Reconsider the 15 minutes you spend in line at the café to get coffee.答案:36. C37. B38. G39. F40. EBefore there was the written word, there was the language of dance. Dance expresses love and hate, joy and sorrow, life and death, and everything else in between.36 We dance from Florida to Alaska, from north to south and sea to sea. We dance at weddings, birthdays, office parties and just to fill the time.“I adore dancing,” says Lester Bridges, the owner of a dance studio in Iowa. “I can’t imagine doing anything else with my life.” Bridges runs dance classes for all ages. “Teaching dance is wonderful. 37 It’s great to watch them. For many of them, it’s a way of meeting people and having a social life.”38 “I can tell you about one young couple,” says Bridges. “They’re learning to do traditional dances. They arrive at the class in low spirits and they leave with a smile. 39 ”So, do we dance in order to make ourselves feel better, calmer, healthier? Andrea Hillier says, “Dance, like the pattern of a beating heart, is life. Even after all these years, I want to get better and better. 40 I find it hard to stop! Dancing reminds me I’m alive.”A. So why do we dance?B. Dance in the U.S. is everywhere.C. If you like dancing outdoors, come to America.D. My older students say it makes them feel young.E. I keep practicing even When I’m extremely tired.F. Dancing seems to change their feeling completely.G. They stayed up all night long singing and dancing.答案:BDAFEIn an online class, developing healthy patterns of communication with professors is very important. 36 While I have only listed two of each, these are obviously many other situations that can arise. Students should be able to extend the logic(逻辑)of each to their particular circumstance.Do's• 37 Questions about subject content are generally welcomed. Before asking questions about the course design, read the syllabus(教学大纲)and learning management system information to be sure the answer isn't hiding in plain sight.• Participate in discussion forums(论坛), blogs and other open-ended forums for dialogue. 38 Be sure to stay on topic and not offer irrelevant information. Make a point, and make it safe for others to do the same.Don'ts• Don't share personal information or stories. Professors are not trained nurses, financial aid experts or your best friends. If you are in need of a deadline extension, simply explain the situation to the professor. 39• Don't openly express annoyance at a professor or class. 40 When a student attacks a professor on the social media, the language used actually says more about the student. If there is truly a concern about a professor's professionalism or ability, be sure to use online course evaluations to calmly offer your comments.A. That's what they are for.B. Turn to an online instructor for help.C. If more information is needed, they will ask.D. Remember that online professors get a lot of emails.E. Below are some common do’s and don’ ts for online learners.F. Everyone has taken a not-so-great class at one time or another.G. Ask questions, but make sure they are good, thoughtful questions.答案:36. E37. G38. A39. C40. FA housewarming party is a special party to be held when someone buys or moves into a new apartment or house. The person who bought the house or moved is the one who throws the party, The party is a chance for friends and family to congratulate the person on the new home. 36__ And it is a good time to fill the new space with love and hopefully presents.__37 Some people register a list of things they want or need for their new home at a local store or stores. Some common things people will put on a gift registry include kitchen tools like knives and things like curtains. Even if there isn't a registry, a good housewarming gift is something to decorate the new house with, like a piece of art or a plant.___38 This is often appreciated since at a housewarming there isn't a lot of food served. There are usually no planned activities like games at a housewarming party. The host or hostess of the party will, however, probably give all the guests a tour of their new home. Sometimes, because a housewarming party happens shortly after a person moves into their new home, people may be asked to help unpack boxes. 39Housewarming parties get their name from the fact that a long time ago people would actually bring firewood to a new home as a gift. 40 Now most homes have central heating and don't use fires to keep warm.A. This isn't usual though.B. It is traditional to bring a gift to a housewarming party.C. You can also bring food or drinks to share with the other guests.D. If you're lucky enough to receive gifts, keep them in a safe place.E. It also gives people a chance to see what the new home looks like.F. The best housewarming parties encourage old friends to get together.G This was so that the person could keep their home warm for the winter,答案:EBCAG。
2015年普通高等学校招生全国统一考试 英语(新课标信息卷七)(含答案)
绝密★启用前2015年普通高等学校招生全国统一考试(新课标信息卷七)英语试卷(样题)第一部分:语法填空(共10小题;每小题1.5分,满分15分)阅读下列材料,在空白处填入适当的内容(不多于3个单词)或括号内单词的正确形式。
第二部分:完形填空(共20小题;每小题1.5分,满分30分)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。
Jim and his brother lived on the 80th level. When coming home one day, to their 36, the lifts were not working and they had to 37 the stairs.After reaching the 20th level, breathless and tired, they decided to 38 their bags and come back for them the next day. They climbed 39. When they got to the 40th level, Jim’s brother started to 40. However, they 41 to climb the flights of steps, arguing all the way to the 60th floor.They then 42 that they only had 20 levels more to climb and decided to stop arguing andcontinue climbing 43. They reached their home at long last. Each stood calmly before the door and waited for the other to 44 the door. And they realized that the 45 were in their bags which were left on the 20th floor.This story is a reflection (反映) of our life. When 46, many of us are asked to do as our parents and teachers expect. We 47 get to do the things that we really like and love and are under too much pressure (压力) 48 by the age of 20, we get tired and decide to 49 this load (负担).Once 50 the pressure, we work harder to realize our dreams. But by the time we reach 40 years old, we find it 51 to realize them and begin to feel unsatisfied and complain, and 52 them. Reaching 60, we realize that we have 53 cause for complaint anymore, and we begin to walk the final stage with 54.So follow your dreams and 55 for them carefully, never complain and lose your key, and your dreams will come true one day.36. A. shame B. surprise C. happiness D. disappointment37. A. clean B. replace C. fix D. climb38. A. pack B. leave C. carry D. find39. A. over B. down C. on D. out40. A. rest B. complain C. work D. explain41. A. continued B. refused C. forgot D. demanded42. A. realized B. advised C. hoped D. agreed43. A. in order B. in peace C. in turn D. in time44. A. lock B. answer C. close D. open45. A. tickets B. books C. keys D. phones46. A. lonely B. sick C. successful D. young47. A. always B. rarely C. again D. finally48. A. only if B. so that C. even if D. as if49. A. take up B. set up C. give up D. put up50. A. free of B. tired of C. worried about D. concerned about51. A. hard B. interesting C. strange D. easy52. A. accept B. avoid C. share D. lose53. A. much B. all C. little D. some54. A. regret B. pleasure C. fear D. danger55. A. look B. ask C. wait D. prepare第三部分: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。
07-15年新课标全国卷高考统计数学
必考的知识点
复数、程序框图、三视图函数与导数
常考的知识点常用逻辑用语(注意:从没考过充要条件,多考命题真假)、球的组合体(09年
注意:解答题第17题只考纯数列或纯解三角形试题,不会和其他知识组合考。
大题考数列,小题不会考数列,大题
圆锥曲线三角函数(排列组合、统计与概率这个整体)等考命题真假)、球的组合体(09年考的是正方体的组合体)、集合、线性规划、数列
大题考数列,小题不会考数列,大题不考数列,小题会考2个数列题,三角函数多考小题等
统计与概率这个整体)等
平面向量、二项式解三角形、定积分、直线与圆等。
阅读7选5专项练习及答案
专项练习——高考阅读 7 选 5【小试牛刀】根据短文内容,从短文后的七个选项中选出能填入空白处的最佳选项。
MuzakThe next time you go into a bank, a store, or a supermarket, stop and listen. What do you hear? 71 It’s similar to the music you listen to, but it’s not exactly the same. That’s because thi s music was especially designed to relax you, or to give you extra energy. Sometimes you don’tevenrealize the music is playing, but you react to the music anyway.Quiet background music used to be called "elevator ( 电梯) music" because we often heard it in elevators. But lately we hear it in more and more places, and it has a new name "Muzak". About one-third of the people in America listen to "Muzak" everyday. The music plays for 15 minutes at a time, with short pauses in between. It is always more lively between ten and eleven in the morning, and between three and four in the afternoon, when people are more tired. 72If you listen to Muzak carefully, you will probably recognize the names of many of the songs. Some musicians or songwriters don’t want their songs to be used as Muzak, but others are happy when their songs are chosen. Why? 73Music is often played in public places because it is designed to make people feel less lonely when they are in an airport or a hotel. It has been proven that Muzak does what it is designed to do. Tired office workers suddenly have more energy when they hear the pleasant sound of Muzak in the background. 74 Supermarket shoppers buy 38 percent more groceries.75 . They say it’s boring to hear the same songs all the time. But other people enjoy hearing Muzak in public places. They say it helps them relax and feel calm. One way or another, Muzak affects everyone. Some farmers even say their cows give more milk when they hear Muzak!A. Some people don’t like Muza k.B. The music gives them extra energy.C. Music is playing in the background.D. Factory workers produce 13 percent more.E. Muzak tends to help people understand music better.F. They get as much as $4 million a year if their songs are used.G. Muzak is played in most of the big supermarkets in the world.CBFDA【练习 1】Friends play an important part in our lives, and although we may take the fact of friendship for granted, we often don’t clearly understand how we make friends. While we get on well with a number of people, 71 .Moreover, a great many relationships come under the general term “friendship”. In allcases,two people like one another and enjoy being together, but beyond that, the degree of closeness between them and the reasons for their interest in each other change greatly.At the beginning, much depends on how people meet, and on good first impressions. As we get to know people, 72 . Although these factors are not of the greatest importance, it is more difficult to have a good relationship with people when there is a big difference in age and background.Then, 73 . Friends will stand closer together and will spend more time looking at each other than ordinary friends.Smiles and soft voices also express friendliness,and it is because they may give the wrong signals that shy people often have difficulty making friends. A friendly look with a wrong facial expression can turn into an unfriendly stare,and nervousness may be wrongly understood as unfriendliness.Some relationships are a result of argument and discussion,but it is usual for close friends to have the same ideas and beliefs,the same opinion and interests. The more closely involved people become.the more they depend on each other. And 74 . Equally, friends have to learn to make allowances for each other, to put up with annoying habits, and to accept differences in opinion.In contrast with marriage, 75 . But the support and understanding that results fro m shared experiences and affections does seem to create a close and lasting relationshipA. we are usually friends with only a fewB. many factors can affect friendship and relationshipC. people want to do friends favors and hate to let them downD. argument and discussion can improve personal relationshipsE.we consider things like age,race,looks,economic and social status,etcF.we pay attention to actual behavior, facial expression, and the way a person speaksG. there a re no friendship ceremonies to strengthen the relationship between two people【练习 2】Speaking in public is most people’s least favorite thing. The reason is that we are all alraid of making foods of ourselves. 66 .But stop biting your finger-mails. Public spea king is easy . It’s just plain talking, and you talk all the time. Although I’m basically shy (honest!). I’ve been making speeches and talking on radi o and television for more than 30 years. And I can tell you that public speaking is not a“gift”like musical talent. 67_ .Here are some of the lessons I have learned :Your aud ience is going to come away with one or two of your main ideas. One or two. Not ten or twenty. 68 . And if you don't have a clear idea of what you want to say, there's no way vour audience will. 69 ___—how you are going to open, what major points you want to make and how you're going to close.When I do a radio or TV piece, I often write the last sentence first. 70 . A strong close is critical; the last thing you say is what your audience will most likely remember.The standard length of a vaudeville act is usually 12 minutes. If all those performers singing and dancing their hearts out couldn't go on longer without boring the audience, what makes you think you can?A. Some people are bom to be good at making speechB. Anybody who can talk can speak in publicC. Try to relax yourself before making the speechD. The more important the speech is, the more frightened we becomeE. It you can't express in a sentence or two what you intend to get across, then your speech isnot focused well enoughF. When you know where you're headed, you can choose any route to get thereG. No matter how long or short your speech is, you've got to get your ducks in a rowPart two 真题在线Passage 1:(2014 年全国 1 卷)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。
2015年普通高等学校招生全国统一考试(新课标信息卷七)英语试题 (Word版缺答案)
绝密★启用前2015年普通高等学校招生全国统一考试(新课标信息卷七)英语试卷(样题)第一部分:语法填空(共10小题;每小题1.5分,满分15分)阅读下列材料,在空白处填入适当的内容(不多于3个单词)或括号内单词的正确形式。
第二部分:完形填空(共20小题;每小题1.5分,满分30分)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。
Jim and his brother lived on the 80th level. When coming home one day, to their 36, the lifts were not working and they had to 37 the stairs.After reaching the 20th level, breathless and tired, they decided to 38 their bags and come back for them the next day. They climbed 39. When they got to the 40th level, Jim’s brother started to 40. However, they 41 to climb the flights of steps, arguing allthe way to the 60th floor.They then 42 that they only had 20 levels more to climb and decided to stop arguing and continue climbing 43. They reached their home at long last. Each stood calmly before the door and waited for the other to 44 the door. And they realized that the 45 were in their bags which were left on the 20th floor.This story is a reflection (反映) of our life. When 46, many of us are asked to do as our parents and teachers expect. We 47 get to do the things that we really like and love and are under too much pressure (压力) 48 by the age of 20, we get tired and decide to 49 this load (负担).Once 50 the pressure, we work harder to realize our dreams. But by the time we reach 40 years old, we find it 51 to realize them and begin to feel unsatisfied and complain, and 52 them. Reaching 60, we realize that we have 53 cause for complaint anymore, and we begin to walk the final stage with 54.So follow your dreams and 55 for them carefully, never complain and lose your key, and your dreams will come true one day.36. A. shame B. surprise C. happiness D. disappointment37. A. clean B. replace C. fix D. climb38. A. pack B. leave C. carry D. find39. A. over B. down C. on D. out40. A. rest B. complain C. work D. explain41. A. continued B. refused C. forgot D. demanded42. A. realized B. advised C. hoped D. agreed43. A. in order B. in peace C. in turn D. in time44. A. lock B. answer C. close D. open45. A. tickets B. books C. keys D. phones46. A. lonely B. sick C. successful D. young47. A. always B. rarely C. again D. finally48. A. only if B. so that C. even if D. as if49. A. take up B. set up C. give up D. put up50. A. free of B. tired of C. worried about D. concerned about51. A. hard B. interesting C. strange D. easy52. A. accept B. avoid C. share D. lose53. A. much B. all C. little D. some54. A. regret B. pleasure C. fear D. danger55. A. look B. ask C. wait D. prepare第三部分: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。
近5年高考全国卷选择题汇总(带答案)
近5年高考汇总一、受力分析1、(2014-17)如图,用橡皮筋将一小球悬挂在小车的架子上,系统处于平衡状态。
现使小车从静止开始向左加速,加速度从零开始逐渐增大到某一值,然后保持此值,小球稳定地偏离竖直方向某一角度(橡皮筋在弹性限度内)。
与稳定在竖直时位置相比,小球的高度( A )A.一定升高B.一定降低C.保持不变D.升高或降低由橡皮筋的劲度系数决定2.(2016-19)如图,一光滑的轻滑轮用细绳OO'悬挂于O点;另一细绳跨过滑轮,其一端悬挂物块a,另一端系一位于水平粗糙桌面上的物块b。
外力F向右上方拉b,整个系统处于静止状态。
若F方向不变,大小在一定范围内变化,物块b仍始终保持静止,则( BD )A.绳OO'的张力也在一定范围内变化B.物块b所受到的支持力也在一定范围内变化C.连接a和b的绳的张力也在一定范围内变化D.物块b与桌面间的摩擦力也在一定范围内变化3.(2017-21)如图,柔软轻绳ON的一端O固定,其中间某点M拴一重物,用手拉住绳的另一端N,初始时,OM竖直且MN被拉直,OM与MN之间的夹角为α(π2α>)。
现将重物向右上方缓慢拉起,并保持夹角α不变。
在OM由竖直被拉到水平的过程中( AD )A.MN上的张力逐渐增大B.MN上的张力先增大后减小C.OM上的张力逐渐增大D.OM上的张力先增大后减小二、动能、机械能、能量守恒、动量1.(2015-17)一半径为R ,粗糙程度处处相同的半圆形轨道竖直固定放置,直径POQ 水平。
一质量为m 的质点自P 点上方高度R 处由静止开始下落,恰好从P 点进入轨道。
质点滑到最低点N 时,对轨道压力为4mg ,g 为重力加速度的大小。
用W 表示质点从P 点运动到N 点的过程中克服摩擦力所做的功。
则( C )A .W=1/2mgR ,质点恰好可以到达Q 点B .W>1/2mgR ,质点不能到达Q 点C .W=1/2mgR ,质点到达Q 点后,继续上升一段距离D .W>1/2mgR ,质点到达Q 点后,继续上升一段距离2.(2017-14)将质量为1.00kg 的模型火箭点火升空,50g 燃烧的燃气以大小为600 m/s 的速度从火箭喷口在很短时间内喷出。
全国卷7选阅读试题
全国卷7选5的阅读总分:135分,考试时间:120分钟;第I卷(选择题)请点击修改第I卷的文字说明一、阅读理解7选5阅读二、7选5阅读根据短文内容,从短文后的七个选项中选出能填入空白处的最佳选项。
选项中有两项为多余选项。
Personalized ExerciseAs the start of every year, many of us promise ourselves that a certain number of times a week we will go to the gym or attend an exercise class. But finally many of us just struggle to fit exercise into our lives, or start off well and then give up. Why do we have a good plan at the beginning and fail to achieve it in the end? How can we deal with the problem? 1.It is important to determine your motivation first. Are you mainly interested in de-stressing or in getting fitter? If your goal is relaxation, then ask yourself if you want to do it energetically. 2.If you have a calmer style, you can do something quite different. You could choose solitary exercise, such as walking the dog or doing some gardening. 3.There are quite a lot of them, such as walking and running groups, dance classes, etc. On your own, you could go horse riding or swimming, or just download fitness exercise programs and do it at home.4.If you have free time at the weekend, you could book some time with a personal trainer, who can come to your house, or you could meet him at the gym. If your life is not as regular, you could choose the next couple of minutes you have to try an exercise DVD, or put your running shoes on and run for any length of time.As you see, everything counts when you are doing exercise. Whatever your lifestyle is, you will be able to have something that suits you. 5.Just sit down with a cup of tea, read this article again, and have a think about your options. Then finish the tea, get up, get going, and don’t stop.A. Good exercise is necessary for physical health.B. The key could be to find the right type of exercise.C. If it is fitness you are after, group activities will be suitable.D. You’d better create a personalized plan to get you into shape.E. In this case, a type of exercise based on boxing may be right for you.F. In other words, you can always find personalized exercise by yourself.G. For people who are extremely busy, it is easier to fit exercise into daily lives.【答案】1.B2.E3.C4.G5.F【解析】1.B根据上文提到But finally many of us just struggle to fit exercise into our lives, or start off well and then give up. Why do we have a good plan at the beginning and fail to achieve it in the end? How can we deal with the problem?最后要么是很好的开始,最终放弃,为什么我们在开始有个好的计划最终不能实现,我们如何处理这些问题,故选B 关键是找到合适的练习的类型。
高考卷2017,2015
2017年普通高等学校招生全国统一考试理科综合能力测试一、选择题:每小题6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.细胞间信息交流的方式有多种。
在哺乳动物卵巢细胞分泌的雌激素作用于乳腺细胞的过程中,以及精子进入卵细胞的过程中,细胞间信息交流的实现分别依赖于A.血液运输,突触传递B.淋巴运输,突触传递C.淋巴运输,胞间连丝传递 D.血液运输,细胞间直接接触2.下列关于细胞结构与成分的叙述,错误的是A.细胞膜的完整性可用台盼蓝染色法进行检测B.检测氨基酸的含量可用双缩脲试剂进行显色C.若要观察处于细胞分裂中期的染色体可用醋酸洋红液染色D.斐林试剂是含有Cu2+的碱性溶液,可被葡萄糖还原成砖红色3.通常,叶片中叶绿素含量下降可作为其衰老的检测指标。
为研究激素对叶片衰老的影响,将某植物离体叶片分组,并分别置于蒸馏水、细胞分裂素(CTK)、脱落酸(ABA)、CTK+ABA溶液中,再将各组置于光下。
一段时间内叶片中叶绿素含量变化趋势如图所示,据图判断,下列叙述错误的是A.细胞分裂素能延缓该植物离体叶片的衰老B.本实验中CTK对该植物离体叶片的作用可被ABA削弱C.可推测ABA组叶绿体中NADPH合成速率大于CTK组D.可推测施用ABA能加速秋天银杏树的叶由绿变黄的过程4.某同学将一定量的某种动物的提取液(A)注射到实验小鼠体内,注射后若干天,未见小鼠出现明显的异常表现。
将小鼠分成两组,一组注射少量的A,小鼠很快发生了呼吸困难等症状;另一组注射生理盐水,未见小鼠有异常表现。
对实验小鼠在第二次注射A后的表现,下列解释合理的是A.提取液中含有胰岛素,导致小鼠血糖浓度降低B.提取液中含有乙酰胆碱,使小鼠骨骼肌活动减弱C.提取液中含有过敏原,引起小鼠发生了过敏反应D.提取液中含有呼吸抑制剂,可快速作用于小鼠呼吸系统5.假设某草原上散养的某种家畜种群呈S型增长,该种群的增长率随种群数量的变化趋势如图所示。
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精心整理2017-2015阅读理解7选5真题2017全国卷Ⅰ,10分话题:野营词数:288IfanyonehadtoldmethreeyearsagothatIwouldbespendingmostofmyweekendscamping,Iwouldhavelaughedh eartily.Campers,inmyeyes,werepeoplewhoenjoyedinsectbites,ill-cookedmeals,anduncomfortablesleepingb ags.Theyhadnothingincommonwithme.1Thefriendswhointroducedmetocampingthoughtthatitmeanttobeapioneer.2Wesleptinatent,cookedoveranope nfire,andwalkedalongdistancetotaketheshowerandusethebathroom.ThisbriefvisitwithMotherNaturecostme twodaysofffromwork,recoveringfromabadcaseofsunburnandthedoctor ’sbillformyson ’sfoodpoisoning.3Instead,wehadapop-upcamperwithcomfortablebedsandanairconditioner.Mynature-lovingfriendshadreme4Wehavedonealotofitsince.Recently,weboughtatwenty-eight-foottraveltrailercompletewithabathroomanda built-inTVset.Thereisaseparatebedroom,amodernkitchenwitharefrigerator.Thetrailerevenhasmatchingcarp5Itmustbetruethatsoonerorlater,everyonefindshisorherwaybacktonature.Irecommendthatyoufindyourwayin style.A.Thistimetherewasnotent.B.Thingsaregoingtobeimproved.C.Thetriptheytookmeonwasaroughone.D.Iwastolearnalotaboutcampingsincethen,however.E.ImustsaythatIhavecertainlycometoenjoycamping.F.Afterthetrip,myfamilybecamequiteinterestedincamping.G .Therewasnoshadeasthetreeswerenomorethan3feettall.2017分话题:避免工作被打断的方法词数:Interruptionsareoneoftheworstthingstodealwithwhileyou ’,thereareseveralwaystohandlethings.Let stakealookatthemnow.2.Tellthepersonyou ’resorryandexplainthatyouhaveamillionthingstodoandthenaskifthetwoofyoucantalkatadifferenttime.Whenpeopletrytointerruptyou,havesethoursplannedandletthemknowtocomebackduringthattimeorthatyou ’tdoitinyourownoffice.’smucheasiertoexcuseyourselftogetbacktoyourworkthanifyoutrytogetsomeoneoutofyourspaceevenafterexpl aininghowbusyyouare.Ifyouhaveadoortoyouroffice,makegooduseofit.5.Ifsomeoneknocksandit ’snotanimportantmatter,excuseyourselfandletthepersonknowyou ’rebusysotheycangetthehint(暗示)thatwhenthedoorisclosed,you ’renottobedisturbed.A.Ifyou ’rebusy,don ’tfeelbadaboutsayingnoB.WhenyouwanttoavoidinterruptionsatworkC.SetboundariesforyourselfasfarasyourtimegoesD.Ifyou ’reintheotherperson ’sofficeorinapublicareaE.It ’simportantthatyouletthemknowwhenyou ’llbeavailableF.ItmightseemunkindtocutpeopleshortwhentheyinterruptyouG.Leaveitopenwhenyou’reavailabletotalkandcloseitwhenyou’renot2017全国卷Ⅲ,10分话题:早起词数:293 Lotsofpeoplefindithardtogetupinthemorning,andputtheblameonthealarmclock.Infact,thekeytoeasymorning wake-upliesinresettingyourbodyclock.1Here’showtomakeone.2Inordertomakeachange,youneedtodecidewhyit’simportant.Doyouwanttogetupintimetohavebreakfastwithyourfamily,getinsomeexercise,orjustbebetterprep aredforyourday?Onceyouareclearaboutyourreasons,tellyourfamilyorroommatesaboutthechangeyouwantto make.Rethinkmornings.Nowthatyouknowwhyyouwanttowakeup,considerre-arrangingyourmorningactivities.Ify ouwanttimetohavebreakfastwithyourfamily,savesometimethenightbeforebysettingoutclothes,shoes,andbag s.3That’saquarter-hourmoreyoucouldbesleepingifyouboughtacoffeemakerwithatimer.’Keeparecordandevaluateitweekly.Keeptrackofyoureffortsandwritedownhowyoufeel.Afteryou’Ifnot,takeanotherlookatothermethodsyoucouldtry.A.B.Findtherightmotivation.C.Abetterplanforsleepcanhelp.D.Andconsidersettingasecondalarm.E.Ifthestepsyoutakeareworking,keepitup.F.Sticktoyoursetbedtimeandwake-uptime,nomattertheday.G.Reconsiderthe15minutesyouspendinlineatthecafetogetcoffee.2016298密)keepmessagesprivate.Banks,companies,andgovernmentagenciesusesecretcodesindoingbusiness,especially后)3Youmightrepresenteachletterwithanumber,forexample.Let'snumberthelettersofthealphabet,inorder,fr odebook.4Forexample,"bridge"mightstandfor"meet"and"out"mightstandfor"me."Themessage"Bridgeout" wouldactuallymean"Meetme."5However,itisalsohardtokeepacodebooksecretforlong.Socodesmustbechang edfrequently.A.Itisveryhardtobreakacodewithoutthecodebook.B.Inanylanguage,somelettersareusedmorethanothers.C.Onlypeoplewhoknowthekeywordcanreadthemessage.D.Aslongastherehavebeencodes,peoplehavetriedtobreakthem.E.Youcanhideamessagebyhavingthefirstlettersofeachwordspellitout.F.Withacodebook,youmightwritedownwordsthatwouldstandforotherwords.G.Anotherwaytohideamessageistousesymbolstostandforspecificlettersofthealphabet.2016全国卷Ⅱ,10分词数:320Agardenthat'sjustrightforyouHaveyouevervisitedagardenthatseemedjustrightforyou,wheretheatmosphereofthegardenappearedtototalmorethanthesum(总和)ofitsparts?1.Butitdoesn'thappenbyaccident.Itstartswithlookinginsideyourselfandunderstandingwhoyoua rewithrespecttothenaturalworldandhowyouapproachthegardeningprocess.●2Somepeoplemaythinkthatagardenisnomorethanplants,flowers,patternsandmassesofcolor.Othersarecon cernedaboutusinggardeningmethodsthatrequirelesswaterandfewerfertilizers(肥料).3.However,thereareanumberofotherreasonsthatmightexplainwhyyouwanttogarden.Oneofthemcomesfr omourearliestyears.●Recall(回忆)yourchildhoodmemories Ourmodelofwhatagardenshouldbeoftengoesbacktochildhood.Grandma'srosegardenandDad'svegetablegard enmightbegoodorbad,butthat'snotwhat'simportant.4—howbeinginthosegardensmadeusfeel.Ifyou'dliketobu G20163Freshfishshouldsmellsweet:youshouldfeelthatyou'restandingattheocean'sedge.Anyfishyorstrongsmel调料D.Itjustrequiresalittleknowledge.E.Thefishwillgobadwithinhours.F.Whenbuyingfish,youshouldfirstsmellit.G.Thefatsinfisharethoughttohelppreventheartdisease.2015新课标全国Ⅰ,10分词数:330BuildingTrustinaRelationshipAgainTrustisalearnedbehaviorthatwegainfrompastexperiences.1Trustisarisk.Butyoucan'tbesuccessfulwhenth ere'salackoftrustinarelationshipthatresultsfromanactionwherethewrongdoertakesnoresponsibilitytofixthem istake.Unfortunately,we'veallbeenvictimsofbetrayal.Whetherwe'vebeenstolenfrom,liedto,misled,orcheated on,therearedifferentlevelsoflosingtrust.Sometimespeoplesimplycan'ttrustanymore.2It'sunderstandable,buti fyou'rewillingtobuildtrustinarelationshipagain,wehavesomestepsyoucantaketogetyouthere.●3Havingconfidenceinyourselfwillhelpyoumakebetterchoicesbecauseyoucanseewhatthebestoutcomewouldbeforyourwell-being.●4Ifyou'vebeenbetrayed,youarethevictimofyourcircumstance.Butthere'sadifferencebetweenbeingav ictimandlivingwitha"victimmentality".Atsomepointinallofour●Youdidn'tlose"everything".Oncetrustislost,whatisleft?Insteadoflookingatthesituationfromthishopeles sangle,lookateverythingyoustillhaveandbethankfulforallofthegoodinyourlife.5Instead,it'sahealthywaytowo rkthroughtheexperiencetoallowroomforpositivegrowthandforgiveness.A.Learntoreallytrustyourself.B.Itisputtingconfidenceinsomeone.C.Stopregardingyourselfasthevictim.D.Rememberthatyoucanexpectthebestinreturn.E.They'vebeentoobadlyhurtandtheycan'tbeartoletithappenagain.G2015Trainingforamarathonrequirescarefulpreparationandsteady,gradualincreasesinthelengthoftheruns.1,bu伸展torest.Butduringthenextweek,setagoalofatleastamileandahalfperrun.4.Aftertwoweeks,starttimingyourself.5G2017【段意梳理】第一段:介绍作者过去对野营活动有抵触情绪。