数学Ⅱの青チャート基本例題242の問題なのですが、下の大きな青括弧で囲っているすぐ後の1/2がどこから出てきたのかわかりません😭 わかる方いたら解説お願いします😢

370 8/5 (1)0 (2)×12の出所が分からん… 00000 2 を中心とする円Cが異なる2点で接するとき 基本例題242 放物線と円が囲む面積 放物線:y=x" と点 R ) (1) 2つの接点の座標を求めよ。 (2) 2つの接点を両端とする円 C の短い方の弧とLとで囲まれる図形の面積S を求めよ。 指針 (1) 円と放物線が接する条件を p. 156 重要例題 102 では 接点 重解で考えたが、 ここでは微分法を利用して,次のように考えてみよう。 LとCが点P で接する RP (2) 円が関係してくる図形の面積を求める問題では, 扇形の面積を利用することを考え るとよい｡ 半径が 中心角0 (ラジアン) の扇形の面積は 2122²0 点と点P(t, t2) を通る直線の傾きは 4t²-5 4t 解答 (1)y=x^から y'=2x LとCの接点Pのx座標をt (t=0) とし, この点での共通 の接線をl とすると, lの傾きは 2t t=± 練習 ③242 を共有する 点Pで接線l 2 -x²dx 5 4 t-0 t²_. RPl から 2t･ √3 よって ゆえに、接点の座標は 2 (2) 右図のように, 接点A,Bと点Cを定めると, RC:AC=1:√3 から ∠ORA= Lと直線AB で囲まれた部分の面積を1とすると S=S+RBA(扇形RBA) 3 =-1 ゆえに2= 4 = 201² (4-²) + [f-1²-²0 } }r}: 1².sin 2 √3 --S² g(x + 4 X²-¹²-²² + + - √³)(x-√3 √√√3 TC x+ dx 2 4 3 [類 西南学院大 ] 4t²-5 4t 5 RA=1/3.RA-2.(1/4-2)=1 でっから出てきた? π --(-1){ 4³ -(-4³)² + 43³ - 33/3-7 √3 √3 π 3√3 π = B (3.3). (-33) 2 2 B B y 基本237 √3 O 4 R 12P 15 2 5 YAL(y=r) 4 R t 10 CA 21 0 √3 2 (22/0 2 R ĐẢO P 放物線y 分される 針の はS この 条件 CHAR 解答 放物線y= -x(x-2 ゆえに 放物線C:y=212x上に点P(1.212) をとる。x軸上に中心をもち点Pで数 物線に接する円とx軸との交点のうち原点に近い方をBとするとき、円弧BP (短い方)と放物線Cおよびx軸で囲まれた部分の面識 よって 放物線と それぞれ S= = S= ①求める ゆえに って と L₂

中3英語です。 宿題の答え合わせをしたいのですが、、解いてくださる方いたらお願いします🙇🏻‍♀️🙇🏻‍♀️

5 次の英文を読んで、あとの問いに答えなさい。 <城西大川越改〉 All countries use money, In the US, they use dollars, In Japan, they use yen, In India, they use rupees. If you want to go to a different country, you must change your money. When you go from England to India, you ( ① ) have to change pounds into rupees. When you go from Japan to the US, you must change yen into dollars. A country's money is called its Currency. Changing one country's money into A country's money is called "currency exchange." Currency exchange is not free, You ( ③ ) go to a bank or special money changing office. They will make you pay some small amount in order to change your money, So, it costs ( ④ ) to change money. Exchanging money can be confusing. When you arrive in a new place, you do not know the prices in the new currency right away So, you do not always know how much money you are spending. For example, let's imagine one dollar is exchanged for 120 yen. So, an American in Japan may have little idea how much his or her lunch really costs in dollars! 5 Currency exchange problems used to be very bad in Europe. Europe has many very small countries, and people travel from country to country a lot in Europe. For this reason, they decided to change to one currency, the Euro. Today, most of the countries in Europe use the Euro as their money. In fact, more and more countries will use the Euro in the future. Now you (⑦) travel from Italy to France, or from Spain to Finland, and never have to change your money. The idea of having one currency seems popular. Maybe one day B parts of the world could join their currencies, like countries in the Middle East, or countries in Asia. Maybe one day we will have C currency for the whole world! (1) ①, ③, ⑦ の ( [ must can will don't cannot] に適する語を,次の [ ]内から1つずつ選び、 書きなさい。 3 (2) 下線部②の意味として適するものを,ア~エから1つ選びなさい。 ア 為替 イ口座 ウ 通貨 エ 利息 (3) ④( に適する1語を本文中から抜き出して書きなさい。 (4) 下線部⑤の理由を日本語で説明しなさい。 (5) A Cに入る語の組み合わせとして最も適するものを, ア~エから1つ選びなさい。 B A ア(another / one / another ) one / another / the other ) イ ( ウ(another / other 1 one ) エ(the other / other / another ) (6) 下線部⑥の内容として適するものを, ア~エから1つ選びなさい。 ア 人々が新しい国を訪れたとき, すぐに両替をすることができないということ イ ヨーロッパには小さな国がたくさんあり, 両替をする銀行の数が不足しているということ ウヨーロッパには小さな国がたくさんあり, 人々は国から国への移動を何度もするということ エ イタリア, フランス, スペインなどを旅するとき, 人々は多くのお金を持ち歩かなければいけないとい うこと 13

Let‘s ➕ 動詞の原形 で〜しようの形になるのは何故ですか？ Let‘sは元々Let usという形なので Let ➕人➕動詞の原形の形である、人に〜させる、人が〜するのを許す、という形での意味になるのでは無いでしょうか？ 解説お願いします🙏

1問でも構いません教えてください🙇‍♀️

Every sentence has a mistake. Correct the mistake in each sentence. don't Fernando and Carlos doesn't have a car. Example: 1) Do you live in campus, with family, or with friends? 2) Susan doesn't like go to the library in the morning. 3) What time does class finishes in the afternoon? 4) I like to sing, but I can't a musical instrument. 5) I like to play ski in winter. 6) There aren't some coffee shops near here, I'm afraid. 7) Excuse me. Where's post office, please? 8) I like it here, but there are a lot of noise. 9) Turn left onto Main Street and it's to the left. 10) Hey! Is that your sunglasses over there? 11) How much this coffee, please? 12) I live behind of a large supermarket. Part V- Grammar (16 points) Write ONE word in the space to complete the sentences. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) Go 14) Are 15) How 16) you work in Singapore? do they study there? My cousin My friend Helen "Do they study at university?" "No, they I like. My girlfriend study. He works. her homework in the library. play my guitar in the evening. There aren't How do I Is there a grocery store. aerobics, but she doesn't like yoga. he ski?" "No, he can't." there a good restaurant near the hotel? coffee shops in this street. to the City Hospital? here? ahead. It's next to the Italian coffee shop. shoes over there yours? is this pen? store is expensive. Let's go to another store.

写真の問題が解き始め方が 分からず答えを導き出せないので、 教えて頂きたいです。よろしくお願いします。

【2】 次の各文の書き出しに続けるのに適当なものをア~コから選びなさい。 (1) A hot dog is not an animal (2) Jane seldom spoke, (3) As far as I am concerned, (4) Come again (5) I knew who it was (6) It is certain (7) He neither drinks (8) Let's stand up (9) Try to see things (10) You may stay here 7. as soon as you can. 1. as long as you are silent. . nor smokes. I. as they are. . but a sandwich. . unless she was spoken to. . so that we can see better. 7. that he will come back soon. . I am not against your opinion. 3. the moment she spoke.

なぜseeにingが付くのかが分かりません

英作文 あなたは,明日, 留学生のポール (Paul) と映画を見に行きます。 「その映画を見たあとで いっしょに昼食を食べよう」と彼を誘うとき, あなたならどのように言いますか。 5語以上の英文で書きなさい｡ ただし, I'm などの短縮形は1語として数え, 符号(?!など)は [9点〕 語数に含みません。 例) Let's eat lunch after seeing the movie.

ニューホライズン3年のLet's Read1のA Mother's Lullabgの ReviwのRound2の答えを教えて欲しいです！

informations···▸informationに変えるような問題です。 答え合わせがしたいので、答えを教えて頂きたいです。大問1と2です。

1 Correct the sentences which have mistakes. Tick (✔) the correct sentences. 1 Do you have any informations about these people? information 2 How many people do you employ? Sorry, I don't have much time. Let's be quick. 4 A little customers have complained about the increase. 5 I'm afraid we don't have many paper in stock. 6 There isn't much demand for this line any more. Give him any more time to finish this. I've got fewer space in my new office than in my old one. 9 A lot of people said they preferred the taste of this one. 10 I'd like a little help with that, please. 7 8 2 Two people are checking the store cupboard at work. Complete their conversation with a suitable quantifier. A So, how many boxes of paper clips do we have in stock? so we should B Well, we only have a ² probably order some more. A How about ink cartridges? I don't think there are left. 3 B Well, there's an extra box of them here, but we'll more, sooner or later. need 4 A OK. What about the coffee machine? How 5 coffee is there? B There's a 6 7 of that, but there aren't packets of tea. A Right, so that's paper clips, ink cartridges and tea. Anything else? a at the moment, but people in the office have asked me if B Well, we don't have 8 9 we can have biscuits for the tea breaks.

答え合わせの為、答えを教えて頂きたいです。 よろしくお願いします。ビジネス英語です。

Working with words 1 Complete the sentences with the words in bold. Change the form of the word in bold or add another word to it. supply 1 It's important to build good relationships with different suppliers. 2 Our supply chain begins with the manufacturer in India and ends in our UK shops. is much higher but it's transport 3 The cost of air faster. show 4 Customers from all over Europe visit our in Paris and Milan. invent 5 Every item in our photographic records of each of them. middle 6 The problem with using is that it adds to the final cost of products because we have to add on their fee. is unique, so we keep ship 7 We have a large. track 8 We use barcodes to stock coming in and out of the warehouse. made 9 All our pots are _, which makes them expensive, but our target customer doesn't want anything mass-produced. original 10 The arriving in three days. of the of the products is printed on the bottom of the box. 2 Underline the correct words in italics to complete the sentences. 1 The book is currently out of stock, but it is on / out of order, so we'll have it soon. 2 We need to stock up on / run out of headed paper. Could you put an order in? 3 I ran low on/out of ink, so I couldn't print out the report. 4 We can keep track of/ on track our order by satellite. 5 Let's stop at the next service station. We are running low/out on petrol. Business 1 Complete the phone call between Virginie, a customer, and Kevin, a call handler. Put the words in italics in the correct order. Kevin Good afternoon, you're speaking to Kevin. How can I help you? Virginie Hello, I am up/chasing/an/order chasing up an order I placed three weeks ago. Kevin account /take/I/your/details / Can please? 2 Virginie Yes. The account number is 572638. Kevin OK. If you bear with me a moment, I'll into / look/it 3 Let me see. Well, my /to / information / according it is still on order. 4 Virginie I really need to know happened /to/has/it/ what 5 Could check/me/you/it/for/out 6 ? Kevin Certainly. I'll back/you/to/hour / within/get/ the 7 Virginie Thank you. 2 Kevin calls Virginie back. Complete their conversation with the phrases from the list. put the order straight through asap charge it to was dispatched on check it out as quick as we can must have gone wrong Kevin Hello, this is Kevin from DYK calling. I've got some information about your order. Virginie Oh, thanks for calling back. So, what's happened to it? Kevin Well, we put the order straight through to the warehouse, and it 2_ the 25th. Virginie But I haven't received it yet. Kevin I'm sorry about that. Can you confirm the delivery address? Virginie We wanted it delivered to our Brussels office. Kevin Oh, something 3 It looks like it might have gone to your Paris office instead. I'll 4 straightaway. Virginie I've already been waiting three weeks. Could you just send it again 5 ? Kevin OK, no problem. We'll resend it Virginie Thank you. And please not the Paris one. the Brussels account,

一緒に買い物に行こうと誘う時、英語でLet's go shopping.になるそうですが、何故go toじゃないんですか？