なぜ下線のところで判別式を使うのでしょうか。

Check 例題246 放物線と接線の囲む面積(②2) 2つの放物線 C:y=x²-5x+7, C2:y=x2+3x-1 の両方に接する 直線をl とする. (1) 直線l の方程式を求めよ. 解答 item (2) 放物線 C,C2 と直線ℓとで囲まれた図形の面積を求めよ . (工学院大) 考え方 (1) C に接する直線を考え, それが C2 にも接することから求める. (2) グラフをかいて求める部分を確認する. (1) C1:y=x2-5x+7 に接する直線を考える. 接点のx座標をα とおくと,y'=2x-5 より の方程式は, y-(α²-5a+7)=(2a-5)(x-α) Focus y=(2a-5)x-a²+7 この接線が C2:y=x+3x-1 にも接する。 x2+3x-1=(2a-5) x-g'+7 (+ook)=v x2-2(α-4)x+α²-8=0...... ①0 ① の判別式をDとすると, 接するから, D=0_ (d 1/1={-(α-4)}'-(α²-8)=0 より,α=30 よって、 直線l の方程式は, y=x-2 (2) 2つの放物線 C1, C2 と直線lとで囲まれ た図形は右の図の色をつけた部分である。1f= C1, C2 の交点のx座標は, SiとSの x2-5x+7=x2+3x-1より)x=1 C と lの接点のx座標は, (1) より, 2 と lの接点のx座標は, x2+3x-1=x-2 より, x=-1d+ops)}- よって, 求める面積は, S_₁{(x²+3x −1)—(x−2)} dx 10-01TRY インドプロロー +=$_,(x+1)dx+f'(x-3)2dxLd ++S²{(x²–5x+7)−(x−2)} dx 13,22311 x=3 | C の接線とC2の接 接線線が一致するとき この直線は C と C の両方に接すること を利用してもよい。 接点の座標は (α, 2-54+7) 接点 yを消去して, のx座標を求める 2 次方程式を作る. 接する ⇔ 判別式 D=0 (重解をもつ) α=3 を接線の方程 式に代入する. wy IC2 IC1 放物線と接線 連立して (判別式) = 0 =1/12(x+11+1/23(x-3)=1/22-1/3(-2)=108 S__ |(²=2) 18+ (6 78-8 *** 1 O 23 16

教えていただきたいです🙇‍♀️🙇‍♀️ よろしくお願いします。

76 EXERCISE B >> ☐01 □02 □03 102 EXERCISE C >> 03 104 (a) I was born in this house. (b) This is the house in (which 05 (a) (b) の英文がほぼ同じ意味になるように,空所に適切な語を入れなさい。 ) I was born. (a) He's made me the person that I am today. (b) He's made me ( ) I am today. (a) It seems that he did not understand her English well. (b) It seems that he did not understand ( English well. 2 |01 This is a proverb which meaning I couldn't understand without your help. <鎌倉女子大> 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。 ) she said in He pretended ignorance, who made me even angrier. 0 Power Frame 850 <中京大> 4 名城大〉 <日本大〉 I'm afraid that no matter what hard the president may try, the company will go bankrupt owing to the recent economic recession. <福島大〉 <明海大〉 Most of my friends immediately went to the museum in where his drawings were exhibited. 3 <高崎経済大 > This is the campus where we studied. Next to it is the temple what you wanted to see. 1 <明治大 > 4

1最上級なのにTheは不要なんですか？何故ですか？ 2been onとはなんですか？been toとは違いますか？

The Blue White Shirt Take a Moment to Think 1. What was your biggest problem in studying English in junior high school? the? 2. Have you ever been on homestay? If not, would you like to try? 7 3. Look at the photo. How many katakana English words can you find? What's the Topic? ()) Steve is an American high school student studying Japanese. At first, Japanese was easy. There are lots of English words. Information

topicの部分An English speakers experience ⬅️何故このexperienceは複数形でないのですか？

12 ムソーダ Targets 味に自信があります... ↑アイス Straw キャラメルパフェ berry フルーツ も、 実 fHk Home made Namilla Give It a Try! Tolli NO1 プリンアラモード チョコレートパフェ わぁ~ きゃあ 迫力 コーヒーセリーパフェ Topic ●An English speaker's experience with wasei-eigo in Japan ☆ナ

お願いします！ よろしくお願いします！

■■ Exercises 1 空所に入る適切な語句を下から1つ選びなさい。 (1) She sat all afternoon ( ) TV. ① watching ② was watching ③ had watched ④ watched (2) ( ( ) his brothers, who both play the piano, Rick has no musical talent at all. ② Because of 1 Unlike ③ Between 4 As to (センター追試) いとは違って ① ) the late arrival of his plane. ③ in place of ④ in case of (センター本試) (3) Dr. Miller was unable to give his speech ( ① according to 2 due to After Your Lesson (センター追試) [ ]内の語句を並べ替えて英文を完成しなさい。 並べ替え箇所のみ書きなさい。 (1) I hiked a couple of hours from the mountaintop down to the lodge. I finally got to the bus stop[another / following / minutes' / thirty / walk ]. (センター追試) 【語句】 make sure that ~｢~ということを確かめる」 permission 「許可」 【語句】 lodge 「山小屋｣ (2) We made sure that the gate [no one / was / come into / so / could / that locked] the factory without permission. (センター本試) 3 下線部を日本語に直しなさい。 Interpol is an international police organization that promotes cooperation among more than 180 nations to fight against international crime. Unlike the image created in films and TV movies, Interpol agents do not travel freely from country to country, (センター本試) arresting criminals here and there. インターポールは,国際犯罪と戦うために 180を超える国々の間の協力を促進する国際的な警察組織 である。 【語句】 criminal 「犯罪者」 create 「~を作り出す」 agent 「捜査官」 arrest 「~を逮捕する」 | Unit 13 予習・復習

392 問 誤りを正せ なぜ4なのか どう直せばいいのか わかる方いらっしゃったら解説お願いします🙇‍♂️

392 ① Trying to do everything ② perfectly is impossible and ③unnecessary; you should be more ④ flexibly. 〈名古屋 外国語大〉 ④訳すべてを完ぺきにこなそうとす るのは不可能だし, その必要もな い。あなたはもっと柔軟であるべき だ。

390 問 誤りを正せ なぜ2になるのか どうに直せば良いのか分かりません 解説お願い致します🙇‍♀️

390 ① No less than 35 percent of the country ②are protected ③in the form of parks and nature sanctuaries. 〈一橋大〉 ②その国の35%もが公園や自然保 護区域という形で守られている。

この問題に使われいる seemやmadeはこの文のどこの訳でseemだ！って 分かるのでしょうか？教えてください🙇

(1) あの会社は生き残りをかけて戦っていたようです。 That company seems to struggling for survival. 生き残り have been (2) この話はこの国で伝えられていなかったようです。 This story doesn't seem to in this country. entrance fee? 入場料 have been told (3) あなたはそんなに高い入場料を払わされたのですか? (make を使って) Were to made you pay such a high

自分の行きたい進路先の過去問を解いてみました。 解答が付いてないないので、どなたか添削お願いします🙇‍♀️ よろしくお願いします🙏

第2問 次の対話1~5の( )に入れるのに最も適切なものを、①~④の中から1つず つ選び、その番号を解答用紙の解答欄に記入しなさい。 1. A: Come downstairs, Mary. Dinner is ready. B: I'm ( ). (4) bringing 2 taking 2. A: What's that song you're listening to? B: You don't know? It's "Yesterday Once More" by the Carpenters. You ( hadn't heard 3 must've heard S ~ coming かどれない might hear 4 shouldn't hear rough ないた 3. A: I'd like to go to Narita Airport./ Can you tell me foughly what the fare would be? B:( ). A: Can you make it in 30 minutes? I'm supposed to be there by 6 o'clock. B: I don't know if I can, but I'll try. I suppose it'd be about ten kilometers. I suppose it'd be about three thousand yen. 3 I think the train is late. A: ( ) B: So I can't agree to that. I think I can pay tomorrow. 金 像 4. A: I want to buy this golden statue of a bear. B: What good will it be to us? 1 Heaven knows. I didn't mean it. arrived too late you I have a question going 2 That's too bad. I know just how you feel. 5. A: Hello. This is Sophia Klein speaking. May I speak to Bill? B: Bill? There's no one by that name here. I'm afraid (). A: Oh, I'm sorry. Good-bye. ③ I can't hear you well you have the wrong number ) it before.

解答がなく困っています。 どなたか分かる方いらっしゃいませんか？？ どうしても行きたい進路先の過去問なので、よろしくお願いします。

第2問 次の対話1~5の ( つ選び、その番号を解答用紙の解答欄に記入しなさい。 1. A: Come downstairs, Mary. Dinner is ready. B: I'm ( ). hadn't heard 3 must've heard に入れるのに最も適切なものを、 ①~④ の中から1つず bringing 2. A: What's that song you're listening to? B: You don't know? It's "Yesterday Once More" by the Carpenters. You ( 2 taking 3 coming 4 going A: Can you make it in 30 minutes? B: I don't know if I can, but I'll try. 2 might hear 4 shouldn't hear 3. A: I'd like to go to Narita Airport. Can you tell me roughly what the fare would be? B: ( ). I'm supposed to be there by 6 o'clock. 1 I suppose it'd be about ten kilometers. 2 I suppose it'd be about three thousand yen. 3 I think the train is late. 4 I think I can pay tomorrow. Heaven knows. 3 I didn't mean it. 4. A: I want to buy this golden statue of a bear. B: What good will it be to us? A: ( B: So I can't agree to that. 1 you arrived too late 3 I have a question 2 That's too bad. 4 I know just how you feel. 5. A: Hello. This is Sophia Klein speaking. May I speak to Bill? I'm afraid ( ). B: Bill? There's no one by that name here. A: Oh, I'm sorry. Good-bye. ) it before. 2 I can't hear you well 4 you have the wrong number