Ponadto, każdy trójkąt opisany na okręgu można otrzymać w ten sposób. Pokażemy, że jeśli kąty środkowe oparte na cięciwach D E, E F, F D mają miary równe 120 °, to trójkąt opisany na okręgu, styczny do tego okręgu w punktach D, E, F jest trójkątem równobocznym. ∢ D O F = 180 ° - α, więc α = 180 ° - 120 ° = 60 °.
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Vay Tiền Nhanh. FLYING À LA CARTE A. The practice of à la carte pricing, that is, charging passengers for each service individually, for instance food and drinks or choosing a seat, is more and more common. The trend began with American Airlines introducing a fee for checked-in luggage and soon the ideas for other add-ons followed. With far fewer people flying because of the economic recession airlines are reluctant to raise fares and many companies are counting on this money more than ever. In fact, à la carte pricing has become so successful that experts are predicting it will be on the rise in the years to come. B. European carrier FlyWithUs has taken à la carte pricing to the extreme, introducing a per-minute fee for customers speaking to a company representative on the phone. That practice would probably never take off in the Experts predict the à la carte pricing structure will allow carriers to treat higher-paying passengers better than their penny-pinching neighbours. For example, a person who buys an in-flight meal, a headset, and a pillow is likely to get better service from the cabin crew. This has always been the case in first class, but it’s new to economy. C. Because fees vary from airline to airline – and only a few companies, like Southwest, still subscribe to the old-fashioned, all-inclusive approach – it takes a lot of work to figure out the total cost of a trip. You have to do a lot of math but if you book online, don’t check-in a bag, and skip the meal, you’re probably paying less than if the airlines had simply raised fares. And according to a poll conducted last year people are becoming more comfortable with the system for that reason. Fifty-three percent of the respondents said they’d prefer to buy the lowest-priced option and then add services than go for a higher priced all-inclusive fare. adapted from
W takich zadaniach trzeba przeczytać tekst, a po każdym akapicie dobrze jest podsumować sobie w myśli, o czym on jest (zdanie lub dwa). W tekście pojawiają się wskazówki - zwykle nie są one odpowiedzi to: już w pierwszym zdaniu: "(...) in such a way that the endeavour would not have any negative impact on the ecosystem.". Później czytamy o przykładach na to, jak to zostało fragmentu, który będzie mówił o jakimś wysiłku, trudnościach. Akapit B. zawiera takie zdanie:"The task of putting up the structure turned out to be physically and logistically demanding.". Kolejne zdanie wyjaśnia, co takiego należało pierwsze zdanie nawiązuje do rodzaju terapii, w drugim zdaniu jest ona ostatnim akapicie czytamy zdanie: "It may seem unbelievable, but the hotel room will eventually turn into a coral reef itself.", które jest swego rodzaju zapowiedzią.
Tradycyjnie język angielski był najczęściej wybieranym językiem obcym na maturze na poziomie podstawowym. Także na poziomie rozszerzonym zdawało go najwięcej uczniów, bo w całej Polsce aż 146 tys. maturzystów. To ponad połowa wszystkich osób, które wybrały na maturze 2018 jakiś przedmiot na poziomie rozszerzonym. Matura 2018 z języka angielskiego na poziomie rozszerzonym zaczęła się o godz. 14. Maturzyści na napisanie testu mieli 150 minut. Sprawdź w galerii zdjęć arkusze z matury rozszerzonej z angielskiego. Takie same można też znaleźć na stronie Centralnej Komisji Egzaminacyjnej. Czekamy na Wasze sugerowane odpowiedzi. Możecie je dodawać w komentarzach do artykułu. Zadanie 1. (0–3) Usłyszysz dwukrotnie trzy teksty. Z podanych odpowiedzi wybierz właściwą, zgodnąz treścią nagrania. Zakreśl jedną z liter: A, B albo C. Tekst 1. The man is callingA. a travel agent’ a website administrator’s a radio station. ODPOWIEDŹ PRAWIDŁOWA C Tekst 2. Which of the following is stated in the text as an opinion, not a fact?A. The consumption of potatoes has gone down due to changing Changing the way potatoes are advertised will influence buyers’ The majority of consumers are unaware they eat fewer potatoes. ODPOWIEDŹ PRAWIDŁOWA B Tekst 3. Which is the best headline for the story?A. DISHONEST PRACTICE OF A COMPANYB. BORING TEXT WORTH READINGC. MISTAKE THAT COST $1000 ODPOWIEDŹ PRAWIDŁOWA B Zadanie 2. (0–4) Usłyszysz dwukrotnie cztery wypowiedzi uczestników akcji ekologicznych. Do każdejwypowiedzi ( dopasuj odpowiadające jej zdanie (A–E). Wpisz rozwiązaniado tabeli. Uwaga: jedno zdanie zostało podane dodatkowo i nie pasuje do żadnej wypowiedzi. This speakerA. thinks that he/she convinced people that being eco-friendly saves explains why wasting water is harmful to the alerted the authorities to a possible environmental quotes a figure which shows how effective his/her information campaign recommends keeping a record of your eco-friendly activities. E A C D Zadanie 3. (0–5) Usłyszysz dwukrotnie wywiad na temat High Line, jednego z parków w Nowym podanych odpowiedzi wybierz właściwą, zgodną z treścią nagrania. Zakreśl jednąz liter: A, B, C albo D. The High Line is different from the other parks in New York because A. it runs above street it has a great variety of rare it was constructed along a straight horizontal it was built along a railroad track that had been demolished. ODPOWIEDŹ PRAWIDŁOWA A The High Line was created thanks to A. people protesting against closing a railway a campaign launched by the railroad track a charity event organized by the determination of the local residents. ODPOWIEDŹ PRAWIDŁOWA D The main objective for the architects was to A. provide the area with appropriate select plants that create a mysterious design a safe space for ensure a sufficient amount of light for the plants. ODPOWIEDŹ PRAWIDŁOWA C The High Line can be considered environmentally friendly because A. no paving has been laid rainwater is used in an efficient a significant carbon reduction has been noted around 85% of construction materials have been recycled. ODPOWIEDŹ PRAWIDŁOWA B In the interview, James talks about A. various architectural trends in designing the future of post-industrial sites turned into the means to encourage architects to create original the origins of the park and the challenges in making it a reality. ODPOWIEDŹ PRAWIDŁOWA D Zadanie 4. (0–4) Przeczytaj tekst, który został podzielony na trzy części (A–C) oraz pytania go dotyczące ( Do każdego pytania dopasuj właściwą część tekstu. Wpisz rozwiązania do tabeli. Uwaga: jedna część tekstu pasuje do dwóch pytań. In which paragraph does the author provide an explanation of a term essential for understanding how the gameworks? B mention ideas for making use of the game in real life? C explain how the game adjusts to the players’ reactions? A refer to a device necessary to monitor the player’s anxiety? B A SCARY GAME A. In the depths of a haunted house, something is following you. It’s getting closer, you cansense it creeping up behind you. Luckily, you can make the ghosts recede. All you have todo is take control of your emotions. You’re in Nevermind, an unusual video game developedby Erin Reynolds. To complete each level, the players have to overcome their fear. If theylet stress get the better of them, the screen will get shakier and the feeling of imminent dangerwill intensify. If they manage to calm down, for instance, by slowing down their breathing,the game will ease up. B. Reynolds started working on Nevermind when she was in an interactive media master’sprogram at the University of Southern California in 2009. She was fascinated bybiofeedback, which is a process based on technology that reads the player’s heartbeat, facialexpressions or eye movement, and decided to apply it in the game she was developing forher thesis. In order for the game to read physiological responses, the player has to weara heart rate sensor, which detects the fear or tension that one is feeling at any given the case of games like this, where emotions come into play, the outcomes are less obviousthan in the case of conventional games. C. There has been a lot of talk in the video game industry about playing games for more thanjust entertainment. While most horror video games seek to provide just an exciting thrill,Nevermind has greater ambitions. Reynolds and her team are hoping it can be developed asa tool to teach people how to manage anxiety and improve their state of mind. The aim, saysErin, is for players to practise being mindful of their stress level and learn how to stop theirfears from taking control in nerve-wracking situations. adapted from Zadanie 5. (0–4) Przeczytaj tekst, z którego usunięto cztery zdania. Wpisz w każdą lukę ( literę,którą oznaczono brakujące zdanie (A–E), tak aby otrzymać spójny i logiczny jedno zdanie zostało podane dodatkowo i nie pasuje do żadnej luki. ENSURING SAFE OPERATION OF DRONES The airspace over London is among the most crowded in the world and the soaring popularityof small unmanned drones has added to the congestion. E If we want to prevent suchincidents in the future, stricter enforcement of regulations and better technology are scale of the problem is unknown. Sales of drones in Britain and many other countries arenot counted but we know the trend is increasing. America’s Federal Aviation Administrationreckons consumer sales could grow from million in 2016 to as many as million by encounters are also on the rise and many of them can potentially be hazardous. Britain’sAirprox Board, which is responsible for collecting reports, found 23 near-misses betweendrones and aircraft between April and November last year. Today no one is sure how muchdamage a drone could do to a jet airliner. B What’s more, many of them have metalcomponents, including lithium-ion batteries, which can explode if for operating drones are meant to ensure that collisions do not happen. A Notcomplying with these regulations is a criminal offence. However, rules alone will not stopaccidents. Stricter control is necessary. In America, recreational users are required to registertheir drones online and are given an identification number for their craft. Failure to registercould mean a fine of up to $250,000. Schemes to help identify drone operators are also plannedin can also help keep drones out of trouble. D Another method is a “virtualtether”, which in effect puts a drone on an invisible leash to prevent it from flying too far fromits operator. adapted from A. In Britain and America drones are not supposed to go higher than 150 metres and should bekept in sight by their operators at all times. B. Those the size of a large insect are probably nothing to worry about, but there are somewhich can weigh 20 kilos. C. But neither various rules nor the most modern technology will stop those intent ondeliberately causing harm. D. Some drone-makers are restricting the speed drones can reach, as well as installing softwarewhich programs a drone’s GPS to prevent flights near airports or nuclear power stations. E. As a result, there have been many close encounters between drones and planes and oneminor collision, thankfully with negligible damage. Zadanie 6. (0–5) Przeczytaj dwa teksty na temat podejmowania pracy. Z podanych odpowiedzi wybierzwłaściwą, zgodną z treścią tekstu. Zakreśl jedną z liter: A, B, C albo D. Tekst 1. THE JOB War was declared at eleven-fifteen and Mary North signed up at noon. She did it hurriedly atlunch, before telegrams came, in case her mother said no. When she reached London, she wentstraight to the War Office. The ink was still fresh on the map they issued her. She rushed acrosstown to her post, desperate not to miss a minute of the war. Any moment now it would start –this dreaded and wonderful thing – and it could never be won without her. The morning rushmatched her mood. In London, thousands of young women were hurrying to their newpositions, on orders from Whitehall, and Mary joined gladly the great flow of the War Office had given no further details, and that was a good sign. They might make heran attaché to a general’s staff. It was even rumoured that they needed spies, which was stopped a cab and showed her map to the driver. He held it at arm’s length and looked atthe red cross that marked where she was to report.“This big building, in Hawley Street?”“Yes,” said Mary.“It’s Hawley Street School, isn’t it?”“I shouldn’t think so. I’m to report for war work, you see.”“Oh. Only I don’t know what else it could be around there but the school. The rest is justhouses.”Mary opened her mouth to argue, then stopped. Because, of course, they didn’t have a glitteringtower labelled MINISTRY OF WILD INTRIGUE. Naturally they would have her reportsomewhere insignificant. How silly of me to chatter on like this, she thought.“Right then,” she said. “I expect I am to be made a schoolmistress.”The man nodded. “Makes sense, doesn’t it? Half the schoolmasters in London must be joiningup for the war.”“Then, let’s hope the cane proves effective against the enemy’s tanks.”Arriving at the school, Mary felt observed. She was careful to adopt the expression ofan ordinary young woman for whom the prospect of work as a schoolteacher would be was her first test, after found the headmistress’s office and introduced herself. Miss Vine nodded but wouldn’tlook up from her desk.“North,” said Mary again.“Yes, I heard you quite well. You are to take Kestrel Class. Begin with the register. Read it andlearn the students’ names.”“Very good,” said Mary.“Have you taught before?”“No,” said Mary, “but I can’t imagine there’s much to it.”“Your imagination is not on the syllabus. Be firm, organized, give no liberties, and do notunderestimate the importance of the child forming letters properly. As the hand, the mind.”Mary felt that the “headmistress” was overdoing it and decided to mention it to the woman’ssuperior, once she discovered who it was. Although in mitigation, the woman’s attention todetail was impressive. Here were pots of sharpened pencils, tins of drawing pins and a tidystack of hymnbooks standing neatly on her from Everyone Brave is Forgiven by Chris Cleave After her visit to the War Office, MaryA. lost her way in the rushing got scared of the responsibility her assignment headed for the place which had been indicated to still felt annoyed by her mother’s reaction to her decision. ODPOWIEDŹ PRAWIDŁOWA C During the taxi ride, MaryA. insisted the driver should change the realized she had better not discuss her wondered why the driver was so inquisitive about her expressed her anxiety about the job interview she was about to attend. ODPOWIEDŹ PRAWIDŁOWA B Miss Vine advised MaryA. to keep discipline in the to develop the imagination of her to neatly arrange her belongings on the to write the students’ names clearly in the register. ODPOWIEDŹ PRAWIDŁOWA A Tekst 2. TO INTERVIEW OR NOT TO INTERVIEW? A friend of mine once had a curious experience at a job interview. Excited about the possibleposition, she arrived five minutes early and was immediately ushered into the interview roomby the receptionist. Following an amicable discussion with a panel of interviewers, she wasoffered the job. Afterwards, one of the interviewers remarked how impressed she was that myfriend could be so composed after showing up 25 minutes late for the interview. As it turnedout, my friend had been told the wrong start time by half an hour. She remained composedbecause she didn’t know she was late. My friend isn’t the type of person who would haveremained cool if she had known she was late, but the interviewers reached the oppositeconclusion. Of course, they could have also concluded that her calmness showed way, they would have been wrong to draw conclusions about her future performance inher work based on her behaviour at the interview. In this case, the outcome of the interview wasbeneficial for the applicant. But it doesn’t have to end that is a widespread problem. Employers like to use free-form, unstructured interviews to “getto know” a job candidate. Such interviews are also increasingly popular with admissionsofficers at universities. But, as in my friend’s case, interviewers typically form strong butunwarranted way to change this is to develop an interview protocol based on a careful analysis of whatis being looked for in the candidate. Interviews should be structured so that all candidatesreceive the same questions, a procedure which makes interviews more reliable and morepredictive of job success. The employer should also make sure to include a number of questionswhich test job-related from The author mentions his friend’s interview experience toA. show that a successful interview is linked to future performance in the suggest that an interview may give a misleading image of a compare different factors which influence a candidate’s performance at an prove that each interviewer assesses the same candidate differently. ODPOWIEDŹ PRAWIDŁOWA B In the last paragraph, we learnA. in what way candidates’ behaviour changes when the job interview is why structured interviews are not recommended for testing some what alternative recruitment procedures should replace what improvements could be made to job interviews. ODPOWIEDŹ PRAWIDŁOWA D Zadanie 7. (0–4) Przeczytaj tekst. Z podanych odpowiedzi wybierz właściwą, tak aby otrzymać logicznyi gramatycznie poprawny tekst. Zakreśl jedną z liter: A, B, C albo D. YOU CAN’T REALLY CRY IN SPACE You can do some cool things in space. Like sleep in zero gravity, for example. Or eat in zerogravity. But there are plenty of things astronauts can’t do because of this weightlessenvironment. One of them is crying. When astronauts are sad or happy, they will _____ by shedding a tear, simply because it is astronaut Chris Hadfield explains that tears can _____ in space, but it isn’t a pleasantexperience. A ball of liquid accumulates in the eye, but without gravity, it can’t flow downwardslike it would on Earth. According to Hadfield, space tears as it would be to _____ in space without the ability to cry, we’d miss showering evenmore. _____ a traditional showerhead doesn’t work in a weightless environment,the International Space Station has no shower. The poor astronauts just have a spray nozzle andwashcloths to clean up with. adapted from A. make it throughB. leave it aloneC. give it a goD. let it show ODPOWIEDŹ PRAWIDŁOWA D produceB. be producedC. be producingD. have produced ODPOWIEDŹ PRAWIDŁOWA B floatB. raiseC. dropD. lift ODPOWIEDŹ PRAWIDŁOWA A WhetherB. AlthoughC. SinceD. Meanwhile ODPOWIEDŹ PRAWIDŁOWA C Zadanie 8. (0–4) Przeczytaj tekst. Uzupełnij każdą lukę ( jednym wyrazem, tak aby powstałspójny i logiczny tekst. Wymagana jest pełna poprawność gramatyczna i ortograficznawpisywanych wyrazów. THE FEARFUL OSTRICH – OR SO THE LEGEND GOES Pliny the Elder, an ancient Roman philosopher, once wrote that the ostrich, being profoundlystupid, sticks its head into the sand at the first sign of danger and considers ITSELFinvisible. Here’s the truth about this magnificent, yet infamously ridiculed bird. Ostriches donot bury their heads when faced with danger. Any species that did so NOT have been able to survive for more than 120 million years. They do,however, stretch their long necks flat on the ground in the hope that potential predators won’tspot them. In this position, they can blend in with the terrain. From a DISTANCE,their heads look as if they were buried in the sand. Ostriches have many natural defences,including their super speed. Endurance isn’t an issue for these birds, either. They can sprint ata brisk 30 miles per hour for a full 10 miles straight, if needed. It is surprising that we think ofthem AS timid or fearful. adapted from Zadanie 9. (0–4) Wykorzystując wyrazy podane drukowanymi literami, uzupełnij każde zdanie z luką, takaby zachować sens zdania wyjściowego ( W każdą lukę można wpisaćmaksymalnie cztery wyrazy, wliczając wyraz już podany. Wymagana jest pełnapoprawność ortograficzna i gramatyczna wpisywanych fragmentów nie zmieniaj formy podanych wyrazów. The demolition company has destroyed the bridge HAS BEEN PULLED DOWNby the demolition company. She goes swimming every morning regardless of the goes swimming every morning NO MATTER WHATthe weather is like. I’m sure the Browns considered their decision to adopt the dog very Browns MUST HAVE CONSIDERED their decision to adoptthe dog very carefully. Parting from his parents was not easy for my nephew found IT HARD TO PART fromhis parents. Zadanie 10. (0–13) Wypowiedz się na jeden z poniższych tematów. Wypowiedź powinna zawierać od 200do 250 słów i spełniać wszystkie wymogi typowe dla formy wskazanej w temat, który wybrałeś(-aś), zakreślając jego numer. 1. Coraz częściej pojawiają się propozycje wprowadzenia zakazu wjazdu samochodów docentrów miast. Napisz rozprawkę, w której przedstawisz dobre i złe strony wprowadzeniatakiego zakazu. 2. Bieganie stało się bardzo popularne wśród osób dbających o swoją kondycję. Napiszartykuł, w którym omówisz przyczyny popularności tej formy aktywności fizyczneji zrelacjonujesz ciekawą imprezę dla biegaczy, w której brałeś(-aś) udział. Matura 2018 angielski rozszerzony. Opinie internautów Jak poszła Wam matura 2018 z rozszerzonego języka angielskiego? Prezentujemy wybrane opinie użytkowników Twittera: "Śmieje sie bo powtórzyła sie sytuacja z egzaminu gimnazjalnego tylko że tym razem z artykułem. Temat rozprawki mi nie podpasował więc... A artykuł pisałam tylko raz..." "Rozszerzony angielski był dla mnie gorszy niż matma" "I tak uważam że ten angielski to była najprzyjemniejsza matura" "Mama mojej koleżanki siedziała w komisji na angolu i jakiś ziomek otworzył arkusz i zdziwiony powiedział: Boże tu jest wszystko po angielsku" "Według mnie była dość trudna, a słuchania w ogóle nie rozumiałam. Przerobiłam dużo arkuszy z angielskiego rozszerzonego i tamte były dużo łatwiejsze." "Rozszerzony angielski to był dramat gorszy, niż Dziady Mickiewicza" Matura 2018 Angielski. Jak poszło licealistom z Zamoya?
przeczytaj tekst który został podzielony na trzy części