Grade

Type of questions

Mathematics Senior High

(3)の線を引いたところで、x1とx2を使って積分してると思うのですが、どうしてそれでv2が求められるのか分からないです。 x1とx2は何を表しているのですか?

) 解答 (1) 3 [2019 鳥取大] xy平面上において, 極方程式 r= する。 (1) 曲線Cを直交座標に関する方程式で表せ。 (2) 曲線Cで囲まれた部分をx軸の周りに1回転してできる立体の体積を求めよ。 (3) 曲線で囲まれた部分をy軸の周りに1回転してできる立体の体積を求めよ。 )組( (x-2)2 4 (1) より,y'= ) 番 名前 ( 8 -+y2=1 (2) π 4cos 0 |(1) == より (4-3cos20)=4cos0 4-3cos20 両辺にを掛けて整理すると 4r2-3(rcos0)=4rcoso re=x2+y2, rcosô=x を代入すると 4(x2+y^)-3x2=4.x すなわち x2-4x+4y'=0 したがって (2) (1) より, 曲線Cの概形は右の図のようになる。 よって,求める体積を V」とすると Viroydx (x-2)2 4 V₁=x[ {-(*=2¹³² +1}ax (x-2)2 4 8 -1 したがって +1 であるから (x-2)3 12 4cos 4-3cos²0 ==[-(*1 (3) (1)より,x2-4x+4y2=0であるから x=2+2√1-y² +x Lo = 16x, √1-y²dy -1 x=2+2√1-y2,x2=2-2√1-y2 とする。 このとき, 求める体積をV2とすると V₁==x√²,₁x₁³dy-S²₁x²³dy (1) で表される曲線をCとす (3) 82 π V₁=16x=8m² ? =7²₁ (8—4 y² +8√/1 — y²)dy—¨ πſª¸ (8 — 4 y² — 8√/1 — y² )dy == 82 (x-2)² 4 -+y²=1 -1 ここで,S,Vi-yadyは半径1の半円の面積を表すから vidy=1 Svityody=号 D 2

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English Junior High

それぞれに埋まる単語教えて頂きたいです😭

◆次の英文を読んで,あとの問いに答えなさい。 <埼玉改〉 Ayako is a junior high school student and her homeroom teacher is Mr. Tanaka. He said to the students in class, "You will have work experience next month. So think about the future and the work experience you want. Then talk about these with your family. This is your homework. Next Monday you are going to talk about it with your classmates in class." That evening Ayako talked to her family about the homework. She said, "I have no idea about the future. What should I do?" Her mother said, "You don't need to worry about it now." Her brother said, "When I was a junior high school student, I was like you. But I was interested in environmental science when I was a third year student in high school. Now I'm studying it at college." Her father asked, "What are you interested in?" Ayako couldn't answer. He continued, "You should think about that first." Next Monday when class started, Mr. Tanaka said to the students, "Talk to the person next to you about the future and work experience. Then give some advice to each other." The person next to Ayako was Robert. He was from Australia. They enjoyed playing basketball at school and were good friends. "Well, Robert, do you have any ideas about the future and work experience?" Ayako asked. "Yes. I want to go to a hospital for work experience. When I was sick in the hospital, a nurse tried hard to help me in English. And she took good care of me. I was very glad. So I want to be a nurse in the future and help people," he said. "How about you, Ayako?" "I have no idea about the future," she said, and then talked to him about her father's advice. "Your father's advice sounds good," he said. "OK. I'll ask you some questions. What do you like 20 to do?" "I like to play basketball on the school's basketball team," she answered. "I like basketball too. Why are you interested in it?" he asked. "Because it's fun to play. And I'm the captain of my team, so I teach basketball to the younger members. I'm interested in that," she answered. "I think you are good at teaching basketball, and all the members like you," he said. "Oh, thank you," she said. "Well, Ayako, how about a school teacher as a future job?" he said. "I think you will take good care of students." 1 35 1. 25 "Thank you. I think it is an important job. OK. I'll think about it," she said. At the end of class 30 she was happy because she had an idea for her future job. She thought listening to her father's advice and talking with Robert were useful. The next week Ayako and Robert were talking again. He said, "Well, Ayako, did you think about work experience? Where do you want to go for it?" Ayako smiled and said, "I'm thinking about teaching at school as a future job, so I want to go to an elementary school for work experience. If I 35 work as a teacher, I need to learn a lot of things. I'm studying harder now."

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English Senior High

この問題教えてください

Program 9 評価問題 (標準) Class No. 1 次の日本語に合うように( (1) 来年からケンが私たちの華道部に加わることは、確実です。 It is certain that Ken will ( Name に入る語を下の記号から選びましょう。 (各4点) ) our flower arrangement club next year. c. joining a. join b. joined (2) フルマラソンを走った後で, あなたはとても疲れているに違いありません。 You must have been very tired after you ( ) a full marathon. a. ran b. run (3) おそらく、私たちももう1日ここに滞在するでしょう。 Probably, we will ( ) here for another day. c. running a. stay b.stayed c. staying (4) 私は、ジロウが私たちに真実を話していると確信しています。 I am sure that Jiro is ( a. tell ) us the truth. b. telling (5) 今日の午後、雨が降り出すかもしれません。 It might start ( ) this afternoon. b. rained a. rain I'm Not Sure, But It's True c. tells (3) おそらく、このTシャツは私の妹に合うでしょう。 Probably, (fit/my/ T-shirt/this / sister/will). c. raining 2 次の日本語に合うように、( )内の語を並べかえましょう。 (各4点) (1) あなたは冗談を言っているに違いありません。 You (be/joking/must). (2) 今日、彼らが早く帰宅するということはほとんどありえないでしょう。 (hardly/is/it/possible / that) they will come home early today. 〒4) 私の両親は、そのテストの結果を心配しているはずです。 My parents (about/be/results/should / the / worried) of the test. d. joins d. runs d. stays d. told d. rains /100 ■ 私たちは、先生が次のテストについてよい助言をくれると確信しています。 We are sure that our teacher (advice/ give/ good / of / pieces/us/will) about the next test.

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