どう展開したら線部のひとつ前の式から線部の式になるのでしょうか？

360 第6章 微分法 Check 例題 考え方 練習 197 解 Flocus *** 曲線 y=x2 上の点P(α, α²) における法線と, この曲線との交点の うち, 点Pでない方を点Qとする.ただし, α = 0 とする. (2) 点Qの座標を求めよ. (1) 法線の方程式を求めよ. 197 接線に垂直な直線(法線) 接点で接線と垂直に交わる直線を法線と呼ぶ. (詳しくは数学Ⅲで学習) 点P(α, f (a)) における法線の傾きをmとすると, 接線の傾きが f'(a) 0 のとき, JA m·f'(a)=-1 つまり, m=-- 1 f'(a) f'(x)=2x (1) f(x)=x2 とおくと, より, 点Pにおける接線の傾きは, f'(a)=2a したがって,点Pにおける法線の傾きをmとすると, m・2a=-1より, 1 2a (a=0) よって, 点Pにおける法線の方程式は, m=- 2a, (2) 曲線 y=x2 と直線y=- を消去して、x=-2ax+1+1/12 x² = − 12 / 2x + a² + 1/1/2 より, (x-a)(x+a+ 1=0 となる. 1 y-a²=-2 (x-a) 2b, y=-2 / 4x + a² + 1 / 1 D, 2a 2 2/2x+a+1/1/2 の交点は,y +a²+· 1 2a 法線 1 (-a-2a² 4a² SLEI 1 S 注点(a, f(a)) における接線の傾きが0であった場合は, 右の図のように, 接線 y=f(a), 法線: x=α となる. まず,接線の傾きを 考える. (接線の傾き) × ( 法線の傾き) =-1 接線 したがって, x=a, -a- \2 x=-a- a121のとき、y=(-a-12/12)=a+1/+14 点Qのx座標は =x²+ 4a² 1 -a- よって, 点Qの座標は, 2a a²+ | 連立方程式を解いて 交点のx座標を求め る. 左辺に移項して因数 分解 点Pも交点の1つで あるから, x=a も 解になっている. 接線の傾き f'(a)(0) 法線の傾き 法線の傾き fla) f' V₂ (a,f(a)) y=f(a) x=a 曲線 y=x2-2x 上の点P(a, a²-2a) (a≠1) における法線の方程式を求め また、この法線と曲線との交点のうち点Pでない方の点Qの座標を求め よ. → p.361 8 Step I Cマークの問題 1 次 (1 S ←p.340 2 ←p. 341 S 3 ←p. 343 S C S 4 ←p.352 C 5 S ←p.35 c_ S ( ←p. →p. S C

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TRY! 次の英文を下線部の意味に注意して, 日本語に直しなさい. ① He admitted having eaten my cake.ks orit 1 彼は 2 Don't forget to see her tomorrow. (3) I'll never forget seeing her there. 私は (4) Alice tried to sleep, but she couldn't. アリスは (5) It's no use talking to her when she's angry. 彼女が怒っているときに BAB ⑥ There's no telling what will happen. 何が起こるか Seeing is believing. Jrigin to ARE 認めた. 忘れないでね. 決して忘れないだろう. 眠れなかった

この問題で、whyが入らない理由と答えがthatになる理由を教えてください😭😭

次の文の( )内に入れるべき最も適当 なものを下から選びなさい。 The reason I came late was ( overslept. why ア which I as イthat ウ )I

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ly Basic Practice 次の日本語に合うように空所に適語を入れなさい。 1. 最近の研究成果によると, 睡眠不足になればなるほど肥満になりやすい。 According to recent findings, ( ) ( ) weight you gain. ( 2. 優子はまるで多くの映画スターたちに直接会ったような気がした。 Yuko felt ( )( ) she ( film stars directly. ) you sleep, ( I ( my college days. ) ( 3. 私は大学時代にもう一つ外国語を勉強していたらよかったなあと思う。 ) I ( ) ( ) ( Standard Practice 次の日本語を英語に直しなさい。 1. 一生懸命働けば働くほど, それだけますます会社も大きくなるでしょう。 Writing Tips ・どの重要表現を使うかを考える。 (愛知工業大 *) (埼玉医科大 * ) ) a lot of (関西学院大 * ) ) foreign language in (滋賀)

答えが合っているか添削して欲しいです🙇🏻‍♀️ 1.I(should have drank) so much coffee. Now, I can't sleep. 2. She (may have left) her smartphone at her office,... 続きを読む

Fill in the blanks using a Modal Verb in the box below. [Oct. 17, 2022] May/Might/Must/ Could/Can't/Couldn't / Should/Shouldn't / Ought to / Needn't + have done 1. I ( 2. She ( ) so much coffee. Now, I can't sleep. [drink] ) her smartphone at her office, Or perhaps she left it on the train. [leave] 3. The brand-new bicycle has disappeared – it ( T ( 4. I can't find my glasses. 5. How did she fail that exam again? 6. You ( 7. You ( 8. There is no apple juice left in the fridge. My kids ( 9. Do you think she ( 10. You ( ). [steal] ) them in my car. [leave] She ( ) very much. [study] ) the washing up as was going to do that tomorrow. [do] ) such a terrible thing to her, now she's upset. [say] ) it all. [drink] ) about the appointment? It's 9:30. [forget] ) Luke yesterday. He left Japan six months ago. [see] 11. What isn't John at work yet?" I don't know, he ( 12. My suitcase is too heavy. ) the train. [miss] T( 13. Oh, good! We've got milk. Mom ( 14. The bus arrived one minute after you left, so you ( 15. She ( ) there. Her car keys are still here. [drive] 16. You ( ) such a large house. Your wife would have been quite happy in a smaller house. [buy] 17. I( 18. You ( He's re angry with you. [ask] 19. Do you think you ( It looks quite yellow. 20. The cat has escaped! 21. He ( ) so many things. [pack] ) some yesterday. [buy] ) a cab. [take ) to the cinema, but I decided to stay home. [go] ) his permission before you used his computer. ) too much water to your plant? [add] I( ) the door open by mistake. [leave] ) to the shopping center. It's closed on Sundays. [go]

11番から21番まで答えを教えて欲しいです🙇🏻‍♀️

Fill in the blanks using a Modal Verb in the box below. May/Might/Must/Could/Can't/Couldn't/Should/Shouldn't/Ought 1. I ( 2. She ( she left it on the train. [leave] 3. The brand-new bicycle has disappeared - it ( 4. I can't find my glasses. 1( 5. How did she fail that exam again? She ( 6. You ( 18. You ( ) so much coffee. Now, I can't sleep. [drink] ) her smartphone at her office. Or perhaps 19. Do you [Oct. 17, 2022] to/Needn't+have done 7. You ( ) it all. [drink] 8. There is no apple juice left in the fridge. My kids ( 9. Do you think she ( ) about the appointment? It's 9:30. [forget] ) Luke yesterday. He left Japan six months ago. [see] 10. You ( 11. What isn't John at work yet?" I don't know, he ( 12. My suitcase is too heavy. I( ) the train. [miss] 13. Oh, good! We've got milk. Mom ( 14. The bus arrived one minute after you left, so you ( 15. She ( 16. You ( ) such a large house. Your wife would have been quite happy in a smaller house. [buy] 17. 1( ). [steal] ) them in my car. [leave] ) very much. [study] ) the washing up as I was going to do that tomorrow. [do] ) such a terrible thing to her, now she's upset. [say] He's really angry with you. [ask] think you ( It looks quite yellow. 20. The cat has escaped! 21. He ( ) so many things. [pack] ) there. Her car keys are still here. [drive] ) some yesterday. [buy] ) a cab. [take ) to the cinema, but I decided to stay home. [go] ) his permission before you used his computer. [add] I ( ) to the shopping center. ) too much water to your plant? ) the door open by mistake. [leave] It's closed on Sundays. [go]

（）の中に変形したものが分かりません。

Fill in the blanks using a Modal Verb in the box below. [Oct. 17, 2022] May/Might/Must/Could/Can't/Couldn't/Should/Shouldn't/Ought to/ Needn't+have done 1. I ( 2. She ( ) so much coffee. Now, I can't sleep. [drink] ) her smartphone at her office. Or perhaps she left it on the train. [leave] 3. The brand-new bicycle has disappeared - it ( 4. I can't find my glasses. T( 5. How did she fail that exam again? She ( 6. You ( 7. You ( 8. There is no apple juice 9. Do you think she ( 10. You ( ). [steal] ) them in my car. [leave] ) very much. [study] ) the washing up as I was going to do that tomorrow. [do] ) such a terrible thing to her, now she's upset. [say] left in the fridge. My kids ( ) it all. [drink] ) about the appointment? It's 9:30. [forget] ) Luke yesterday. He left Japan six months ago. [see]

写真の問題がわかりません。。 教えてください！

10 15 5 B) Read the following e-mail, and choose the best answer to each question. From: To: Date: Subject: Dear Mr. Westbrook, Elaine McGee <E_McGee@kingsley.co.uk> Nicolas Westbrook <nic_westbrook@heymail.com> June 25 Fashion columns ((1X2) = 4 points × 2, (3) = 5 points) Hello. I'm the editor of Kingsley Press. I'm writing to ask you to write a column for our publication “SUNNY," a monthly magazine which has been providing useful information for middle-aged men so that they can lead their lives cheerfully and actively. I have read your fashion blog, and liked the pictures and descriptions., Each article was very understandable and told me you have good taste. Also, I was impressed with your extensive knowledge of art. Currently, there are a lot of middle-aged men who can't decide what to wear or are not good at shopping for clothing. If you wrote a fashion advice column, it would probably be a great help to our readers. We are planning a column series titled "Brush up your fashion now." I would like you to write a one-page column of about 400 words with a picture of coordinates monthly. I am offering you $100 per article, but I would like to discuss this and other details with you later. If your columns are popular, we will ask you to write other columns about art or movies. Please contact me if you are interested. Sincerely yours, Elaine McGee Kingsley Press

Q23の英文の赤線が引いてある文の訳し方と、inがどういう意味で使われているのか教えて頂きたいです🙇‍♀️

Questions 23 & 24 E |正解| C&C Question 23 F: Do they have long sleeve T-shirts? M: No, only short sleeve T-shirts in black or white. F: OK. Then get one in black. I never wear white. M: Sure. 12- Do they (=the company) have long sleeve T-shirts? と尋ねると,あなたは No, only short sleeve T-shirts in black or white. と答えている。 それに対してホストシスターは Then get one (=a short sleeve T-shirt) in black. と言っているので、正解は [C] 。

高2分詞の単元です。わかる方教えてください🙇🏻

2 下線部の内容を分詞構文を使って表し, 全文を書きかえなさい。 USTANOMMES MANUA KOT 1. The man ran away when he saw the police officer. 2. Since I didn't know the answer, I didn't raise my hand. 3. Her father fell asleep while he was reading a story to her. 4. Because Nao did not want to hurt Tom's feelings, she refused his offer in a polite way. Because he had not been to Tokyo before, he was really excited to visit Tokyo Skytree. 5. (seor B C