二轮复习纠错训练1

2019-2020年高三英语二轮复习专题一语法填空和短文改错第一讲语法填空随堂训练(2017·郑州第三次质量预测)Being raised in a family of teachers, I 1.____________(get) plenty of chances to connect myself with literature since a young age. So I have manystories about me and reading.It was my father who to ok me on the road to reading and made me appreciate 2.____________(it) beauty. When I was a little girl, he bought me a book 3.____________(name) Romanceof the Three Kingdoms.I was too young to read this difficult work, so my fatherexplained it to me 4.____________(patient). From then on, I started to enjoy reading books.When I became a middle school student, I began to read some simplified English classics on my own. Sometimes, I would write down my thoughts and 5.____________(feel) and sharethem with my father. Among all the books that I read during my middle school years, Jane Eyre left the 6.____________(deep) impression on me. I was having some difficulties withmy studies at that time, 7.____________Jane Eyre’s persistence(坚持) and courage inspired me a lot. Thanks to my reading habit, I managed 8.____________(overcome) the difficultiesof my studies.Now, I’m a senior high school student and very busy with my studies. But I still keepon reading in my spare time. My mother told me that I should be absorbed 9.____________mystudies, but in my point of view, I regard reading as an oasis(绿洲) that can make me r elax.Recently, I thought about the benefits 10.____________reading could bring us. Reading can clear our minds and motivate us. In addition, we may broaden our horizons and gain more knowledge through reading. I hope that my story can inspire you to start your own readingadventure.[解题导语] 本文主要讲述了作者和阅读之间的故事，鼓励大家多读书。

江苏省苏州市2020年中考英语二轮复习专项训练（一）句子翻译（1）将下列句子译成英语,并将所译句子写在答题卡标有题号的横线上。

48.你多久参加一次社会活动?__________________解析：How often do you take part in a social activity?How often 对频率提问，参加take part in，社会的social49. 我们嘲笑处于困境中的人是不礼貌的。

__________________解析：It's impolite of us to laugh at those people in trouble. It‘s＋adj+of+sb+to do sth50. 应该采取措施防止人们浪费资源。

__________________解析：考被动结构Actions should be taken to prevent/stop/keep people from wasting resources.阻止某人做某事prevent sb from doing sth51. 那个教授想知道是否大学生做出这道数学题有困难。

__________________解析：考宾语从句用法The professor wonders if college students have difficulty working out the math problem.52. 我们英语老师如此善于讲有趣的笑话以至于他使课堂生机勃勃。

__________________解析：考so…that结构。

Our English teacher is so good at telling funny jokes that he makes his class lively.（2）将下列句子译成英语，并将所译句子写在答题卡标有题号的横线上。

38.我对了解不同的文化很感兴趣。

48.答案I am very interested in learning about different cultures. 考查固定搭配人做主语对做什么感兴趣sb be interested in doing sth , 了解不同的文化，learn about different cultures.39.我认为他今天不会来这里。

专题检测卷(一)A 组 一、选择题1.下列命题中是假命题的是( )(A)∃x ∈R ，x 3＜0(B)“a>0”是“|a|>0”的充分不必要条件(C)∀x ∈R ，2x＞0(D)“a ·b >0”是“a ，b 的夹角为锐角”的充要条件 2.(2022·湖北高考)命题“∃x 0∈，R Q x 03∈Q ”的否定是( ) (A)300x x ∃∉∈，RQ Q(B)300x ,x ∃∈∉R Q Q (C)3x ,x ∀∉∈R Q Q (D)3x ,x ∀∈∉R Q Q3.命题“若a>b,则2a>2b”的否命题是( )(A)若a>b,则2a≤2b(B)若2a >2b,则a>b(C)若a ≤b,则2a ≤2b(D)若2a≤2b,则a ≤b4.(2022·宜昌模拟)已知条件p:不等式x 2+mx+1＞0的解集为R ；条件q:指数函数f(x)=(m+3)x 为增函数，则p 是q 的( ) (A)充要条件 (B)必要不充分条件 (C)充分不必要条件(D)既不充分也不必要条件5.设A={1,2,3},B={x|x ⊆A}，则下列关系表述正确的是( ) (A)A ∈B (B)A ∉B (C)A ⊇B (D)A ⊆B6.(2022·黄石模拟)已知全集U=R ，集合A={x|-2≤x ＜0}，B={x|2x-1＜14},则R(A ∩B)=( )(A)(-∞,-2)∪［-1，+∞) (B)(-∞，-2］∪(-1，+∞)(C)(-∞，+∞)(D)(-2，+∞)7.给出命题：若直线l 与平面α内任意一条直线垂直，则直线l 与平面α垂直，在它的逆命题、否命题、逆否命题三个命题中，真命题的个数是( ) (A)3 (B)2 (C)1 (D)08.若“0＜x ＜1”是“(x-a)［x-(a+2)］≤0”的充分不必要条件，则实数a 的取值范围是( )(A)(-∞，0］∪［1，+∞)(B)(-1，0)(C)［-1，0］(D)(-∞，-1)∪(0，+∞)9.(2022·山东高考)设命题p:函数y=sin 2x 的最小正周期为;2π命题q:函数y=cos x 的图象关于直线x=2π对称,则下列推断正确的是( )(A)p 为真 (B)﹁q 为假(C)p ∧q 为假 (D)p ∨q 为真10.定义差集A-B={x|x ∈A,且x ∉B}，现有三个集合A ，B ，C 分别用圆表示，则集合C-(A-B)可表示下列图中阴影部分的为( )二、填空题11.命题p :x R,∀∈函数f(x)=22cos x 3sin 2x 3,+≤则p:⌝____________. 12.(2022·咸宁模拟)设集合A={-1,1,3}，B={a+2,a 2+4}，A ∩B=3，则实数a 的值是______.13.若命题“∃x ∈R,2x 2-3ax+9<0”为假命题，则实数a 的取值范围是______.14.给出下列四个结论：①“若am 2＜bm 2,则a ＜b ”的逆命题是真命题；②设x ，y ∈R,则“x ≥2或y ≥2”是“x 2+y 2≥4”的充分不必要条件；③函数y=log a (x+1)+1(a ＞0且a ≠1)的图象必过点(0，1)；④已知ξ听从正态分布N(0，σ2),且P(-2≤ξ≤0)=0.4,则P(ξ＞2)=0.2. 其中正确结论的序号是________(填上全部正确结论的序号). B 组一、选择题1.(2022·新课标全国卷)已知集合A={1，2，3，4，5}，B={(x,y)|x ∈A,y ∈A,x-y∈A},则B 中所含元素的个数为( )(A)3 (B)6 (C)8 (D)102.(2022·黄冈模拟)命题“∀x ∈［1，2］，x 2-a ≤0”为真命题的一个充分不必要条件是( )(A)a ≥4 (B)a ≤4 (C)a ≥5 (D)a ≤53.(2022·孝感模拟)已知全集U=R ，集合A={1,2,3,4,5}，B=［2，+∞)，则图中阴影部分所表示的集合为( )(A){0，1，2} (B){0，1} (C){1，2} (D){1}4.(2022·湖北高考)命题“存在一个无理数，它的平方是有理数”的否定是( )(A)任意一个有理数，它的平方是有理数(B)任意一个无理数，它的平方不是有理数(C)存在一个有理数，它的平方是有理数(D)存在一个无理数，它的平方不是有理数5.若全集U=R ，集合A={x||2x+3|＜5},B={x|y=log 3(x+2)}，则U (A ∩B)=( ) (A){x|x ≤-4或x ≥1}(B){x|x ＜-4或x ＞1}(C){x|x ＜-2或x ＞1}(D){x|x ≤-2或x ≥1}6.对于非空集合A ，B,定义运算：A B ⊕={x|x ∈A ∪B ，且x ∉A ∩B},已知M={x|a ＜x＜b},N={x|c ＜x ＜d}，其中a ，b ，c ，d 满足a+b=c+d,ab ＜cd ＜0,则M N ⊕=( )(A)(a ，d)∪(b ，c) (B)(c ，a ］∪［b ，d)(C)(a ，c ］∪［d ，b) (D)(c ，a)∪(d ，b)7.已知p:2x1,x 1<- q:(x-a)(x-3)>0,若p q ⌝⌝是的必要不充分条件，则实数a 的取值范围是( )(A)(-∞,1) (B)［1,3］ (C)［1,+∞) (D)［3,+∞)8.(2022·湖北高考)已知集合A={x|x 2-3x+2=0，x ∈R}，B={x|0＜x ＜5,x ∈N}，则满足条件A ⊆C ⊆B 的集合C 的个数为( ) (A)1 (B)2 (C)3 (D)49.已知集合A ＝{x|-a ＜x ＜a}，其中a ＞0.命题p:1∈A ，命题q:2∈A.若p ∨q 为真命题，p ∧q 为假命题，则a 的取值范围是( ) (A)0＜a ＜1或a ＞2 (B)0＜a ＜1或a ≥2(C)1＜a ≤2 (D)1≤a ≤210.下列命题：①函数f(x)=x 2－2x+3,x ∈［-2,0］的最小值为2；②线性回归方程对应的直线y bx a =+至少经过其样本数据点(x 1,y 1),(x 2,y 2),…,(x n ,y n )中的一个点；③命题p:∃x ∈R ，使得x 2+x+1<0，则p :⌝∀x ∈R ,均有x 2+x+1≥0；④若x 1，x 2，…，x 10的平均数为a ，方差为b ，则x 1+5，x 2+5，…，x 10+5的平均数为a+5,方差为b+25.其中，错误命题的个数为( )(A)0 (B)1 (C)2 (D)3 二、填空题11.集合M={x|x x 1-＞0},集合N={y|y=12x } ，则M ∩N=______.12.下列选项叙述错误的是______.①命题“若x ≠1,则x 2-3x+2≠0”的逆否命题是“若x 2-3x+2=0,则x=1” ②若命题p ：∀x ∈R,x 2+x+1≠0，则p ⌝∃：x ∈R ，x 2+x+1=0 ③若p ∨q 为真命题，则p,q 均为真命题 ④“x ＞2”是“x 2-3x+2＞0”的充分不必要条件13.某班有同学60人，其中体育爱好者有32人，电脑爱好者有40人，还有7人既不爱好体育也不爱好电脑，则班上既爱好体育又爱好电脑的同学有____人. 14.(2022·武汉模拟)由命题“存在x ∈R ，使e |x-1|-m ≤0”是假命题，得m 的取值范围是(-∞，a)，则实数a 的值是______.答案解析A 组1.【解析】选D.当a ，b 的夹角为0时，a ·b >0，故选D.2.【解析】选D.该特称命题的否定为“3x ,x ∀∈∉R Q Q”.3.【解析】选C.“a>b ”的否定是“a ≤b ”，“2a >2b ”的否定是“2a ≤2b ”，故否命题是“若a ≤b ，则2a ≤2b ”.4.【解析】选C.由于不等式x 2+mx+1＞0的解集为R ，故有m 2-4＜0,∴-2＜m ＜2.又由于指数函数f(x)=(m+3)x 为增函数，所以m+3＞1，m ＞-2，故p ⊆q,p ≠q ，故选答案C.5.【解析】选A.由题意知B={,∅{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}，故A∈B.6.【解析】选A.B={x|x＜-1},∴A∩B={x|-2≤x＜-1},∴R(A∩B)=(-∞,-2)∪［-1,+∞).7.【解析】选A.依据线面垂直的定义可知，原命题正确，所以逆否命题也正确；命题的逆命题为：若直线l与平面α垂直，则直线l与平面α内任意一条直线垂直，正确，所以否命题也正确，所以在它的逆命题、否命题、逆否命题三个命题中，真命题的个数是3,故选A.8.【解析】选C.(x-a)［x-(a+2)］≤0⇒a≤x≤a+2,由集合的包含关系知：a0a21≤⎧⎨+≥⎩，，⇒a∈［-1，0］.【方法技巧】依据充要性求参数取值范围的策略(1)简化条件与结论;(2)依据条件与结论的关系,得到集合间的包含关系;(3)依据集合间的包含关系列不等式(组)求解.9.【解析】选C.函数y=sin 2x的最小正周期为T=22π=π，所以命题p假，函数y=cos x的图象关于直线x=kπ(k∈Z)对称，所以命题q假，q⌝为真，p∨q为假.10.【解析】选A.如图所示，A-B表示图中阴影部分，故C-(A-B)所含元素属于C，但不属于图中阴影部分，故选A. 11.【解析】全称命题的否定是特称命题,故p:x R,⌝∃∈函数f(x)=22cos x3sin 2x 3.＞答案：∃x∈R,函数f(x)=22cos x3sin 2x+＞312.【解析】由题意知，a2+4＞3,故a+2=3,即a=1.阅历证，a=1符合题意.答案：113.【解析】由于“2x R,2x3ax90∃∈-+<”为假命题，则“2x R,2x3ax90∀∈-+≥”为真命题.因此Δ=9a2-4×2×9≤0,故22a2 2.-≤≤答案：22a22-≤≤14.【解析】①的逆命题为：“若a＜b,则am2＜bm2”，当m=0时，命题不成立.依据充分条件和必要条件的推断可知②正确.当x=0时,y=log a1+1=1,所以函数图象恒过定点(0，1),所以③正确；依据正态分布的对称性可知P(-2≤ξ≤0)=P(0≤ξ≤2),P(ξ＞2)=P(ξ＜-2),所以P(ξ＞2)=12P(20)10.822--≤ξ≤-==0.1,所以④错误，所以正确的结论有②③.答案：②③B组1.【解析】选D.利用集合的概念及其表示求解，留意元素的特性.∵B={(x,y)|x∈A,y∈A,x-y∈A},A={1,2,3,4,5},∴x=2,y=1;x=3,y=1,2;x=4,y=1,2,3;x=5,y=1,2,3,4. ∴B={(2,1),(3,1),(3,2),(4,1),(4,2),(4,3),(5,1),(5,2),(5,3),(5,4)}. ∴B 中所含元素的个数为10.2.【解析】选C.若命题为真，则a ≥x 2,故a ≥4为充要条件，充分不必要条件为a ≥5.3.【解析】选D.阴影部分的元素x ∈A 且x ∉B ，即A ∩U B,选项D 符合要求.4.【解析】选B.由特称命题的否定是全称命题可知否定为任意一个无理数，它的平方不是有理数.5.【解析】选D.A={x||2x+3|＜5}={x|-4＜x ＜1},B={x|y=log 3(x+2)}={x|x+2＞0}={x|x ＞-2}, 所以A ∩B={x|-2＜x ＜1},所以U (A ∩B)={x|x ≥1或x ≤-2},故选D.6.【解析】选C.由题意得：a ＜c ＜0＜d ＜b,所以M ⊕N=(a ，c ］∪［d ，b).也可以利用举特例：如a=-5,b=4,c=-3,d=2.【易错提示】解答本题时易因搞不清a ，b ，c ，d 的关系而无法求解，错误的缘由是不理解条件a+b=c+d,ab ＜cd ＜0所致.7.【解析】选 C.2x 1x 1--<0⇒x 1x 1+-<0⇒(x-1)(x+1)<0⇒p:-1<x<1;当a ≥3时，q:x<3或x>a ；当a<3时，q:x<a 或x>3.p q ⌝⌝是的必要不充分条件，即p 是q 的充分不必要条件，即p ⇒q 且q p ，可推出a 的取值范围是a ≥1. 8.【解析】选D.由题意可得，A={1,2}，B={1，2，3，4}.又∵A ⊆C ⊆B ，∴C={1,2}或{1,2,3}或{1，2，4}或{1，2，3，4}，故选D. 9.【解析】选C.由已知得p 真q 假，即1∈A 且2∉A ，故1＜a ≤2，故选C. 10.【解析】选D.函数在［－2,0］上的最小值为f(0)=3，所以①不正确.线性回归方程对应的直线y bx a =+肯定过(x,y )，不肯定过样本点，所以②不正确.③正确.x 1+5，x 2+5，…，x 10+5的平均数为a+5,方差为b ，所以④不正确，所以错误的命题个数为3，故选D.11.【解析】M={x|x<0或x>1}，N={y|y ≥0}， ∴M ∩N=(1,+∞). 答案：(1,+∞)12.【解析】若p ∨q 为真命题，则p,q 中至少有一个真即可，③错误; ①②④正确. 答案：③13.【解析】设既爱好体育又爱好电脑的同学有x 人，画出Venn 图，易得(32-x)+x+(40-x)+7=60. 解之得x=19.答案：1914.【解析】由于命题“存在x ∈R ，使e |x-1|-m ≤0”是假命题，所以其否定为真命题，即对于任意x ∈R ，e |x-1|-m ＞0成立，即m ＜e |x-1|恒成立，即m 小于函数y=e |x-1|的最小值即可.e|x-1|≥1，∴m＜1，结合已知条件可得a=1. 答案：1。

2024年高考语文第二轮专题复习强化训练：语言文字运用阅读下面的文字，完成下题。

事有凑巧，在不同的时间和不同的地方，我听见过三位老师讲“破釜沉舟”这个成语。

第一位教师是这样讲的：“‘破釜沉舟’表示坚决的意思。

做事一定要坚决。

无论做什么，只要是正当的、应该做的事，就必须抱定只许前进而不许后退、只许胜利而不许失败的决心，只有这样才能得到成功。

如果(______________)，工作还没开始就准备下失败的退路，那样一定不会成功。

①当然，②前进的目的必须正确。

③在这一点上，④我们不能跟古人相提并论。

由于时代的局限，古人，尤其是封建统治阶级的人，做事的目的在今天看来很多是成问题的，下定决心做好事是应当的，如果坚决做坏事，那就不应当了。

”第二位教师是另一种讲法，他说：“‘釜’就是锅，‘舟’就是船。

‘破’和‘沉’都是动词。

‘破釜’是‘使釜破’的意思，也就是把锅砸碎；‘沉舟’是‘使舟沉’的意思，也就是把船凿沉。

这样用法的动词叫作‘使动词’。

同是做饭的工具，古代叫‘釜’，现代叫‘锅’；同是水上运输工具，古代叫‘舟’，现代叫‘船’；这是古今词汇的演变。

像古代叫‘冠’，现代叫‘帽子’，古代叫‘履’，现代叫‘鞋’，都是这种情形。

曹植《七步诗》里有‘豆在釜中泣’的句子，______________，这里的‘釜’和‘舟’跟‘破釜沉舟’里的‘釜’和‘舟’意思相同。

”第三位教师讲得比较简单，话说得比较少。

他这样讲：“项羽渡河进攻秦朝的军队，渡河之后，把造饭的锅砸碎，把船凿沉，断了自己的退路，以示有进无退的决心，终于把秦军打败了。

后来大家就用‘破釜沉舟’这个成语表示下定最大的决心，不顾任何牺牲的意思。

”1．将下列俗语填入文中括号内，恰当的一项是（）A．干打雷不下雨 B．又吃鱼又嫌腥C．前怕狼后怕虎 D．首尾不能兼顾2．文中画线的语句中有一处表述不当，请标出原句序号后再做修改，并使修改后的语句与上下文的衔接流畅自然。

3．请在横线处仿照上句补写恰当的句子，要求内容正确贴切，语意完整连贯。

强化训练1 集合、常用逻辑用语、不等式一、单项选择题(本大题共8小题，每小题5分，共40分，在每小题给出的四个选项中，只有一个是符合题目要求的)1．[2022·全国甲卷]设全集U ＝{－2，－1，0，1，2，3}，集合A ＝{－1，2}，B ＝{x |x 2－4x ＋3＝0}，则∁U (A ∪B )＝( )A ．{1，3}B ．{0，3}C ．{－2，1}D ．{－2，0}2．[2022·全国乙卷]设全集U ＝{1，2，3，4，5}，集合M 满足∁U M ＝{1，3}，则( )A ．2∈MB ．3∈MC ．4∉MD ．5∉M3．[2022·湖南常德一模]已知集合A ＝{x ∈Z |x 2≤1}，B ＝{x |x 2－mx ＋2＝0}，若A ∩B ＝{1}，则A ∪B ＝( )A ．{－1，0，1}B ．{x |－1≤x ≤1}C ．{－1，0，1，2}D ．{x |－1≤x ≤2}4．[2022·山东潍坊二模]十七世纪，数学家费马提出猜想：“对任意正整数n >2，关于x ，y ，z 的方程x n ＋y n ＝z n 没有正整数解”，经历三百多年，1995年数学家安德鲁·怀尔斯给出了证明，使它终成费马大定理，则费马大定理的否定为( )A ．对任意正整数n ，关于x ，y ，z 的方程x n ＋y n ＝z n 都没有正整数解B ．对任意正整数n ＞2，关于x ，y ，z 的方程x n ＋y n ＝z n 至少存在一组正整数解C.存在正整数n ≤2，关于x ，y ，z 的方程x n ＋y n ＝z n 至少存在一组正整数解D ．存在正整数n ＞2，关于x ，y ，z 的方程x n ＋y n ＝z n 至少存在一组正整数解5．[2022·江苏南京模拟]设a 、b 均为非零实数，且a <b ，则下列结论中正确的是( ) A ．1a >1bB ．a 2<b 2C ．1a 2 <1b 2D ．a 3<b 3 6．[2022·山东潍坊一模]已知a >0，则“a a >a 3”是“a >3”的( )A ．充分不必要条件B ．必要不充分条件C ．充要条件D ．既不充分也不必要条件7．[2022·广东汕头三模]下列说法错误的是( )A ．命题“∀x ∈R ，cos x ≤1”的否定是“∃x 0∈R ，cos x 0>1”B ．在△ABC 中，sin A ≥sin B 是A ≥B 的充要条件C ．若a ，b ，c ∈R ，则“ax 2＋bx ＋c ≥0”的充要条件是“a >0，且b 2－4ac ≤0”D ．“若sin α≠12 ，则α≠π6”是真命题 8．[2022·河北保定二模]已知a ，b ∈(0，＋∞)，且a 2＋3ab ＋4b 2＝7，则a ＋2b 的最大值为( ) A.2 B ．3C ．22D ．32二、多项选择题(本大题共4小题，每小题5分，共20分，在每小题给出的四个选项中，有多个符合题目要求，全部选对得5分，部分选对得2分，选错或多选得0分)9．[2022·湖北武汉二模]已知集合A ＝{1，4，a }，B ＝{1，2，3}，若A ∪B ＝{1，2，3，4}，则a 的取值可以是( )A ．2B ．3C ．4D ．510．[2022·广东汕头二模]已知a ，b ，c 满足c <a <b ，且ac<0，那么下列各式中一定成立的是( )A ．ac (a －c )>0B ．c (b －a )<0C ．cb 2<ab 2D ．ab >ac11．[2022·江苏南京三模]设P ＝a ＋2a，a ∈R ，则下列说法正确的是( ) A ．P ≥22B ．“a ＞1”是“P ≥22 ”的充分不必要条件C.“P ＞3”是“a ＞2”的必要不充分条件D ．∃a ∈(3，＋∞)，使得P ＜312．[2022·辽宁葫芦岛二模]已知a >b >0，a ＋b ＋1a ＋1b＝5，则下列不等式成立的是( )A.1<a ＋b <4B ．(1a ＋b )(1b＋a )≥4 C ．(1a ＋b )2>(1b＋a )2 D ．(1a ＋a )2>(1b＋b )2 三、填空题(本题共4小题，每小题5分，共20分)13．[2022·南京师大附中模拟]命题“∀x >1，x 2≥1”的否定是____________．14．[2022·福建三明模拟]已知命题p ：∃x ∈R ，x 2－ax ＋a <0，若命题p 为假命题，则实数a 的取值范围是________．15．[2022·湖南怀化一模]已知a ∈R ，且“x >a ”是“x 2>2x ”的充分不必要条件，则a 的取强化训练1 集合、常用逻辑用语、不等式1．解析：由题意，B ＝{x|x2－4x ＋3＝0}＝{1，3}，所以A ∪B ＝{－1，1，2，3}，所以∁U （A ∪B ）＝{－2，0}．答案：D2．解析：由题知M ＝{2，4，5}，对比选项知，A 正确，BCD 错误． 答案：A3．解析：解不等式x2≤1得：－1≤x≤1，于是得A ＝{x ∈Z|－1≤x≤1}＝{－1，0，1}，因A∩B ＝{1}，即1∈B ，解得m ＝3，则B ＝{1，2}，所以A ∪B ＝{－1，0，1，2}．答案：C4．解析：命题的否定形式为全称量词命题的否定是存在量词命题．故只有D 满足题意．答案：D5．解析：对于A ，取a ＝－1，b ＝1，则1a <1b ，A 错误；对于B ，取a ＝－1，b ＝1，则a2＝b2，B 错误；对于C ，取a ＝－1，b ＝1，则1a2 ＝1b2 ，C 错误；对于D ，因a<b ，则b3－a3＝（b －a ）（b2＋ab ＋a2）＝（b －a ）·⎣⎢⎡⎦⎥⎤（b ＋12a ）2＋34a2 >0，即a3<b3，D 正确． 答案：D6．解析：若0<a<1，由aa>a3可得a<3，此时0<a<1； 若a ＝1，则aa ＝a3，不合乎题意；若a>1，由aa>a3可得a>3，此时a>3.因此，满足aa>a3的a 的取值范围是{a|0<a<1或a>3}，因为{a|0<a<1或a>3}{a|a>3}，因此，“aa>a3”是“a>3”的必要不充分条件．答案：B7．解析：A.命题“∀x ∈R ，cos x≤1”的否定是“∃x0∈R ，cos x0>1”，正确；B ．在△ABC 中，sin A≥sin B ，由正弦定理可得a 2R ≥b 2R （R 为外接圆半径），a≥b ，由大边对大角可得A≥B ；反之，A≥B 可得a≥b ，由正弦定理可得sin A≥sin B ，即为充要条件，故正确；C.当a ＝b ＝0，c≥0时满足ax2＋bx ＋c≥0，但是得不到“a>0，且b2－4ac≤0”，则不是充要条件，故错误；D ．若sin α≠12 ，则α≠π6 与α＝π6 则sin α＝12 的真假相同，故正确．答案：C8．解析：7＝（a ＋2b ）2－ab ＝（a ＋2b ）2－12 a·2b≥（a ＋2b ）2－12 （a ＋2b 2 ）2＝7（a ＋2b ）28， 则（a ＋2b ）2≤8，当且仅当a ＝2b ＝ 2 时，“＝”成立，又a ，b ∈（0，＋∞），所以0<a ＋2b≤2 2 ，当且仅当a ＝2b ＝ 2 时，“＝”成立，所以a ＋2b 的最大值为2 2 . 答案：C9．解析：因为A ∪B ＝{1，2，3，4}，所以{1，4，a}{1，2，3，4}，所以a ＝2或a ＝3.答案：AB10．解析：因为a ，b ，c 满足c<a<b ，且ac<0，所以c<0，a>0，b>0，a －c>0，b －a>0，所以ac （a －c ）<0，c （b －a ）<0，cb2<ab2，ab>ac.答案：BCD11．解析：A 错误，当a<0时，显然有P 小于0；B 正确，a>1时，P ＝a ＋2a ≥2a·2a ＝2 2 ，当且仅当a ＝2a 时，即a ＝ 2 时等号成立．故充分性成立，而P≥2 2 只需a>0即可；C 正确，P ＝a ＋2a >3可得0<a<1或a>2，当a>2时P>3成立，故C 正确；D 错误，因为a>3有a ＋2a >3＋23 >3，故D 错误． 答案：BC12．解析：a ＋b ＋1a ＋1b ＝5，即a ＋b ＋a ＋b ab ＝5，所以ab ＝a ＋b 5－（a ＋b ），因为a>b>0，所以由基本不等式得：ab<（a ＋b ）24 ，所以a ＋b 5－（a ＋b ） <（a ＋b ）24， 解得：1<a ＋b<4，A 正确；（1a ＋b ）（1b ＋a ）＝1ab ＋ab ＋2≥21ab ·ab ＋2≥4，当且仅当1ab ＝ab 时等号成立，故B 正确；（1a ＋b ）2－（1b ＋a ）2＝（1a ＋b ＋1b ＋a ）（1a ＋b －1b －a ）＝（1a ＋b ＋1b ＋a ）（1ab ＋1）（b －a ），因为a>b>0，所以（1a ＋b ＋1b ＋a ）（1ab ＋1）（b －a ）<0，所以（1a ＋b ）2<（1b ＋a ）2，C 错误；（1a ＋a ）2－（1b ＋b ）2＝（1a ＋a ＋1b ＋b ）（1a ＋a －1b －b ）＝（1a ＋a ＋1b ＋b ）（1ab －1）（b －a ），因为a>b>0，而1ab 可能比1大，可能比1小，所以（1a ＋a ＋1b ＋b ）（1ab －1）（b －a ）符号不确定，所以D 错误．答案：AB13．解析：因为命题“∀x>1，x2≥1”是全称量词命题，所以其否定是存在量词命题，即 “∃x>1，x2<1”．答案：“∃x>1，x2<1”14．解析：根据题意，∀x ∈R ，x2－ax ＋a≥0恒成立，所以Δ＝a2－4a≤0⇒a ∈[0，4].答案：[0，4]15．解析：x2>2x 等价于x<0或x>2，而且“x>a”是“x2>2x”的充分不必要条件，则a≥2.答案：[2，＋∞）16．解析：因为第一象限的点M （a ，b ）在直线x ＋y －1＝0上，所以a ＋b ＝1，a>0，b>0，所以1a ＋2b ＝（a ＋b ）（1a ＋2b ）＝3＋b a ＋2a b ≥3＋2 2 ，当且仅当a ＝ 2 －1，b ＝2－ 2 时等号成立．答案：3＋2 2。

【走向高考】2017届高三英语二轮专题复习强化提升习题狂练：新短文改错题型1 高考体验题组(一)(全国Ⅰ)I hardly remember my grandmother. She used to holding me on her knees and sing old songs. I was only four when she passes away. She is just a distant memory for me now.I remember my grandfather very much. He was tall, with broad shoulder and a beard that turned from black toward gray over the years. He had a deep voice, which set himself apart from others in our small town, he was strong and powerful. In a fact, he even scared my classmates away during they came over to play or do homework with me. However, he was the gentlest man I have never known.答案：I hardly remember my grandmother. She used to holdingholdme on her knees andsing old songs. I was only four when she passespassedaway. She is just a distant memory for me now.I remember my grandfather very muchwell/clearly . He was tall, with broad shouldershouldersand a beard that turned from black towardto/intogray over the years. He had a deepvoice, which set himselfhim apart from others in our small town, ∧andhe was strongand powerful. In a＼fact, he even scared my classmates away duringwhenthey came over to play or do homework with me. However, he was the gentlest man I have nevereverknown.(二)(全国Ⅱ)The book I'm reading of talks about afternoon tea in Britain. It is said to have started in the early 1800's. Have tea in the late afternoon provides a bridge between lunch and dinner, that might not be served until 8 o'clock at night. This custom soon bees another meal of day. Interesting, it had a connection by the British porcelain(瓷器) industry. Tea in China was traditionally drank from cups without handles. When tea got popular in Britain, there was a crying need for good cup with handles to suit British habits. This made for the grow in the porcelain industry.答案：The book I'm reading of＼talks about afternoon tea in Britain. It is said to havestarted in the early 1800's. HaveHavingtea in the late afternoon provides a bridgebetween lunch and dinner, thatwhichmight not be served until 8 o'clock at night. Thiscustom soon beesbecame another meal of ∧theday. InterestingInterestingly，it had a connection bywiththe British porcelain(瓷器) industry. Tea in China was traditionally drankdrunkfrom cups without handles. When tea got popular in Britain, there was a crying need for goodcup cups with handles to suit British habits. This made for the growgrowthin the porcelainindustry.(三)(XX)Dear Diary，Here I am in the middle of a city, 350 miles far away from our farmhouse. Doyou want to know why we move last week? Dad lost his job, and as Mom explained ，“He was lucky to find other one.” His new job meant I had to say goodbye to my classmate, my school or just everything else I love in the world. To make matters bad, now I have to share a room with my younger sister, Maggie. Tomorrow is first day of school. I am awfully tiring, but I know I'll never fall sleep.Good night and remember you, dear diary, is my only souvenir from my past life and my only friend.Yours ，Rosemary答案：Dear Diary ，Here I am in the middle of a city, 350 miles far ＼ away from our farmhouse. Do you want to know why we move movedlast week? Dad lost his job, and as Momexplained ，“He was lucky to find other anotherone.” His new job meant I had to saygoodbye to my classmate classmates ， my school or andjust everything else I love in the world.To make matters bad worse， now I have to share a room with my younger sister, Maggie.Tomorrow is ∧the/my first day of school. I am awfully tiring tired， but I know I'll never fallsleep asleep.Good night and remember you, dear diary, is aremy only souvenir from my pastlife and my only friend.Yours ，Rosemary(四)(XX)Mr. Johnson is a hardworking teacher. Every day, he spends too much time with his work. With little sleep and hardly any break, so he works from morning till night. Hard work have made him very ill. “He has ruined his healthy. We are worried about him.”That is which other teachers say. Yesterday afternoon, I paid visit to Mr. Johnson. I was eager to see him, but outside her room I stopped. I had to calm myself down. Quietly I step into the room. I saw him lying in bed, looking at some of the picture we had taken together. I understood that he missed us just as many as we missed him.答案：Mr. Johnson is a hardworking teacher. Every day, he spends too much timewithonhis work. With little sleep and hardly any break, so＼he works from morning tillnight. Hard work havehas made him very ill. “He has ruined his healthyhealth. We areworried about him.”That is whichwhatother teachers say. Yesterday afternoon, I paid∧a visit to Mr. Johnson. I was eager to see him, but outside herhisroom I stopped. Ihad to calm myself down. Quietly I stepsteppedinto the room. I saw him lying in bed,looking at some of the picturepictureswe had taken together. I understood that he missedus just as manymuchas we missed him.(五)(XX)My grandfather and I enjoy fishing.One Sunday morning we go fishing at a lake. We took ours fishing poles and headed for the lake. As soon as we arrived, so we dropped the lines into the water. Before waiting for about half an hour, I was beginning to get impatiently. I wanted to give up, and my grandfather told me to wait a little longer. Finally, there were a sudden pull at the pole and fish was caught. Within the next few minute, my grandfather also caught a fish.Felt hungry, we built a fire by the lake and barbecued the fish. It was delicious.答案：My grandfather and I enjoy fishing.One Sunday morning we gowent fishing at a lake. We took oursourfishing poles andheaded for the lake. As soon as we arrived, so＼we dropped the lines into the water.Before After waiting for about half an hour, I was beginning to get impatientlyimpatient. I wantedto give up, andbut my grandfather told me to wait a little longer. Finally, there werewasa sudden pull at the pole and ∧a fish was caught. Within the next few minuteminutes，mygrandfather also caught a fish.FeltFeelinghungry, we built a fire by the lake and barbecued the fish. It was delicious.(六)(XX)Today we had a chemistry test. I found the test difficulty, but I tried hardly to do it. Suddenly Mary, my best friend, asking me to let her to copy my answers. After think for some time, I let her copy my answers. But after the test, all of us were called to the teacher's office. The teacher was angry because we had same answers in the tests. We were warned not to cheat again so she would need to see ourparents. I was very upset. I didn't cheat. I was just helping a friend. Why does she punish me?答案： Today we had a chemistry test. I found the test difficulty difficult ， but I tried hardly hardtodo it. Suddenly Mary, my best friend, asking askedme to let her to ＼ copy m y answers.After think thinking for some time, I let her copy my answers. But after the test, all bothof uswere called to the teacher's office. The teacher was angry because we had ∧thesameanswers in the tests test . We were warned not to cheat again so orshe would need to seeour parents. I was very upset. I didn't cheat. I was just helping a friend. Why does didshe punish me ？题型2 高考模拟题组(七)(XX 市二模)Uncle Marion was one of my mother's younger brother. He has been died for a year. When I was a teenager, he taught us how to hunt in the New Jersey woods used the hours before dawn. We usually left home at three o'clock in the morning, stayed in local restaurant for breakfast, and then travel on to one of his hunting destinations. Just after dawn, he would find the right spot in the woods. He would show me how not to make a sound and a movement. Though I never hunted an animal successfully, but I learned to be brave and patiently through the experience.答案：Uncle Marion was one of my mother's younger brother brothers . He has been died deadfora year. When I was a teenager, he taught us me how to hunt in the New Jersey woods used usingthe hours before dawn. We usually left home at three o'clock i n the morning, stayed in ∧a local restaurant for breakfast, and then travel travelledon to one of his huntingdestinations. Just after beforedawn, he would find the right spot in the woods. He wouldshow me how not to make a sound and ora movement. Though I never hunted ananimal successfully, but ＼ I learned to be brave and patiently patientthrough theexperience.(八)(XXXXXX 三市三调)My dream is to bee a school teacher in the future. In fact, I had the dream of being a teacher since my childhood. In my opinion, without teachers, no society could make progresses. There is no doubt whether teachers play an important role in children growth. Not only do teachers pass on knowledge for children, but they also teach children how to behave themselves. paring with other jobs, teaching is hard and the pay is lower. And to me, what great fun it is to be with children! They make me to feel young foreve r. Because I'll study harder and try my best to realize my dream.答案：My dream is to bee a school teacher in the future. In fact, I ∧havehad the dreamof being a teacher since my childhood. In my opinion, without teachers, no society could make progresses progress . There is no doubt whether thatteachers play an importantrole in childrenchildren's growth. Not only do teachers pass on knowledge fortochildren, butthey also teach children how to behave themselves. paringparedwith other jobs,teaching is hardharder and the pay is lower. AndButto me, what great fun it is to be withchildren! They make me to＼feel young forever. BecauseSoI'll study harder and try my best to realize my dream.(九)(XX市统检)I'm sorry to tell you that I won't be able to visit Beijing with you in next weekend, just because my elder sister would e to visit us while my parents are very busy. They take it for granted what I should pick him up . You see, we haven't seen each other for ages. And she is eager to seeing what has great changed in our city.I want to express my apologize again for making you waiting for me. What is more, I hope that I can get another chances to go to Beijing with you when it is convenient to you. Are you free two weeks late? If you are available that time, please inform me.Thank a lot!答案：I'm sorry to tell you that I won't be able to visit Beijing with you in＼next weekend, just because my elder sister wouldwille to visit us while my parents are verybusy. They take it for granted whatthat I should pick himherup . You see, we haven't seeneach other for ages. And she is eager to seeingsee what has greatgreatlychanged in ourcity.I want to express my apologizeapologyagain for making you waiting for me. What ismore, I hope that I can get another chanceschanceto go to Beijing with you when it isconvenient to you. Are you free two weeks latelater？If you are available that time, please inform me.ThankThanksa lot!(十)(XX市二模)I'm glad to tell you that I have made great progress in my English study since I became the senior high school student.When I started senior English, I found much more difficult than that we learned in junior school and I almost lost my heart. Later, I realized the important of English, so I got up early every morning, recite English word, listened to English tapes and did a lot of exercise. I also asked my teachers and classmates for better ways to learning English.Now, I'm improving my English greatly. But I'm getting more and more interested with learning it.Thank you so much for your great help in your class.答案：I'm glad to tell you that I have made great progress in my English study since I became theasenior high school student.When I started senior English, I found ∧it much more difficult than thatwhatwelearned in junior school and I almost lost my＼heart. Later, I realized the importantimportanceof English, so I got up early every morning, reciterecitedEnglish word, listened to Englishtapes and did a lot of exerciseexercises. I also asked my teachers and classmates for betterways tooflearning English.Now, I'm improving my English greatly. ButAndI'm getting more and moreinterested withinlearning it.Thank you so much for your great help in your class.(十一)(东北三省三校第二次联考)Yesterday, Li Mei goes to a store to return a shirt without carrying the receipt(收据)．When she got there，she refused. The salesman said that he wouldn't take it back if she showed him the receipt. Thinking it was no way out，Li Mei put the shirt back in her bag and left. Suddenly two shop guard stopped her and began to search for her. They found the shirt in the bag and looked at it careful. Many eyes were staring at her, what made Li Mei very embarrassing. Luckily, a salesman came up in time and she was allowed to go.答案：Yesterday, Li Mei goeswentto a store to return a shirt without carrying thereceipt(收据)．When she got there，she ∧wasrefused. The salesman said that hewouldn't take it back ifunless she showed him the receipt. Thinking ittherewas no wayout，Li Mei put the shirt back in her bag and left. Suddenly two shop guardguards stopped her and began to search for＼her. They found the shirt in the bag andlooked at it careful carefully . Many eyes were staring at her, what whichmade Li Mei veryembarrassing embarrassed . Luckily, a thesalesman came up in time and she was allowed to go. (十二) (XX 省部分学校第二次联考)I'm a senior student from China, aging seventeen. While surfing the Internet, I have found that your organization will hold a summer camp in Singapore. With greatly interest, I'd like to apply for them. I'm an outgoing girl who like municating with others. I could speak English well. My written English is excellent, either. I wish to join in the activities. For one thing, I'm willing to introduce China to other students from all over world; for another, I expect to learn from more about other countries. In addition, I'd like to make friend. The chance is so precious as I'm really looking forward to your approval.答案：I'm a senior student from China, aging agedseventeen. While surfing the Internet, Ihave found that your organization will hold a summer camp in Singapore. With greatly great interest, I'd like to apply for them it . I'm an outgoing girl who like likes municating with others. I could canspeak English well. My written English is excellent,either too. I wish to join in the activities. For one thing, I'm willing to introduce China to other students from all over ∧theworld; for another, I expect to learn from ＼ moreabout other countries. In addition, I'd like to make friend friends. The chance is so preciousas thatI'm really looking forward to your approval.(十三)(琼海市质监)When I first learned to write in English, I run into many difficulties. The main problem was in that I always thought in Chinese and tried to translate anything into English. My teacher advised me to keep my diary. I followed her advice so put down 100 words or so each day. Soon I began to enjoy talk to myself on paper as I was learning to express me in simple English. One day I wrote a little story and showed to my teacher. She liked it very much and reading it to the class. All said the story was a good one. Their word were a great encouragement to me.答案：When I first learned to write in English, I runraninto many difficulties. The mainproblem was in＼that I always thought in Chinese and tried to translate anythingeverythinginto English. My teacher advised me to keep mya diary. I followed her advice soandput down 100 words or so each day. Soon I began to enjoy talktalkingto myself onpaper as I was learning to express memyselfin simple English. One day I wrote a littlestory and showed ∧it to my teacher. She liked it very much and readingreadit to theclass. All said the story was a good one. Their wordwordswere a great encouragement to me.(十四)(XX市二模)Li Yue and Zhang Hua went to nursing home and did some voluntary work on May Day. At their arrival, they were warm weled. They presented the elderly peoplewith flowers and fruits. Then, they started working at once, cleaning the windows and swept the floor. Everything done, they sit in the yard chatting with the elderly. When it was time for the volunteer to leave, the elderly thanked them for their kindness. Li Yue and Zhang Hua were very happy because of what they did bring joy to others. It also enriched our own experience. They made a promise which they would e again to see the elder ly whenever they were free.答案：Li Yue and Zhang Hua went to ∧anursing home and did some voluntary workon May Day. AtOn their arrival, they were warmwarmlyweled. They presented the elderlypeople with flowers and fruits. Then, they started working at once, cleaning thewindows and sweptsweeping the floor. Everything done, they sitsatin the yard chatting withthe elderly. When it was time for the volunteervolunteersto leave, the elderly thanked them for their kindness. Li Yue and Zhang Hua were very happy because of＼what theydid bringbrought joy to others. It also enriched ourtheirown experience. They made apromise whichthatthey would e again to see the elderly whenever they were free.(十五)(XX省六市第二次联考)It's reported that many people died of traffic accidents each year. Road safety has aroused the widely attention of the public. Many rules have made to reduce the traffic crashes, especially for the ones involved in the pedestrians. In my opinion, we should make road saf ety seriously in our daily life. While used the road, we must walk on the pavement and learn to protect us. Besides, car drivers should obey the traffic rules, that is both good for themselves and others.In the word, obeying the traffic rules are what all of us should pay attention to particularly. After all, life is not a small matter.答案：It's reported that many people dieddieof traffic accidents each year. Road safetyhas aroused the widelywide attention of the public. Many rules have ∧beenmade toreduce the traffic crashes, especially for＼the ones involved in the pedestrians. Inmy opinion, we should maketake road safety seriously in our daily life. While usedusingtheroad, we must walk on the pavement and learn to protect usourselves. Besides, cardrivers should obey the traffic rules, thatwhichis both good for themselves and others.In thea word, obeying the traffic rules areiswhat all of us should pay attentionto particularly. After all, life is not a small matter.(十六)(XX市二模)Dear David，I have recently felt guilty, stay sleepless at night. You may wonder how. To tell you the truth, it is just because of the fact that I seldom cheat in exams and I just can't stop me. In many exams, I used cellphones to surf the net for answer. Besides, I sometimes referred them to my notebooks so copied something. As you know, cheating do much harm to our learning and self­confidence. It's time that I take action to stop it. I would appreciate it you could offer me some advice.Looking forward to your reply!答案：Dear David，I have recently felt guilty, staystaying sleepless at night. You may wonder howwhy. To tellyou the truth, it is just because of the fact that I seldomoftencheat in exams and I justcan't stop memyself . In many exams, I used cellphones to surf the net for answeranswers.Besides, I sometimes referred them＼to my notebooks soandcopied something. Asyou know, cheating dodoesmuch harm to our learning and self­confidence. It's timethat I taketook action to stop it. I would appreciate it ∧ifyou could offer me someadvice.Looking forward to your reply!(十七)(XX市三模)Jack has regarded as a young hero in his town for his heroic deed.The other day, Jack was going home by bike as usual while he heard a woman screaming for help.Then he was riding quickly towards the direction of the voice.At the corner, he saw a woman stopping by a man with a knife in her hand.Without hesitation, Jack made a immediate dive for the robber and controlled him by held him down against the ground.A few minutes later, three policeman came and took the robber away.Slight wounded as he was in the left hand, but since then he has bee well known as a young hero all over the town.答案：Jack has ∧beenregarded as a young hero in his town for his heroic deed.Theother day, Jack was going home by bike as usual whilewhenhe heard a womanscreaming for help.Then he was riding quickly towardsinthe direction of thevoice.At the corner, he saw a woman stoppingstopped by a man with a knife in herhishand.Without hesitation, Jack made aanimmediate dive for the robber andcontrolled him by heldholdinghim down against the ground.A few minutes later, threepoliceman policemen came and took the robber away.SlightSlightlywounded as he was in the lefthand, but＼since then he has bee well known as a young hero all over the town.(十八)(XX市第四次调测)I still remember my middle school life in Changchun. I was then in school for student from Wenchuan. As we were all left home of an early age, we met lots of problems in our daily life. We had to do the washing, cleaning and shopping by us. However, we seldom felt lonely or helplessly. We enjoyed our happy life. At weekends, we will play basketball on the playground, swimming in the pool or go for a piic in the park. We were living in a big family. We treat each other as brothers and sisters. It has been five years when we graduated, but those memories are as sweet as ever before.答案：I still remember my middle school life in Changchun. I was then in ∧aschoolfor studentstudents from Wenchuan. As we were＼all left home ofatan early age, we metlots of problems in our daily life. We had to do the washing, cleaning and shoppingby usourselves . However, we seldom felt lonely or helplesslyhelpless. We enjoyed our happy life.At weekends, we willwould play basketball on the playground, swimmingswimin the pool orgo for a piic in the park. We were living in a big family. We treattreatedeach other asbrothers and sisters. It has been five years whensincewe graduated, but those memories are as sweet as ever before.(十九)(XX省二诊)Many teachers worried about the effects of television on young people. According to studies, any children spend more time watching television than they spend in school. Because so much viewing, children may not be develop the habit of read and the ability to enjoy themselves. No one worries much about the radio program young people listen to, although radios can be very noise.T eachers also wonder about the effects of television mercials. On one year the average child will see 25,000 television mercials, all planned and written by grown­ups to make children to want things that they don't real need.答案：Many teachers ∧areworried about the effects of television on young people.According to studies, anymanychildren spend more time watching television than theyspend in school. Because ∧ofso much viewing, children may not be＼develop thehabit of readreadingand the ability to enjoy themselves. No one worries much about theradio programprograms young people listen to, although radios can be very noisenoisy.T eachersalso wonder about the effects of television mercials. OnInone year the average childwill see 25,000 television mercials, all planned and written by grown ­ups to make children to ＼ want things that they don't real really need.(二十)(乌鲁木齐三诊)Rock climbing is increasingly being a more popular sport for people of all ages. In my mind ，it is real positive in our life. On one hand ，it is great exercise. It not only build up our strength and endurance and it also helps increase our balance and determination. On the other hands, it allows us to get outside enjoy nature. For those of them who spend our days outside working or studying, getting out and seeing plants and animals in nature can be quite refreshed. For conclusion, it is a good to go climbing at least once a month. Working up a good sweat, having fun with friends, and finishing the route, we will get a sense of satisfaction.答案：Rock climbing is increasingly being a more popular sport for people of all ages. In my mind ，it is real reallypositive in our life. On one hand ，it is great exercise. It notonly build builds up our strength and endurance and butit also helps increase our balanceand determination. O n the other hands hand ， it allows us to get outside ∧toenjoynature. For those of them us who spend our days outside insideworking or studying,getting out and seeing plants and animals in nature can be quite refreshed refreshing . For Inconclusion, it is a ＼ good to go climbing at least once a month. Working up a good sweat, having fun with friends, and finishing the route, we will get a sense of satisfaction.(二十一)(XX 市适应性检测)We had a discussion on “overnight ­fame ” last week. Nowadays, many people were crazy about instant fame and wealthy. To be honest, it is not bad be famous or have a lot of money, but I don't agree to the view that people rise to fame overnight. We all know “easy e, easy go ”. Let's take Li An as the example. Only after his hard works did he bee successful. Or we can list more similar cases if need. What I do believe is that the process in which you try our best. It is what we have experienced along the way to success that we treasure and enjoy mostly.答案：We had a discussion on “overnight ­fame ” last week. Nowadays, many people were are crazy about instant fame and wealthy wealth . To be honest, it is not bad ∧tobe famous or have a lot of money, but I don't agree to the view that people rise to fame overnight. We all know “easy e, easy go ”. Let's take Li An as the anexample.Only after his hard works work did he bee successful. Or Andwe can list more similar casesif need needed . What I do believe is that ＼ the process in which you wetry our best. It is what we have experienced along the way to success that we treasure and enjoy mostly most.(二十二)(XX 省五校联考)A young man called Low ­Carbon Brother bee a hit on the Internet in 2011. He suggests living a low ­carbon life, which means using less energy in our daily life so that we can help reducing carbon dioxide in the air. For example, she always picks up some waste paper on the street or uses the blank side to write something. While he is watching TV, he always turns up the screen brightness to the minimum and。

2022高考英语二轮复习-完形填空阅读理解短文改错高效练习(1)一. 完形填空(共20小题；每小题2.5分,满分50分)阅读下面短文,从短文后各题所给的四个选项中,选出能够填入空白处的最佳选项。

There was a woman in Detroit, who has two sons. She was worried 1 them, especially the younger one, Ben, 2 he was not doing well in school. Boys in his class 3 fun of him because he seemed so 4 .The mother 5 that she would, herself, have to get her sons to do better in school. She6 them to go to the Detroit Public Library to read a7 a week and do a report about it for her.One day, in Ben’s 8 , the teacher held up a rock and asked if anyone knew it. Ben 9up his hand and the teacher let him 10 . “Why did Ben raise his hand” they wondered. He 11 said anything；what could he possibly want to say？Well, Ben not only 12 the rock；he said a lot about it. He named other rocks in its group and even knew 13 the teacher had found it. The teacher and the students were 14 . Ben had learned all this from doing one of his book 15 .Ben later went on to the 16 of his class. When he finished high school, he went to Yale University 17 at last became one of the best doctors in the United States.After Ben had grown up, he 18 something about his mother that he did not know as a19 .She, herself, had never learned how to 20 .1. A. about B. on C. with D. over2. A. because B. so C. but D. though3. A. played B. got C. took D. made4. A. clever B. hard C. slow D. quick5. A. asked B. decided C. forgot D. heard6. A. made B. let C. told D. considered7. A. notice B. message C. book D. question8. A. class B. room C. office D. lab9. A. looked B. gave C. took D. put10. A. think B. leave C. stand D. speak11. A. always B. even C. quickly D. never12. A. found B. played C. knew D. threw13. A. whether B. when C. where D. why14. A. afraid B. surprised C. worried D. unhappy15. A. pictures B. exercises C. shops D. reports16. A. top B. end C. back D. side17. A. so B. and C. or D. however18. A. learnt B. remembered C. understood D. guessed19. A. doctor B. child C. student D. teacher20. A. read B. work C. teach D. show二. 阅读明白得(共13小题；每小题3分,满分39分) 阅读下列短文,从每题所给的四个选项中,选出最佳选项。

高三生物二轮复习之判断题2 2015-4-28判断下列内容对错，把错误的内容在每句话的下面空白处进行订正1、大肠杆菌比酵母菌物质交换效率低2、蓝藻以有丝分裂方式进行增殖3、肺炎双球菌在线粒体内完成有氧呼吸4、细胞膜内外两侧结合的蛋白质种类有差异5、载体蛋白是镶嵌在细胞膜内外表面的蛋白质6、真核细胞的核膜上有核孔，脱氧核糖核酸等大分子物质可以通过核孔进入细胞质7、溶酶体可以合成、分泌多种酸性水解酶并能消化细胞器碎片8、人体细胞有氧呼吸产生二氧化碳的场所是细胞质基质和线粒体9、细胞内衰老和损伤的细胞器最终由高尔基体形成的溶酶体清除10、溶酶体内的水解酶是由附着在内质网上的核糖体合成的11、若某细胞同时内质网和中心体，则该细胞一定是动物细胞12、若某细胞没有叶绿体但能进行光合作用，则该细胞一定是原核细胞13、通过质壁分离和复原实验可以鉴定的是：细胞死活、原生质层的伸缩性大于细胞壁的伸缩性、一个成熟的植物细胞相当于一个渗透系统。

14、载体蛋白在物质转运过程中空间结构发生改变15、酶都是在核糖体上以氨基酸位原料合成的16、酶的基本组成单位是氨基酸或核糖核苷酸17、有叶绿体的细胞可以通过光合作用合成ATP，不需要细胞呼吸提供能量18、细胞呼吸中有机物的分解必须有水和氧气的参与才能释放能量19、当对植物突然停止光照以后，暗反应也马上停止20、有丝分裂中期，发生联会的同源染色体排列在赤道板上21、癌细胞不能进行正常的分化，机体清除癌细胞与细胞凋亡有关。

22、不同种类的细胞的细胞周期持续时间不同，同种细胞的细胞周期相同23、细胞的体积生长使物质交换效率增强24、细胞癌变是多个基因发生突变的结果25、原癌基因主要功能是阻止细胞发生异常增殖26、癌变前后，细胞的形态和结构有明显差别27、成熟的红细胞衰老后控制其凋亡的基因开始表达28、成熟的红细胞在细胞呼吸过程中不产生二氧化碳29、血浆渗透压的大小取决于血浆中无机盐和蛋白质的含量30、内环境是机体进行正常生命活动和细胞代谢的场所31、当内环境的稳态遭到破坏时，必将引起细胞代谢紊乱32、抗利尿激素分泌增多的刺激是细胞外液渗透压降低33、人在寒冷的环境中，甲状腺激素分泌增强，肾上腺素分泌也加强34、神经递质主动运输穿过突触前膜进入突触间隙35、人对花粉或某些药物产生的过敏反应时先天性免疫缺乏病36、体液免疫中，浆细胞与被感染色细胞接触使其裂解死亡37、激素和抗体都具有特异性，只能作用于特定的靶细胞38、激素弥散在全身的体液中，一经靶细胞接受即被灭活。

专题02 2022高考新题型——语病修改试题解析宝鉴专训（1）时间：40分钟分值：45分得分：阅读下面的文字，完成下题。

当埃博拉疫情肆虐西非，坚守到底的中国医疗队，彰显出中国人民同非洲人民患难与共的决心；当亚丁湾海域海盗出没，中国海军护航编队挺身而出，10年护航让“最危险海域”重新成为“黄金航道”……一次次挺身而出，见证中国人民对世界人民的大爱。

近代以来，饱经风雨沧桑的中国人民支持并尊重各国人民追求幸福生活的权力，同时也对生活满怀美好渴望。

中国兼济天下的人类情怀，体现在对世界和平发展的责任担当上。

1．文中画横线的句子有语病，请进行修改，使语言表达准确流畅。

可少量增删词语，不得改变原意。

（3分）答案：【答案】饱经风雨沧桑的中国人民对美好生活满怀渴望，同时也尊重并支持各国人民追求幸福生活的权利。

【解析】①分句语序不当。

先表明自己的追求，再表明对待他人的态度。

②定中搭配不当。

“美好”应作定语来修饰“生活”。

③并列短语的语序不当。

先“尊重”再“支持”。

④动宾搭配不当。

“权力”改为“权利”，“权利”比“权力”更多包含了利益在内。

阅读下面的文字，完成下题。

一部史诗级战争大片，事件的铺陈与宏观的视角缺一不可。

电影《长津湖》虽聚焦于“长津湖战役”这一具体战役，却是将其置于整个朝鲜战争的大背景下来呈现。

气氛凝重肃然的中南海，深宵灯火不眠的毛主席，彭德怀司令员匆匆赶来晤面，无一凸显着所面临的新中国“参战还是不参战”这一生死抉择的的重要性与严峻性。

2．文中画横线的句子有语病，请进行修改，使语言表达准确流畅。

可少量增删词语，不得改变原意。

（3分）答案：【答案】气氛凝重肃然的中南海，深宵灯火不眠的毛主席，匆匆赶来晤面的彭德怀司令员，无一不凸显着新中国所面临的“参战还是不参战”这一生死抉择的重要性与严峻性。

【解析】①定中语序不当。

因为前两个短句都是偏正结构，所以“彭德怀司令员匆匆赶来晤面”的主谓结构改为“匆匆赶来晤面的彭德怀司令员”的偏正结构。

2019年高考英语二轮复习【短文改错题解题指导及训练】高考英语短文改错技巧第一步必须熟悉设错方式1. 必须熟悉设错方式：多词、少词、错词。

⑴多词现象大多出现在冠词、介词、助动词、连词、语义重复及行文逻辑等方面。

⑵少词现象主要出现在冠词、介词、副词、助动词、不定式符号to、连词等。

⑶错词现象主要在冠词、介词、名词单复数、动词时态、非谓语动词、主谓一致、代词、连词、词形。

2. 平时应加强基本功训练，用一个“错题集”本把自己或同学在书面表达中出现的错误归纳一下，以便考前复习。

第一步加强基本功训练短文改错与书面表达一样，最能反映一个人的语言功底。

大家在该题上失分最厉害，因为此题而影响英语总成绩的占大多数。

第二步对全文宏观把握大家应把改错内容当作一篇小短文来理解，这样能对短文有个宏观把握，对上下文有全面的了解。

在理解篇章的基础上逐句审读，分析判断，上下兼顾，把明显的、拿的准的题先做完，这样可以缩小包围圈，也有助于对全文的进一步理解。

第三步从语法角度审查1. 查看时态是否一致。

My favorite sport is football. I was a member of our football team. 全文都是用的一般现在时，此句中的was显然与上下文语境不符，应改为am。

2. 查看主谓是否一致。

Anyone may borrow books, and it cost nothing to borrow them. cost应改为costs，因其主语是it(为形式主语)，且上下文均为一般现在时。

3. 查指代是否一致。

The Smiths did his best to make me feel at home.句中的主语the Smiths表的是Smith一家人，因此指示代词his应改为their。

4. 查平行结构是否平行一致。

由and, or, but, either...or..., neither...nor..., not only...but also..., as well as 等并列连词和词组连接的结构可称为平行结构。

中考物理二轮复习易错题型训练—物态变化（含解析）一．选择题（共12小题）1．关于物态变化说法正确的是（）。

A．春季受到暖湿气流的影响，家中的地板很潮湿，连天花板都挂满了水珠，这是液化现象B．冰箱冷藏室利用冷凝管内制冷剂熔化吸热来制冷的C．瓶装液化气主要是通过降温的方式液化的D．天气寒冷的冬天，树枝上都出现了“雾凇”的美景是凝固现象【解析】A、夏天，暖湿气流中的水蒸气遇到温度较低的地板、天花板放出热量液化成小水滴，所以家中的地板很潮湿，甚至连天花板都挂满了水珠，故A 正确；B、电冰箱工作时，冷凝器里的液态制冷剂在冰箱冷藏室内的管子里迅速汽化，从冰箱内吸收热量，使冰箱内部的温度降低，故B错误；C、瓶装液化气主要是通过压缩体积的方式液化的，故C错误；D、天气寒冷的冬天，空气中的水蒸气会放出热量直接凝华成小冰晶附着在树枝上形成“雾凇”，故D错误。

故选：A。

2．很多俗语都是先辈们生活经验的总结，其中蕴含了深刻的物理知识，下列相关说法中错误的是（）A．霜前冷，雪后寒﹣﹣霜和雪都是由空气中的小水珠凝固而成的小冰晶B．雪落高山，霜降平原﹣﹣高山气温低，雪降落到地面不容易熔化所以经常看到雪C．水缸出汗，不用挑担﹣﹣水缸外表面的水是空气中水蒸气遇到冷的缸壁液化而来的D．扇子有凉风，宜夏不宜冬﹣﹣夏天扇扇子加快体表汗液蒸发，蒸发吸热制冷让人感觉凉爽【解析】A、霜和雪都是空气中的水蒸气遇冷凝华形成的固态小冰晶，故A错误；B、雪的熔点是0℃，高山气温低，达不到雪的熔点，所以雪降落到高山地面不容易熔化所以经常看到雪，故B正确；C、“水缸出汗，不用挑担”中，“汗”是空气中的水蒸气运动温度较低的水缸液化形成的小水珠，故C正确；D、夏天扇扇子，身上感到凉爽，这是因为扇来的风加快了身上汗液的蒸发，蒸发吸热制冷让人感觉凉爽，故D正确。

故选：A。

3．周末，小华在家中烧开水煮饺子。

当水烧开准备下饺子时，妈妈提醒她锅里的水量太少了，于是，小华又往锅里迅速加了一大碗冷水（水量比锅里的少）。

高三英语二轮复习-第1部分-专题5-短文改错-训练4-短文改错(Ⅳ)训练4 短文改错(Ⅳ)A(2016·太原二模)My flat is on the fifth floor of a high －rise building where is opposite a busy road.During the day we can hear the traffic passed outside, which can be quite disturbing.Fortunately, there was a park just outside our building, so we have a pleasant view of grass and trees from our living room with two window.I often walk away through the park to get to the bus stop on the other's side.I go to work by bus every day.Wait for the bus takes me some time.The town centre is quite near to my flat, so it's convenience for both shopping and entertainment.It's really a good place to live.Warmly welcome to your neighbourhood.【答案】My flat is on the fifth floor of a high－rise buildingwherewhich/thatis opposite abusy road.During the day we can hear thetraffic passedpassingoutside, which can be quitedisturbing.Fortunately, there wasisa parkjust outside our building, so we have a pleasant view of grass and trees from ourliving room with twowindowwindows.I often walk﹨away through the park to get to the bus stopon the other′sotherside. I go to work by busevery day.WaitWaitingfor the bus takes me sometime.The own centre is quite near to my flat,so it's convenienceconvenientfor both shopping andentertainment.It's really a good place tolive∧in．Warmly welcome toyourour/myneighbourhood.B(2016·石家庄质检)I've learnt from the notice that you're looking for an English editor for us school paper.I'm written this letter to apply for the position.I'm Li Hua, Senior Three student in our school.In my view, I met your requirements: for one thing, I'm willing to devote some of my spare time to serve others; for another, I'm good at both English or Fine Arts.I'm either skilled in using computers.I would beglad if you could offer to me an opportunityfor an interview.I'm looking forward to your kindly replyat your earliest convenient.【答案】I've learnt from the notice that you'relooking for an English editor for us ourschool paper.I'm written writingthis letter to apply for the position.I'm Li Hua ，∧a Senior Three student in ourschool.In my view, I met meet yourrequirements: for one thing, I'm willing todevote some of my spare time to serve servingothers; for another, I'm good at bothEnglish orandFine Arts. I'meitheralsoskilledin using computers.I would be glad if you could offer ﹨t o me an opportunity for an interview.I'm looking forward to your kindly kindreply at your earliestconvenient convenience.【导学号：90892097】C(2016·湖北七市联考)Dear Jane，How's everything going? I'm glad to have met you and become friend with you.I miss you very well and thus I'm writing to tell you anything about my new life at college.My new school is so beautiful as a huge garden.There are green grass and colorfulflowers everywhere.My teachers are all kind and I believe, with time go by, I'll make a great progress.My classmates are very friendly and I made many new friends here.I feel that my new life is very excited, but I also realize that it is full of challenges.I've decided to work hard so that I'll have a brightly future.Of course, I'll also do more exercise to keep fit.I'm looking forward to your reply.Yours sincerely，Tom 【答案】Dear Jane，How's everything going? I'm glad to havemet you and becomefriendfriendswith you.I missyou very wellmuchand thus I'm writing to tellyou anythingsomethingabout my new life at college.My new school is soasbeautiful as a hugegarden.There areisgreen grass and colorfulflowers everywhere.My teachers are all kindand I believe, with timegogoingby, I'llmake ﹨a great progress.My classmates arevery friendly and I∧have made many newfriends here.I feel that my new life is veryexcitedexciting， but also realize that it is full of challenges.I've decided to work hard sothat I'll have a brightlybrightfuture.Of course,I'll also do more exercise to keep fit.I'm looking forward to your reply.Yours sincerely，TomD(2016·成都二模)Last Friday, I was standing near a subway exit, tried to call a taxi.But no luck.Then I thought of the taxi－booking app my friend has recommended and I booked a taxi through my cellphone.Soon it came, and I stepped in, feeling pretty proudly of my high－tech way and satisfied with the convenience brought by the app.So later, I was upset to find that the driver was busy looking his cellphone to get the next order.It was just then when I began to worry about my safety. What's bad, the driver's informations might be unreliable. How can wepassengers' legal rights be protecting if something bad happens? So be careful when you use the taxi－booking app the next time.【答案】Last Friday, I was standing near asubway exit, triedtryingto call a taxi.But noluck.Then I thought of the taxi－booking appmy friend hashadrecommended and I booked ataxi through my cellphone.Soon it came, andI stepped in, feeling pretty proudlyproudof myhigh－tech way and satisfied with theconvenience brought by the app.So But/Yetlater, I was upset to find that the driverwas busy looking∧at his cellphone to get thenext order.It was just then whenthatI began toworry about my safety.What'sbadworse， thedriver's informationsinformationmight beunreliable.How can we passengers' legalrights be protectingprotectedif something badhappens? So be careful when you use the taxi －booking app ﹨the next time.E(2016·柳州模拟)How can we help children in poor areas complete his basic education? Since their lack of education mainly result from low family income, to collect money for them is of greatly importance.With enough money, they will finish their education very easilythan before.Besides, good teachers are also needed improve the teaching in such areas.They can teach there but help train the local teachers.What's more, we can organize various event to increase these children's interest at learning.We can also guide them to realize the importance of education to their future.After of all, their willingness to learn is the key to continue their school education.【答案】How can we help children in poor areascompletehistheirbasic education? Sincetheir lack of education mainlyresult resultsfromlow family income, to collect money for themis of greatlygreatimportance.With enough money,they will finish their education very moreeasily than before.Besides, good teachersare also needed∧to improve the teaching insuch areas.They can teach therebutand/orhelptrain the local teachers.What's more, we canorganize various eventeventsto increase thesechildren's interest atinlearning.We canalso guide them to realize∧the importanceof education to their future.After ﹨o f all，their willingness to learn is the key tocontinuecontinuingtheir school education.F(2016·昆明质检)The mobile phone is important for themost of us now.However, there were some people out there who use their mobile phones impolitely.Some people talk loudlyin the phone in public places like restaurants, buses and lifts.Is it necessary for them do so? Besides, some people choose loud and annoyed music as their ringtones.It sounds very noisy but unpleasant, especially in the cinema.Others make a phone call while you are in conversation with him, which, I think, is real rude.I'd like to remind the mobile phone user: Please care about other people's feelings when used a phone.Try not to disturb the people around you.【答案】the The mobile phone is important for ＼most of us now.However, there werearesomepeople out there who use their mobile phonesimpolitely.Some people talk loudlyin on/overthe phone in public places like restaurants,buses and lifts.Is it necessary for them∧todo so? Besides, some people choose loud andannoyedannoyingmusic as their ringtones.It soundsvery noisy butandunpleasant, especially inthe cinema.Others make a phone call whileyou are in conversation withhimthem， which,I think, isrealreallyrude.I'd like to remindthe mobile phoneuserusers: Please care aboutother people's feelings whenused usingaphone.Try not to disturb the people around you.【导学号：90892098】。

专题突破练1 常考小题点过关检测一、单项选择题1.(2021·山东潍坊一模)已知集合A={-2,0},B={x|x 2-2x=0},则下列结论正确的是( ) A.A=B B.A ∩B={0} C.A ∪B=A D.A ⊆B2.(2021·广东广州二模)已知集合P={x|-3≤x ≤1},Q={y|y=x 2+2x },则P ∪(∁R Q )=( )A.[-3,-1)B.[-1,1]C.(-∞,-1]D.(-∞,1]3.(2021·河北保定一模)设a ,b ∈R ,则“|a+b i |=|1+i |”是“a=b=1”的( ) A.充分不必要条件 B.必要不充分条件 C.充要条件D.既不充分也不必要条件4.(2021·福建福州一中模拟)在复平面内,复数z=a+b i(a ∈R ,b ∈R )对应向量OZ⃗⃗⃗⃗⃗ (O 为坐标原点),设|OZ⃗⃗⃗⃗⃗ |=r ,以x 轴的非负半轴为始边,射线OZ 为终边的角为θ,则z=r (cos θ+isin θ).法国数学家棣莫弗发现棣莫弗定理:z n =[r (cos θ+isin θ)]n =r n (cos n θ+isin n θ),则(-1+√3i)10=( ) A.1 024-104√3i B.-1 024+1 024√3i C.512-512√3iD.-512+512√3i5.(2021·东北三校第一次联考)土楼有圆形、方形、五角形、八角形、日字形、回字形、吊脚楼等类型.某大学建筑系学生对这七种主要类型的土楼依次进行调查研究.在制定调查顺序时,要求将圆形排在第一个或最后一个,方形、五角形相邻,则共有( )种不同的排法. A.480B.240C.384D.1 4406.(2021·河北唐山一模)记(x +12x)4展开式的偶数项之和为P ,则P 的最小值为( )A.1B.2C.3D.47.(2021·江苏南京三模)在正方形ABCD 中,O 为两条对角线的交点,E 为BC 边上的动点.若AE ⃗⃗⃗⃗⃗ =λAC ⃗⃗⃗⃗⃗ +μDO ⃗⃗⃗⃗⃗⃗ (λ>0,μ>0),则2λ+1μ的最小值为( ) A.2B.5C.92D.1438.(2021·山东日照一中月考)已知f (x )=x 2+4x+1+a ,且对任意x ∈R ,f (f (x ))≥0恒成立,则实数a 的取值范围为( ) A.[√5-12,+∞) B.[2,+∞) C.[-1,+∞)D.[3,+∞)二、多项选择题9.(2021·河北张家口一模)如果平面向量a =(2,-4),b =(-6,12),那么下列结论正确的是( ) A.|b |=3|a |B.a ∥bC.a 与b 的夹角为30°D.a ·b =-6010.(2021·河北唐山二模)已知a>b>0,且ab=4,则 ( )A.2a-b >1B.log 2a-log 2b>1C.2a +2b >8D.log 2a ·log 2b<111.(2021·山东临沂模拟)在下列四个条件中,能成为x>y 的充分不必要条件的是( ) A.xc 2>yc 2 B.1x<1y<0 C.|x|>|y| D.ln x>ln y12.(2021·广东茂名模拟)传说古希腊数学家阿基米德的墓碑上刻着一个圆柱,圆柱内有一个内切球,这个球的直径恰好与圆柱的高相等.这是因为阿基米德认为这个“圆柱容球”是他最为得意的发现,于是留下遗言:他死后,墓碑上要刻上一个“圆柱容球”的几何图形.如图,设圆柱的体积与球的体积之比为m ,圆柱的表面积与球的表面积之比为n ,若f (x )=(mn x 3-1x )8,则( ) A.f (x )的展开式中的常数项是56 B.f (x )的展开式中的各项系数之和为0 C.f (x )的展开式中的二项式系数最大值是70 D.f (i)=-16,其中i 为虚数单位三、填空题13.(2021·福建厦门双十中学月考)设复数z 满足z=4i 1+i,则z 的共轭复数z 在复平面内对应的点位于第象限.14.(2021·上海嘉定二模)将(x √x)7的二项展开式的各项重新随机排列,则有理项互不相邻的概率为 .15.(2021·浙江嘉兴二模)为满足某度假区游客绿色出行需求,某电力公司在该度假区停车楼建设了集中式智慧有序充电站,充电站共建设901个充电桩,其中包括861个新型交流有序充电桩、37个直流充电桩以及3个专门满足新能源大巴快速补电需求的大功率直流充电桩.现有A ,B ,C ,D ,E ,F 六辆新能源大巴,需要安排在某周一的上午或下午在甲、乙、丙3个新能源大巴大功率直流充电桩充电,每个充电桩在上午和下午均只安排一辆大巴充电.若要求A ,B 两大巴不能同时在上午充电,而C 大巴只能在下午充电,且F 大巴不能在甲充电桩充电,则不同的充电方案一共有 种.(用数字作答) 16.(2021·辽宁葫芦岛一模)在边长为2的正三角形ABC 中,D 是BC 边的中点,AE ⃗⃗⃗⃗⃗ =2EB⃗⃗⃗⃗⃗ ,CE 交AD 于点F.若BF ⃗⃗⃗⃗⃗ =x BC ⃗⃗⃗⃗⃗ +y BA ⃗⃗⃗⃗⃗ ,则x+y= ;BF ⃗⃗⃗⃗⃗ ·DE ⃗⃗⃗⃗⃗ = .专题突破练1 常考小题点过关检测1.B 解析: 由题设得B={0,2},所以A ≠B ,A ∩B={0},A ∪B ≠A ,A 不是B 的子集.2.D 解析: 因为Q={y|y=x 2+2x }={y|y=(x+1)2-1}={y|y ≥-1},所以∁R Q={y|y<-1}, 又P={x|-3≤x ≤1},所以P ∪(∁R Q )={x|x ≤1}.3.B 解析: ∵|a+b i |=|1+i |,∴√a 2+b 2=√12+12,即a 2+b 2=2. ∵a 2+b 2=2a=b=1,而a=b=1⇒a 2+b 2=2,∴“a 2+b 2=2”是“a=b=1”的必要不充分条件,即“|a+b i |=|1+i |”是“a=b=1”的必要不充分条件.4.D 解析: 由题意,得(-1+√3i)10=210cos (10×2π3)+isin 10×2π3=1 024cos 20π3+isin 20π3=1 024(-12+√32i)=-512+512√3i .5.A 解析: 当圆形排在第一个时,有A 55A 22=240种不同的排法.同理,当圆形排在最后一个时,有A 55A 22=240种不同的排法.综上,圆形要排在第一个或最后一个,方形、五角形相邻,则共有480种不同的排法.6.B 解析: 由已知得x ≠0,则x 2>0,所以P=C 41x 3·12x+C 43x·(12x )3=2x 2+12x 2≥2√1=2,当且仅当2x 2=12x 2即x=±√22时等号成立. 7.C 解析: 如图所示,以A 为原点,AB ,AD 所在直线分别为x 轴、y 轴建立平面直角坐标系. 设正方形的边长为1,则A (0,0),B (1,0),C (1,1),D (0,1),于是可得O (12,12).设点E 的坐标为(1,m )(0≤m ≤1),则由AE ⃗⃗⃗⃗⃗ =λAC ⃗⃗⃗⃗⃗ +μDO⃗⃗⃗⃗⃗⃗ (λ>0,μ>0),可得(1,m )=λ(1,1)+μ(12,-12)(λ>0,μ>0),所以1=λ+12μ(λ>0,μ>0),则2λ+1μ=(2λ+1μ)(λ+12μ)=2+12+μλ+λμ≥52+2√μλ·λμ=92,当且仅当{ λμ=μλ,1=λ+12μ,λ>0,μ>0,即λ=μ=23时取等号,此时2λ+1μ的最小值为92.经检验,此时m=13∈[0,1]符合题意.8.B解析: 由题意,函数f(x)=x2+4x+1+a,令t=f(x),则t=x2+4x+1+a=(x+2)2-3+a≥a-3,又对任意x∈R,f(f(x))≥0恒成立,即f(t)≥0对任意t≥a-3恒成立,当a-3≤-2时,即a≤1时,f(t)min=f(-2)=a-3≥0,解得a≥3,此时无解;当a-3>-2时,即a>1时,f(t)min=f(a-3)=a2-a-2≥0,解得a≥2或a≤-1,所以a≥2.综上可得,实数a的取值范围为[2,+∞).9.ABD解析: 因为a=(2,-4),b=(-6,12),所以b=-3a.所以|b|=3|a|,a∥b,a与b的夹角为180°,a·b=2×(-6)+(-4)×12=-60,故选项A,B,D正确,选项C错误.10.ACD解析: 因为a>b>0,且ab=4,对A,a-b>0,所以2a-b>20=1,故A正确;对B,取a=83,b=32,则log2a-log2b=log2ab=log2169<log22=1,故B错误;对C,2a+2b≥2√2a·2b=2√2a+b,当且仅当a=b时取等号,又因为a+b≥2√ab=4,当且仅当a=b=2时取等号,所以2a+2b≥2√2a+b≥2√24=8,当且仅当a=b=2时取等号,因为a>b>0,所以不能取等号,故C正确;对D,当a>1>b>0时,log2a>0,log2b<0,所以log2a·log2b<1;当a>b>1时,log2a>0,log2b>0,所以log2a·log2b≤(log2a+log2b)24=[log2(ab)]24=1,当且仅当a=b时取等号,因为a>b>0,所以不能取等号,故D正确.11.ABD解析: 对于A选项:若xc2>yc2,则c2≠0,于是x>y,而当x>y,c=0时xc2=yc2,所以“xc2>yc2”是“x>y”的充分不必要条件,故A符合题意;对于B选项:由1x<1y<0可得y<x<0,即能推出x>y;但x>y不能推出1x<1y<0(因为x,y的正负不确定),所以“1x<1y<0”是“x>y”的充分不必要条件,故B符合题意;对于C选项:由|x|>|y|可得x2>y2,则(x+y)(x-y)>0,不能推出x>y;由x>y也不能推出|x|>|y|(如x=1,y=-2),所以“|x|>|y|”是“x>y”的既不充分也不必要条件,故C不符合题意; 对于D选项:若ln x>ln y,则x>y,而由x>y不能推出ln x>ln y,所以“ln x>ln y”是“x>y”的充分不必要条件.故选项D符合题意.12.BC解析: 设内切球的半径为r(r>0),则圆柱的高为2r.于是m=πr2·2r43πr3=32,n=2πr2+2πr·2r4πr2=32,所以mn=1,所以f(x)=(x3-1x)8.对于A,f(x)展开式通项为T r+1=C8r x24-3r·(-1x )r=(-1)r C8r x24-4r,令24-4r=0,解得r=6,所以f(x)展开式中的常数项为(-1)6C86=28,A错误;对于B,f(1)=0,即f(x)展开式的各项系数之和为0,B正确; 对于C,f(x)展开式中二项式系数最大值为C84=70,C正确;对于D,f (i)=(i 3-1i )8=(-i +i)8=0,D 错误. 13.四 解析: 因为z=4i1+i =4i (1-i )(1+i )(1-i )=4i (1-i )2=2i(1-i)=2i -2i 2=2+2i,所以z =2-2i,所以共轭复数z 在复平面内对应的点位于第四象限.14.114解析: (x +1√x )7的展开式的通项为T r+1=C 7r x 7-r ·x -12r =C 7r x 7-32r ,当r=0,2,4,6时,对应的项为有理项,一共4项,当r=1,3,5,7时,对应的项为无理项,一共4项,要使得有理项互不相邻,采用插空法,先把无理项排好,再把有理项插到无理项的5个空档中,共有A 44A 54=2 880种情况,全部的情况有A 88=40 320种,故所求概率P=A 44A 54A 88=2 88040 320=114.15.168 解析: 先排F 大巴,第一种方案,F 大巴在上午充电,有C 21种可能情况,此时再排C大巴,C 大巴在下午充电,有C 31种可能情况,再排A ,B 大巴,又分A ,B 大巴同在下午和一个上午、一个下午两种情况,有(A 22+C 21C 21C 21)种可能情况;第二种方案,F 大巴在下午充电,有C 21种可能情况,此时再排C 大巴,C 大巴在下午充电,有C 21种可能情况,再排A ,B 大巴,只能一个上午、一个下午,有C 21C 31种可能情况.最后再排剩下的两辆大巴,有A 22种可能情况,故共有[C 21C 31(A 22+C 21C 21C 21)+C 21C 21C 21C 31]A 22=168种不同的充电方案. 16.35 -715解析: 如图,过点E 作EM ∥AD 交BC 于点M ,由AE ⃗⃗⃗⃗⃗ =2EB ⃗⃗⃗⃗⃗ ,得EM=13AD ,BM=13BD ,MD=23BD ,又D 是BC 边的中点,得DC=35MC ,∴FD=35EM ,故FD=15AD ,即AF=45AD ,所以AF ⃗⃗⃗⃗⃗ =45AD ⃗⃗⃗⃗⃗ =45(BD ⃗⃗⃗⃗⃗⃗ −BA ⃗⃗⃗⃗⃗ )=45(12BC ⃗⃗⃗⃗⃗ -BA ⃗⃗⃗⃗⃗ )=25BC ⃗⃗⃗⃗⃗ −45BA ⃗⃗⃗⃗⃗ ,所以BF ⃗⃗⃗⃗⃗ =BA ⃗⃗⃗⃗⃗ +AF ⃗⃗⃗⃗⃗ =15BA ⃗⃗⃗⃗⃗ +25BC ⃗⃗⃗⃗⃗ ,故x+y=35.易知DE ⃗⃗⃗⃗⃗ =BE ⃗⃗⃗⃗⃗ −BD ⃗⃗⃗⃗⃗⃗ =13BA ⃗⃗⃗⃗⃗ −12BC ⃗⃗⃗⃗⃗ , 由已知得BA=BC=2,<BC ⃗⃗⃗⃗⃗ ,BA ⃗⃗⃗⃗⃗ >=60°,所以|BA ⃗⃗⃗⃗⃗ |=|BC ⃗⃗⃗⃗⃗ |=2,BA ⃗⃗⃗⃗⃗ ·BC⃗⃗⃗⃗⃗ =2×2×cos 60°=2.所以BF ⃗⃗⃗⃗⃗ ·DE ⃗⃗⃗⃗⃗ =(15BA ⃗⃗⃗⃗⃗ +25BC ⃗⃗⃗⃗⃗ )·(13BA ⃗⃗⃗⃗⃗ -12BC ⃗⃗⃗⃗⃗ )=115BA ⃗⃗⃗⃗⃗ 2−15BC ⃗⃗⃗⃗⃗ 2+130BA ⃗⃗⃗⃗⃗ ·BC⃗⃗⃗⃗⃗ =115×4-15×4+130×2=-715.。

江苏省苏州市2020年中考英语二轮复习专项训练（一）任务型阅读（1）请认真阅读下面短文,用英语回答短文后的问题,并将答案写在答题卡标有题号的横线上。

Parents are the closest people to you in the world. They love you just because you are you. A nd they would do anything for you. Most of the time, parents and their children can get on well with each other, but sometimes they don’t. Here is a child named Zhang Hua. Like a lot of middle school students, Zhuang Shuxia has a problem. She and her parents don’t get on well."I really want to be my Daddy’s little girl. But it feels like he just doesn’t understand. He talk s at me and doesn’t listen." said Zhuang, a Grade 9 student in Hangzhou.Do you and your parents also have problems？Well, why don’t you all take a walk and have a talk on Monday？It’s the International Day o f Families. On May 15, people around the world give thanks for good things about their families a nd work on family problems. A study last year showed that 1,500 Beijing families had the same pr obleme as Zhuang’s family: The children, 12 to 15 years old, didn’t like talking with their parents much.They weren’t happy at home.Of course, lots of kids feel that way. But you and your parents will be much happier if you can be friends.Here are some ways to have a good talk with them:★Find a good time to talk, like when you’re eating dinner, going out for a walk or watching T V.★ Tell them something you’re interested in, or ask them about their lives when they were youn g. They love to talk about it.★ Listen to them carefully, and look them in the eye.★ Be honest. Your parents will trust you more. And a trusting family is a happy family.If you can do these above, you can get on well with your parents. Do you think so?53. How many tips are mentioned in the article?__________________解析：Four，细节题54. What is Zhang Hua's problem ?__________________解析：文章大意理解题She doesn’t get on well with her parents.55. Is not telling your parents anything you’re interested in right? Why or why not?__________________解析：主旨题No. Because my parents can give me some useful suggestions.（2）请认真阅读下面短文，用英语回答短文后的问题，并将答案写在答题卡标有题号的横线上。

中考物理二轮复习易错题型训练—质量与密度（含解析）一．选择题（共12小题）1．小冯在使用天平测量质量的时候，在将游码归零之前就进行了天平水平平衡的调节，之后他将物体放在右盘，将砝码放置在左盘，在加减砝码和调节游码以后。

天平再次水平平衡。

此时左盘砝码和游码位置如图所示，则待测物体的质量可能为（）A．69g B．64g C．60g D．54g【解析】物体和砝码的放置位置颠倒了，不能按以往的方法计算物体的质量。

设物体质量为：m。

若最初游码在0刻度线，根据“左盘中的质量＝右盘中的质量+游码对应的刻度值”可得：50g+10g＝m+4g，解得：m＝56g。

若游码未调0，游码初始位置可能在0﹣5克（不包括两端），所以这样测量可能值在56g﹣61g之间。

故选：C。

2．由同种材料制成的甲、乙两个金属球，其中只有一个是空心的，它们的质量分别为128g、72g，体积分别为16cm3、12cm3，则下列说法正确的是（）A．甲是空心球，乙是实心球B．实心球的密度是6g/cm3C．空心球的密度是8g/cm3D．空心球的空心部分体积为3cm3【解析】（1）甲、乙两金属球的密度分别为：ρ甲＝＝＝8g/cm3，ρ乙＝＝＝6g/cm3，因同种材料制成的甲、乙两金属球，实心金属球的密度大于空心金属球的密度，所以，甲球是实心的，乙球是空心的，且金属的密度ρ＝ρ甲＝8g/cm3，故ABC 错误；（2）由ρ＝可得，乙球金属的体积：V金＝＝＝9cm3，空心球空心部分的体积：V空＝V乙﹣V金＝12cm3﹣9cm3＝3cm3，故D正确。

故选：D。

3．如图所示，桌面上放有三个相同的玻璃杯，分别装有质量相同的三种液体甲、乙、丙，它们的质量与体积的关系如图所示，三个杯子从左至右依次装的液体种类是（）A．乙、丙、甲B．甲、丙、乙C．甲、乙、丙D．丙、乙、甲【解析】如图，取相同体积的三种液体V，可得质量关系m甲＞m乙＞m丙，由ρ＝可知ρ甲＞ρ乙＞ρ丙；在图1中，三种液体的质量相同，而ρ甲＞ρ乙＞ρ丙，由V ＝可知V 甲＜V 乙＜V 丙，所以左边烧杯的液体为乙，中间为丙，右边为甲，三个杯子从左至右依次装的液体种类：乙、丙、甲。

中考物理二轮复习易错题型训练—声现象（含解析）一．选择题（共12小题）1．如图所示，甲实验，用竖直悬挂的泡沫塑料球接触正在发声的音叉时，泡沫塑料球被弹起；乙实验，敲击右边的音叉，左边完全相同的音叉会把泡沫塑料球弹起。

若在月球上（认为真空环境）分别做甲、乙两个实验，下列说法和解释正确的是（）A．甲、乙实验都不能看到泡沫塑料球被弹起B．甲实验能看到泡沫塑料球被弹起，乙实验不能看到泡沫塑料球被弹起C．乙实验右边音叉敲击后，左边完全相同的音叉能发出声音D．能听到甲实验中音叉发出的声音【解析】如图甲所示，用竖直悬挂的泡沫塑料球接触发声的音叉时，泡沫塑料球被弹起，这个现象说明音叉在振动；如图乙所示，敲击右边的音叉，左边完全相同的音叉把泡沫塑料球弹起，这个现象表明声音可以传播能量；由于月球上没有空气，如果在月球上做这个实验，图甲中，音叉振动，能看到甲球能弹起，但听不到音叉发出的声音；由于真空不能传声，所以图乙中左边完全相同的音叉不能发出声音，泡沫塑料不能弹起，故ACD错误，B正确。

故选：B。

2．下列实验中，不是验证声音产生条件的是（）A．说话时，把手指放在喉咙处B．弹拨吉他的弦后，立即把手轻轻放在吉他上C．敲击音叉，将正在发声的音叉触及面颊D．将正在发声的闹钟放入玻璃罩中，并用抽气机逐渐抽出罩内空气【解析】A、说话时，把手指放在喉结处，会感觉到声带的振动，说明振动产生声音，故A不符合题意；B、拨动吉他的琴弦发出声音时，立即把手轻轻放在吉他上，可以感觉琴弦在振动，故B不符合题意；C、将发声的音叉触及面颊，感知发声体的音叉在振动，故C不符合题意；D、逐渐抽出罩内的空气，闹钟的声音会逐渐变小，若把罩内的空气全部抽出则听不到声音，说明声音在真空中不能传播，是验证声音传播条件的，故D 符合题意。

故选：D。

3．琴声悠扬，歌声嘹亮…我们世界充满声音。

下列说法正确的是（）A．用手拨动琴弦发声，是因为琴弦在振动B．高声唱国歌，其中“高”指的是音调高C．“闻其声而识其人”，是根据响度来辨别的D．太空中的宇航员相互交谈，是通过真空传播声音【解析】A、声音是由物体振动产生的，琴弦发声靠的是琴弦的振动，故A正确；B、高声唱国歌，其中“高”指的是声音的响度大，故B错误；C、“闻其声而识其人”是根据声音的音色来辨别的，故C错误；D、声音的传播需要介质，真空不能传声，太空中的宇航员是通过无线电进行相互交谈的，故D错误。