なんでa≠0だとaが消えるんですか？

3 2章 7 2次関数の最大・最小 2x/21× 思考プロセス 問題 80 2次関数の決定 [2] グラフが次の条件を満たすような2次関数を求めよ。 (1)頂点がx軸上にあり, 2点 (4, 4), (0, 36) を通る。 (2)y=2xのグラフを平行移動したもので、点(23) 通り,頂点が直 線 y=2x-1 上にある。 条件の言い換え 頂点に関する条件に を引いた。 (1)頂点がx軸上にある (2)頂点が直線 y=2x-1 上にある y=2x のグラフを平行移動したもの 頂点は点(p, 0) とおける 頂点は点(b, 2-1 とおける x の係数は2(例題 64 参照) Action» 2次関数の決定は、頂点に関する条件があれば標準形でおけ (1)頂点がx軸上にあるから、求める2次関数は関求める2次関数を標準形 y=(x-p)と表される。 ただし a ≠ 0 とする。 I .② y=a(x-b)+g でおき, 頂点がx軸上にあること から,g=0 とする。 ま た 2次関数であるから, α 0 である。 79 点 (4, 4) を通るから 4 = a(4-p)² 点 (0, 36) を通るから 36 = ap² ②-1×9 より 0=ap2-9a(4-D)2 α 0 より 定数項をそろえる。 0 = p²-9(4-p)² これを解くと p = 3,6 1001 (S-1)6= ②より,p=3 のとき a=4 p = 6 のとき a = 1 y=4(x-3)', y=(x-6)2 よって、求める 2次関数は 4 (2)頂点が,直線 y=2x-1 上にあるから,頂点は点(y=x12x+36 と答え 24 てもよい 8+°(g-)-= 小y=4x-24x+36,

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以続詞 25. ( ) she has gone to Paris on business, Ms. Brown is not here now. Since 2 Before 3 Though 4 When HST 〈城西大〉 26. () it was the end of the month, the bank was very crowded with customers. Because 2 Because of 3 While 27. We should not look down on a person ( ) he is poor. 〈城西大〉 4 During liw 一彼が貧しいからといって、私たちは人を見下してはいけない but because ⑩because 2 why jud nee8 90 3 and 4 but ~だからといって…なる松山大〉 28.( 4 When 〈工学院大〉 Doy ( 7 2A (1) 4 though <中部大〉 ) that you are old enough, you must do it yourself. ①Because ~ Now 3 Though 29. You should not keep pets (28) you take good care of them. 1 if unless otherwise 30. We will be able to accept your offer () that you assure us that the agreed price will stay unchanged. (*) decided 2 proposed "1 ③provided suggested ④ <学習院大 > sausood 31. "Couldn't you make the price on this car one million and a half?" 窪田 条件 "Well, all right, ( ) that you pay in advance." 1 in case 2 in circumstance ③ for good ④ on the condition ~という条件で/もしてならば 〈大阪産業大 > 32. ( ) the passenger sitting next to you wasn't feeling well, what would you do? ②Suppose 2 Remember 3 Think 4 Act 〈摂南大〉 もし~ならば

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19764975 17. It will not be long (___) she can have the transplant surgery. 1 when 2 time 3 after It will not be long before SV 4 before ④till~するまで 18. The old man watched the ship (become smaller and smaller) ☐ 19. ( 1 because guon 2 unless 3 after <兵庫医科大〉 ) it was seen no more. 〈獨協大〉 ) my son enters elementary school, he should be able to say the English alphabet. ①Before long ②By the time ③While 4 Until 11(t) 20. He had no sooner arrived at home (min) it started to rain. S had no sooner done 1 as □ 21. ( ①Fairly 2 for 3 when than 101 ... than did ・・・したらすぐに~し(札幌) ~ ) had the meeting started when an earthquake shook the building. Hardly had s done 3 Immediately Rarely 倒置形 <明治大) 2 Hardly ? 22. ( ) begun considering the solution when an 報が入ってきた came in. Hea ~したらすぐにした 2 Before the men had 4 Soon had the men 1 As soon as the men had ~~したらすぐに 3 Scarcely had the men 人間は彼らが生き残るために必要なものを生産しはじめるとすぐに 〈日本大〉 23.( human beings started to produce what they needed to survive) they set themselves ① As soon as ~するとすぐに (大) apart from animals. eogebroe 2 The reason why 4 As it is * 3 No more than 24. I knew something was wrong with the engine ( although 2 even if 3 however ) I tried to start the car. 〈関西外国語大〉 12 the moment ~するとすぐ(近畿大> ⑨the

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(訳 9. He likes ( ) the Republican Party nor the Democratic Party. neither Anor B 1 either art juods sba 2 none 1 ansiq on (2 that (3 both AもBも~ない gu④neither <亜細亜大 〉 他動の目的 ) more jobs will be available next year. had 3 what 1914 when 名詞欠けてないと使えない不完全 10. The improving economy means( C①which 11. Human beings are different from animals ( we can think and speak. 3 in that t 4 while 〈立正大〉 Gr oa C 〈新見公立大 〉 survivors of the ferry accident will be found. うしろに完全だから 1 because of 2 unless 12. Hope is fading ( 1 which (2) that 13. I asked him ( *** that 3 who 4 why ) he could swim well enough to cross the river. 横切る 2 what 3 if ~かどうか 14. Do you know (*) the teacher is married or not? aaso ni <東京国際大 〉 ) A ST felugrul Tour 4 which anol (5) gaiqa vse amoa ( ) SSP 2 what 3 whether 4 how 〈淑徳大〉 その時 jon i grz ) the phone rang. 電話がなった BA 4 what 1 that 部屋を出ようとしていた 15. I was about to leave the room, ( 1 when 2 which 16. I've wanted to visit Helsinki ( 1 since 2 until (3) that ) I was a teenager. 3 when 4 while Woll D 96) ( ) CS quorbAD 〈大阪商業大 〉 〈 立命館大 〉 ~している間

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1. Toshi likes team sports, ( 1 or 2 nor ) he watches basketball.S 3 if 2. She does not speak to us, nor ( ) appear that she wants to. ~まだしない 1 will it 2 it will (3 it does isqe 3. Put on your sweater, ( will ④or 2 so 3 then ( 4. Study hard, ( ) y you will pass the exam. <東海大) belove(**) does it badaud M (*) you ecold. 命令文に続けてor~しなさい、さもないと~ 4 if veiled one ( ①だから <東海大 > 命令文に続けてand~しなさい。そうすれば~ Dand 2 or 3 but ④if 〈北陸大〉 WORK 5. The restaurant is open (od) on weekends and on holidays. both A and B A&Bitto 2 neither 3 not 1 either 6. My true birthday is not December 12, 1990 ( 3 for 1 so 2 but Jnobute 99119 both feud autor) ) November 12, 1980. Jedol an hot A but B AではなくB <愛知産業大 〉 7. He is the most exciting player I have ever seen. He is ( fielder, too. et not only nedW 2 only as no02 a 3 such 8. I haven't met (p) her brother or her sister. (*neither ②either ) a great batter but a great not only A but B ④ both Aだけではなく噴 197 <京都産業大〉 A or B A+BaEsplan Danboth either 91019 3 each 〈拓殖大 〉

66番、67番が分かりません、、😭😭他の問題もあってますか、、？🥲

63. 間もなくその問題について議論が始まるでしょう。 (1語不要) be/ long/soon/won't before / start discussing / the issue / if / be / they )〈中央大) before they start discussing start discussing the issue It worst be long before they 64. 健康は失ってみて初めてそのありがたさがわかるものだ。 auroth We do not health/lose/ of / realize / the value until / we it. roalize the value of health until we lose □ 65. そんなにいいものじゃないけれど この古い服を着てもいいよ。 〈北里大〉 You can (even / though/clothes / old / they / these / are / wear) not very nice. 〈中央大) were these old clothes even through they are 66. 私はとても緊張していたので,何を言えばいいかわからなかった。 undizzoq on al 919dT (0) I was (a / at/for/I/loss / nervous / say so that / to / was / what ). jon bluos 67. 一度自由の味を知った人にとって, それは手放しがたい。 <日本獣医生命科学大〉 (d) Freedom is hard for people to experienced / give / have / it / once / they / up ). nebiasiq helps old to work at workvi 文化大 < 立命館大 〉

問11の1なのですが、①から④についているforはどんな意味になりますか？ 〜のためにかな？と思ったのですがto wear が〜のためという意味を表すと思いました そうなるとforはどのような意味になるのか分かりませんでした お願いします

|| Fill in the blanks. 1. The aim of an International Exposition is [ 1 ]. ①for people to wear Japanese clothes such as a kimono 日本の服を人々があるため例えば着物な ② for visitors to see the best new British products for sal ③ for the public to learn about the technology that was u ④ for countries to present new goods that are coming so

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(1)10A,Bの2部屋に入る方法は,何通りあるか。ただし、全員が1つの部屋に 入ってもよい。 S-UA 18 A je sa = (5) (1) (es)=BUA (@) 8=(A) (e) d=(h) (S) 2=(A) (0) 88 (4) EE (8) ar (S) (S) Esa (0) A EI (E) ATS (S) (1) UM ()) OSM (S) (2)10人が2つのグループA, B に分かれる方法は何通りあるか。 OST (0) 8 (2) * (1) 01 (S) SA (0) (BAS (S) 08 (1) OSI UOST (1) 08 (3) 08 (1) 88S (C) OPS (S) (MM (1) UBAS (S) 05 01 (1) (8)(8) UM 18 (S) 2 (0) OCE (F) IS (0) (C) TO) asi (8) OSS (S) 1. (9) 18 (8) (3)10人が2つのグループに分かれる方法は何通りあるか。 ac (S) USE OF (0) *IS (DE 0001 (8) (1) 210 (S) Q0ONEL (1) 00

21番です。 なぜ、対比の訳になるのか教えていただきたいです🙏

IV 次の英文を読み, 空所 19~ VR肢①~④から1つずつ選びなさい。 問題 23を埋めるのに文脈上最も適切なものを、それぞれ下の選 Sixty-five million years later, the extinction of the dinosaurs remains a great mystery. Scientists think that dinosaurs existed on Earth for almost 200 million years. 19 could these great beasts, some of which weighed thousands of pounds and stood 100 feet tall, suddenly disappear? 11 The most popular theory is that the dinosaurs were killed off when an asteroid into southern Mexico. The asteroid's collision caused earthquakes, fires, and tidal waves. Volcanoes erupted, spewing poisonous gases into the sky and lowering the oxygen level in the oceans. Plants died, removing the food source for plant-eating dinosaurs. As these dinosaurs died, there was no food for meat-eating dinosaurs. In a short period of time, the dinosaurs were gone, and the first mammals began to appear. Many scientists note that, 21 the asteroid had a major impact, the Earth's climate had already scientists claim that mammals already on Earth before the asteroid might have 22 the extinction begun to change. The planet was cooling, and the colder temperatures were likely killing plants. Some by eating dinosaur eggs. We may never know for certain what caused the extinction of the dinosaurs. But it was most likely the result of a combination of the asteroid, colder climates, and egg-stealing mammals 23 the single event of the asteroid hitting the Earth. 2024年度 全学 Casey Malarcher et al., Reading for the Real World 1, Second edition When ② 19 What 3 Who 4 How came ② carried 20 3 crashed 4 burst 21 while once 3 unless 4 yet 22 ① governed obstructed 3 facilitated 4 united 23 1 other than rather than ③ except for 4 owing to

(3)について質問です 中心からの距離がr≦aの間ならOからの距離が遠いほど電気量は大きくなるので電場の向きは半径方向内向き向きをなると考えたのですが、解答では外向きだそうです。どう考えればいいのか教えてください！🙏

リード D 第21章 静電気力と電場・電位 193 372 帯電した球体がつくる電場■ 図1のような,正電荷 Q [C]に帯電した半径a [m] の導体球Aがつくる電場を考える。 クーロンの法則の比例定数をk [N·m²/C2] とする。 (1) 導体球の中心Oから距離[m] (0<r<α) 離れた点における 電場の強さを求めよ。 r (2) 導体球の中心0から距離 [m] (a<r) 離れた点における電場 の強さを求めよ。 次に、 図2のように単位体積当たりの電気量が一定の値 [C/m² a 図 1 + + + + 導体球A A+++at+ ++ + + + ++・ ++ +O++ + + + ++++ 球体B (p>0) である半径α [m] の球体Bがつくる電場を考える。図2 (3) 球体Bの中心0から距離 [m] (r≦a) 離れた点Pにおける電場の強さを求めよ。 た だし,点Pでの電場は, 0 を中心とした半径 [m] の球面の内部にある電荷がつく る電場に等しいものとする。 [17 関西学院大 改] 363 物