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数学 高校生

曲線の漸近線の考え方が全くわからず、解説を読んでも腑に落ちません。 このような問題において、どういう考え方をするのか教えていただきたいです🙇

基本例題 186 曲線の漸近線 70 曲線 (1)y=- (2) y=2x+√x2-1 の漸近線の方程式を求めよ。 p.314 参考事項 ①~③ 指針 前ページの参考事項 ① ~ ③ を参照。次の3パターンに大別される。 ① x軸に平行な漸近線 (2) x軸に垂直な漸近線 ③x軸に平行でも垂直でもない漸近線 解答 (1) y= また x3 x2-4 (有限確定値)なら、 直線y=ax+6が漸近線。 (x→∞をx→とした場合についても同様に調べる。) (1) ② のタイプの漸近線は,分母=0 となるx に注目して判断。 また, 分母の次数> 分子の次数となるように式を変形すると ③ のタイプの漸近線が見えてくる。 (2) 式の形に注目しても, ①,②のタイプの漸近線はなさそう。 しかし, ③ のタイプの漸 近線が潜んでいることもあるから! で示した極限を調べる方法で, 漸近線を求める。 X→∞ x3 x2-4 -=x+ limy = ±∞, x→2±0 lim y=lim2+ x-00 X x →∞0 x±∞ lim x--∞ X 練習 税込 186 以上から, 漸近線の方程式は (2) 定義域は,x-1≧0から y = lim(y-x)=lim 4x x2-4 X→∞ x≦-1, 1≦x limy = ±∞ となる定数の値はないから, x軸に垂直な漸 x→p 近線はない。 lim(2+ lim(y-3x)=lim(√x2-1-x)=lim- X→∞ 曲線 (1) 4x x→+∞x24 limy または limy が有限確定値かどうかに注目。 x48 → または → ∞ となるxの値に注目。 xgold-II 定義域は, x2-4≠0から x≠±2 漸近線(つまり極限)を調べ やすくするために, 分母の次数>分子の次数 の形に変形 (分数式では, このような式変形が有効)。 (1) x=-21VA 33. limy = ±∞ (複号同順) x-2±0 4 よって,直線y=3x は漸近線である。 √√x²-1 X→∞ = x-1)=lim(2+√1-1/12)=3から xC -1 =0 x2-1+x y=. lim -=0 4 x→±∞ 1- ..2 x=±2,y=x lim2=α (有限確定値)でlim(y-ax)=6 x8xC x-00 2x2+3 x-1 X→∞ lim (y-x)=lim(x+√x²-1)=lim X-8 + x +∞01 lim (2- よって、直線y=xは漸近線である。 以上から漸近線の方程式は y=3x, y=x 1- 1 x-xx-√√x²-1 =1(*) から =0 -2 -2/3 0 y=x 12! 2 2√3 (*) x→−8 であるから, x<0 として考えることに注 意する。つまり √x2=-x (2) YA --3√3 x=2 Ay=3x 0 -2 (2)y=x-√x2-9 の漸近線の方程式を求めよ。 315 6章 26 関数のグラフ

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英語 中学生

⑦に入る2語を答える問題です! 答えがfour hoursなのですが、なぜそうなるのですか?私はeight hoursだと思いました!!

10 15 20 5 6 次の英文は Olango という森の中にあるいくつかの村に住む動物たちの対話です。 これを読んで、あとの問いに えなさい。 Ay 40 was ' Kabbu is head of the Post Office of Olango, a forest. Many kinds of animals live there. Kabbu and his tea carry letters all over Olango and to other forests. Kabbu's Post Office is very popular among all animals there. Ullu: Why are you so sad? Kabbu: *Probably we'll have to lose my job. Have you heard of the Internet? Ullu: Have humans planned to catch us with a new kind of net? Kabbu: No, no. I hear the Internet is new *technology. All the computers can talk to each other through the Internet. We can talk with everyone around the world by a computer. Leo has the newes computer. He is always using it. He has also made many friends through the Internet and talk with them for hours. Ullu started to think about the Internet after he listened to Kabbu's long report about it. Ullu: Tell me, Kabbu, why will you have to lose your job because of the Internet? Kabbu: Leo is now sending e-mails all over Olango and to other forests. He says everyone in this village will be able to use his computer and send e-mails from his computer. Now, if everyone starts sending e-mails, ① 私たちはどうすればよいのかわかりません。 45 Ullu: Wait, wait. Now what is 'e-mail'? I haven't heard of it. Kabbu: It means *electronic mail'. It is used to send every kind of letter from one computer to other computers through the Internet. It takes only *a second and it is almost free. Ullu: I can't believe it. Kabbu: It is true. So I am very sad and worried about it now. With a sad face, Kabbu flew away. Kabbu was the oldest animal in Olango and was respected a lot by Leo Ullu decided to go and meet Leo and talk with him. At Leo's house, Leo was sitting in front of his computer. Ullu: Leo, can you give me a few minutes? I have to talk about something important. Leo: What is it? Ullu: It is about Kabbu, but I think it may be about all of us. Leo: OK, tell me about it. Ullu: But Leo, I think 50 55 1 60 Ullu told Leo about Kabbu. Leo: Well, Kabbu's *concerns will be real. We usually think high speed and *efficiency are very important, so there is little *chance for old ways. I can send a message in a second through the Internet. But Kabbu and his team need a few days to carry one. Why should I *depend on them? And the *price of their mail is much higher than the price of e-mail. Ullu: But, Leo, what will happen to Kabbu and his team? Leo: They will have to 3 The Internet will become more important in the future and e-mail will be one of the most useful things. 4 trains in the future." But now, "No one will go to see a movie." But both... Leo: You may have a lot of things to say about it, Ullu, but soon e-mail will make Kabbu's mail *useless. Kabbu and his team should start looking for other jobs *after all! For example, when a plane was invented, people said, "No one will see trains still continue to run. When a TV was invented, everyone said.

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英語 中学生

長い文章ですが、1〜6まで教えてください🙇‍♀️ お願いします🙇‍♀️

4 次の英文は、中学生の涼太 (Ryota) がある出会いを通して学んだことについて 英語 の授業でスピーチをしたときのものです。 1~6の問いに答えなさい。 I Hi. I'm going to talk about my experience this summer. visited my brother, Takuya, in Tokyo. He has lived there and studied at a college for two years. I took the eleven o'clock An hour later, a foreign Shinkansen for Tokyo on July 26. woman with a big bag came to the seat next to me. She smiled s at me, but I didn't talk to her. She looked at the baggage rack for a while and then sat in her seat. She put her big bag on her lap because she could not put it on the baggage rack. I thought I should help her, but I didn't do anything for her. She was on the Shinkansen for about one hour and got off. About one hour later, I arrived at Tokyo Station. That night, my brother and I talked about the woman on the Shinkansen. I But I said, "I didn't do anything for her because I can't speak English well. know I should help her." He asked me, "Ryota, if a Japanese woman with a I big bag comes to the seat next to you, will you help her?" I said, "Well ..., don't know." He said, “I don't think that you didn't help the woman on the 15 Shinkansen because you can't speak English. We need some courage when we want to be kind to someone. When I was a junior high school student, I also didn't have courage. You need to have courage, Ryota." I said to him, "I see. I'll have courage to be kind to people around me." I thought, "What should I say in English when I want to help someone?" 10 courage : 20 On the return Shinkansen, the foreign woman came to the seat next to me again! She had the big bag again. I thought I should have courage and said, "Excuse me. ()" She said, "Oh, thank you very much." Then I put her bag on the baggage rack and asked her, "Do you remember me? I was next to you on the Shinkansen two days ago." She smiled at me and said, "Wow ! 25 Yes. I remember you. Hello again." I felt very happy and said to her, "I'm Ryota. You could not put your bag on the baggage rack two days ago. I knew that, but I didn't do anything. I'm sorry." She said, "Oh, it's OK. You are kind. I'm Anila, from India. This is my first trip to Japan." Then we talked a lot together. I talked about my family and school life. I 30 was (2) because I could talk in English. That was my first experience for me. When she got off the Shinkansen, she smiled at me and said, "I hope we can meet again." I learned an important thing from my brother. Thank you very much. () experience: # college: take ... for ~ : ~行きの・・・ に乗る foreign: 外国の seat: baggage rack: 500 next to ~: ~のとなりの [に] smile at ~: ~にほほえむ for a while : しばらくの間 lap : ひざ anything: (否定文で) 何も return: 帰りの Anila: アニラ (女性の名前)

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英語 中学生

長いですが、1〜6まで教えてください🙇‍♀️🙏

4 次の英文は、中学生の涼太 (Ryota) がある出会いを通して学んだことについて 英語 の授業でスピーチをしたときのものです。 1~6の問いに答えなさい。 I Hi. I'm going to talk about my experience this summer. visited my brother, Takuya, in Tokyo. He has lived there and studied at a college for two years. I took the eleven o'clock An hour later, a foreign Shinkansen for Tokyo on July 26. woman with a big bag came to the seat next to me. She smiled s at me, but I didn't talk to her. She looked at the baggage rack for a while and then sat in her seat. She put her big bag on her lap because she could not put it on the baggage rack. I thought I should help her, but I didn't do anything for her. She was on the Shinkansen for about one hour and got off. About one hour later, I arrived at Tokyo Station. That night, my brother and I talked about the woman on the Shinkansen. I But I said, "I didn't do anything for her because I can't speak English well. know I should help her." He asked me, "Ryota, if a Japanese woman with a I big bag comes to the seat next to you, will you help her?" I said, "Well ..., don't know." He said, “I don't think that you didn't help the woman on the 15 Shinkansen because you can't speak English. We need some courage when we want to be kind to someone. When I was a junior high school student, I also didn't have courage. You need to have courage, Ryota." I said to him, "I see. I'll have courage to be kind to people around me." I thought, "What should I say in English when I want to help someone?" 10 courage : 20 On the return Shinkansen, the foreign woman came to the seat next to me again! She had the big bag again. I thought I should have courage and said, "Excuse me. ()" She said, "Oh, thank you very much." Then I put her bag on the baggage rack and asked her, "Do you remember me? I was next to you on the Shinkansen two days ago." She smiled at me and said, "Wow ! 25 Yes. I remember you. Hello again." I felt very happy and said to her, "I'm Ryota. You could not put your bag on the baggage rack two days ago. I knew that, but I didn't do anything. I'm sorry." She said, "Oh, it's OK. You are kind. I'm Anila, from India. This is my first trip to Japan." Then we talked a lot together. I talked about my family and school life. I 30 was (2) because I could talk in English. That was my first experience for me. When she got off the Shinkansen, she smiled at me and said, "I hope we can meet again." I learned an important thing from my brother. Thank you very much. () experience: # college: take ... for ~ : ~行きの・・・ に乗る foreign: 外国の seat: baggage rack: 500 next to ~: ~のとなりの [に] smile at ~: ~にほほえむ for a while : しばらくの間 lap : ひざ anything: (否定文で) 何も return: 帰りの Anila: アニラ (女性の名前)

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英語 中学生

長いですが、1〜6の問題を教えて欲しいです🙏

4 次の英文は、中学生の涼太 (Ryota) がある出会いを通して学んだことについて 英語 の授業でスピーチをしたときのものです。 1~6の問いに答えなさい。 I Hi. I'm going to talk about my experience this summer. visited my brother, Takuya, in Tokyo. He has lived there and studied at a college for two years. I took the eleven o'clock An hour later, a foreign Shinkansen for Tokyo on July 26. woman with a big bag came to the seat next to me. She smiled s at me, but I didn't talk to her. She looked at the baggage rack for a while and then sat in her seat. She put her big bag on her lap because she could not put it on the baggage rack. I thought I should help her, but I didn't do anything for her. She was on the Shinkansen for about one hour and got off. About one hour later, I arrived at Tokyo Station. That night, my brother and I talked about the woman on the Shinkansen. I But I said, "I didn't do anything for her because I can't speak English well. know I should help her." He asked me, "Ryota, if a Japanese woman with a I big bag comes to the seat next to you, will you help her?" I said, "Well ..., don't know." He said, “I don't think that you didn't help the woman on the 15 Shinkansen because you can't speak English. We need some courage when we want to be kind to someone. When I was a junior high school student, I also didn't have courage. You need to have courage, Ryota." I said to him, "I see. I'll have courage to be kind to people around me." I thought, "What should I say in English when I want to help someone?" 10 courage : 20 On the return Shinkansen, the foreign woman came to the seat next to me again! She had the big bag again. I thought I should have courage and said, "Excuse me. ()" She said, "Oh, thank you very much." Then I put her bag on the baggage rack and asked her, "Do you remember me? I was next to you on the Shinkansen two days ago." She smiled at me and said, "Wow ! 25 Yes. I remember you. Hello again." I felt very happy and said to her, "I'm Ryota. You could not put your bag on the baggage rack two days ago. I knew that, but I didn't do anything. I'm sorry." She said, "Oh, it's OK. You are kind. I'm Anila, from India. This is my first trip to Japan." Then we talked a lot together. I talked about my family and school life. I 30 was (2) because I could talk in English. That was my first experience for me. When she got off the Shinkansen, she smiled at me and said, "I hope we can meet again." I learned an important thing from my brother. Thank you very much. () experience: # college: take ... for ~ : ~行きの・・・ に乗る foreign: 外国の seat: baggage rack: 500 next to ~: ~のとなりの [に] smile at ~: ~にほほえむ for a while : しばらくの間 lap : ひざ anything: (否定文で) 何も return: 帰りの Anila: アニラ (女性の名前)

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英語 中学生

とても長い文章ですが、読んで頂き、1〜6まで教えて欲しいです🙏

4 次の英文は, 中学生の涼太 (Ryota) が、 ある出会いを通して学んだことについて,英語 の授業でスピーチをしたときのものです。 1~6の問いに答えなさい。 I Hi. I'm going to talk about my experience this summer. visited my brother, Takuya, in Tokyo. He has lived there and studied at a college for two years. I took the eleven o'clock An hour later, a foreign Shinkansen for Tokyo on July 26. woman with a big bag came to the seat next to me. She smiled 5 at me, but I didn't talk to her. She looked at the baggage rack for a while and then sat in her seat. She put her big bag on her lap because she could not put it on the baggage rack. I thought I should help her, but I didn't do anything for her. She was on the Shinkansen for about one hour and got off. About one hour later, I arrived at Tokyo Station. I don't know. That night, my brother and I talked about the woman on the Shinkansen. I But I said, "I didn't do anything for her because I can't speak English well. know I should help her." He asked me, "Ryota, if a Japanese woman with a big bag comes to the seat next to you, will you help her?" I said, "Well He said, "I don't think that you didn't help the woman on the 15 Shinkansen because you can't speak English. We need some courage when we want to be kind to someone. When I was a junior high school student, I also didn't have courage. You need to have courage, Ryota." I said to him, "I see. I'll have courage to be kind to people around me." I thought, "What should I say in English when I want to help someone?" ...9 10 courage : 1007 20 On the return Shinkansen, the foreign woman came to the seat next to me again! She had the big bag again. I thought I should have courage and said, "Excuse me. ()" She said, "Oh, thank you very much." Then I put her bag on the baggage rack and asked her, "Do you remember me? I was next to you on the Shinkansen two days ago." She smiled at me and said, "Wow ! 25 Yes. I remember you. Hello again." I felt very happy and said to her, "I'm Ryota. You could not put your bag on the baggage rack two days ago. I knew that, but I didn't do anything. I'm sorry." She said, "Oh, it's OK. You are kind. I'm Anila, from India. This is my first trip to Japan." Then we talked a lot together. I talked about my family and school life. I 30 was (2) because I could talk in English. That was my first experience for me. When she got off the Shinkansen, she smiled at me and said, "I hope we can meet again." I learned an important thing from my brother. Thank you very much. () experience: # foreign : 外国の seat: baggage rack: college # take ... for ~: ~ 行きの・・・ に乗る next to ~~のとなりの[に] smile at ~: ~にほほえむ for a while: しばらくの間 lap : ひざ anything: (否定文で)何も return: 帰りの Anila : アニラ (女性の名前)

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英語 中学生

どこを抜き出して答えればいいのか分からないので答えをお願いします🙇‍♀️もし出来れば解説もお願いします🙏

次の英文を読み、以下の問いに答えなさい。 Cow. Chicken. Grass. Which two are in the same group? Your answer depends on where you were born and raised. T fedt af gnofed For a long time, *research psychologists have had an idea that East Asians and Westerners think about the world in different ways. There was not enough scientific *evidence to support this idea until recently. In the past 15 years, however, researchers have learned a lot about different thinking styles and the cultural differences that produce them. The story begins in 1972, when *Liang-Hwang Chiu, a professor of *educational psychology at *Indiana University, tested more than 200 Chinese and 300 American children. He showed some cards to each child. Each card had pictures of three things. One card, for example, showed a cow, a chicken, and grass. Chiu asked the children to say which two things were in the same group. Most of the American children picked the chicken and cow. They explained the reason by saying that "both are animals." Most of the Chinese children, however, put the cow and grass together because "cows eat grass." solib - People didn't think Chiu's study was very important in the years after its *publication because $*psychological scientists at that time paid little attention to cultural differences. In the 1990s, however, *cross-cultural psychology became 2"hot" and Chiu's findings were paid attention to again. 3 Researchers at the University of Michigan did Chiu's study again by testing college students from China, Taiwan, and the United States. Without using pictures, the researchers gave the students with and asked them to say which two three words shampoo, hair, and conditioner, for example 20 were in the same group. The Americans were more likely than the Chinese to say that shampoo and conditioner go together because they're both hair care goods. The Chinese were more likely to say that shampoo and hair go together because "shampoo washes and cleans hair." Why do East Asians and Westerners think differently? Most researchers believe the answer can be Taplapo 77 Step A Step B Step C

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