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Mathematics Senior High

この問題についてですが、この解き方以外の方法とかってあったりしますか??どなたか別の面白い解答をしてくださる方いれば教えて頂きたいです。

84 ONGER. EEPRO 重要 例題 48 2次方程式の解と係数の関係と式の値 | 2次方程式x-mx+p=0の2つの解をα, β とし, 2次方程式xmxq= の2つの解をx, 8 (デルタと読む) とする。 (1) (y-a)(y-B) を p, g を用いて表せ。 (2),gがxの2次方程式x²ー(2n+1)x+n²+n-1=0の解であるとき, 基本 39.44 (x-a)(y-B) (8-α) (8-β) の値を求めよ。 解答 針解と係数に関係した問題では,次の3つ(互いに同値) を使い分けることが重要。 11 2次方程式 ax2+bx+c=0の2つの解がα, B b [2] α+β=- aß= a [3] ax²+bx+c=a(x-a)(x-3) (1) (y-a)(y-β) の式を導きたいから,x-mx+b=(x-a)(x-β)であることを利 用して考える。 (2)同様に (8-α) (8-B) をp, gで表し, 解と係数の関係を利用。 USOTHO (1) α,β は x 2-mx+p=0の2つの解であるから (11 x2-mx+p=(x-a)(x-β) 3-√23 2 45+²x²\£(1. ****** 補羽 (1) この等式の両辺にx=y を代入して y²-my+p=(y-a)(y-B) また,yはx2-mx+g=0の解であるから a ゆえに よって よって 4 y²-my=-q ##$^_P+vS+FORED Jel ①に代入して (r-a)(y-B)=b-g-my を消去。 (2) 8もx-mx+g=0の解であるから, (1) と同様にして (8-α) (8-β)=p-g 51+ 5TH) (r-a)(r-B)(8-a)(8-B)=(p-q)² (1-v)8- ここで, pg は x 2-(2n+1)x+n²+n-1=0の解であ るから、解と係数の関係により p+g=2n+1, ...... _r²-my+q=0UASIO FOUN =5 指針_ の方針 解の対称式の値では、こ の方針が役立つこともあ る。 =(2n+1)²-4(n²+n−1) Styx dost pg=n²+n-1){ (s+v-) 指針の② を利用。 (p−q)²=(p+q)²-4pq (1-vS+x) (S−2+◄(p-q)²=p²-2pa+d (r-a)(r-B)(8-a)(8-ß)=5 1-² = (1) のyを6におき換え るだけでまったく ことがいえる。 = (p²+2pq+q²)-4p = (p+q)²-4pq このとき,

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Physics Senior High

解答の3行目 CHがv1Tとなる理由が分かりません

参考問題 空気中を伝わる音の速さは、温度が上昇すると連 くなる。 図のように,地表に平行な平面を境界とし 温度差があり、無風状態での音速を, 境界面より 境界面より上側でv2 とする。 また, 下痢でい 外面より上側では左から右に速度 V の風が吹いて いる。 境界面の下側にある音源から入射角 61 で音 の平面波を入射したとき, 境界面よりも上側におい て波は境界面の法線と角度 62 をなす方向に進行す る。 図において, ①② は2つの連続した波面を表し また,B点はA点から出た素元波の1周期後の中 「心を表す。 01 と 02 の関係を V1, V2, V を用いて 表せ。 境界面 境界面 音速 02 参考問題解答 音速 1 AB=VT 音速 U2 音速 02 AI = BJ + AB cos 風速V 風速V> V₂T 図のように点 C, H, I J をおく。 音源の周期をTと すると、境界より下側における音速は 1 なので, CH=v₁T また、境界より上側において、 無風状態での音速がひ2 なので、A点から出た素元波の1周期後の半径は, BJ = 1₂T さらに、素元波の波面は風によってVT だけ移動する $ (27/7 - 0₂) VID H (2) =2T + VT sin 02 ここで、 AC= であるので, CH sin 01 V₁T sin 01 sin 01 VI sin 02 v2T + VT sin 02_ sin 02 sin 02 2 + V sin 02 ① 参考 境界面より上側における波の伝播速度を2 とす ると, th2 = である。 この式を代入して sin 01 sin 02 U1 V2 となるので、屈折の法則が成立していることがわ かる。 = v2 + Vsin02 161 2013

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English Junior High

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(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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English Junior High

回答を解説含め教えて頂きたいです🙇‍♀️🙏

問題8【思考・判断・表現】 (2X4=8) 次の(ア) (エ)の各対話文の 3x0 選び、 番号を答えなさい。 HORS (7) Yuichi: Today is my grandmother's birthday. Mary: Yuichi: She's seventy. 1~4の中から一つずつ AXUCE OST) -NEER ŠPEJAT JSY uoy list of onion m'I wold ob alqosq ynom nint I Calplopori si bo od movs olish 1 Where does she live? 2 How old is she? 3 Who gave her a present? 4 ynoteid eti tuodo (S) What's her name? Why is chocolate mort trasllib ti stoloporls silm of oppo* sau ot batante osixeM (1) Satomi: Oh, you are carrying a big box. Are you all right? b slqos David: No. This is a little difficult. Satomi: Sure. EATONKON the first Japanese persoly siano ni siqos yobot stplooards saviensis isy DD snipibsm to brix o zow sqomus montslqosa boinsg ob3 silt erinud Snoqot of smoo tarit stolosorts bib woll 1 Will you help me? May I help you? 2 emixom 3 You won't help me. moz, bainqilis4 Do you want me to help you? sorls triguend tu8 bluos varit vllonit bad bror vsv bsint yanT noqot ni ti slom ot batnow bad stolosoris colate aviensqxs llite 20w ti pooltootroo* 9/02 1 Why do you want to go to the park? qua 2 3. How is the weather next Sunday? 4 () Steve: What are you going to do next Sunday, Hitoshi? Hitoshi: I'm going to play baseball with my friends in the park. Steve: I see. yab Hitoshi: Well, I'll do my homework at home. we amosad stolo Mr. Smith: Tomoko: Tomoko: Yes, Mr. Smith. We are going to ** in China. insianD (1) Mr. Smith: Tomoko, I hear you are going to visit China with your friends this summer. a junior high school ing to visit blow 9††A lay baseball? Loy When will you play What will you do if it rains? inain W 1 2 How many students are there in the school? Is it easy for your friends to speak Chinese? How will you go there? 3 4 Have you ever been there? It is my second time to visit the school, but it is the first time for my friends. I made a lot of Chinese friends last year. So I'm looking forward to seeing them again.

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English Senior High

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LESSON 9 Quome: Bryor 1 Choose the best answer to fill in the blanks. (1) (1) When I was a would (2) You've got ( 1 a few eggs child, I ( 2 should ) on your tie. 2 an egg ) often play baseball with my friends. 4 might 3 must (3) He has such a soft voice that I can ( hardly ℗ hard (4) She cannot speak English, ( nor better 2 nor less (5) The crowd watched the firefighter ( climbing 2 climbed (7) His arguments forced them ( 1 admit to admit Did you have fried eggs for breakfast? dime 3some egg 4 some eggs (9) His English essay was ( ). 1 superior than Carl's 3 superior to Carl's (11) He told me that he ( 1 had never been was never (12) Willy was surprised ( hear (13) The foreigner was used ( 1 handle ) hear him. 3 already ) French. (6) Let's stay home and watch a movie (Y) it's sunny tomorrow. 1 although as soon as 3 even if 4 when 2 to be heard 3 much better 2 handling 1) the ladder. 3 to climb ) he was right. 3 admitted (10) We then moved to Paris, () we lived for six years. 3 where 1 that 2 which ) to America before. ) the news. 4 admitting (8) It is not that I dislike my new job (___) that the working hours are too long. 1 so 2 with 3 for but (神戸学院 4 yet superior for Carl's 4 superior as Carl's 4 to have climbed much less 2 never comes 4 will never come 3 by hearing ) a pair of chopsticks. 3 to handle FERONE 4 what (センター 4 to hear (黒 to handling 2 (1 (2 (創 (名塩 RETESAHONE ( (学) (北海道 GR

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