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数学 高校生

(2)PQ²=のとこの式がどういう考え方をしているか分からないので教えて下さい!

97 双曲線となり再] [L] 考え方 直線とx軸正方向とのなす角は0であるから,この傾き 解答 (1) l の方程式はy=(x-1) tan0 だか これをCの方程式に代入すると 2x²-2(x-1)*tan²0=1 tandt (t = 0, ±1) とおいて整理して in 2(1-1²)x²+4tx=(1+2+³)=0 ①の判別式をDとすると D -=(21²)²-2(1-t²){−(1+2t²)} = 2(1+t²) >0 4 よって, ① は異なる2つの実数解をもつから 直線は双曲線 Cと相異なる2点で交わる。 (証終) (2) ①の2つの解をα, β とすると, 解と係数の関係から a+β=- aß=-- 2t² 1-² この傾きはf(=tan) であるから」 mimimi PQ2=(1+t)(a-B)^²=(1+t){(α+B)-4aB} =20 22 =(1+(-12 ) +4.1+24 1+tan²0 \2 1-tan²0 2 cos2 20 (3) (2) から RS'= 核心は 1+2t² 2(1-1²) なす角か = 2 ココ!- Ò cos²20+ sin 20 PQ2 ++ + 2 2(1-t)] cos20 + sin20 \2 cos²0-sin³0 2 = cos³2 (0+) sin ²20 T ・① 2(1+1²)² (1-1²)² =1/1/2=(一定)(証終) 第10章 式と曲線 曲 第33匹 解答は158ページ 97 Lv.★★★ C を双曲線 2x2-2y2=1とする。 l, mを点 (1, 0) を通り, x軸とそれ れ0.0 +4の角をなす2直線とする。 ここではの整数倍でないとす (1) 直線1は双曲線 C と相異なる2点PQで交わることを示せ。 (2) PQ2, 0 を用いて表せ。 (3) 直線と曲線Cの交点をR, Sとするとき, (火) らない定数となることを示せ。 PO² + +42/ RS2 は0に (筑波) 98 Lv.★★★ 解答は159ページ 楕円+y^2=1上の点をP(3cosa, sina) (Osas)とし、原点O 点Pを結ぶ線分とx軸の正の部分のなす角を0とするとき、次の各問に よ ー (1) 線分 OP の長さが 3 以上になるの範囲を求めよ。 √5 (2) α-0の最大値を求めよ。 99 Lv.★★★ 座標平面上の楕円 +10=1 -=1 (a>b>0)について, 以下の問いに答えよ (1) x座標が小さい方の焦点Fを極とし, F からx軸の正の方向へ向かう 半直線を始線とする極座標 (r, 9) で表された楕円の極方程式 r = f(0) を求めよ。また、点Fを通る楕円の弦を AB とし,線分 FA および FB の長さをそれぞれ, B とするとき 11 の値は定数となること 群馬大 解答は160ページ .....................

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英語 中学生

回答を解説含め教えて頂きたいです🙇‍♀️🙏

(2) 問題 9 【思考・判断・表現】 Toxun 0 () 英語の授業で、身近なを調べて発表することになりました。 次の英文は、 ある生徒が、 話の流れを表すスライドとして最も適切なものを、 右の1~4の中からつ選び、 番号を答えな チョコレート (chocolate) について調べた発表原稿です。 これを読んで、 発表の最初に示す、 さい。 Sampn mar a torW Xtnovsz Ha inoluz Hello, everyone. Do you like chocolate? I think many people do. Now, I'm going to tell you Seda ei blo woH S Sevil srie 2sob shen svog ori about its history. People in *ancient Mexico started to use *cacao to make chocolate. It was different from chocolate today. People drank chocolate. They thought it was good for their health. It tlusittib slttil D 2inTo bivad 3702 moto2 to Japan? During the Edo period, people from Europe uoy was a kind of medicine and very expensive. How did chocolate first come brought chocolate to Nagasaki. During the Meiji period, some people learned about making chocolate and wanted to make it in Japan. They tried very hard and finally they could. But Suoy glad I YDM S it was still expensive. Sirzoti ypbnu2 txsn ob of priop Doy STD todW abnoint vindtiy llodsend vold of prinn m'sirla Some *confectionary companies began to make chocolate during the Taisho period. After *World War II, chocolate became sweeter and *cheaper, so it's popular now. Today you can see many kinds of chocolate in the supermarket.tot og of tnow woy obyw Which is your favorite? Syobnu2 txan naritoow srit ai woh E World War II ==** M 第二次世界大戦 Stan *ancient Mexico = 古代メキシコ paino period = (1) confectionary companies = 7 ONTO cheaper = 安い、安価な 8料】 8 (84** fily of prio cacao =** I oxomoT time. (1) OlomoT M 2sY S LDNIN) Ai Stima

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英語 高校生

この長文の解答を教えてほしいです! 自分の解答に自信がないのでよろしくお願いします

Questions 4-7 refer to the following letter. January 10 Ms. Erin Murphy Customer Service Department Westcoast Airlines Major Miles Program 345 Brook Street Dallas, TX 75218 sending y you my Dear Ms. Murphy, 6. itinerary and ticket number for my recent roundtrip flight from JFK International Airport to As per your request (during our telephone conversation on January 8, I am s business class with a Major Miles Gold Class voucher and should therefore be eligible for Los Angeles International Airport last December. Please note that my ticket was upgraded to full business class mileage credit. 1 my mileage credi I am a Gold member in the Major Miles program and have been a Westcoast customer for over 15 years. I must that voucher pla genuinely confusing. I fail to understand why the burden of proof for rests with me. Shouldn't this information be on your ticketing computer? Wnb This was my itinerary. Departed JFK, December 22 at 10:20 for LAX Returned to JFK from LAX on December 29 at 16:40 My ticket number was #YB42565697. My seat number was 14B. My Major Miles number is # 04356721 (Gold Card). I sincerely hope that this issue will be resolved quickly as I am counting on my miles earned during this trip to upgrade my hotel room next May. Thank you very much for your attention in this matter. Sincerely Yours, arred Watkins rrod Watkins ection II 読解 4. 5. Wh (A) (B) (C (D W (A ( C

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英語 高校生

この答えを教えて欲しいです。🙇‍♀️

Level Passage : 2:30 Lesson 5 Jet Reading 22 ⑤ Questions: 2:00 Compared to dogs and other pet animals, cats often have lots of freedom. Many owners let their pet cats go outside whenever they want to. But where do they go? Does your cat visit your neighbor's house for extra food? How far from home does your cat actually travel? Cat owners have been wondering about such questions for a long time. 5 To find out where cats go and what they do, researchers decided to track them by putting a GPS (Global Positioning System) device around their neck. It is well known that cats are natural hunters. They often chase and catch *wildlife, such as birds and other small animals. It was therefore believed Hoor war301 that cats may go far from their homes to hunt. However, the research showed some surprising facts about cat *behavior. It seems that most cats 10 don't travel very far from their homes. On average, they move around two houses away. Owners were *relieved to hear this result because it confirmed that their cats do not cross major roads. There was another interesting result. One female cat walked more than 1 kilometer from her home. When the owner checked her GPS data, they discovered that the cat had gone to their old house. It showed that cats remember the past longer and more clearly than we think.(219 words) *wildlife 44 *relieve ~を安心させる *behavior Infogt) A Choose the best options. (2 points x2) According to the passage, which of the following statements are true about cats? (Choose two options. The order does not matter.) so svom i da a. They enjoy more freedom than other pet animals. imove sill niw nuo exentabilt o b. A GPS device was put around a cat's tail by researchers. c. They go far from their homes to hunt wildlife. Sanino sasd Juoda su v d. The research proved that most cats cross major roads. of Inboq bow it bean 17 s e. They may remember the past more clearly than we expect. Bewe )( B Fill in each blank with a suitable word. (2 points x3) ******* ******** Many owners let their cats go (¹ ), but no one exactly knew where they went and what ) the cats by using a GPS device. they did. In order to find this out, researchers decided to (² maswid Bai As a result, they learned that most cats didn't travel very far from their homes. One cat, however, walked more than 1 kilometer from its home. It turned out that it had (3 shows that cats have a better memory than people thought. ) its old house. This result sal al commaly to pound How Judw grinidman [catch/ forgotten / visited / outside /track/inside] Time ☆ ~1:45 ~2:00 ~2:15 ~2:30 ~2:45 ~3:00-3:30 Reading Speed X WPM 125 109 97 88 80 73 63 /10 Name Class No. 10 2015

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英語 高校生

この問題の解答を教えてください

2020年度 英語 京都産業大-公募推薦11月16日 京都産業大-公募推薦11月16日 2020 年度 英語 (B]次の会話文を読んで,空所をうめるのに最も適切なものを一つ選び, その番号 をマークしなさい。 Mike: Pea soup? No way! Well, you chose the museum, so how about if I ( 19 )? Jack: That sounds fair. Let's go. I like their pizza. Jack and Mike are in an art museum. 16) Jack: Hey, look at this one! What a fantastic sculpture! 1. show me a rock Mike: Uh, what is that? 2. stop you praising it Jack: I don't know, but it's quite amazing. Just look at how the shape curves up 3. make me depressed from the floor, and the color and the texture give it a feeling of sadness. 4. help you understand it Mike: Huh? What are you talking about? I just see a rock. Jack: No, no, no! You have to look at it in a different way. Here, read the tite 7) and description of the piece. Maybe that will ( 16 ). 1. can't imagine Mike: The piece is called The Edge of Dawn." It says here that the artist 2. want to tell us wanted to create the feeling of an early morning on a rocky beach. Well, I understand the "rocky" part, but not much else. The only thing I feel is 3. say about Rembrandt hungry, because it's lunchtime. 4. don't like about the beach aleg Jack: Unbelievable! I think that the artist wants to challenge us to imagine how he felt when he created the piece. You know, most artists have something 18) d or *they( 17 ), or something they want us to think about. 1. No, I'm not. Mike: You're kidding, right? I's just a rock in a room. There's no special 2. That's not true! meaning. 3. If it's lunchtime, Jack: You're not an art lover, are you? 4. You mean, classical music? Mike: ( 18 )Ilove Rembrandt and all the classic works. People, buildings, bowls of fruit, they all look so real. But this modern art? Even I could do 19) that! 1. stay here Jack: Ah, but you didn't. Maybe that's the difference. Anyway, I like it a lot. 2. eat by myself Mike: Okay, let's agree to disagree. Everyone has their own opinion, I guess. 3. agree with your choice Anyway, are you ready for lunch yet? I heard there's a great Italian 4. decide the restaurant for lunch restaurant just down the street. Jack: Or we could eat in the museum cafeteria. They make a good pea soup. HRNO. L NAME C

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数学 高校生

静大工学部の数学の大問一つの採点をお願いします!!!(100点満点で) それと写真のオレンジの〰︎部分で第1次導関数を求めるために2x-1で割らないといけないと思うのですが、この時2x-1≠0であると書いて確認をしないといけませんよね?その時の記述がどうしてもわからないので... 続きを読む

(1) 227900-905-19w-903=8utzBスgleodt +S39wde 190-903= faut2XBJalt- 2Btgedt+Rblt -2290-9os こ 8u +2X E9e0-90] -284glandt t6getodt-2Xgorget ニ fw-29dtt S3giaobt よって-1900-91013= 800+ S69cdt -2Jtgididt-0 (2) fw= 423-5X +2人+f00 ここでよ0は定数であるためd0=12X-10人t2=2(3X-U122-1) fwこ0とすると ここでよのは3次関数であり、どの保数はDより大きい ため根込形は右の12のとうにちる このとき極小値は出でとる (まくまより) よってfはFAX-SX+tdw=tio) そ+f10)ニ 、f10:2 よてw=478-52 +2入t2 送にんt0-2のときfん=23t-り(22-),80=00とE す。であり、下の土醤減表よりよいはたしかに極み値 4をとまでもつ。 したダらてよんこ4x-5パ+2X+2 ト~1ま Ht10|- よuつ格大 ソ「極小1 次に一もg0-903:da-2539(tidt +J gar dt gu=-dw.+21519hde -Bg dt tgo1 AV H へ 2 0 g0=-6c0+229 イ 22-リダ0#c0=2(30-0(2X-) 父は04とき g0=2(30-) このとき両辺を種めして 9w=16X-2)dX = 3X-21+C (Cは種6) またのに入こ0を代入して 3 96dt=-fw=-2 J6 34-2ktC)dt=-2 [ポーズヤく大了るニー2 8-4+2C=-2 2C--62C-3 Aよってg0:3と-2X-3 ノ人上より)み一-せ入 90:3パ-22-3 4

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数学 大学生・専門学校生・社会人

静大工学部の数学の大問一つの採点をお願いします!!!(100点満点で) それと写真のオレンジの〰︎部分で第1次導関数を求めるために2x-1で割らないといけないと思うのですが、この時2x-1≠0であると書いて確認をしないといけませんよね?その時の記述がどうしてもわからないので... 続きを読む

(1) 227900-905-19w-903=8utzBスgleodt +S39wde 190-903= faut2XBJalt- 2Btgedt+Rblt -2290-9os こ 8u +2X E9e0-90] -284glandt t6getodt-2Xgorget ニ fw-29dtt S3giaobt よって-1900-91013= 800+ S69cdt -2Jtgididt-0 (2) fw= 423-5X +2人+f00 ここでよ0は定数であるためd0=12X-10人t2=2(3X-U122-1) fwこ0とすると ここでよのは3次関数であり、どの保数はDより大きい ため根込形は右の12のとうにちる このとき極小値は出でとる (まくまより) よってfはFAX-SX+tdw=tio) そ+f10)ニ 、f10:2 よてw=478-52 +2入t2 送にんt0-2のときfん=23t-り(22-),80=00とE す。であり、下の土醤減表よりよいはたしかに極み値 4をとまでもつ。 したダらてよんこ4x-5パ+2X+2 ト~1ま Ht10|- よuつ格大 ソ「極小1 次に一もg0-903:da-2539(tidt +J gar dt gu=-dw.+21519hde -Bg dt tgo1 AV H へ 2 0 g0=-6c0+229 イ 22-リダ0#c0=2(30-0(2X-) 父は04とき g0=2(30-) このとき両辺を種めして 9w=16X-2)dX = 3X-21+C (Cは種6) またのに入こ0を代入して 3 96dt=-fw=-2 J6 34-2ktC)dt=-2 [ポーズヤく大了るニー2 8-4+2C=-2 2C--62C-3 Aよってg0:3と-2X-3 ノ人上より)み一-せ入 90:3パ-22-3 4

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英語 高校生

解答をお願いしたいです。

1】会話文を完成させるのにもっとも適切と思われる文を下からそれぞれ選び、記号で答えなさい。 (1) Hiromi: Nancy, how was your chorus contest? o! onay Nancy: Our class won the first prize. IdgO G buo3 (e へ lt nob1) Hiromi: ( a) Congratulations! b) Ill miss you! nvsl d) Sorry to hear that. a vinonogmala gor T d blavs Ce c) Not at all. (2) Woman: Excuse me. Could you tell me the way to the hospital? へ damo (d Man: I'm sorry. ( orys t 0ob T(C) od a) I'ma stranger here myself. b) It's right in front of you.ob tew (e c) Turn right at the next corner. d) You can't miss it. mid orte iod vi (8) (3) Woman: This is Pat Kennedy. Can I speak with Ms. Yamada? anie Man: Im afraid she's out to lunch. Woman: OK. ( へ Tの ケ tami Man:im Certainly. t 9d irw bisow add 1evo lle dob lo mhr odT O a) Can I leave a message? b) Can you call me back? doss M c) Do you know when she will be back? d) May I have your name? dT S (4) Mom: Yumi, where are you? nug nesd ybeonls avsd enenoidibnoo tis ol danodaLA Yumi: I'm upstairs. Hurry up. We're leaving. p e Mom: Yumi: OK, mom. ( 0ye erstugaroo Inmoersg sol eubong vidavoot udo odmun oT a) Ill be right down. b) Imust be on my way. vatoabo to om c) Leave it to me. d) That's a great idea. 【2] 以下の英文をよく読み( 号で答えなさい。 1. Betty can't (, )の中に入れるのにもっとも適切と思われる単語を下からそれぞれ選び、記 mot vewi 0 2016M SL6M go9q a danol ) her dog. The dog doesn't follow her orders. 0 low v ad b. control C. twist 0 d. warn Tsdiw 20 bg a. arrest 2. Will you turn on the lights? It's too ( )in here, andI can't read the book. n a. crowded b. dark C. noisy 3o d. romantic aiteol dauod asv 3. Agood breakfast gives you ( ) for the day. qorq ne 100 900 anger ba9 b. attention C. enemy d. energy a. 2one becbre 4. This question is too difficult for me. It's ( ) for me to answer it. ddad wen C. impossible d. smart 0gr oals ade clever b. helpful a. 5. The elephant is a very big animal ( nio) has a long nose. a. it b. this C. what d. which Lardo ban sie bobigol ddoraoe ob 【3]下線部に入れるのにもっとも適切と思われるものを「Fからそれぞれ選び、記号で答えなさい。 this morning. る co bits (1) My cold is definitely a) badder c) worser 10gord d) worst b) worse

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