1复习

翻译练习1：1：Eager to trust but determined to verify, many single women in an age of risky romance are hiring private detectives to check the background of their suitors. 【译文】在这个爱情不太可靠（爱情保险系数并非很高）的年代，许多单身女子想要相信她们的求婚者，但又想看看对方是否靠得住，于是就雇用私人侦探去查清对方的身世背景.2：China has roughly 380 million women between the ages of 15 and 55, and few of them---particularly in the big cities---want to look any less than the best their budgets allow.2【译文】中国15至55岁的女性大约有3.8亿。

只要经济条件允许，几乎人人都想尽可能地把自己打扮得光鲜靓丽，在大城市更是如此。

3.And I take heart from the fact that the enemy, which boasts that it can occupy the strategic point in a couple of hours, has not yet been able to take even the outlying regions, because of the stiff resistance that gets in the way.3. 【译文】敌人吹嘘能在几小时内就占领战略要地，但由于遭到顽强抵抗，他们甚至还没能占领外围地带。

这一事实让我有了信心。

4. Since natural water contains dissolved oxygen, fishes, which also need oxygen though they live in water, will die if hot days persist so long that the dissolved oxygen is evaporated.4. 【译文】鱼类虽然水栖，但也需要氧气，而天然水是含有溶解氧的，因此如果天热得过久使水中的溶解氧蒸发掉了，鱼就要死亡。

大学英语（1）复习资料I. V ocabulary (词汇：选择一个合适的词语并以适当形式填入相应的句子中，每个词只能使用一次)1. Many educators are giving up traditional methods of teaching in favor of more modern ________ .2. Both of Mr. Black‟s sons ________ their studies abroad now, once in France and the other in China.3. The people of Africa have successfully fought against _________ rule.4. Shall I just order beer, or is there some ________ drink you prefer?5. Our company _______ a close working relationship with a similar firm in France.6. A man of humble _______ , Lincoln eventually became President of the United States through his own efforts.7. He was burning with ________ to know what was happening.8. If you‟re looking for somewhere to rent, I think there is a _______ apartment in my buil ding.9. I could not tell whether he ________ from heat or from fear.10. The boy‟s teachers looked upon his worsening performance with _________ .1-5 approaches, pursue, colonial, sole, established6-10 origin, curiosity, vacant, was sweating, disapprovalII. Explanation (词组解释：用英语解释划线的词组)1 Ethal liked the gray row house right off and moved in a month later. She found a bunch of tough-looking young men hanging out on her stoop before long.2. I suggested that he could take the toy apart to see how it did work, but he refused it, and he never did work out the solution eventually.3 There were no more butterflies in my stomach after five years. I could handle whatever I found even if the case was one in which it was impossible to anticipate the problem in advance.4. Judging by the expression of the headmaster on his face, my answer not attaching much importance to his question made him unsatisfactory.5 I have never been able to track down the story that the American naturalist commands all the guests to join the game while the cobra made for the bowl of milk.1. immediately, wandering aimlessly or killing time2. separate the toy into pieces, find the answer to3. feeling of nervousness, ahead of time4. Forming an opinion based on, paying emphasis upon5. discover or search for, head/crawl forⅢ.Reading Comprehension（阅读理解：每题选择一个最佳选项）Passage AThis is what the police say happened beginning at 3:20 AM in the proper, tree-lined neighborhood. Twenty-eight-year-old Marissa Parry was returning home from her job as manager of a bar. She parked her car in a lot next to the local railroad station, locked the door, and started to walk the 100 feet to the entrance of her apartment. The entrance to the apartment is at the rear of the building as the front of the building contains small stores. The neighborhood was covered in a sleeping darkness.Miss Parry noticed a man at the far end of the lot, near a seven-storey apartment house. She halted, then, nervously, she headed up the street, where there is a police call box. She got as far as a street l ight in front of a bookshop, before the man grabbed her. She screamed, “Oh, my God, he stabbed me! Please help me!”. Lights went on in the ten-storey apartment house across the street. Windows were opened and voices spoke in the early-morning stillness. From one the upper windows in the apartment house, a man called down: “Let the girl alone!” The man looked up at him, shrugged(耸肩), and walked down the street toward a white car. Miss Parry struggled to her feet.Lights went on. The man returned to Miss Parry, stabbed her again. Miss Parry called out, “I‟m dying! I‟m dying!” windows were open again and lights went on in many ap artments. The man got into the car and drove away. Miss Parry staggered to her feet, and at the time a city bus passed. The man returned. By then, Miss Parry had crawled(爬行) to the back of the building where doors to the apartment house held out hope for afety. The killer found her at the second door, lying on the floor at the foot of the stairs. He stabbed her again—killing her.Fifteen minutes later, the police received their first call, from a man who was a neighbor of Miss Parry. In two minutes they were at the scene. The neighbor, a 70-year-old woman, and another woman were the only persons on the street. Nobody else came forward. The man explained that he had called the police after much thought. He had phoned a friend for advice and then he had gon e to the apartment of the elderly woman to get her to make the call. “I didn‟t want to get involved,” he told the police.1. When happen the murdering in proper neighborhood? ________A. at duskB. at noonC. at nightD. at dawn2. Why did Miss Parry head up the street when she found a man at the far end of the lot? ________A. calling the policeB. asking the help from the familyC. asking the help from the neighborsD. running away the scene3. Does the man calling the police immediately the killing took place? ________A. YesB. NoC. The passage doesn‟t mention it4. How many times did the man stab Miss Parry throughout the accident? ________A. twoB. threeC. fourD. five5. The author expresses the emotion of ________ to the killing case.A. sympathyB. indignationC. curiosityD. indifferencePassage BI‟m usually fairly skeptical about any research that concludes that people are either happier or unhappier or more or less certain of themselves than they were 50 years ago. While any of these statements might be true, they are practically impossible to prove scientifically. Still, I was struck by a report which concluded that today‟s children are significantly mor e anxious than children in the 1950s. In fact, the analysis showed, normal children ages 9 to 17 exhibit a higher level of anxiety today than children who were treated for mental illness 50 years ago.Why are America‟s kids so stressed? The report cites two main causes: increasing physical isolation—brought on by high divorce rates and less involvement in community, among other things—and a growing perception that the world is a more dangerous place.Given that we can‟t turn the clock back, adults can still do plenty to help the next generation cope. At the top of the list is nurturing (培育) a better appreciation of the limits of individualism. No child is an island. Strengthening social ties helps build communities and protect individuals against stress.To help kids build stronger connections with others, you can pull the plug on TVs and computers. Your family will thank you later. They will have more time for face-to-face relationships, and they will get more sleep.Limit the amount of virtual (虚拟的) violence your children are exposed to. It‟s not just video games and movies; children see a lot of murder and crime on the local news.Keep your expectations for your children reasonable. Many highly successful people never attended Harvard or Yale.Make exercise part of your daily routine. It will help you cope with your own anxieties and provide a good model for your kids. Sometimes anxiety is unavoidable. But it doesn‟t have to ruin your life.6. The author thinks that the conclusions of any research about people‟s state of mind are ________.A. surprisingB. confusionC. illogicalD. questionable7. What does the author mean when he says, “we can‟t turn the clock back” (Line 1, Para. 3)?A. It‟s impossible to slow down the pace of change.B. The social reality children are facing cannot be changed.C. Lessons learned from the past should not be forgotten.D. It‟s impossible to forget the past.8. According to an analysis, compared with normal children today, children treated as mentally ill50 years ago ________.A. were less isolated physicallyB. were probably less self-centeredC. probably suffered less from anxietyD. were considered less individualistic9. The first and most important thing parents should do to help their children is ________.A. to provide them with a safer environmentB. to lower their expectations for themC. to get them more involved sociallyD. to set a good model for them to follow10. What conclusion can be drawn from the passage?A. Anxiety, though unavoidable, can be coped with.B. Children‟s anxiety has been enormously exaggerated.C. Children‟s anxiety can be eliminated with more parental care.D. Anxiety, if properly controlled, may help children become mature.Passage CIt was clearly the headmaster himself that opened the door. He was short and fat, with a sandy-colored moustache, a wrinkled forehead and hardly any hair. He looked at me with an air of surpris ed disapproval, as a colonel might look at a private whose bootlaces were undone. …Ah, yes. You‟d better come inside,‟ he grunted. The narrow, sunless hall smelled unpleasantly of stale cabbage; the walls were dirty with ink marks; it was all silent. …You‟d better sit down,‟ he said, and proceeded to ask me a number of questions: what subjects I had taken in my General School Certificate; how old I was; what games I played; then fixing me suddenly with his bloodshot eyes, he asked me whether I thought games were a vital part of a boy‟s education. I mumble something about not attaching too much importance to them. He grunted. I had said the wrong thing. The headmaster and I obviously had very little in common.The school was made up of one class of twenty-four boys, ranging in age from seven to thirteen. I should have to teach all subjects except art, which he taught himself. Football and cricket were played in the Park, a mile away on Wednesday and Saturday afternoons. The teaching set up filled me with fear. I should have to divide the class into three groups and teach them in turn at three different levels; and I was dismayed at the thought of teaching algebra and geometry — two subjects at which I had been completely incompetent at school. Worse perhaps was the idea of Saturday afternoon cricket; most of my friends would be enjoying leisure at that time.I said shyly, …What would my salary be?‟ …Twelve pounds a week plus lunch.‟ Before I could protest, he got to his feet. He said, …Now, you‟d better meet my wife. She is the one who really runs the school.‟ This was the last straw. I was very young: the prospect of working under a woman constituted the ultimate indignity.11. The headmaster looked at the author disapprovingly ________ .A. because the latter had left his bootlaces undoneB. because the latter looked too nervousC. because the latter didn‟t show due respectD. as an officer look at a carelessly dressed soldier12. After the author was asked a number of questions, he concluded that the headmaster _______ .A. didn‟t like to play the same gamesB. believed the games was very key to a boy‟s educationC. attached great importance to artD. was a game fan13. The idea of Saturday afternoon cricket was even more discouraging because ________ .A. he had to walk a mile to get to the cricket fieldB. he wasn‟t good at playing cricketC. most of his friends would be free at that timeD. he didn‟t like to play little boys in public14. If the author had had a chance, he would have protested _________ .A. at the term offered by the headmasterB. about meeting the headmaster‟s wifeC. against having lunch at schoolD. about playing cricket on weekends15. We can infer that the author ________ at the end of the story.A. coul dn‟t decide whether he should accept the job or notB. had no choice but to accept itC. refused the job though he needed itD. accepted the job though he didn‟t like it 1-5 D C BBB 6-10 D B C C A 11-15 D B C A CⅣ. Translation (翻译)1. 妈妈上楼来查看我们这些孩子时，我转过身假装睡着了。

人教版二年级数学期末复习1数与代数复习[解析版]知识图谱100以内的不进位加法竖式知识精讲一．笔算加法时，个位和个位上的数对齐，十位和十位上的数对齐，从个位算起．二．两位数加两位数：不进位和进位。

重点是进位，个位加个位，满十向前一位进一，十位加十位，记得加小1 三．两位数减两位数：不退位减和退位减。

重点是退位减，个位不够，从十位退一，十位减的时候不要忘记退掉1 四．100以内的加减混合运算：不带括号的混合运算，按照从左到右的顺序列竖式计算；带括号的混合运算：（1）小括号起到改变运算顺序的作用；（2）运算中有小括号，改变了原有的运算顺序，则不能把两个竖式简写成一个竖式的形式；（3）在带小括号的运算中，一般先算小括号里面的五．乘法是求几个相同加数的和的简便运算，在乘法算式中，乘号前面和后面的数叫乘数，乘得的结果叫积． 六．1~9的乘法口诀七．乘加乘减：先算乘法再算加减法100以内的加减法例题1、 用竖式计算． 35＋27＝ 18＋43＝ 65＋15＝ 46＋26＝例题2、 列竖式计算：（1）259-=______；（2）878-=______．例题3、 小白兔拔了18个萝卜，比小灰兔少拔6个。

小灰兔拔了多少个萝卜？两只小兔一共拔了多少个萝卜？随练1、 用竖式计算．28＋47＝ 60—34＝ 93—28＝ 9＋56＝ 100—78＝ 17＋83＝随练2、 的下面藏着几？随练3、 王林买了两件不同的物品，最多会用多少钱？最少会用多少钱？表内乘法一例题1、 3＋3＋3＋3＋3＋3＝3×（ ） 5＋5＝（ ）×2例题2、（1）买3个水杯和1个笔筒需要多少元？ （2）买4个笔筒和1个水杯需要多少元？ （3）买3个笔筒比买1个水杯多花多少元？例题3、 （1）这些小狗一共有多少只耳朵？（2）这些小狗一共有多少条腿？随练1、 王老师去体育商店买羽毛球拍，商店里正在进行活动，买1副球拍送1个羽毛球，王老师买了3副球拍．那么，（1）一共买了几个羽毛球拍？（2）商店应该送王老师几个羽毛球？8 2 － 3 746 3 － 2 675 0 － 827 4 － 86（ ）（ ）（ ）（ ）随练2、（1）买5张成人票多少钱？（2）上二年级的小刚和他的3个同学到公园玩，他们买门票要用多少元？（3）李老师带5个二年级的学生到公园玩，20元钱买门票够吗？随练3、列式计算。

复习自测题（1）——交际用语阅读下面的小对话，从A、B、C三个选项中选出一个能填入空白处的最佳选项，并在答题纸上写出所选的字母符号。

表达问候1.—Hello, r m Xiaoyan. Nice to meet you.A.r m nice, tooB.Fine, thank youC.Nice to meet you, too. I' m David Manning2.—Hello, Linda, how are you?A.Very good. Are you good?B.Very well, thank you. And you?C.Hello, Rose, how do you do?谈论工作3.—What do you do?A.I am a policemanB.I am washing the dishes nowC.I do my homework4.?一My father is a manager. My mother is a nurse.A.Where are your parentsB.What do your parents doC.What are your parents doing right now谈论时间5.一How long does it take from Beijng to London by plane?A.It costs 1,200 dollarsB.It takes about 7 hoursC.It' s not near enough6.一How long does it take to go there by train?A.It is 20 poundsB.It takes 20 hoursC.The training is very fast7.—— What time does the train leave?A.On Tuesday Bin the morning C.At half past five表达提议8.—The shower isn' t working.A.I come to call the plumberB.r 11 call the plumberC.I like calling the plumber9.—Would you like to go with us?A.Ok, r d loveB.I would likeC.r d love to10—?一An orange juice, please.A.What do you likeB.What would you likeC.Would you like an orange juice11.—.一That' s a good idea.A.When can you write the invitationsB.What do you think of the invitationsC.Why don' t we write the invitations now12.一Could you ring them up please? I' m sometimes quite nervous on the phone.A.Are you? I am fine.B.Yes, why don' t you call them?C.Yes, of course. I will phone them for you.13.一How about seeing a film this evening?—Yes,.A.that' s a good ideaB.pleaseC.that' s right问路与指路14.一Excuse me, where is the nearest bank, please?A.It' s not sureB.That，s all rightC.It' s next to the newsagent15.—Excuse me, how do I get to the gym, please?A.You take the number 866 bus from the supermarketB.It takes about an hour to get thereC.r d like to see them描述人的外貌16.— What does your English teacher look like?A.She likes singingB.She' s tall and has long, wavy hairC.She looks sad17.—What does her boyfriend look like?A.He is intelligent and confidentB.He likes playing footballC.He is quite tall with fair curly hair描述天气18.— What' s the weather like in this area?A.That' s all rightB.It' s rainyC.Yes, it' s fine询问价格（Unit 5 ）19.—How much is the rent of the flat?A.The hotel room is expensiveB.It is 450 pounds a monthC.It is near the center of the city询问病情20—?一ve got a bad cough.A.What' s the matter with youB.What is it likeC.How was your day yesterday 参考答案：■ 一l.C 2.B 3.A 4.B 5.B6.B7.C8.B9.C 10. Bll.C 12.C13.A14.C15.A16. B17.C18.B19.B20.A复习自测题（2）——词汇与结构阅读下面的句子和对话，从A、B、C三个选项中选出一个能填入空白处的最佳选项。

一、整除理论 1．证明：任意给定的连续39个自然数，其中至少存在一个自然数，使得这个自然数的数字和能被11整除。

2．设p 是n 的最小素约数，n = pn 1，n 1 > 1，证明：若p >3n ，则n 1是素数。

证明：设不然，n 1 = n 2n 3，n 2 ³ p ，n 3 ³ p ，于是n = pn 2n 3 ³ p 3， 即p £3n ，矛盾。

3．设3a 2b 2，证明：3a 且3b 。

写a = 3q 1 + r 1，b = 3q 2 + r 2，r 1, r 2 = 0, 1或2，由3½a 2+ b 2= 3Q + r 12+ r 22知r 1 = r 2 = 0，即 3½a 且3½b 4．证明：对于任意给定的n 个整数，必可以从中找出若干个作和，使得这个和能被n 整除。

设给定的n 个整数为a 1, a 2, L, a n ，作 s 1 = a 1，s 2 = a 1 + a 2，L ，s n = a 1 + a 2 + L + a n ，如果s i 中有一个被n 整除，则结论已真，否则存在s i ，s j ，i < j ， 使得s i 与s j 被n 除的余数相等，于是n ½s j - s i = a i + 1 + L + a j5．设a ，b ，c 是正整数，证明：),)(,)(,(),,(],][,][,[],,[22a c c b b a c b a a c c b b a c b a因为，故只须证明(a , b , c )(ab , bc , ca ) = (a , b )(b , c ) (c , a )，此式用类似于例3的方法即可得证。

6．设k 是正奇数，证明：1 2 …… 91k 2k …… 9k。

设s = 1k+ 2k+ L + 9k，则由2s = (1k+ 9k) + (2k+ 8k) + L + (9k+ 1k) = 10q 1及2s = (0k+ 9k) + (1k+ 8k) + L + (9k+ 0k) = 9q 2得10½2s 和9½2s ，于是有90½2s ，从而1 + 2 + L + 9 = 45½s 7．设a ，b 是正整数，证明：(ab )[a , b ] = a [b , ab ]。

英语1复习资料复习一1—e 2-—-d 3—-—c 4—-—b 5-—-a一.Match the phrases with Chinese translation.1. be filled with a。

和…分享2。

get involved in b。

结果却…3. in terms of c. 在…方面4. only to do d. 参与某些活动5。

share .。

with e. 充满二.Fill the blanks with the words given below. Change the form where necessary。

1. They should be ________for planning and carrying out the financial policies of the company。

2.No final decision has been _________taken, but it seems likely that the two companies couldmerge in the near future。

3.The girl was very upset because she could not get these coffee _________out of the newcarpet。

4.They said that they would innovate with persistence to________ the product in the comingyear.5.April sunlight_________ over the water, dancing across snow-covered fields.6.I got a free_________ of eye shadow。

Could you show me how to use it?7.It is generally accepted that giving advice at the right time has to________ a great deal ofintelligence.8.Have you found the small symbols on this map which denote________places and museums?9.The freshmen were recommended to read the book which was filled with _________insights。

期末复习资料之一 必修1 复习题一、选择题1、 下列函数中，在区间()0,+∞不是增函数的是（ ） A.xy 2= B. x y lg = C. 3x y = D. 1y x=2、函数y ＝log 2x ＋3（x≥1）的值域是（ ）A.[)+∞,2B.（3，＋∞）C.[)+∞,3D.（－∞，＋∞）3、若{|2},{|xM y y P y y ====，则M∩P （ ）A.{|1}y y >B. {|1}y y ≥C. {|0}y y >D. {|0}y y ≥ 4、对数式2log (5)a b a -=-中，实数a 的取值范围是（ ）A.a>5,或a<2B.2<a<5C.2<a<3,或3<a<5D.3<a<45、 已知xax f -=)( )10(≠>a a 且，且)3()2(->-f f ，则a 的取值范围是（ ）A. 0>aB. 1>aC. 1<aD. 10<<a6、函数y ＝(a 2-1)x在(-∞，+∞)上是减函数，则a 的取值范围是( ) A.｜a ｜>1 B.｜a ｜>2C.a>2D.1<｜a ｜<26、函数)1(log 221-=x y 的定义域为（ ）A 、[)(]2,11,2 -- B 、)2,1()1,2( -- C 、[)(]2,11,2 -- D 、)2,1()1,2( --8、值域是（0，＋∞）的函数是（ ）A 、125xy -=B 、113xy -⎛⎫= ⎪⎝⎭C、yD9、函数|log |)(21x x f =的单调递增区间是A 、]21,0( B 、]1,0( C 、（0，+∞） D 、),1[+∞10、图中曲线分别表示l g a y o x =，l g b y o x =，l g c y o x =，l g d y o x =的图象，,,,a b c d 的关系是（ ）A 、0<a<b<1<d<cB 、0<b<a<1<c<dC 、0<d<c<1<a<bD 、0<c<d<1<a<b11、函数f(x)=log 31(5-4x-x 2)的单调减区间为( )A.(-∞，-2)B.［-2，+∞］C.(-5，-2)D.［-2，1］12、a=log 0.50.6，b=log 20.5，c=log 35，则( )A.a ＜b ＜cB.b ＜a ＜cC.a ＜c ＜bD.c ＜a ＜b13、已知)2(log ax y a -=在［0，1］上是x 的减函数，则a 的取值范围是( )A.(0，1)B.(1，2)C.(0，2)D.［2，+∞］14、设函数1lg )1()(+=x x f x f ，则f(10)值为（ ）A ．1 B.-1 C.10 D.101 二、填空题 15、函数)1(log 21-=x y 的定义域为 16、．函数y ＝2||1x -的值域为________ 17、将(61)0，2，log 221,log 0.523由小到大排顺序：x18. 设函数()()()()4242xx f x x f x ⎧≥⎪=⎨<+⎪⎩，则()2log 3f =19、计算机的成本不断降低，如果每隔5年计算机的价格降低31，现在价格为8100元的计算机，15年后的价格可降为20、函数),2[log +∞=在x y a 上恒有|y|>1，则a 的取值范围是 。