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Mathematics Junior High

(3)Bさんの式をグラフに表すとどうなりますか?

一次関数と方程式 (福岡) 東西に一直線にのびたジョギングコース上に, P地 2400% 点と, P地点から東に540m離れたQ地点と, Q地点 から東に1860m離れたR地点とがある。 Aさんは, このジョギングコースを通ってP地点とR地点の間を 1往復した。 Aさんは, P地点からQ地点まで一定の速さで9分 間歩き, Q地点で立ち止まってストレッチをした後, R地点に向かって分速 150mで走った。 Aさんは,P 地点を出発してから28分後にR地点に着き、 すぐに P地点に向かって分速150mで走ったところ, P地点 を出発してから44分後に再びP地点に着いた。 Q 540円 0 9 28 44 図は,AさんがP地点を出発してからx分後にP地点からym離れていると するとき, P地点を出発してから再びP地点に着くまでのxとyの関係をグラ フに表したものである。 次の問いに最も簡単な数で答えよ。 (1) AさんがP地点を出発してからQ地点に着くまでの歩いた速さは分速何m か求めよ。 (1) 分速 60 m 540mの距離を9分で歩いているから, 540÷9=60(m/分) 1860~150mmで走った時間 (2) 15 分 36 秒後 (2) AさんがQ地点からR地点に向かって走り始めたのは, P地点を出発してか ら何分何秒後か求めよ。 (3) 1800 m 1860 78 3 28- 3 -=150(分) 3 1分=60秒x=36秒 じゃん = 150 5 (3) Bさんは, AさんがP地点を出発した後しばらくして, R地点を出発し,こ のジョギングコースを通ってP地点まで分速70mの一定の速さで歩いた。 Bさんは, P地点に向かう途中で, R 地点に向かって走っているAさんとす れちがい,AさんがP地点を出発してから39分後に, P地点に向かって走っ ているAさんに追いつかれた。 AさんとBさんがすれちがった地点は, P地点から何m離れているか求め よ。 BさんがAさんに追いつかれた地点=Aさんが出発してから39 分後 にいる地点→44分後にP地点に着いたから、 P地点から5(分)×150(m/分)=750 (m)の地点。 BさんがR地点からP地点に向かうときの式は,y=-70x+αで, 750=-70×39+aa=3480より,y=-70x+3480X AさんがQ地点からR地点に向かうときの式は,y=150x+bで, 2400=150×28+b b = -1800 より,y=150x-1800 2人がすれちがったのは, -70x+3480=150x-1800 これを解いて, x=24より, Aさんが出発してから24分後。 (2) Q地点からR地点まで 走った時間は1860 150 =12.4(分)=12分24秒。 この時間を到着した28分 後から引く。 (3) Aさんが出発してから 24分後の位置は, 150×24-1800=1800(m) より, P地点から1800m の地点。

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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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