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Mathematics Senior High

数Cの複素数平面の問題です なぜ(4+i)-α=i(3iーα)になるのかが分からないです どなたか回答お願いします🙇

先生 があることに注意しましょう。 つまり、 条件を満たす点Aは2通り が考えられます。そのうちの一方は, 千晴さんが導いた等式を満た す が表す点です。 もう一方の点を表す複素数をβ とするとBは, 4点α, 3i, β,4+iをこの順に結んで得られる四角形の形状を考え らの距離を2倍する B-10 先生: 複素数平面上の3点A, B (3i), C (4+i) を頂点とする三角形が AB=ACの直角二等辺三角形であるとき, 点Aを表す複素数を求 めてみましょう。 太一さん: 点Cは、点Bを点Aのまわりに90°回転した点とみることがで きるね。 七海さん : ということは,点Aを表す複素数を」 とすると, -=90° になるね。 (4+i)-a 3i-a 千晴さん: それに AB = AC だから. えれば解けそうだね。 先生: 点Aのまわりの回転を考えるとき, 時計回り、反時計回りの2通り があることに注意しましょう。つまり、条件を満たす点Aは2通り が考えられます。 そのうちの一方は,千晴さんが導いた等式を満た すαが表す点です。 もう一方の点を表す複素数をβ とすると, βは, 4点α, 3i, B, 4+ i をこの順に結んで得られる四角形の形状を考え ると,比較的やさしい計算で求めることができます。 arg よって (4+1)-a 3i-a 上の会話を参考に. 次の問いに答えよ。 (12点/各6点) (4+i)-a (1) = cos90°+isin 90℃ を満たすα を求めよ。 3i-a 解 cos 90° + is in 90°= i であるから (1+i)a=i(3i-α) 整理すると (1-i)a=(a+i)-3i²=7+i a= = cos 90°+isin 90° と考 7+i (7+ i)(1+i) _ 6+8i 1-i = (1 - i)(1+i) 2 ·=3+Ai

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English Senior High

5(3)について質問です。 No other thing is as hard as diamond. と書いたのですが、これは○でもいいのでしょうか。

-) ) 2.「…すればするほど、ますます」 V' .... the + 比較級+S+V~〉のS+V が省略されて The sooner, the better. 「早ければ早いほど良い」 となる 3. 「週1日、その年の中で最も...な」 <the + 最上級 + 名 詞 + of the week [day. year])。 4. far 「遠く、さらに」 は2種類の比較級・最上級を持つ。 距離を表す場合は far-farther-farthest, 程度を表す場合は far-further-furthest となる。 副詞の最上級では the は付 けても付けなくてもよい。 5. 「~した中で最も・・・な」 <the + 最上級+名詞+関係詞節〉。 5英作力を磨く 1. Which country has the third largest population? 2. This is one of the best robots ever made. 3. Nothing is as hard as [harder than] diamond./ Diamond is harder than anything else./ Diamond is the hardest (of all). 解説 1. 「この国は人口が多い」 This country has a large population. この文の下線部を the third largest に 変えて, 疑問詞 which を使った疑問文にする。 3. 原級 比較級を使って最上級の意味を表すことができる。 6 入試問題に Try 1. ⓘclean 3. ④ the second most 2.③ by far 解説 1. 「日本ほど清潔な国はない。」 〈No other+B (単 数名詞)... as +原級 + as A〉の形。 2. 「ニューヨークはずば抜けて大きい都市だが、 アメリカ のいくつかのほかの市もかなり大きい。」 最上級を強調す る場合, by far または much を使う。 「「ヘビーローテーション』 は2010年の日本のヒットチ ャートで2番目に人気があった歌だ。」 41 3. 金曜日は週の中であなたが最も忙しい日ですか。 4. Who throws a ball the players ? 5. それは,これまでに経験した中で最もつらい出来事だった。 Is Friday of the week for you? その選手たちの中で誰がいちばん遠くまでボールを投げますか。 XA It was the 5 英作力を磨く 1. どの国の人口が3番目に多いのですか。 /3. 次の日本語を英語に直しなさい。 [総合] 2. これは,これまでに作られた中で最も良いロボットの1つです。 X = ダイヤモンドほど硬いものはない。 Hints 1. 「~の人口が多い」 ~ has a large population 6 入試問題にTry ( 1. No other country in the world is as ( 2 cleaner ① clean 2. Although New York is ( quite large. ① a lot 3. "Heavy Rotation" was ( ① second more ever experienced. に入る最も適切な語句を①~④から選びなさい。 総合 ) as Japan. 3 more clean (2 as much 2. 「これまでに作られた~」 ~ ever made (愛知工業大 (4) cleanest ) the largest city, several other cities in the U.S.A. are a (近畿 ③ by far (4) far more ) popular song on the hit charts in 2010 in Japan. (東京 4 the second most ③ second most ② the second more

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English Senior High

本文2行目のplacing って何を意味しているのでしょうか? 教えていただきたいです!

次の英文 [A][B] [C] の内容に関して (27) から (38) までの質問に対して最も 3 適切なもの、または文を完成させるのに最適切なものを1.2.3.4の中から~ C [A] From: Noel Lander <noel@coffeeshopsupplies.com> <thedaydreamcoffeeshop@goodmail.com> To: Gary Stein Date: June 5 Subject: Your order Dear Mr. Stein, Thank you for placing an order by telephone with Jenna Marks of our sales department this morning. The order was for 500 medium-sized black paper cups with your café's name and logo printed on them. According to Jenna's notes on the order, you need these cups to be delivered to you by Saturday. I am sorry to say that we do not have any medium-sized black coffee cups at this time. What is more, the machine that makes our coffee cups is currently not working. The part that is broken was sent for repair the other day, but it will not be returned to our factory until Friday. Because of this, I am writing to you to suggest some alternatives. If you really need black cups, then we have them in small and large sizes. However, I guess that size is more important than color for you. We have medium-sized coffee cups in white, and we could print your logo on these instead. We also have medium-sized cups in brown. We are really sorry about this problem. Please let us know which of these options is best, and we'll send you an additional 50 cups for free. Our delivery company says we will need to send the order by Wednesday so that it arrives by Saturday. Please let me know your decision as soon as you can. Sincerely, Noel Lander Customer Support Coffee Shop Supplies

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English Senior High

代名詞の範囲なのですが添削をお願いしたいです ちょっとした解説もしていただけるとありがたいです! お願いします! 1-1 13-3 2-3 14-2 3-2 ... Read More

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Resolved Answers: 1
English Senior High

これらの問題なのですが、正解以外の選択肢はここの形に当てはまらないから間違いだと認識すればすぐに終わることだと思うのですが、なぜ間違いなのかが具体的に分からないと頭がモヤモヤして先に進めなくなる現象が起きています、、、 どうすればいいかの対処法とそれぞれの問題の解説(正解以... Read More

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Resolved Answers: 2