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Mathematics Senior High

なんでこのような図になるんですか?

値 ます。 値の <. きいの が最大 xyの値 1. 件に対 3. 大きいの の向きは と一致 のとき, 23より、 27=2√2 その 例題 182 対数不等式と領域 不等式 10gyx/1/2を満たす点(x,y) の存在する範囲を開示せよ。 ( 津田塾大・改) 考え方] sagol 真数と底の条件 (数) > 0 (底)> 0, (底)1 底の値と真数の大小関係 a>1 のとき, 0<a<1のとき, logaplogag≧27 不等式の表す領域は,まず不等号を=とおいて境界線を求めるとよい。 ■解答 真数は正であるから, x>0 ……… ①1 aol 底の条件より, y>0,y=1 ......A 与式は10gx1/27より。 logyx 12logyy 2 対数と対数関数 (i) y>1 のとき, x≤y ² logyx≤logyy 1440L closely 1-> Focus 境界線は,放物線y=x2 (x0,x≠1) を含み, 直線y=0, y=1, x=0 を 含まない. 両辺はともに正より,両辺を2乗して、x≦y (i)0<y<1のとき,xyz S- 両辺はともに正より,両辺を2乗して, xzy よって, ① と(i),(ii)より, 求める領域は右の図の斜線部分 になる。 01 logaplogag Dsq 底が1より大きいか0と1の間かで場合分けを行う **** る範囲を図示せよ。 y>0より、真数の 条件を満たす。 不等号の向きは対数 の値の大小と一致 y-2log, x>1 不等号の向きは対数 の値の大小と逆 例題182 は, (i) y≧x2, y>1とx>0 (ii) y≤x², 0<y<1 t x>0 の表す領域を図示している。 ④ の条件は (i), (i) を場合分けするときに使用しているが ① は使用していないので、忘れないように注意しよう。 (人のy>0,y≠1 は 0<y<1, 1<y のことである。) 333

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English Junior High

問2の解説を詳しくお願いします。

次の英文は、裕太(Yuta)が書いたものである。これを読んで、後の各問に答えよ。 "So, let's continue making an introduction about your fathers," said our English teacher, Mrs. Yashima one month ago. This class was Dmind-numbing, and I was thinking of the way to kill the time during the class. 4 I didn't know much about my father He was always busy working, so I didn't have any memories of playing with him at all. He came home late at night, woke up earlier than me, and left for his workplace without having breakfast. On weekends, he was always watching news programs which never interested me. When I looked out of the window, a friend of mine who was living near my home was playing catch with his father, and I projected myself on him. When we were having dinner, he never asked me any nice question. He always said to me, "How are the school and the club going?" I only said, "Not bad," because I thought that he had no interest in my school life or club activity. I didn't know about my father well, but I remember the other face of him. He sometimes repaired things in our home such as the TV set, chair, or bicycle. I wasn't interested in it at all until a neighbor told me a story about my father. She always took care of me when my parents were busy. "Your father is a good person," she said. "He always repairs broken things with a smile. It was just like magic." And she gave me some cookies. I knew about my father a little. The other day, I visited a factory as a part of social study class, and a man spoke to me, "Oh, your last name is..., are you his son? When I was working for another company with him, he took good care of me. He sometimes scolded me, but taught me a lot of things. So, I respect him so much." I knew about my father well. When I told my father about the man, he said to me, "Keep the friendship all the time. If you give a hand to someone, the person will give you a hand back someday. Just remember it." At that time, I understood that my father was a hard worker and he was respected by many people. Though he was a serious and silent person, I felt I knew him for the first time. 2022(R4) LAMANG

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Science Junior High

黒丸しているところを教えてください!

No.2 Susan: I heard you had lunch at Masato's house. How was it? soup/ Kenji: It was great. (delicious/cooked/the so/his mother/ was). Susan: Wow. Ⅰ want to try it, too. 次の1,2の会話について, それぞれの [ ]内の 13 語を正しく並べかえて, 英文を完成させなさい。 1. (放課後の教室で) Yuki: Mary, what are you doing here? Mary I'm [at/boy/looking/playing/the] soccer Yuki <鳥取県 > Mike Takashi: About ten o'clock. Mike 14 over there. He is so cool. Oh, that's Kenta. He plays soccer very well. 2. (昼休みの教室で) Takashi: Hi, Mike. I'm going to study for the test 18 with my friend on Saturday. Would you like to join us? : I'd love to. When will you start? : I have to clean my room, so I will [call/I / leave/when/you ] my house. 次の12の対話文の [ ]内の語句を並べかえ て, 意味の通る英文を完成させなさい。 ただし, ]内の語句を全部使うこと。 Miki: Why don't we wear the same T-shirts at the school festival? <岐阜県 > 15 17 文を完 た B: Miki: OK. Let's go there. 2. Linda: You look happy. Haru: Yes, I am. Tom (these / gave / beautiful / me/flowers). <高知県 >> (2) 次の会話の下線部について、()内の語を並べか え、意味のとおる英文にしなさい。 Jane: That's a good idea! I (that/ sells/know/ 19 cool/a shop〕 T-shirts near my house. 記号: (1) (2) PRO ( -156-

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English Senior High

(A)の問題の(1)~(6)までの答えと訂正した回答を教えてほしいです。よろしくお願いします。

【4】 次の設問 (A), (B) に答えよ。 (配点 30> (A) 次の(1)~(6) の各英文には、下線部ア~エのいずれか1つに文法・語法に関して不 適切な あるいは文意を通らなくする箇所が含まれている。 その下線部の記号を記せ。 ア (1) It is estimated that the surface temperature of our planet has been risen by about half a degree Celsius, compared to a hundred years ago, and some scientists believe it's going to get warmer yet in the years to come. (2) In English-speaking cultures, children are often told to say "please" when asking for something. By so doing, they are more likely to be given イ permission than they do not. If they don't, their parents give them a hint, by asking them " What's the magic word?" Trying to forecast weather is incredibly complicated. Some scientists P believe that no matter how advanced science is, weather is impossible to イ predict it accurately, because there are too many random elements involved. (3) Inuits are a related group found in Alaska, and also in Canada and Greenland. They are thought to have spread into North America from Siberia many thousands years ago. In both the US and Britain these people are ウ often called Eskimos but the name Inuit is now preferred and is becoming more widely used. 5) The Cold War is a term for the political conflict between the capitalis countries of the West and the Communist countries of the East that begar 7 after World War II. Both sides had large military forces which were kep イ ready for war, and threatened at each other with nuclear weapons. I

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English Senior High

(7)と(2)を中心に間違っている所を教えてください🙏

問1 次の日本語に合うように、語(句) を並べかえなさい。 「これが、私があなたに話した本です。」 SIERONTAA (I / about / this / the book / told / is / which / you). This is the book which Itold_ 5 表現力 チェック 語句整序問題, 和文英訳の問題では, 日本語をうまく解釈すること がポイント! 以下の例で練習してみよう。 a about.... ★ステップ ① 日本語を分解して考えてみよう! A「これが本です」 + B 「私があなたに話した本」という2つに分けて考える。 ★ステップ② 英語に直してみよう! 与えられている語句を用いて表現を考える。 A 「これが本です」 「これが, その本です」と考える。 This book ⇒a is b ⑥ 「私があなたに話した本」 ⇒ 「私はあなたにその本について話した」という文を考 える。 201 ⇒I C you d b ★ステップ③ 文を完成させよう! 残っている語 whichは,文と文をつなぐ関係代名詞。 AとBに共通する語 b が先行 詞 関係代名詞が修飾をする語) だ。 そこに注意して, 文をつなげてみよう。 a is b which I c you d b ★★☆(1) 私は今朝からずっと待っています。 学習日 told A 語句整序 問2 次の(1)~(7) の日本語に合うように, ()内の語(句) を並べかえて英文を完成させなさい。 ただし,文頭に くる語も小文字にしてある。 月 (waiting / have / this / I / been / since / morning). エ this ステップに沿って考え, a dの空所に単 語を入れてみよう! have been waiting since morning ★★☆ (2) あなたにまたお会いできてうれしいです。 (tò/ again / you / I'm pleased / see ). I'm pleased to see you again. 8 d abou ヒント 問2 (1) 「~から」 は, since ~ で表す。 (2) be pleased to 〜 で, 「〜してうれしい」とい う表現。 EB EB E E 63 CA

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Mathematics Senior High

この問題はなぜD1が完全平方式となればいいと言えるんですか?

重要 例題 51 2次式の因数分解 (2) (0①①①①① 4x2+7xy-2y²-5x+8y+kx,yの1次式の積に因数分解できるように, 定数kの値を定めよ。 また, そのときの因数分解の結果を求めよ。 [類 創価大〕 |基本 20,46 CHART OLUTION 2次式の因数分解 =0 とおいた2次方程式の解を利用 (与式)=0 とおいた方程式をxの2次方程式とみたとき (yを定数とみる), 判別 —(7y—5)—√D₁ 式をD, とすると、与式は4{x-(7y-5)+√D}{x-(y-5)-D} の形 8 8 に因数分解される。D1はyの2次式であり,このときの因数がx,yの1次式と なるための条件は √DIがyの1次式⇔ D1 が完全平方式 すなわち D=0 として,この2次方程式の判別式D2 が 0 となればよい。 解答 (与式)=0 とおいた方程式をxの2次方程式とみて、 4x²+(7y-5)x-(2y²-8y-k)=0 ① の判別式をDとすると まれている。これまでと同 っと D=(7y-5)2+4・4(2y²-8y-k)=81y²-198y+25-16k 与式がxとyの1次式の積に分解されるための条件は、 ①の解 がyの1次式となること,すなわち D1 がyの完全平方式とな ることである。 の D=0 とおいたの2次方程式 81y²-198y+25-16k=0 0 判別式をD2 とすると (2+8)(€ 9) = (86) D₂=(-99)²-81(25-16k)=81{11²—(25—16k)}=81(96+16k) 4 D2=0 となればよいから 96+16k = 0 よって x= ゆえに ...... このとき, D1=81y²-198y+121=(9y-11)2 であるから, ① の解は すなわち x=- , -2y+2 y-3 4 $=44-830-81 m2;&ck: __(7y-5)±√(9y-11) __(7y-5)±(9y-11) 8 8 MURDER inf. 恒等式の考えにより 解く方法もある。(解答編 および p.55 EXERCISES 15 参照 ) (5x)=4(x−y=³){x−(−2y+2)} kid =(4x-y+3)(x+2y-2) ◆ D1 が完全平方式 ⇔ 2次方程式 D1=0 が重 解をもつ =) AGOR adot 計算を工夫すると 992(9.11) 2=81112 は、 ←√(9y-11)^=|9y-11| であるが, ±がついて いるから, 9y-11の絶 対値ははずしてよい。 (括弧の前の4を忘れな - PRACTICE・・・・ 51④ を定数とする2次式 x2+3xy+2y2-3x-5y+k がx,yの1次式の積に因数分解 できるときの値を求めよ。 また, そのときの因数分解の結果を求めよ。 [東京大 2章 7 解と係数の関係

Unresolved Answers: 1
English Junior High

長文問題は全部読むべきですか? 問題解こうと思っても、問題できかれてそうな英文の前後見ても一部分しか揉めないので文の意味がわからないのですが、全文読む時間がないです

Kana: Taylor: ana: lor: 7: *** Kana: ut nts Taylor: Kana: Taylor: It was very beautiful, so I showed it to my host fam I'm glad to hear that. washi was used. I like washi, and my host family showed me an interesting video about it. A video? Tell me more. Traditional Japanese paper called shrine. The video was about old paper documents in a famous The paper documents (have / of /were / washi/made) about 1,300 years ago. People have used washi since then. あけましておめでとう I enjoyed spending time with you last year. Thanks so much! (友だちと) 時間を過ごす, 遊ぶ 文書 ・過去 ところで ・はがき I want to hang out and talk more together this year. That's a long time! I didn't know that. When we read a variety of information written on washi, we can find things about life in the past. I see. thought of that. Washi is important because we can learn the long history of Japan, right? I never I'm happy I can understand Japanese culture more. By the way, you made the New Year's card you sent me, didn't you? Yes. ]. When I went to the history museum, I made a small washi, and used it as a postcard. That's wonderful! But making washi isn't easy. If I were you, [ Well... using washi. Your nengajo was amazing! It gave me a chance to learn about an interesting part of Japanese culture. I found that washi is not only beautiful but also important in your culture. You taught (about/mé / new / to / something ) washi, and I enjoyed talking about it with you. If you want, let's go to the museum. How about next Sunday? Yes, I'm free on that day! p.s. 1 -2- I hope you'll like it! You love traditional Japanese things, so I wanted to make a special thing for you by It was fun to think about how I could create a great nengajo. Kana 2 英文中の 考えて、最も適当なものを、一つ選び、記号を書け。 will show you a traditional Japanese paper learned that to understand Japanese culture is important made this card from washi by myself will take you to the famous shrine next Sunday 話を選びそれらを正しい順に並べて書け。 会話の内容から考えて意味がとおるように、 には、次のア~エのいずれかが入る。 会話の内容から 英文中の〔 考えて、最も適当なものを、一つ選び、記号を書け。 には,次のア~エのいずれかが入る。 年賀状と会話の内容 I would buy postcards at a shop I could make the postcards easily I would go to the museum first to learn about it I I could enjoy creating a great nengajo FDH 問4 次の質問の答えとして、 年賀状と会話の内容から考えて, 最も適当 ア~エから一つ選び, 記号を書け Why did Taylor think the nengajo Kana gave to her was amazing? Because it gave her a chance to come to Japan to learn Japanese Because it told her the history of Japanese culture. Because she learned about an interesting side of Japanese cultur Because she was happy to read what Kana wrote to her. x -3-

Unresolved Answers: 3