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Mathematics Senior High

なぜ赤色のマーカーで塗ったような式になるのですか?

NA (2) a, bを異なる自然数とするとき, 2点A(a,0), B(0, b) を結ぶ線分 AB (両端を除く)の上の格子点 (x座標、y座標がともに整数である 点)の個数は,α,6の最大公約数をcとすると, (c-1) 個であること を示せ. 考え方 (1) まず, ただ1つ通る有理点を考える. ここでは原点を通る直線として考える. (2) 線分ABの方程式を考え,それと a, b の最大公約数 cを考える. 沖縄 解答 (1) y=√3x(有理点(0, 0)のみ通る) (証明) (0, 0) 以外の有理点 (xo,yo) (x≠0) を るとすると, yo=√3xo このとき,√3=Mとなり,√3が有理 数となるので矛盾する. Xoy よって,(0, 0) 以外の有理点を通らない. xC (2) 線分ABの方程式は, -+%=1 (x>0, y>0) a α, 6 の最大公約数はcであるから, a=ca' |b=cb' とおける.これをAB の方程式に代入して, 一十 =1….... ① より, TOTU b'x y ca' cb' -+y=cb' Buď Fron b'x 右辺は整数,yは整数より, a' B'は互いに素より, xはα'の倍数, すなわち, x=ka' (kは自然数) とおける.同様に, y=lb' (lは自然数)とおける. これらを①に代入すると, (α′,6′は互いに素な自然数)= 背理法で示す. Xo, yo が有理数より, yは有理数 Xo 線分なので, x,yの範 囲に注意する. YA 0 B (0,6) A(a,0) k+l=c.......②おるよな自分 も整数で,α と 分数のところに着目す る. ⑤ その他=1より, C C ②を満たす自然数の組 (k, l) は, (1, c-1), (2, c-2), (c-1, 1) よって,題意を満たす格子点の個数は,(c-1) 個 である. 注) (2)の結果より, a, bが互いに妻のとき,線分 AB 上には格子点が存在しない。 XC

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English Senior High

高校英語です! 回答が合っているか確認していただきたいです! 間違っている場合は訂正していただきたいです! お願いします!!

A空所補充 1. 作家や芸術家によってつくられた創作品が、いわゆる知的財産だ。 図 The products produced by writers and artists are (what) (we) (ca() intellectua property. 2. 彼女の言うことには何でも耳を傾け、話しすぎないようにしなさい。 4 Listen to (what) she says, and try not to talk too much. ever 3. 彼らには戦争をするということがどういうことかわかっていない。 発展 They don't know (what) it (is) (like) to go to war. 4.スターン先生は彼の生徒にだけでなく自分にも厳しいので、好きだ。 5 I like Mr. Stern because he is strict (not) (only) to his students (but) (also) to himself. 5.パスワードを忘れたらいけないので,他人が見られないところに書いておきなさい。 函 Write the password down where others can't see it (in) (case) you should forget it. B 整序完成 6. たくさんの困難を経験してきていたので、彼は今では勇敢で自信があるように見える。3 [ so many / gone / having / through / hardships ], he now looks brave and confident. Having gone through so many hardships, he now looks brave and confident. 7. 私の幼い娘は小さい唇を突き出して, 私にキスしようと近づいてきた。 41 発展 My little daughter came up to kiss me [her / with / little lips / stuck out ]. My little daughter came up to kiss me with her stuck out little lips 8. そういうわけで,私は彼女に結婚を申し込んだのだ。 46 ☆ / to / me / her / why / asked / that's / marry ]. That's why I asked her to marry me C 英作文 9. 彼女の話し方から判断して、彼女は嘘をついているようだ。 40 Judging Prom the way she speaks she seems to be lying. 10. ジェーンが食べているものと同じケーキが欲しい。 あのチョコのメッセージの乗った大きい ケーキ。 48 I want the same cake as the Jane is eating eating That big cake with the chocolate message on it. A

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English Junior High

回答を解説含め教えて頂きたいです🙇‍♀️🙏

問題10 【思考・判断・表現】 (2×9=18) 健(Ken)はクラスの友達に切手 (stamp) と地図 (map) を見せながら、ブータン王国 ( Bhutan)に住む文通相手 (pen pal)のタシ (Tashi) との交通についてスピーチをしてい ます。 次の英文を読んで、あとの (ア) ~ (ケ)の各問いに答えなさい。 0275 300q sit zow stoloporlo to roteir sdt bib 9W (1) Hi, everyone. I'm going to talk about my pen pal. Please look at this stamp. Have you ? Tashi, my pen pal ever seen a big stamp like this? It's not a Japanese stamp. Then ( 1 )? TIDS Satplopo tuodo in Bhutan, sent it to me last week. Bhutan has interesting stamps. I'll talk a little about Syobot pluqoq Bhutan. Please look at this map. Bhutan is between China and India. It's bigger than Kyushu NW (E) and has many high mountains. People in that country have clothes like Japanese kimonos, and they grow and eat rice. Tashi and I became pen pals last year. I've never seen him, ( 2 ) I've seen his father. in the Meiji pen His father came to Japan to study at college, and my mother was his Japanese teacher. t in Japan. They tre When she brought him to our house, he told me about his family. He said, "My son is as old LA 111. SIDIO Snipsd as you. He wanted to come to Japan with 3me, but he had to stay in Bhutan. He is very bih wohl (S)make interested in Japan and wants a Japanese friend. If you write a letter to him, he will be very ( 4 )." Tashi's father also told me about his country. It was very interesting. So I Sstoloporio svori ot sent a letter to Tashi, and we started writing letters to each other. We write letters in English. I didn't like writing English before, but now I enjoy it. Tashi writes English very well because teachers in Bhutan usually speak English when they teach. He sometimes uses difficult words in his letters, so I need a ( 5 ) to read them. We write about our countries, schools, families, and friends. He uses beautiful stamps to him, too. Thank you for listening.

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