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Mathematics Senior High

この問題で、答えは等比数列の和で考えているのですが、和ではなくただの等比数列で考えることはできないのですか。 教えていただけると助かります。よろしくお願いします。

80 第1章 複素数平面 Check 複素数で表された数列の和 図のように,複素数平面上の原点をP とし, Po虚軸 例題27 から実軸の正の方向に1進んだ点をPとする。 次に、点Pをだけ回転して向きを変えて、 π 4 進んだ点をP2とする. 以下同様に,Pmに到 P2 Pol PV2 1 だけ回転して前回進んだ距離の √√2 実軸 達した後, sagat - 進んで到達する点をPn+1 とする. このとき, 点P10 が表す複素数を √2 求めよ. (日本女子大) |考え方 PoPio=OPio = PoPi+PiPz+PzPs+P3P++・ +PsPo+PsP10 となる。 また, P&Pk+1 = OP +1' となるベクトル OP k+1 を考えれば,8+I |- PatPet=0Pw+"'" は P&Pari= Pat'を原点Oのまわりにこだけ回転して、 したベクトルである。 (3E+1)- ■解答 与えられた図において、 200 PoP10=P0P₁+P₁P2+P₂P3++P8P9+P9P10 点Pは原点Oと一致しているので, PoP10=OP10=PoPi+PiPz+P2P3+· ・+PgP+PP10 PoPi=OPi であるが、 次に,P&Px+1=OP k+1となるベクトル OP k+1' を考えると, ここではそのままにし OP10 = OPY'+OP2′'+OP3′' + +OP,+OP 10' ておく. ここで,点P10 を表す複素数を 2 10 とし, 点Pn'′ を表す複 素数をzn' とすると 710=21'22'23'+..+29' +210' 虚軸 また、OPad は OP at'を原点Oのまわりにだけ回転 T して 1/12倍したベクトルである。 (0niai0209) 4 P+2 4 Px+1 α=- COS I したがって, 1/12(cos a fisin 44 とおくと, Pi ●P+1 Prad Zk+1' =Qzh' となるので 0 実軸 Zk' = azk-1' = a(azk-2') =1/100 √2 (cos 4+ isin) =a²(azk-3') は,原点〇のまわりに =a²-¹z₁ だけ回転し, √2 倍する複素数を表す. _²₁'(1-α¹⁰) より, Z10=z''+uzi'+α'z''++αzi' 1-a 初項21,公比α(α=1), 項数 10 の等比数列の和 a= HOODA 4 826] -0. JAL 135430+DM A & J ***

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English Senior High

全く分からないので教えてください🙇🏻‍♀️🙇🏻‍♀️

Chapter 3 3 下線部には文法的語法的な誤りが1つある。 指摘して正せ。 4分 各2点 1. の When I open the door, he was 。sitting at the desk, 。 the letter lying open , before him. の (法政大) C bonfder never seen you。wear it before.” 2. “When。have you bought that sweater? I've “I bought it last week. Do you like 。 it?" (大阪樽蔭女子大) onalq sdt oaud anuod sinw of bert s 3. She 。is resembling her mother。 in appearance, a but not in personality. (立命館大) (2 ono er a1as d We're visiting Tokyo Disney Resort this 。 Coming Saturday. I hope this weather held till the weekend. 4. の loorse o aurd (明海大) ayaid ym seusコad 5. oam living in Osaka 。 for over a year now, but I。 still don't know 。my way around. id md! I 2 ni sToris (立命館大) 6. Peter。hasn't gone to work yesterday; he。wasn't feeling 。well and。took the day off. or w Tod nO の 3 hig shit ort Toordoe his aucne の TSa (俳教大) 7. Jane was drer with Paul because he 。didn't notice she 。 has changed her hairstyle. angry の 2 (東邦大·改) i sberm ② yd vanui sbm ③ yd 1o nui gnblem (n It was pos 8. You can watch TV。when you , will have finished。doing your homework-but not の 3 before! (学習院大) 語いイディオム」 空所に入れるのに最も適当なものを1つずつ選ベ。 )abprm asw 2.5分 各2点 Tisw 2nitigw ③ 1. Smoking is often condemned because of its bad effects ( ) people's health. However 3) on ① in 2 of (4 to (立命館大) 2. Hi! It's me. I'm sorry I'm late. I'm running ( ) the direction of the ticket gate. Ill be with you in a minute. 0 in (大a日) (センター試験) 2 of 3) to の within same hotel ) for personal computers has dramatically increased recently. の demand 3. The ( sC (愛知学院大) (大) ① importance ② supply ③ dependence That gentleman ( ① putting on black ② wearing in black ③ dressed in black ④ wears black 4. )is my English teacher, Mr. Smith. (東京薬科大) 01 bhow 5. Is this your first visit ( ) America? (日本大) 1 to ② of 3 in 4 at

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English Senior High

画像の問題を教えてください‼︎🙇🏻‍♂️

1 以下の英文を読んで,次の問いに答えなさい。 red, the color that teachers long have used to grade papers. Parents objected po。 5 writing, they asserted, was stressful. So the principal put red on the blacklist. Red has become so negative that some principals and teachers will not touch (1) Joseph Floriska*, principal of Stevens Elementary in Pittsburgh, has teachers grade with more pleasant-feeling tones* so that their instructional messages do not seem as critical or insulting. “There's been a broad shift in grading. It's taken 10 a turn from Here's what ( it. (2a) )' to Here's what( (2b))" Floriska said. “We're still pointing out mistakes, but the method in which it's delivered is more positive." da T imuibom サっd e adT Purple has emerged as a new color of choice for many educators. That is a Sound approach, said Nancy Eiseman, a color specialist on the ties between colors 15 and communication. Purple may be rising in popularity, Eiseman said, because teachers know it is a mix of blue and red. "You still have the element of danger the red - but it's kind of subtle, hidden. directed at students." It is in the color, rather than being But reading and writing specialist Janet Jones helps teachers take (s) a different 20 approach. The students at Berry Elementary School in Waldorf, Maryland, edit* each other's papers, so that, by the time teachers add their markings, the colors they use aren't that important. "I don't think changing to purple or green will make a huge difference if the teaching doesn't go along with it," Jones said. “If you avoid the color red, the students might not be as frightened, but they also might not become better writers." 記事使用許諾: AP Images 主)grade 「~を採点する」 edit「(~に)手を入れる,(~を)修正する」 Joseph Floriska 「ジョセフ·フロリスカ (人名)」 tone「色調」

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