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Mathematics Senior High

(1)(2)ともにまったく分からないので教えてください!

[大] 大] 重要 例題 9 二項定理の利用 (1) 101 ' の下位5桁を求めよ。 (2)2 00で割った余りを求めよ。 CHART & THINKING のののの 23 基本 (1),(2) ともに, まともに計算するのは大変。 (1) は,次のように変形して、 二項定理を利用する。 1011= (100+1)100= (1+102) 100 展開した後, 各項に含まれる 10 に着目し, 下位5桁に関係する箇所のみを考える。 (2)も二項定理を利用するが,どのようにすればよいだろうか? →900=302 であることに着目し,2930-1 と変形して考えよう。 解答 (1) 1011=(100+1)100= (1+102) 100 =1+100C1・102+100C2・10+100C3・10°+100C4・10°++10200 =1+100C1・102+100C2・10+10%(100Cs+100C4 ・ 102 +... +10194) ここで, a=100C3 +100C4・102 +…+10194 とおくとaは自然数で 101100 = 1+10000 + 49500000 +10°α =10001+49500000 +10°a =10001+105(495+10a) 10 (495+10a) の下位5桁はすべて 0 である。 よって, 101100 の下位 5桁は 10001 (2) 2945(30-1)45=(-1+30)45 =(-1)^5+45Ci (−1)44・30+45C2(-1)43・302+45C3(-1)42・303 ■■ 1章 1 3次式の展開と因数分解,二項定理 分散式は、 +…+45C44(-1)・304+3045 第3項以降の項はすべて 302=900で割り切れる。 また,(-1)45=-1, -1) =1であるから -1+45・1・30=1349=900・1 +449 よって, 2945 を900で割った余りは 449 大←第1項と第2項の和は 900 より大きい。 計算への応用 INFORMATION 上と同じ考え方で, 複雑な計算を暗算で行うことができる。 例えば,9992 は 9992=(1000-1)=1000000-2000+1=998001, 4989×5011 は 4989×5011=(5000-11)×(5000+11)=50002-11=25000000121=24999879 と計算 できる。

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English Senior High

投げやりです。すいません。英語皆無なので代行してください。

【必答問題 5 日常使う物のデザインをする際には標準化 (standardization) という方法がある。 という内容に続く次の英文を読んで、あとの問いに答えよ。(配点44) If we examine the history of advances in all technological fields, we see that some improvements come naturally through the technology itself, while others come through standardization. The early history of the automobile is a good example. The first cars were very difficult to operate. They required strength and skill beyond the abilities of many. Some problems were solved through automation. Other aspects of cars and driving were standardized through the long process of international standards committees: . On which side of the road to drive (constant within countries) country, but variable across On which side f the car the driver sits (depends upon which side of the road the car is driven) -The (2) of essential components: steering wheel, brake, clutch, and accelerator (the same, whether on the left- or right-hand side of the car) Standardization is one type of cultural constraint. With standardization, once you have learned to drive one car, you feel confident that you can drive any car, anyplace in the world. Standardization provides a major breakthrough in usability. I have enough friends on national and international standards committees to realize that the process f determining an internationally accepted standard is laborious. Even when all members agree on the merits of standardization, the task of selecting standards becomes a long, political issue. A small company can standardize its products without too much difficulty, but it is much more difficult for an industrial, national, or international body to agree to standards. There even exists a standardized procedure for establishing national and international standards. organizations works on standards. First, a set of national and international Then when a new standard is proposed, it must work its way through each organization's approval process. Standards are usually the result of a *compromise among the various competing positions, which can often be an inferior compromise. Sometimes the answer is to agree on (4 ). Look at the existence I both metric and *English units; of left-hand- and 18 right-hand-drive automobiles. There are several international standards for the *voltages and *frequencies of electricity, and several different kinds of electrical plugs and sockets- which cannot interchanged. With all these difficulties and with the continual advances in technology, are standards really necessary? Yes, they are. Take the everyday, clock. It's standardized. Consider how much trouble you would have telling time with a backward clock, where the hands revolved "counterclockwise." A few such clocks exist, primarily as humorous conversation pieces. When a clock truly violates standards, such as (the one in Figure 1, it is difficult to determine what time is being displayed. Why? The logic behind the time display is identical to that of conventional clocks: there are only two differences - the hands move in the opposite direction (counterclockwise) and the location of "12," usually at the top, has been moved. This clock is just as logical as the standard one. It. bothers us because we have standardized on a different scheme, on the very definition of the term clockwise. Without such standardization, clock reading would be more difficult: you'd always have to figure out the "mapping. E) compromise *metric メートル法の *English units イギリスの計量法(ヤードボンド法) *frequencies of electricity 電気の周波数 voltages E *mapping 対応づけ (2つのものの間の関係を意味する専門用語) 問1 下線部(1)の内容を、 同じ段落の自動車の例に基づいて30字以内の日本語で答えよ。た だし、句読点も字数に数える。 問2 本文中の空所 (2) に入る語として最も適当なものを、次のア~エのうちから一つ 選び 記号で答えよ。 7 color イ location ウ price I sight (239) 問3 第2パラグラフ (Standardization is one type of ...) について 次の Question に対す る Answer となるように、空所に入れるのに最も適当なものを,次のア~エのうちから一 つ選び、 記号で答えよ。 Question: What is "a major breakthrough in usability" provided by standardization? Answer Because of standardization, you ( device of the same kind all over the world. 7 can apply what you have learned to イ can make cannot produce I cannot use what you have learned when using 問7 下線部(5)が表す図 (Figure 1)として最も適当なものを、次のア~エのうちから一つ選 び記号で答えよ。 11 12 1 12 ) any machine or 10 2 10% 9 3 1 5 6 問4 下線部(3)の示す内容を, 40字程度の日本語で答えよ。 ただし, 句読点も字数に数える。 ウ 11 6 1 問5 次の文を第3パラグラフ (Ihave enough friends...) に入れるとき,本文中の①~ のうちのどの位置に入れるのが最も適当か、 次のア~エのうちから一つ選び, 記号 で答えよ。 9 3 Each step is complex, for if there are three ways of doing something, then there are sure to be strong proponents of each of the three ways, plus people who will argue that it is too early to standardize. 70 問8 最終パラグラフ (With all these difficulties...) の内容をもとに, 次の Question に2 語程度の英語一文で答えよ。 Question: According to the writer, why is the standardization of the everyday clo necessary? イ 2 ウ H O 問6 本文中の空所 (4) に入れるのに最も適当なものを、次のア~エのうちから一つ選び 記号で答えよ。 7 a single standard 1 several different standards ウ the same standard I too few standards <<-20-> <-21->

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English Junior High

問4の並び替えはどのように考えて解けばいいのですか?

3 次は、高校生のHayato (男性) が書いた文章です。 これを読んで, 間 1~ 問6に答えなさい。 *印の ついている語句には、本文のあとに〔注〕があります。(34点) I love bicycles. I've been using my bicycle since I was a junior high school student. One morning, however, I got scared on my way to school. A car passed me really fast. It almost touched my bicycle. There are only a few *bicycle lanes in my town, and I think some of those lanes are too narrow for a bicycle to use safely. I wanted to make our streets safer for cyclists, and then I read about "Copenhagen, Denmark in a bicycle "magazine. It's Aas one of the most *bicycle-friendly cities in the world. I learned more about the city on the Internet and thought it's really a wonderful city for cyclists. I'd like to write about it. In Denmark. 90% of the people have a bicycle, and in Copenhagen, 49% of the workers and students go to work or school by bicycle (27 % go by car, 18% by bus or train, and 6% on foot). Many streets in the city have bicycle lanes and bicycle traffic lights, and there is even a bicycle bridge named "The Bicycle "Snake." I was "envious of the cyclists in Copenhagen because the city is bicycle-friendly in every way. You can ride a bicycle at 20 km/h without B at red lights even when the traffic is busy, and you can bring your bicycle on trains and buses. In the 2019 ranking of "Bicycle-friendly Cities," Copenhagen was No. 1 and Tokyo was No. 16. ② A lot of people were using cars in Copenhagen, too, but around 1980, the city started making better roads and rules for bicycles, and the number of bicycle users started increasing. Around 2017, the number of bicycle users in Copenhagen became almost the same as the number of car users. I was also surprised to see that the number of bicycle accidents in Copenhagen was "lower than in other large cities. I think it's because the roads (cyclists for safe/follow/ and/ are cyclists the traffic rules. In many Japanese road safety classes, children are taught that roads are dangerous and sometimes shown shocking scenes of traffic accidents, and they learn that they must follow traffic rules when they ride a bicycle. But in Denmark. children play games in their classes. They can have fun when they learn traffic rules. Now there is a movement in Japan that gives children road safety classes in this way. Bicycles are cheaper than cars and healthier. They're also friendlier to the environment. The United Nations expects that about 70% of the people in the world will live in big cities by 2050. Such a large number of people will cause some problems, and more traffic is one of them. Copenhagen is a very good role model for Sustainable cities and communities" which is one of the U.N.'s "Sustainable Development Goals. I think Copenhagen's ideas to increase the number of bicycle users are wonderful because people there don't have to stop doing anything. They choose bicycles because the city is designed in a way that using a bicycle is more convenient than using a car, bus. or train. However, after the number of bicycle users increased, more parking spaces are needed there. (3 To make a bicycle-friendly city, just making more bicycle lanes isn't enough. We must think about the future of our cities. Denmark has made a lot of great plans and has more exciting plans for the future. For example, it's going to build a "bicycle" "superhighway" between cities and other areas by around 2045. I definitely want to ride a bicycle on it some day! 〔注〕 be cared おびえて こわがって bicycle lane 自転車専用の車線. レーン cyclist ...... 自転車乗りの人、サイクリスト pass…………〜を追いこす。 通り過ぎる narrow ・・・・・・幅が狭い Copenhagen コペンハーゲン (Denmark 「デンマーク」の首都) magazine 雑誌 on foot... 徒歩で bicycle-friendly... 自転車にやさしい traffic light...信号 (traffic は 「交通 (量)」)

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English Senior High

緊急です! この1ページの答え教えてください🙏

(教科書 pp.52-59) Unit 4 Is your city sustainable enough? star n = 1. The Can- Do! Speak 都市問題について聞いた情報をもとに説明することができる。 都市問題を解決する方法について議論することができる。 Write 自分の住む地域の自治体に要望書を書くことができる。 Small Talk 4) How is the building in this picture different from an ordinary house? Do you think your town is comfortable for you and people of all ages? banihobnu Listen ai "but won" ansom bidro coll Riko and her cousin Yuri are talking online (Yuri is now a college student studying in Vauban, Germany). Listen to the conversation and fill in the blanks. Riko col mont hio daw blow ch Vauban Buildings: ⚫designed to consume less [ Cars: .2[ ]% of the residents: don't have a car the public transportation service ⚫not allowed to [ ] in the residential areas children: play safely in the [ ] Yuri is related Listen Again 1) Listen again, and fill in each blank below. 2) After that, choose one similar expression from (a) to (c). Communication Strategy ① 久しぶりに会った相手にかける言葉は? Riko: Hi, Yuri. How's your college life in Germany? (c) What's up? pane (a) It's a pleasure to meet you. (b) Long time no see. Communication Strategy ② 話題にさらに論点を加えるには? Yuri: Trams run every seven minutes along the main road, and residents have easy access to the stops. so that children can play safely in the streets. (a) Finally cars are not allowed to park in the residential areas (c) On top of that (b) In other words Sp You (@ in the wor haring ex 4210. and th Mbuisn Expla de6 eftor

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English Junior High

いの答えと考え方を教えてください。

5 10 15 20 25 30 The Olympics were held in Tokyo in 1964. A few years ago before the Olympics, Japan had a big problem. It was a problem of communication. Many foreign people didn't visit Japan, and we had only, Japanese signs. For example, words like "i" or "" were on toilet doors. These signs were not understood by many foreign people. Japanese people at that time needed to make signs in many different languages for foreign people. But when they put many words on one sign, the "letters became too small. They could not easily read the sign. They had to think of ) signs for foreign people. Mr. Masaru Katsumi, a leader of a design team for the Olympics, had a great idea. everyone /to/ was easy / thought / understand he forit pictures. He wanted to make picture signs. These signs are called *pictograms and are used in many places now. Picture 1 Picture 2 Picture 3 Look at these pictures. Picture 1 shows a shower. Picture 2, shows a toilet. Picture 3 shows a restaurant. Foreign people can easily understand what each picture shows. They had to make pictograms which everyone could understand without any trouble. When they started to make them, one of the pictograms was a shower. Many Japanese people didn't know about showers at that time and didn't have one at home. One of the designers didn't even know the word "shower." One officer had to explain how to use it with a photo of a shower. The designer made the pictograms through the officer's words. With a lot of trouble and hard work, twelve designers needed three months and made pictograms for the Olympics. When the last pictogram was finished, Mr. Katsumi said to all the designers, "You did a great job, but this work is not for us. We did it for all Japanese people. Please write your names on this paper." The paper said that they'd like to give up the *copyright to the pictograms. They wrote their names on the paper. They gave up the copyright. One of the designers said, "Mr. Katsumi hopes that many people in many places will use the pictograms in the future. Money from the copyright is not important to Mr. Katsumi. He is proud that he is one of the members who worked for the Tokyo Olympics." In 2020, we are going to have the Olympics in Tokyo. Our life will change a lot. What kinds of new signs or pictograms will we see around us? (E) letter pictogram ピクトグラム(絵文字) designer www. デザイナー officer 役人 copyright 著作権

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English Senior High

この文章を35~40単語でわかりやすく要約して欲しいです

The Story of Holly Butcher 目標時間2分11秒 act Part 1 haky A 本文をスラッシュ(/)の区切りに注意して読んでみよう。また、必要な書き込みをしよう A Note Before I Die ●込もう。 abioW weИ [1] I've had a lot of time / to think about life / these past few months, and I want to share/ some of my thoughts. It's a strange thing / to realize and accept / that you're mortal/ at the age けて単! 2b10W w9M of 26. But the clock keeps ticking / and I know / death is fast approaching. I always imagined myself growing old / with wrinkled skin and grey hair / after raising a beautiful and loving family. Even now / I still want that so bad / that it hurts. [2] Life is fragile, precious, and unpredictable, and each day is a gift, / not a given right. I'm 27 years old now. I love my life and I am happy. I don't want to leave the world, / but that decision is out of my hands. [3] I'm not writing “A Note Before I Die" / so that people will fear death. In fact, it's good/ that we are not constantly thinking / about its inevitability. For the most part, / death is often considered a "taboo" topic, / especially among young people. I want people to remember/ that we all suffer the same fate / in the end. So, stop worrying / about the little issues/ that cause meaningless stress / in everyday life. Whenever you start complaining / about unimportant things,/think about those people / who are actually facing serious problems / and be grateful/ that your problems are minor ones. Take a deep breath of the fresh air, / and be thankful/that you are able to breathe it in. 1. H OP 訳 2. 22 訳 3. 33 activity B 各段落のトピック

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