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English Junior High

3.4枚目が問題文、5枚目が答え、1.2枚目は問題を解くときに必要な文です。 なぜこの答えになるのかがわからないので教えてください。 解くのは大変だと思うので、一問だけでも大丈夫です。

2 次は, 高校1年生の Yusuke が書いた英文です。 これを読んで、 問1~間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) My father loves *dinosaurs and *fossils. He (he/them/in/collects/is/that/interested /so) dinosaur toys, small fossils and books about dinosaurs. I heard he tried to find fossils along the river with my grandparents when he was young. When I was younger, my family took me to the science museum every year. My father loved looking at the dinosaur fossils there, and he always explained them to me. So, I got interested in dinosaurs and fossils, too. My father has a restaurant near our house, and he displays some dinosaur teeth fossils in the restaurant. One day, he introduced one of his customers to me. The man, Mr. Shirai, also loved dinosaurs and fossils, and often visited museums all around the world, such as in America, Canada and China. He realized that my father was interested in the same things because of the fossils in the restaurant. They became good friends. One day in September, Mr. Shirai came to my father's restaurant and showed me a fossil. It was a beautiful fish fossil in a brown stone plate. I was surprised to see it, Mr. Shirai A me a lot about the fossil. He traveled to Germany to look for fossils, and he found many fossils there such as fish, animal bones and leaves. The area is very famous for "archaeopteryx fossils. I once saw a picture of the archaeopteryx fossil in a book, so I wanted to go to see the fossil in -4-

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Mathematics Undergraduate

多様体を構成するために、位相空間に完全アトラスを導入するところで質問です。 完全アトラスを導入するメリットとして、この文章の下線部を「異なる座標系を用いたのに同じ計算ができてしまうという問題が解消される」解釈したのですが、そこがよくわかりません。座標系を変えて計算する... Read More

1 Two n-dimensional coordinate systems & and ŋ in S overlap smoothly provided the functions on¯¹ and ŋo §¯¹ are both smooth. Explicitly, if : U → R" and ŋ: R", then ŋ 1 is defined on the open set ε (ur) → ° (UV) V and carries it to n(u)—while its inverse function § 4-1 runs in the opposite direction (see Figure 1). These functions are then required to be smooth in the usual Euclidean sense defined above. This condition is con- sidered to hold trivially if u and do not meet. Č (UV) R" Ĕ(U) n(UV) R" S n(v) Figure 1. 1. Definition. An atlas A of dimension n on a space S is a collection of n-dimensional coordinate systems in S such that (A1) each point of S is contained in the domain of some coordinate system in, and (A2) any two coordinate systems in ✅ overlap smoothly. An atlas on S makes it possible to do calculus consistently on all of S. But different atlases may produce the same calculus, a technical difficulty eliminated as follows. Call an atlas Con S complete if C contains each co- ordinate system in S that overlaps smoothly with every coordinate system in C. 2. Lemma. Each atlas ✅ on S is contained in a unique complete atlas. Proof. If has dimension n, let A' be the set of all n-dimensional coordinate systems in S that overlap smoothly with every one contained in A. (a) A' is an atlas (of the same dimension as ✅).

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English Junior High

かっこ1番がなぜアになるのかわからなくて、かっこ1番がはいる文はどういう意味の分になるのか教えて欲しいです

② 次の英文は,南アフリカ (South Africa)で,世界保健機関(WHO)が石けん (soap)について行ったプロ ジェクト (project) について述べたものです。 これを読んで、あとの問いに答えなさい。 子供に の <岩手改〉 Have you ever heard about “Hope Soapy? It's the nande for a project that WHO started in をうめいな石けん固形 2013. They gave transparent soap bars to children in the poorest part of South Africa. Children) の一部 there suffered from diseases like cholera and diarrhea. Those children lived by a lot of trash 病気のようなコレラかげり and also didn't have the ( 1 ) of washing their hands. At that time many people died of かんせんしょうの病気 those infectious diseases. 石けんを望む 固形 (中略) 高わい ゴシ “Hope Soap" gave another hope to people. Two years later, some seniors started making the 固形石けん 行った soap bars with the help of an NPO. For every soap bar, about 1 dollar goes to the NPO. They 少しの金 got the chance to get a little money. They are also happy to do something for other people. ( good ways / has / people / this project / in / changed). If you think about a problem from a different point of view, you will find a solution. A small idea can be a solution to a problem. Small things may make things better in your daily life. There are many people who need help around you. What can you do for them in your daily life? transparent 透明な bar(s) 固形 disease(s) 病気 cholera and diarrhea コレラや下痢 trash ゴミ die (d) of ~ ~が原因で亡くなる infectious 感染性の NPO 非営利組織 point of view 見方 daily 日常の (1) ① ( )に適する語を, ア~エから1つ選びなさい。 カスタム アcustom せっけい イ design 日記 ウ diary むだづかり I waste senior(s) 高齢者 (ア) (2) 下線部②が 「このプロジェクトは人々をよい方法で変えました」という意味になるように,( )内の語 (旬) を並べかえなさい。 This mient has changed people in loood ways.

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English Senior High

内容的には間違ってないか。文法は合っているか。の2点で英文を見てもらいたいです。全部で5文で、対話の穴埋め問題です。 ⤵︎ ⤵︎私が描きたかったことです。 1、電気を変えるのを手伝って欲しい 2、あなたの誕生日は2月25じゃなかった?(2月のスペルが間違ってます🙇‍♂️)... Read More

II. 以下に指示された二人の対話を完成させるのに, 最もふさわしいと考えられる 英文を6語以上で書きなさい。 1) A: I'm thinking about changing the design of my bedroom. B: What were you thinking of doing? A: ( ) B: That will really brighten the atmosphere of the room. Let me know if you need a hand. : 2) A Hi, George. Happy birthday! B: Huh? What do you mean? It's not my birthday today. A: ( ) B: No, it's the 25th of March. But, that's okay. You can say it to me again next month. 3) A Did you hear that Tracey and Belinda decided to get married? B Yes, Belinda called me last night. It's wonderful news. We need to think about a present. A: ( ) B: That's a great idea; they both love entertaining at home. 4) A Why were you late this morning? B Well, there was no room to leave my bicycle at the station. A Really? Were all the spaces taken? B: Yes. I think people should be able to leave their bicycles anywhere. A: ( ) 5) A Don't you think John did really well in the debate contest? B: Yes, I was surprised. He is usually quite shy.

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