IMOの2017年の第2問の動画を見ていたのですが、画像のcase2の所でtf(x)=yと置換する時にf(x)が全射であることは示さなくて良いのでしょうか？yは実数全体を動く変数で、それに対応するにはf(x)が全射であると示さなくちゃいけないんじゃないですか？教えて欲しいです。

IMO 2017 ut P-2 Let TR Determine be the set of real no. all functions f: TR→ TR 7 for any x and y X YER Sol Fill f(f(x)f(41) + f(x+4) = f(xx) ① Plug, y=o ₤(f(x). f101) + f(x) = f(0) -① Case: 1 f10)=0 flo) + f(x) = f(0) =) f(x)=0 VXER. Case: 2 f(0) = = =ER/ {0} f(+ f(x)) + f(x) = + fltf(x)) = +- f(x). + f(x)= y. f(x)= 1/1.

内容的には間違ってないか。文法は合っているか。の2点で英文を見てもらいたいです。全部で5文で、対話の穴埋め問題です。 ⤵︎ ⤵︎私が描きたかったことです。 1、電気を変えるのを手伝って欲しい 2、あなたの誕生日は2月25じゃなかった？(2月のスペルが間違ってます🙇‍♂️)... 続きを読む

II. 以下に指示された二人の対話を完成させるのに, 最もふさわしいと考えられる 英文を6語以上で書きなさい。 1) A: I'm thinking about changing the design of my bedroom. B: What were you thinking of doing? A: ( ) B: That will really brighten the atmosphere of the room. Let me know if you need a hand. : 2) A Hi, George. Happy birthday! B: Huh? What do you mean? It's not my birthday today. A: ( ) B: No, it's the 25th of March. But, that's okay. You can say it to me again next month. 3) A Did you hear that Tracey and Belinda decided to get married? B Yes, Belinda called me last night. It's wonderful news. We need to think about a present. A: ( ) B: That's a great idea; they both love entertaining at home. 4) A Why were you late this morning? B Well, there was no room to leave my bicycle at the station. A Really? Were all the spaces taken? B: Yes. I think people should be able to leave their bicycles anywhere. A: ( ) 5) A Don't you think John did really well in the debate contest? B: Yes, I was surprised. He is usually quite shy.

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Try it out! prwolofenf 1( )内から適切な語を選んで,文を完成させましょう。 1. (Encouraged / Encouraging) by our teacher, I applied to a college in the U.S. 2. She has never been to Japan, but she speaks Japanese ( fluent / fluently). 3. (Talk / Talking) with the international student, I found myself enjoying speaking English. 4. (Whether / Although) the exam was difficult, I did well on it. 5. He was proud (to / that) win the speech contest held last week. 6. (Unfortunate / Unfortunately), our group lost the debate. 7. He was reading a newspaper with his legs (crossing / crossed). qini ed bloow

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LESSON 4 B ) about how to improve my math test score. 題受る a. access b. address c. advice d. advertisement (3) I asked my father for some ( 2

至急⚠️ 奇数の問題の答えの確認がしたいです。 なぜその答えになるのかも教えていただきたいです。 よろしくお願いします。

14 "I heard you were invited to the President's party.” "Yes. I was surprised at how easy the President was ( for talking 2 talking to 3 to talk )." to talk to 〈センター試 15 The river is dangerous to ( ) in July. being swum 2 swim in 16 She went to France in ( ) to study French. ③ swim it swimming〈センター試 50 ①as 2 intention 3 order 4 spite <金城学院大 17 The girl was so kind ( 1 as to take ) me to the station. 2 of taking tød bas ow 3 in order to take that it takesTorbrug 〈日本女子大〉 Vitom hol 18 The problem was ( ) difficult for him to solve. 1 too 2 to two 19 We talked quietly (obra) disturb him in his study. not so as to 2 so not as to 3 so as not to 4 so 〈神奈川工科大〉 200 4 so as to no <奥羽大〉 EXERCISE B 英文には誤りが1箇所ずつある。番号を指摘し, 正しく直しなさい。 9 to HsH TO 01 An experiment is now under way in Hokkaido to test the effects of using snow to keep food fresh for a long period. Crops are believed to increase their sweetness when to preserve in snow. ④ ③ < 桜美林大〉 <立命館大 > ② 02 It is up to the organizers of the concert to decide whether or not give profits from the concert to victims of the recent flood. ④ 03 It is clear to me that John is enough experienced to be given more responsibility for product development. ④ < 早稲田大 >

解けません 教えてください

個人- Microsoft Edge Volt.toshin.com/OLT/ student4_R/Student/OALT_TestPerformance.aspx?ctestid=83417511016&ctestattempt=1 (2) 分子式 CH12O で表されるアルコールA と B を脱水すると, A からはシスト 5 ランス異性体をもつアルケンC が生じ, B からはC とアルケンD が生じた。ア ルコールA, B およびアルケンC の構造式を,次の①~⑥のうちから一つずつ選 べ。 6 7 A: 8 B: 9 C: 10 ① CH3-CH2-CH2-CH-CH3 -CH-CH3 OH CH3-CH2-CH-CH2-OH CH3 CH3-CH2-CH-CH2-CH3 OH CH3 CH3-CH-CH-CH3 CH OH 5 CH3-CH2 CH3 CH3CH2CH2、 C=C- H H abc:不正解 abc: 正解 8 9 10

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olt.toshin.com/ /student4_R/Student/ALI_Test Performance.aspx?ctestid=83417511016&ctestattempt=1 (2) 分子式 C5H12O で表されるアルコールAとBを脱水すると, A からはシスト ランス異性体をもつアルケンC が生じ, B からはC とアルケンD が生じた。 ア ルコールA, B およびアルケンC の構造式を、次の①~⑥のうちから一つずつ選 べ。 A: 8 B: 9 C: 10 ① CH3-CH2-CH2-CH-CH 3 -GH-CH OH CH3-CH2-CH-CH2-CH3 OH ⑤ CH3-CH2-CH-CH2-OH CH₁ CH3-CH2. CH3 CH3-CH- HIGH CH-CH OH CH3 CH3CH2CH2 CC=C H

教えて下さい。お願いします

ON A. Circle the correct words to complete the paragraph below. is there life on other planets? Scientists use different methods to try to answer this question. Some use very 'powerful / whole radio telescopes. They hope to receive messages from intelligent life on distant planets. Other scientists only 2search/ contact for life in our solar system. But they aren't looking for intelligent life-they want to ³ circle / identify any possible life forms. To do this, they test whether conditions on a planet would allow / contact any kind of life to 5 exist / search.

how was your journey to school？ に対する回答の仕方を教えてください

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Grammar Yourself! bog法に強くなろう! A. 例にならい枠の中から適切な単語を選び、 必要な場合は適切な形にして次の1~4の文を完成 させましょう。 例 It's Takashi's birthday tomorrow. He'll (b)20. 1. "Are you coming with me?" "No, I'll ( ) here." 2. Don't worry about the test. You'll ( ) an A. ) you about the program in detail. be√ come get stay 3. Beth is going to ( 4. Let's wait here until everyone ( ) back from the campus tour. B. 例にならい、カッコ内から正しい語句を選び○で囲みましょう。 tell 15 Hurry! It's already nine o'clock. ( We won't/We're going to be late. 1. "Are you ready?" "Not yet, but (I'll / I won't) be ready in 10 minutes. 2. "Is Yoona coming to the party?" "I don't know. (I'll / I'm going to ) ask her." ar, 3. I'm worried about the test. If I don't get over 60 percent, I won't / will) pass. ) 4. "How about going out for dinner?" "Sorry. (I'll / I'm going to go to a concert から tonight." angled tar You C. 日本語の意味に合うようにカッコ内の語句を並べ替え、 英文を完成させましょう。 ただし、文 の始めにくる単語も小文字にしてあり、 1つ余分な語句が含まれています。 you talk. D 1. キャンパスツアーの後は何をする予定ですか? ( are / will / what / to do / we / going) after the campus tour? 2. キャンパスツアーの後で歓迎会を行います。 Portom tort (welcome we're / we'll / a / party / having ) after the campus tour. 3.10分を超える遅刻は欠席と見なします。 If you're more than 10 minutes late, ( consider / won't / absence / an / it / I'll ). Kaat's Read Aloud & Welte 4. 後でキャンパスを案内します。 (you / I'll / I'm going / the campus / around/show) later. 5 単語 も実際 に使わ 35