赤い下線の変形で他の文字ではなく、y1を消しているのは、2行前のPFベクトル・nベクトルがc、x1、a2で表されているのに合わせにいくためですか？回答よろしくお願いします。

186 例題 96 焦点と接点を結ぶ直線と接線のなす角 楕円 1,2 D ★★★★ 621 上の任意の点Pにおける接線をとし 2つの焦点を F, F とするとき,接線1が2直線 PF, PF" となす角は等しいことを示せ。 目標の言い換え 2直線のなす角 → (傾き) = tan b, と tan0 = tan (01-02)=･･･(加法定理)･･･の利用 → 接線や直線 PF, PF' がx軸に垂直のときを 分けて考えなければならない。 (大変 ) ⇒ 接線の法線ベクトルをすると 法線ベクトルの利用 すべての場合を考えることができる。 PF のなす角α) = (n と PF のなす角β) F ⇒ cosa = cosβ を目指す。 C y 02 0₁ 0 x Action» 接線が直線となす角の性質は、法線が直線となす角を利用せよ α>b>0 としても一般性を失わ B a P =d2-2cx1+ CX であるから |PF| = q – Cx1 =a- 同様に, PF'= (-c-x1, -y)より a CX1 a PFn= -C-1,|PF|=α+ CX1 a PF, PF' とnのなす角をそれぞれα, β(0≦a≦ MBS) とおくと cosa= cos B Action. PF • n CX1 1 a² CX1 a- n an PFn (a PF.n |PF||| cosa=cosβ (a + cxi)\n\ CX1 a sanB≦πであるから alml a=Ba したがって, 接線が2直線 PF, PF'′ となす角は等し Point...焦点と接点を結ぶ直線と接線のなす角 - 光線が直線に当たって反射するとき,右 図1のように入射角と反射角の大きさ は等しくなる。 曲線上の点Pに当たって 反射する場合には,図2のように、点P における接線に対して入射角と反射角を 考え、直線と同様にこれらの大きさは等 しくなる。 よって ない。 焦点F'(-c, 0),F(c, 0) (c>0) y▲ P(x1,yi) とすると c² = a²-b² えればよい。 b>a (長軸がy軸上) のときも同様に証明でき ることが明らかであるか > bの場合だけ考 F また,点P(x1,y1) とすると, 接線 F -a -C 0 ca の方程式は X1X Viy + a² 62 =1 よって, lの法線ベクトルの1つは X1 n = ここで, PF = (c-x, y) より n = (a, b) 200 PFn=(c-x1 X1 09D 62 2 CX1 X1 Yı 2 a² a² 62 2 Pは楕円上の点であるから+2=1 よって PF = CX-1 · n 直線 ax + by + c = 0 の 法線ベクトルの1つは 0円 図 1 例題96で証明したことは, 右の図3において, 点Pが のどのような位置にあってもこの性質が成り立つこと 楕円の1つの焦点から発射した光線が楕円に当たって反 と、すべてもう1つの焦点に集まることが示されたこと (さらに, p.188 Play Back 12 も参照。) また ||PF|2=(c-x)2+y^ X1 =c2-2cx1+x2+621 = c2+b2-2cx1+ (1-1) x² 62 a" したがって、盗んできた 練習 96a,bはa>0,6≠0 を満たす定数とする。 の交点Pにおける放物線Cの接線をしと 男接線が2直線, PF となす角は等し

タイトルをのぞいた6行目のthat was it って文法的にどうなっているんですか？

Your English teacher has asked all students to find an inspiring story about someone who gained confidence and to give a short presentation on "self- You have found this story in a book of short stories confidence", using notes. from the UK. How an Elephant Taught Me to Believe in Myself Sky Morgan I could see the goal line in front of me. Just a few more yards. My legs were burning but nothing was going to stop me. I could see an opposition player running towards me, but I knew she wouldn't make it. I dived and pushed the ball into the ground just over the line. Try!2 I looked up to see my teammates running towards me cheering. The whistle went and I knew that was it. We had won our first rugby game of the year! I'd been playing in the school team now for a year and it felt fantastic. As we walked off the pitch smiling, Coach Janet waved me over. antastic./ My smile dropped. I knew what she was going to say. t/Sh "Sky, that was fantastic! Best try of the game," she said as she patted me on the back. "Sit down for a moment." She waited for me to sit before she began "The county trials are next week. I know...," she saw my expression. "I know you don't feel ready. But you are ready, Sky. You're our best player, You just need the confidence." She sighed. "Just think about it, will you?" 2 aribbe to

この問題教えていただきたいです！

D 3 意味の通る英文になるように, )内の語を適切な形にして, (1) I'll go to the market when the rain (stop). (2) If he (need) my help, I'll help him. に書きなさい。mod seedl (3) Please wait here until I (get) back. ・< (4) Mary will call you back as soon as she (finish) her report. (5) Do you know if it (snow ) tomorrow?

この文ってwhenだからbeがついているのでしょうか？　なぜbeが必要なのか教えてください🙇‍♀️

6 Does Ann go to school by train? - Yes, she does. / No, she doesn't. 7 Didn't you visit New York? B <26> - Yes, I did. / No, I didn't. ☑ (26) (28) N 8 Are you going by air() or by train ()? (I'm going) By train. 9 Who painted this picture? - John did. (29) Hoiup (29) 10 What do you want for your birthday? I want a PC. (29) 11 When will you be back? (I'll be back) By five. IZ It is very cold today, isn't it? Yes, it is. N <29> <31> 13 Tom doesn't like math, does he? - Yes, he does. <31> 14 Listen to me carefully. (34) 15 Be careful! The cup is very hot. 04-CAD (34) 16 Don't give up. Try it again. (34) 17 Don't be so noisy, please. <34> 18 Let's play tennis. - Sure. / Sorry, I can't. <35> 19 How big this steak is! <36> 20 What a good swimmer (he is)! (36) □ 2

英検2級　2024年度　第3回　 大問4の要約についてです。どなたか添削をしていただきたいです！ ネットで調べて解いていたのですが、無断転載禁止と書いてあって心配なので、問題は載せていません😿お手数ですが、ネットで調べて問題を見ていただけると助かります。お願いします！🙇‍♀... 続きを読む

(3)の問題なのですが、これは、I(自分)を主語には出来ませんか？ I have been almost eight years だと思いました。

□ 3.この地域で住むようになって8年近くになる。(神奈川大*) since I came to live in this region. □ 4. 今年はいつもよりずっと雨が多い。 (愛知学白い。

この場合のoweはどのような意味で用いられていますか？？ どなたか分かる方教えてください！！🙇‍♀️

問題5 メモ帳を使う 空欄に入る最も適切なものを選びなさい。 I ( )Susan some money and must pay her back by next Tuesday. 1. borrowed 2. lent 3. owe 4. own

問4の（2）についてです 私は（2）に「先生を思い出す」と言う意味でウを選んだのですが、答えはアでした。なぜウだと不適なのか教えていただきたいです🙇🏻‍♀️😭

(配点 23) Everyone wants to do well on tests. Here is some advice from successful students on how to do well on tests. Listen to the teacher from the first day of class for hints about what is important. For example, the teacher will emphasize the important information by repeating it or telling you it is important. When you look over your textbook and notes again, you should already know what is important. After each lecture, look over your notes again. Come to class ready to ask questions about what you don't understand. C Look at the visual aids the teacher uses. For example, if the teacher asks you to look at a diagram or graph in your textbook, make sure you understand why that diagram or graph is important. There may be a question on the test that asks about that diagram. Study for an essay exam. Students who prepare for essay exams do better on all types of exams. Students need to know more information for essay exams than for true/false or short-answer exams. There are no hints on the exam itself, so students must learn more for essay exams. To prepare for an essay exam, always read the *material twice before you start taking notes. When you read the material the first time, it may seem difficult. When you read the material the second time, it will seem easier. This is similar to when you (1) have to find the way to a friend's house for the first time. The second time you go to your friend's house, it's easier because you know the way. It may even seem shorter because you don't have to slow down as much to check street names or landmarks. The same is true with the material you read. The second time you will already know the words and ideas. In China, they lp to stop de After you've read the material twice, take notes. At this point, you'll find that you know some of the material and can focus on what is most important. Don't ignore *footnotes in your reading. Sometimes teachers think the information in a footnote is important and will ask a question about it. Write down the important information in is in the years t your notes. After you take notes, go back and add your opinions to them. Write down For food in the desert. the ideas that you agree with and the ideas that you disagree with. People remember ants ex large number

この２つの問題の解説を、もう少し簡単な言葉で分かりやすく教えていただけませんか？🙇‍♂️💦 問題は 31. John, is Mary still using your camera? 　　－Yes,I wonder when she （　　）it. 33. We do... 続きを読む

外語大) 31. ③ : 疑問副詞 when 「いつ~か」の名詞節中、未来の事柄 未来を表す形 when she will return it 「いつ彼女がそれを返してくれるのか」という疑問 節が wonder 「~を疑問に思う, 〜かしら」 の目的語の名詞節となり,節 中では未来を表す形を用いる。 I wonder [when she will return it] . SV 0

傍線部の｢yet｣がどう和訳したらいいのか分からないので教えて欲しいです。この文の和訳もお願いします。

G-2 7 For example, the French, compared to Americans, are generally said to be indirect because of their high-context, unspoken communication style. Even so, they often give a straight no. Americans are stereotyped as direct by 5▷ most of the world, yet when they give negative feedback, they are less direct compared to many of those from European cultures.