Grade

Type of questions

Mathematics Senior High

92. 答えは合っているのですが、(文字を具体的な数字に書き換えて解き方を考えたので)うまく記述文は書けませんでした。仮にこれが記述問題だとしたら何割くらいの得点になりますか??

R 1 減少 重要 例題 92 既約分数の和 00000 pは素数m,nは正の整数でm<nとする。mとnの間にあって, pを分母と する既約分数の総和を求めよ。 $1=1 61=-5 7+58r 指針▷既約分数の和→全体の和から整数の和を除くという方針で求める。 まず,具体的な値で考えてみよう。 例えば,2と5の間にあって3を分母とする分数は 11 8 9 10 7 3'3' 3'3' (*) 解答 であり、既約分数の和は(*)の和から3と4を引くことで求められる。 このことを一般化すればよい。 gを自然数として, m<g p ① のうち、 - pn-pm-1 2 9 12 13 3, 3 pm<g<pnであるから g=pm+1,pm+2, よって 9_pm+1 pm+2 Þ þ P これらの和をS とすると これらの和を S2 とすると S2= が整数となるもの _=m+1,m+2, -< n を満たす 14 3' 3 n-m-1 2 -(m+n) S= (+ 24288 Les ass (n-1)-(m+1)+1 2 159), arc -(m+n) p S=(pn-1)-(pm+1)+1(om+1.pn-1)S=1/2"(a+1) SODUL P ...... pn-1 n-1 を求める ………, pn-1 -{(m+1)+(n-1)} 【同志社大] 1/2 (m+n){(n−m)p−(n−m)} 1/12(m+n)(n-m)(b-1) ゆえに 求める総和をSとすると, S=S-S2 であるから pn-pm-¹ (m+n)_n_m−¹(m+n) 2 2 (*)は等差数列であり、3と4は 2と5の間にある整数である。 「とんの間」であるから, 両端のとnは含まない。 < 初項 基本 89,90 pm+1 か 公差 1 等差数列。 GROER) 45.= n(a+1) mとnの間にある整数。 (全体の和) (整数の和) 523 3章 12 等差数列 委 Ja に

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English Junior High

③はat first になるんですけどどうやってとけばいいんでしょうか?なにか方法があれば教えて欲しいです

結化(Yuka), リリ 九里(M. Greenの英語の授業で発表を行いました。 発表を聞いたクリー ン先生は, 結花さんの発表についてコメントを書きました。 【 結花さんの発表】 【グリーン先生のコメント を読んで,後の1から8までの各問いに答えなさい。 sog vin 【結花さんの発表】 He Many people in Shiga have worked as volunteers. My grandfather is one of them. worked as a junior high school math teacher for many years and retired five years ago. He has worked as a volunteer at the community center since then. Many children go there to play and study together after school and on weekends. He helps them ( 1 ) every day. He always says that working for other people makes him happy. His words made me interested in volunteer work. bon OR I became a high school student and wanted to try something new. So I did volunteer work at the community center this summer. Now, I will talk about my experiences. I hope my speech will give you a chance to think about volunteer work. During summer vacation, I visited the community center. The community center 【used / many /is/ people/byl living in my city. And the volunteers do a variety of work. My first volunteer work was to take care of elderly people. I played some games and talked with them in the morning. Mr. Sato, one of the elderly men, said to me, "I had a good time today. I live alone and don't have so many chances to talk to other people, especially to young people like you. So I enjoyed talking with you." I was happy to hear that. In the afternoon, I saw a little foreign girl in the playroom. She was drawing a picture alone. ), I hesitated to talk to her because of my English. Then I remembered Mr. Sato's words. So I went to the girl and said, "Hi, I'm Yuka. You are good at drawing pictures. [4]" She smiled and showed me her picture. Then she said, "I will give this picture to my Japanese friend for her birthday. I want to write 'Happy Birthday!' in Japanese on the picture. Can you teach me how to write it?" I was glad to hear that. I taught her how to write it in hiragana. She practiced many times and looked very happy when she saw the picture after she finally finished 5[write] her message in Japanese. Then she said to me, "Thank you for helping me!" Her big smile made me very happy. These experiences reminded me of my grandfather's words. Before doing volunteer work, I thought that helping other people was to make them happy. However, I realized that helping other people made me happy,) too. So we can [ 6 ]. Now I'm looking forward to doing volunteer work again during spring vacation. Thank you for listening. (注) volunteer(s): ボランティアをする人 retire: 退職する community center: E play : 遊ぶ hesitate : ためらう chance : playroom: 【グリーン先生のコメント】 Your speech was great. I'm glad that you learned an important thing. I do volunteer work, too. I visit the city library every Saturday. I help foreign people there. Some foreign people don't understand Japanese. So I help them borrow books. Do you like to read books? The staff members are looking for someone who can read books to children. If you are interested, why don't we visit it together this Saturday?

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