Missing Three

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Unit Three

Unit ThreePart One: vocabulary and StructureI1. hates2. incompatible3. expectation4. charms5. indication6. subsequent7. suspicion8. Concerning9. anticipation 10. criticized 11. miserably 12. modest 13. innocent 14. arrangement 15. painfulII1.be compatible with2. proceeded to3. has had a, effect4. has been involved with5. be, open with6. had nothing to do with7. think of8. met with9. come up with 10. win over 11. at his worst 12. worked outIV1-5 BADAC 6-10 DAAAD 11-15 BDADD 16-20 CACACV.1. A 改为numbers.2. B改为am going. Neither …. Nor…结构做主语时，主谓一致遵循就近原则。

3. A 去掉when. the minute 意为“…就…”, 其后可跟that, 但不可用when.4. C改为meeting. Avoid用名词或动名词做宾语。

5. C改为faster.6.B改为were taken care of.7. B. 改为mind. Keep sb. In mind.8. B改为quarrel with 与。

争吵。

9. A改为given . 考虑到10. D改为put out, “发播广告”，而put up的意思“提出，贴出，竖起”。

Part Two: Translation.I1.医生吩咐要尽早安顿这些病人睡觉。

passage 3

Passage ThreeI was 53 when my first book, The Naked Face, was published in 1970. People frequently remarked, “Isn’t it wonderful you’ve finally achieved your lifelong ambition.” In truth, writing a book hadn’t occurred to me before I sat down and did it. The Naked Face was an accident.At the time I had been a successful television writer for “The Party Duke Show” and “I Dream of Jeanie”. Before breaking into TV, I won an Oscar for writing the 1947 film The Bachelor and The Bobby-Soxer, and a Tony in 1959 for the Broadway Musical Redhead. But I found the prospect of writing a novel utterly intimidating, I assumed I didn’t have whatever extra dash of magic that goes into composing a book.Then, I hatched a plot about a psychoanalyst whom someone tries to murder. He has no enemies and no clue who’d want him dead. Using his skills as an analyst, he sets out to solve the mystery.This story might just as well have been a film, play or TV movie except for one challenge: It demanded the audience to get inside the hero’s head and hear his thoughts. I couldn’t figure out how to do that in a script. So I tried to let go of the notion----but it wouldn’t let go of me.Finally, I started dictating my attempt at a novel. I’ve always dictated everything, including screenplays, because my mind works faster than my hands. I rewrote the book about six times---deleting sentences, inserting new paragraphs---and my secretary kept retyping it.Once I finished the book, I had no idea of the next step. I was familiar with all the Hollywood agents but no literary agents. I called my dear friend, the writer Irving Wallace. He kindly sent my manuscript to this agent, who took over.I was less than optimistic because I didn’t view myself as a real author. Three months and seven rejections went by, and when my agent called with good news, I almost didn’t believe it. William Morrow had offered me a $1, 000 in advance. I immediately replied, “Grab it!” But I paid five times that amount to see the book in print at last.On the morning the novel came out, I hurried to a bookstore in Beverly Hills and bought one---for fear that, otherwise, nary a copy of The Naked Face would move off the shelves. I’ve done the same with every book of mine since, just in case.My novel’s first review appeared in The Los Angeles Times. The critic wrote that I shouldn’t have made the killer quite so obvious. I don’t think she had bothered to finish the book, because the killer seems very obvious until the end. Forlorn, I expected all further reviews to be equally negative. Mercifully, The New York Times came out with wonderful reviews, describing my book as “the best first mystery novel of the year”.A publicist arranged for me to promote The Naked Face at a literary lunch. Six authors--- historians Will and Ariel Durant, Los Angeles Times columnist Jack Smith, novelist Gwen Davis, and U-2 pilot Francis Gary Powers and I ---sat at head table. We each spoke about our books, which were available for purchase there. After lunch, people queued up to have their various copies signed. Long lines, all the way to the back of the room, formed for every other writer. In front of me, not a single soul. I took out a pen and pretended to be busy, pretended I didn’t care, pretended I didn’t want to commit suicide.A couple of months later, I met with a William Morrow executive in New York. He told me “Your book has done very well. It’s sold 17,000 copies. ” I said, “Excuse me. I have a television show on the air that’s watched by 20 million viewers every week. I’m not terribly impressed by 17,000 copies.”The Naked Face made no money---it cost me money because I paid for the book out. But something fantastic happened during the experience, mortifying moments and all. I discovered a sense of freedom I had never known.When you write a movie or a play, yours is but one voice in a cacophony of opinions. You deal with aproducer who decrees a scene too expensive, a director who changes your female lead into a man, an actor who insists, “My character would never say that.” But when you write a book, you alone are the producer, director and cast. You decide your story’s setting, whether to make your characters healthy or ill, rich or poor, heroic or evil. You’re totally responsible for your novel. It’s all you. I loved that.I wrote a second novel, The Other Side of Midnight, with no illusion that it would be any more lucrative than The Naked Face. Published in 1974, The Other Side of Midnight became a phenomenon, selling millions of copies in hard and paperback. Suddenly, I busted out as a novelist with a capital N Fan mail poured in. Strangers would stop me to chat my books.Previously, only those in the entertainment industry appreciated my talents. If you ask someone on the street about his favorite movie, he’ll tell you not only the title but the star. Ask who wrote the screen play, and you’ll get a blank look. With a novel, the author is the star.The Naked Face transformed my life. If I had never hit upon that specific idea, I wouldn’t be a novelist today. I’d still make good money writing scripts. I’d still enjoy my career and my family. But I would not have left my mark. And most of all, I would not have had as much fun.1.What did the author of this article win Tony for?[A] The Naked Face. [B] I Dream of Jeanie.[C] The Redhead. [D] The Patty Duke Show2. The manuscript of The Naked Face was rejected by publishers ___ in three months.[A] three times [B] seven times[C] six times [D] eight times3. How much money did the author spend in printing The Naked Face?[A] $4,000 [B] $1,000[C] 5,000 [D] $17,0004. The author has a habit that every time his book came out, he would got to bookstore to ____.[A] buy a copy of his books[B] see the sales volume of his books[C] promote the sell of his books[D] investigate readers’ favorite.5. The Naked Face was criticized by many reviews except for the ones in ______, according to the passage.[A] The Los Angeles Times. [B] The New York Times.[C] The New York Daily News. [D] Washington News.6. The fact that no one asked the author to sign after the literary lunch show that____.[A] other authors’ books were very salable[B] readers were not familiar with the Naked Face[C] other authors are more popular than the author[D] the Naked Face didn’t appeal to readers7. How many copies of The Naked Face were sold, by the time this article was written?[A] 17,000 [B] 20,000[C] 1.700 [D] 2,0008. The author gained ___________________________the first time by writing The Naked Face.9. ___________________________ made the author famous as a novelist.10. The turning point of the author’s life was marked by his novel_______________________.。

3.3 Discovering Useful Structure )-人教版高中英语必修第三册

普通高中英语（2019版）必修第三册Unit 3 Diverse Cultures 导学案Period 3 Discovering Useful Structures1.学会结合语境分析句子中省略的词语，体会省略的作用；2.能够根据上下文语境或情景恢复句子中省略的成分，体会使用省略的效果；3.掌握常见的省略现象，体会省略的作用。

重点：1.掌握常见的省略现象，体会省略的作用；2.能够根据上下文语境或情景恢复句子中省略的成分，体会使用省略的效果。

难点：根据上下文语境或情景恢复句子中省略的成分。

Step 1 RevisionRead the three sentences and find out what is missing.①Go down this street and turn right at the second crossing.②Anything else?③—Are you from America? —Yes，I am．④What a beautiful city!⑤Tom picked up the book from the floor and handed it to his brother.⑥Here is the man you’ve been looking for.⑦He said the text was very important and that we should learn it by heart.⑧When published，the novel will become one of the best sellers of the year.⑨He runs as fast as Bob．⑩We insisted that they go with us.Step 2 Activity 1Rewrite the following sentences with ellipsis structure.①When he was in America，he made many friends with students from different countries.→_____________，he made many friends with students from different countries.②He won’t attend the party even if he is invited.→He won’t attend the party_____________．③Mistakes，if there are any，should be corrected.→Mistakes，_______，should be corrected.④—Shall we have a test tomorrow?—I hope we won’t have a test tomorrow.→—Shall we have a test tomorrow?—_____________．⑤The book that he borrowed yesterday is well worth reading.→_____________ is well worth reading.Step 3 Activity 2Rewrite these sentences and take out the unnecessary parts.1You mean you are planning a trip across the Atlantic for a holiday?It sounds like a good idea.2He tried to solve his financial problems,but couldn't solve the problems.3If it is necessary,I'll finish my report on American poetry as soon as it is possible.4Are you going to dress like that? Wearing a dress might be better than wearing jeans and boots.5Some wild mushrooms are poisonous and some are not poisonous.6I really like that paper folding book and my son like that paper folding book,too.Step 4 Activity 3Complete these sentences using the ellipsis structure.1．_________ I always turn to her for help.(trouble)我有困难时总是找她帮忙。

牛津上海版英语七年级第一学期Module Three Test

二、单选题2. Which of the following word matches the sound/`deərɪ/？A ．dairyB ．diaryC ．dailyD ．driver3. My grandma is 95 years old ，but she can cook the food for____________.A ．herB ．hersC ．sheD ．herself4. Jack and his friends visited the noodle factory ____________Saturday afternoon.A ．inB ．ofC ．atD ．on【小题5】___________ /`evrɪbɒdɪ/is excited about the coming holiday.【小题4】We need to buy some___________/bə`lu: n/to decorate our classroom.【小题3】The road is too narrow. It is only one track___________/waɪd/.【小题2】Heat the oil in the pan ，then___________/pɔ:/in the egg mixture.【小题1】Beat up the eggs before you ___________/æd/ the flour. Complete the sentences according to the given phonetic transcriptions （根据所给音标完成句子）1.一、根据音标写单词上海初一单元测试2019-12-0784次牛津上海版英语七年级第一学期Module Three Test5. To be a healthy boy，I will drink ____________soft drinks.A．fewer B．less C．little D．many6. If you want to keep fit，you should not watch ____________TV.A．too many B．too much C．a lot of D．many7. —May I have ____________fried rice？—Yes，of course.A．a bowl of B．a cup of C．a bottle of D．a bar of8. There isn't any fruit in the fridge. We need ____________some.A．buying B．to buy C．bought D．have bought9. It is raining heavily outside，____________I can't play football with my friend.A．and B．but C．so D．because10. Let's fly kites this weekend. The weather reporter says it ____________sunny.A．is going to be B．was C．were D．are11. If it ___________ tomorrow, we will have a barbecue in the park.A．will rain B．rains C．won't rain D．doesn't rain三、用单词的正确形式完成短文四、用所给单词的正确形式填空12. —____________ are you decorating the house ？—For Ben's birthday party.A ．WhyB ．HowC ．WhatD ．Who13. —I like playing football best. It's my favourite outdoor activity. —____________A ．So am I.B ．Neither am I.C ．So do I.D ．Neither do I.14. —Shall we go to the cinema together ？—____________A ．Yes ，please.B ．You're welcome.C ．Good idea.15. Complete the following passage with the words in the box. Each word can only be used once （将下列单词填入每句的空格中。

新BOOK3-UNIT 3

Compare: tranquil & calm & serene
• Close down:关闭、歇业 • Close in on/around:包围
rural & urban
• The disease occurs most frequently in rural ng has been damaged by excessive noise levels.
Security Systems in Modern Time
dead-bolt locks security chains electronic alarm system trip wires sliding glass doors with steel bars access cards electronic X-ray equipment electronic friskers high-intensity light rape whistles
Tips to prevent bicycle theft
buying
a U-lock
locking
your bike to
something. parking using
in high traffic areas.
an old bike
Tips to protect yourself when using an ATM
• What can be done to better the situation of insecurity?
• How to steer clear of 避开、绕开insecurity?
•Avoid walking or running alone at night. Instead go walking or jogging with a friend. •Don’t use headphones while walking, driving or jogging. •Always walk in well-lighted areas.

综合英语 unit3 Saved by His Mistakes

Unit 3Brainstorming．Expressions for describing difficult or problem situations:accident, event, happening, crash (of vehicles, planes etc.), shipwreck (of boats or ships etc.), overturn (of automobiles or ships etc.), sink (of boats, ships), bump (of people / vehicles hitting something)Phrases: be in difficulty / trouble / danger, have difficulty / trouble (in) doing something, have a hard time doing something, be left stranded on / in / at, etc., be landed with (unpleasant tasks, people, etc.), be caught / stuck / jammed in (a traffic jam, etc.), get stuck, be in danger2. Expressions of fear:afraid, alarmed, anxious, startled, unnerved, frightened, scared, horrified, terrified, astounded, panicky, become hysterical, act frantically / furiously / desperately, live in fear, get a fright, go as white as a sheet, nearly jump out of one's skin, scared stiff3. Expressions for solving problems:take action, fight against, get to the bottom of things (discover the real cause of the problem), figure / work out what to do, take measures, get / act together, put something right, find a solution, sort things out, clear things up, straighten things out4. Expressions for rescue work:save, help, rescue, give first aid, bandage, pull out of (a difficult situation, a calamity, etc.), dig out, save one's life, come to one's rescue / help, get somebody out of (a difficult situation), pick up somebody (from a dangerous place), be picked up (by helicopter, boat, etc.)Listening1.The aeroplane was circling over the airport and moving unsteadily through the air. Infact, the pilot had fainted and nobody was flying the plane2.When they heard the news, many passengers started to panic. The speaker could hearhopeless and horrified screams here and there, and he himself was also scared 3.After hesitating for a while, the speaker decided that he had to do something. Heunfastened his seat belt, got up and followed the hostess into the pilot's cabin4.First, he moved the pilot aside and took his seat. He then followed the radioinstructions from the airport below. After circling the airport several times to become familiar with the controls, he managed to guide the plane towards the runway andlanded safelyMain IdeaThis text is about a boy’s adventurous hunting trip in which he wa s trapped in the deep hollow of a dead tree and was eventually saved with the help of his three dogs. The irony of the story is that the boy was saved by his mistakes---by the two pups whom he mistook for beagles and had paid a big price of five dollars to buy them.内容梗概：本文介绍了一个小男孩的冒险打猎经历。

Unit Three

Unit Three一、 1.洗碗 2.倒垃圾 3.叠衣服4.铺床5.打扫客厅6.扫地板7.外出吃晚饭8.在外面呆很久9.帮助解决10.搭便车11.至少12.相当干净13.走过来14.一直15.吃惊地16.遛狗二、1.-Could you please do the dishes ? - Yes, _____ ./No, I can’t .I cut my finger and I’m trying ______________________________________ .2.-Could I hang out with my friends ?-Yes,____________________________ .3.-Could you please pass me the salt ?-yes,but _____________________________ .4.-Could I borrow the book ?- Yes,sure.No problem.I ________ _____ it last night.5.Could you lend me some money ?-Hmm.__________________________ ?6.Two weeks ____ enough for me .( Two kilometers Two thousand yuan) (说）7.As soon as The minute I sat down in front of the TV, mum came over (说）I __________ (call) you as soon as I ____ (get) to Beijing.8.neither 1) Neither of us _____ a worker . Neither of us ______ a ruler . Neither of us _____ apples. (说）2)He isn’t a worker, _____ ___ I. He can’t swim, ____ ____ I. He doesn’t like apples, _____ ____ I. He didn’t go shopping yesterday ,____ ___ _____ . (说）9.surprise _____ surprise ___ one’s _____ be _____ at ______ sb.(说）She said _________ . ____ our _____, he has run out of money. We were _____ ____ the news. The news _____ us.10.if will do if do/does(说）We _____ basketball if it _____ (not rain ) tomorrow. Mum won’t be happy if she ____ this mess.11.Work on /out/ for /as work on ______ /_________ work out the _____________Work for ___________ work as a ________12.lend ... to /borrow ... From Can I ______ the book ____ you ? = Can you ____ ____ the book?13.at least finish We need ______ ten more chairs.14.Welcome welcome sb. Be welcome your warm welcome1)They were at the door to ______ us. 2) The children _____ welcome at the hotel. 3)Thank you for your warm _____ .15.throw Don’t _____ _____ on the ground .He _____ down the bag over there.16.The next day17.All whole all day/____ /_____ /_______ /________ /________The whole _____ /_____ /________ /______________18.share walk share ______ /________Walk to school /go out ____ ____ ____ / walk the dog = ___ the dog ___ a ____19.too as...as --- not ___ __ =____ than20.All the time You watch TV _________________ . (说）21.Reply pass reply ___ the letter pass me the salt =。

剑桥国际少儿英语kb4 Unit3 文本

Unit3 Health mattersWords：is/are-was/were have-had give-gave see-saw drink-drank 是有给看见喝eat-ate go-went take-took dentist nurse medicine 吃去拿牙医护士药hospital ill bowl医院生病碗Sentences：I was at home because I wasn't well.What was the matter? —I was ill.I had a terrible cough so I saw the doctor.On Thursday I went to the hospital with Mum and had some tests. The doctor gave him some medicine.Were you awake all night? —No, I had a terrible dream. Did you eat burgers? —Y es, I did.Take this medicine three times a day.P28.2ALEX: You weren't at school last week, Simon. Where were you?Simon，你上周没来学校。

你去哪里了？SIMON: I was at home because I wasn't well.我不舒服，所以我呆在家里。

ALEX: What was the matter?你怎么了？SIMON: I was ill. Last Monday I had a temperature. It was 39º.我生病了，上周一我发烧39度。

ALEX: Wow! What was the matter?哇，怎么回事？SIMON: I don't know. I drank lots of water, but on Tuesday I was worse and I had a bad headache too.我不知道。

陕旅版三年级英语下册unit2课件

B: Good afternoon, Wu Chen. A: Good afternoon, Miss White. E: Hello! Nice to meet you. D: Nice to meet you, too, Miss White.
ABCED
>>Presentation
Ask and answer Who is she? She is …
>>Presentation
Read a story —Mom! Mom! Where’s my mom?
—Don’t cry! Follow me. —Is that my mom?
—No, she isn’t. —Is that my mom?
—No, she isn’t. —Are you my mom?
>>Practice
Point and say This/That/He / She is …
>>Practice
Let’s chant
>>Review
Make the right order
C: Miss White, this is my father.
And this is my mother.
Let’s learn
mother(mom)
grandma
father(dad)
grandpa
>>Presentation
Let’s learn
Mother’s father Father’s father Mother’s mother Father’s mother
grandpa grandpa grandma grandma

2003年AMC8中文版答案

1.(E)A cube has12edges,8corners and6faces.The sum is26.2.(C)The smallest prime is2,which is a factor of every even number.Because58is the only even number,it has the smallest prime factor.3.(D)Since30of the120grams areﬁller,30120=25%of the burger isﬁller.So100%−25%=75%of the burger is notﬁller.ORThere are120−30=90grams that are notﬁller.So90120=75%is notﬁller.4.(C)The following chart shows that the answer must be5tricycles.Bicycles Tricycles Wheels0721162025193418ORLet b equal the number of bicycles and t equal the number of tricycles.Then the number of vehicles is b+t=7,and the number of wheels is2b+3t=19.Because b=7−t,it follows that2(7−t)+3t=1914−2t+3t=1914+t=19t=5.ORIf each child had a bicycle,there would be14wheels.Since there are19 wheels,5of the vehicles must be tricycles.5.(B)If20%of the number is12,the number must be60.Then30%of60is0.30×60=18.ORSince20%of the number is12,it follows that10%of the number is6.So 30%of the number is18.56.(B)A =12(√144)(√25)A =12·12·5A =30square units 7.(A)Blake scored a total of 4×78=312points on the four tests.Jenny scored 10−10+20+20=40more points than Blake,so her average was 3524=88,or 10points higher than Blake’s.ORThe total point di ﬀerence between Jenny’s and Blake’s tests was 10−10+20+20=40points.The average di ﬀerence is 404=10points.8.(A)Because all of the cookies have the same thickness,only the surface area of their shapes needs to be considered.The surface area of each of Art’strapezoid cookies is 12·3·8=12in 2.Since he makes 12cookies,the surface area of the dough is 12×12=144in 2.Roger’s rectangle cookies each have surface area 2·4=8in 2;therefore,he makes 144÷8=18cookies.Paul’s parallelogram cookies each have surface area 2·3=6in 2.He makes 144÷6=24cookies.Trisha’s triangle cookies each have surface area 12·4·3=6in 2.She makes144÷6=24cookies.So Art makes the fewest cookies.9.(C)Art’s 12cookies sell for 12×$0.60=$7.20.Roger’s 18cookies should cost $7.20÷18=$.40each.ORThe trapezoid’s area is 12in 2and the rectangle’s area is 8in 2.So the cost of a rectangle cookie should be 812 60c |=40c |.10.(E)The triangle’s area is 6in 2,or half that of the trapezoid.So Trisha willmake twice as many cookies as Art,or 24.11.(B)Thursday’s price of$40is increased10%or$4,so on Friday the shoes aremarked$44.Then10%of$44or$4.40is taken oﬀ,so the price on Monday is$44−$4.40=$39.60.ORMarking a price10%higher multiplies the original price by1.1,and reducinga price by10%multiplies the price by0.9.So the price of a pair of shoes thatwas originally$40will be$40×1.1×0.9=$39.60.12.(E)If6is one of the visible faces,the product will be divisible by6.If6isnot visible,the product of the visible faces will be1×2×3×4×5=120, which is also divisible by6.Because the product is always divisible by6,the probability is1.13.(B)A cube has four red faces if it is attached to exactly two other cubes.The four top cubes are each attached to only one other cube,so they haveﬁve red faces.The four bottom corner cubes are each attached to three others, so they have three red faces.The remaining six each have four red faces. 14.(D)As given,T=7.This implies that F=1and that O equals either4or5.Since O is even,O=4.Therefore,R=8.Replacing letters with numeralsgives7W4+7W414U8W+W must be less than10;otherwise,a1would be carried to the next column,and O would be5.So W<5.W=0because W=U,W=1 because F=1,W=2because if W=2then U=4=O,and W=4 because O=4.So W=3.The addition problem is734+734146815.(B)There are only two ways to construct a solid from three cubes so thateach cube shares a face with at least oneother:andNeither of these conﬁgurations has both the front and side views shown.The four-cube conﬁguration has the required front and side views.Thus at least four cubes are necessary.FRONT SIDE1321Question:Is it possible to construct a ﬁve-cube conﬁguration with these front and side views?16.(D)There are 2choices for the driver.The other three can seat themselvesin 3×2×1=6di ﬀerent ways.So the number of seating arrangements is 2×6=12.17.(E)Because Jim has brown eyes and blond hair,none of his siblings canhave both blue eyes and black hair.Therefore,neither Benjamin nor Tevyn can be Jim’s sibling.Consequently,there are only three possible pairs for Jim’s siblings –Nadeen and Austin,Nadeen and Sue,or Austin and Sue.Since Nadeen has di ﬀerent hair color and eye color from both Austin and Sue,neither can be Nadeen’s sibling.So Austin and Sue are Jim’s siblings.Benjamin,Nadeen and Tevyn are siblings in the other family.18.(D)In the graph below,the six classmates who are not friends with Sarah orwith one of Sarah’s friends are circled.Consequently,six classmates will not be invited to the party.19.(C)A number with 15,20and 25as factors must be divisible by their leastcommon multiple (LCM).Because 15=3×5,20=22×5,and 25=52,the LCM of 15,20and 25is 22×3×52=300.There are three multiples of 300between 1000and 2000:1200,1500and 1800.20.(D)Note that in the same period of time,the hour hand moves 112as far asthe minute hand.At 4:00a.m.,the minute hand is at 12and the hour hand isat 4.By 4:20a.m.,the minute hand has moved 13of way around the clock to4,and the hour hand has moved 112×13=136of the way around the clock from4.Therefore,the angle formed by the hands at 4:20a.m.is 136·360◦=10◦.ORAs the minute hand moves 13of the way around the clock face from 12to 4,the hour hand will move 13of the way from 4to 5.So the hour hand willmove 13of 112of 360◦,or 10◦.21.(B)Label the feet of the altitudes from B and C as E and F respectively.Considering right triangles AEB and DF C ,AE =√102−82=√36=6cm,and F D =√172−82=√225=15cm.So the area of △AEB is 12(6)(8)=24cm 2,and the area of △DF C is 12 (15)(8)=60cm 2.Rectangle BCF E has area 164−(24+60)=80cm 2.Because BE =CF =8cm,it follows that BC =10cm.AB C D108178E FORLet BC =EF =x .From the ﬁrst solution we know that AE =6and F D =15.Therefore,AD =x +21,and the area of the trapezoid ABCD is (8) 12[x +(x +21)] =164.So4(2x +21)=164,2x +21=41,2x =20,and x =10.22.(C)For Figure A,the area of the square is 22=4cm 2.The diameter of thecircle is 2cm,so the radius is 1cm and the area of the circle is πcm 2.So the area of the shaded region is 4−πcm 2.For Figure B,the area of the square is also 4cm 2.The radius of each ofthe four circles is 12cm,and the area of each circle is 12 2π=14πcm 2.The combined area of all four circles is πcm 2.So the shaded regions in A and B have the same area.For Figure C,the radius of the circle is 1cm,so the area of the circle is πcm 2.Because the diagonal of the inscribed square is the hypotenuse of a right triangle with legs of equal lengths,use the Pythagorean Theorem to determine the length s of one side of the inscribed square.That is,s 2+s 2=22=4.So s 2=2cm 2,the area of the square.Therefore,the area of the shaded region is π−2cm 2.Because π−2>1and 4−π<1,the shaded region in Figure C has the largest area.Note that the second ﬁgure consists of four small copies of the ﬁrst ﬁgure.Because each of the four small squares has sides half the length of the sidesof the big square,the area of each of the four small ﬁgures is 14the area of Figure A.Because there are four such small ﬁgures in Figure B,the shaded regions in A and B have the same area.23.(A)There are four di ﬀerent positions for the cat in the 2×2array,so afterevery fourth move,the cat will be in the same location.Because 247=4×61+3,the cat will be in the 3rd position clockwise from the ﬁrst,or the lower right quadrant.There are eight possible positions for the mouse.Because 247=8×30+7,the mouse will be in the 7th position counterclockwise from the ﬁrst,or the left-hand side of the lower leftquadrant.B24.(B)All points along the semicircular part of thecourse are the same distance from X ,so the ﬁrst part of the graph is a horizontal line.As the ship moves from B to D ,its distance from X decreases,then it increases as the ship moves from D to C .Only graph B has these features.25.(C)Let M be the midpoint of BC .Since △ABC is isosceles,AM is analtitude to base BC .Because A coincides with O when △ABC is foldedalong BC ,it follows that AM =MO =52+1+1=92cm.Also,BC =5−1−1=3cm,so the area of △ABC is 12·BC ·AM =12·3·92=274cm 2.A。

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Missing Three
transcribed by daysi (10.17.2012)
Jake Shimabukuro
'Grand Ukulele'

1/3
= 68
C Tuning
1=A2=E3=C
4=G

1
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3003003003002002002002003003003003
0

Uke

4
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2002002002003123123123123103102102
1

7
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3003003003002002002002007807807807
8

10
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33

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3

4
2/3

13
3333
33333333

5125125125123123123123123103103103
1

16
133332
3333
3333

2102102102102102102112113023023023
0

19
3333
333333
33

5015015015017007007007007257255255
2

22
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3143143143143143143143143103103103
1

25
3333
3333
3333

2102102102103003003003005125125125
1

3333
3333
3333
73473473473485585585585510771077107710
7

7
3/3

31
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1077107711771177128912891289128911771177117711
7

34
3333
3333

3333

128912891289128910771077107710777347347347
3

37
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8558558558555125125125127347345345
3

40
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3x
3333

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