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数学 高校生

141. これでも記述大丈夫ですか??

重要 例題 141 n≦k の仮定 数列{an}(ただし an> 0) について、関係式 証明。 は整数 の証明。 (a1+a2+......+αn)=a^²+a2²3+...... +α² が成り立つとき, an=nであることを証明せよ。 指針自然数nの問題であるから,数学的帰納法で証明する。 n=k+1のときを書き出すと ならない。 (1+2+..+k+αk+1)=13+2°+..+k+ak+13 A ・成 となるが, 「n=kのとき成り立つ」 と仮定した場合, ak-1=k-1, ak-2=k-2, り立つことを仮定していないこととなり, A が作れなくなってしまう。 したがって, n≦k の仮定が必要。 そこで,次の [1], [2] を示す数学的帰納法を利用。 [1] n=1のとき成り立つ。 [2] n≦k のとき成り立つと仮定すると, n=k+1のときも成り立つ。 ......... CHART 数学的帰納法 n≦kで成立を仮定する場合あり 解答 [1] n=1のとき, ar²=a3, a>0から ゆえに,n=1のとき α = nは成り立つ。 [2] n≦k のとき, an=n が成り立つと仮定する。 a=1 n=k+1のときを考えると {(1+2+.….....+k)+ak+1}² = 1³ +2³++k³ +ak+₁³ (①の左辺)=(1+2+: ...... +k)+2(1+2+..+k)an+1+αk+12 = { ½ k (k+1) } ³+2+ = =+k(k+1) an+i+anti² =1+2+..+k+k(k+1)ak+1 +ak+1 (k+1)an+1+ak+12=ak+13 2 ①の右辺と比較して ゆえに k10 であるから よって, n=k+1のときにも an = nは成り立つ。 [1], [2] から, すべての自然数nに対して an=nは成り立つ。 ak+1 (an+1+k){ak+1-(k+1)}=0 an+1=k+1 n=1のときの証明。 <n≦k の仮定。 <n=k+1のときの証明。 3: 1 数学的帰納法

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英語 高校生

至急!!私立大学看護学部の過去問です。答えがないため、回答を作って欲しいです!!科目は英語です。

問題番号に対応 効とする。 うち受験票お researchers at the University of Veterinary Medicine in Vienna, Austria, have found. Dogs won't give food to a human, even if that person gave them some food first, and that they would help other dogs that had helped them before. Therefore, the team Previous studies have shown that dogs can recognize cooperative and uncooperative humans, "reciprocal altruism"- that is, doing a good thing in return to a human who had given expected to find that their test subjects would put these two things together and show To start, the team trained a group of 37 dogs to press a button which would activate a them food first. *enclosure with the dispenser, while one of (2) two humans was in a separate enclosure with the button. One would press the button to food dispenser. Then, they put each dog in an would not. Each dog was paired with both humans in give food to the dog, and (4) unhelpful one. turn. After that, the researchers switched over the button and the dispenser. They expected that the dogs would press the button to give food to the helpful human but not to the though the dogs did press the button, they did it just as often when either human had the food dispenser, and even when no human was there at all. "In these kinds of studies (5) [perform / to / dogs / which/ trained / are in a particular behavior for an experiment, they will usually do the behavior a few times as they have simply learned the association between the behavior and getting a reward, and it may be enjoyable for them to do the behavior," said Jim McGetrick, a PhD student at the University of Veterinary Medicine in Vienna who led the research. 身を正しく が本冊子 1番 2 次の英文を読んで下の設問に答えなさい。 (3) giving us some food? Are they a combination of reasons. "It is (6) Why wouldn't our best pals want to help us out by secretly all bad boys and girls? McGetrick believes there is possible that the dogs did not understand enough about the task to realize that only one of the humans was providing them with food," he said. It could also be because they didn't fully understand the button and dispenser system, or because they were too focused on the food to notice whether a particular human was pressing the button or not. "Having said all that, even if they did completely understand the task and were fully attentive to the actions of the humans, there is still a good possibility that they wouldn't have given food back in return," he added. "It could be that providing food to a dog as they do not typically do that in everyday life." After all, humans are the ones who human is something very strange for (7) already have food, from a dog's perspective. why would your pet need to worry about (8) making sure you have enough? However, all the humans in the study were people the dogs didn't know. "It is quite 5

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英語 中学生

thatかwitchどっちでもいいんでしょうか?

ル(メキシコ) Rand ポイントの確認 I found Un that [which]1 これは私がインターネットで見つけた写真ださ 目標 (thol/which] + 主語+) 名詞を修飾する言い方が使えるようにして 関係代名詞の thal[which]は目的 の代わりの働き もするよ。この場 合 thai [which]の とは 〈主語+動詞> の話だよ 基本文 This is a picture internet. 名詞 + that [which] +主語+動詞...〉 (目的格) This is a picture. Ⅰ found it on the internet. 丁目的語 「私がインターネットで見つけた」 This is a picture that[which] I found on the internet. 陽刻↑ 基本文の練習 ( )内から適する語を選んで○で囲もう。 (1) This is the racket (which / who) Josh uses. これはジョシュが使っているラケットです。 (2) This is the e-mail (that / who) I wrote yesterday. これは私が昨日書いたEメールです ★「もの」の後ろに住語+動詞...)が続くときは、 that[which] が適切。 84 eighty-four 2 (1)~(3)の絵を見て、 関係代名詞を使って説明を加えた文を完成させよう。 (2) (3) (1) give (1) I have a bag that which my sister made. 私は私の姉 [妹] が作ったバッグを持っています。 (2) This is the T-shirt thaf[which] Asami gave 82.3 これは朝美が私にくれたTシャツです。 (3) This is the watch_thai[which]__I 3年 bought 3 日本文にあう英文になるように、関係代名詞の後ろ文を書こう。 新出単語日本語は英語に、英語は日本語にかえよう。 (1) 高価な, 費用のかかる expensive reach (3) ...に着く、到着する (5) salt (7) leader (1) これはみんなが大好きな歌です。 This is (everyone/that/asong/loves). This is a song that everyone loves. (2) あれはあなたが昨夜滞在したホテルですか。 Is that (stayed at / which / the hotel / last night / you )? Is that the hotel which you stayed at last night? これは私がロンドン で買った時計です。 <主語+動詞...) が続く形にする in London. me. ( 塩、食塩 ) (6) colony (指導者, リーダー) (8) peaceful (2) ニュース,知らせ (4) ほとんど 自己表現をラケット racket クッション cushion サポート! giveの過去形 gave ・・・・を使う use (1) the hotel の後ろに 関係代名詞 whichを you stayed... 「あな ・・・滞在した」 をつた ( ( news almos 植民地 平和な ゲー 本 book ・・・ に行く go to .

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TOEIC・英語 大学生・専門学校生・社会人

わからないので答えを教えてもらいたいです。

英語 Amy: Hey Jake, I was thinking about online shopping this weekend. Do you shop online often? Jake: Yeah, I do it quite a bit. It's so ( house and you can ( ) almost anything online. That's true. I love the convenience, too, especially with a busy schedule. But I've heard there are some downsides to it. What do you think? Well, one obvious downside is not being able to ( ) or try the product before buying. Sometimes, what you see on the website isn't exactly what you get. Amy: Yeah, that's a good point. I've had a couple of instances where the color or size was ) from what I expected. ( Another thing is the shipping time. Even with express shipping, you might have to ( ) a few days for your stuff to arrive. It's not great if you need Amy: Jake: Jake: Amy: Amy: Jake: Jake: Jake: something urgently. True, waiting can be frustrating. But what about the ( that sometimes the prices are higher online. It depends. I've found some great deals online, especially during sales. But you're right; in some cases, the prices can be a bit inflated, and you might end up paying more than if you bought it in-store. Amy: And returns can be a hassle, too. I had to return a shirt once, and the process took forever. It's not as easy as just going to a store and returning it on the spot. Yeah, returns can be a pain. Also, there's the whole security issue. You must be careful about where you're buying from to avoid scams or stealing your ( ). Amy: Oh, definitely. I always make sure the website is secure before entering any payment details. 日本語 L ), you know? No need to leave the On the bright side, online ( ) can be super helpful. I always check them before making a purchase. It gives you an idea of the product's quality and whether it's worth the money. Amy: That's a good point. I do the same. It's like having the opinions of a bunch of friends who've already ( ) the product. Jake: Exactly. So, while there are some drawbacks, I think the ( ) of online shopping, like the convenience and variety, outweigh the ( ) for me. Yeah, I agree. It's all about finding a balance and being cautious about where and what you're buying. )? I've heard

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生物 高校生

セミナー生物の興奮と伝導です。 285の問1と問2がわからないです。

285.興奮の伝導イカの巨大神経繊維を用いて,次のような実験を行った。これについ て下の各問いに答えよ。 〔実験1] 神経繊維の内部に電極a を,外 部に基準電極を配置して(図A), 基準電 極に対する電極aの電位差を測定した。 〔実験2] 電極aとbを2~3cm 離して S1 神経繊維の表面に配置し (図B),電極b に対する電極a の電位差を測定した。 + T A (1) √ 201234 (1-3秒) FRO 2006 図 A n 細胞体側 問1. 実験1および2において,2つの電 S2 極間には,どのような電位差が測定されるか。電極aの電位を下の(ア)~(エ)からそれぞれ 選べ。 (エ) 図B (ア)正 (イ) 正負は一定しない (ウ)負 (エ) 電位差はみられない 問2. 実験1および2において, 図A, B のように電極を配置し, 神経繊維の一端 S およ びS2 に刺激を与えると,2つの電極間にはどのような電位差の変化がみられるか。 電 極aの電位の変化として正しいものを,下図(ア)~(ク)からそれぞれ選べ。 (カ) (キ) (ア) 13. 動物の行動 327 (オ) El a Love a b V 基準電極 末端側 (ク) HAHA 刺激の強さと活動電位下図は,あるニューロンを強く刺激した場合 (A)と,閾値以 動するようすを示している。 第13章 動物の反応と行

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