(1)の始めに点Cを移動させて点C´を使っていくのですが、なぜ点C´が(γ+β-δ)と求まるのかがわかりません…。 お願いします！😭

よ。 [04 茨城大] 8 (1) a, B, Y, 8を互いに異なる複素数とし, 複素数平面上でこれらに対応す る点をそれぞれ A, B, C, Dとする。このとき, ABと CDが垂直とな a-B ア-8 (2) Oを複素数平面上の原点とする。 3点0, A, Bが三角形をなすとき、 △OAB の頂点 A, Bよりその対辺 OB および OA に下ろしてできる2つ の垂線の交点をPとする。このとき, OP と ABが垂直であることを、 (1) を使って示せ。 ただし, △OABは直角三角形ではないとする。 るための必要十分条件は, が純虚数となることである。これを示せ。 [14 名古屋市立大]

この問題の(2)の解説で糸の張力の水平成分が~~のところの「mgtanθ」というのは何を表しているのですか？

基本例題28 円錐振り子 基本問題 203, 204, 205 図のように,長さ!の糸の一端を固定し,他端に質量m のおもりをつけて, 水平面内で等速円運動をさせた。糸と 鈴直方向とのなす角を0,重力加速度の大きさをgとして, 次の各問に答えよ。 (1) おもりが受ける糸の張力の大きさはいくらか。 (2) 円運動の角速度と周期は,それぞれいくらか。 0:0, 指針 地上で静止した観測者には,おもり は重力と糸の張力を受け,これらの合力を向心力 として、水平面内で等速円運動をするように見え m(Isin0)=mg tan0 6 OSO01 A ーの lcos0 27 周期 T は, T=- =2元, り 6

17の(1)で、画像の部分が分かりません！ 教えて頂きたいです！！

O17 (1) nを自然数とし、α=cos0+isin0. 0%0<2πとする。このとき, 2元 fcos 0 +isin- n 0 の=COS 2元 -+isin- cosr +isino) +1 Wo=COS n n n 2-1 とおくと、方程式2”=«のすべての解は co,"wao, w'ao, ……, w"-lco で与えら エーモ isin(a れることを示せ。 元 COS 6 (2) 方程式2°+3iz?-3z-28i=0のすべての解を求めよ。-1-)【信州大])→16 よ

その3つの訳を教えてください！

As part of a famous experiment a series of rapid flashes* advertising an ice cream was inserted in the middle of a film. 2 While it is dificult for most adults to learn to speak a foreign language perfectly, without an accent, a child readily learns as its “native” language the one it hears spoken by the people around it as it first learns to speak. cldal 3 This learning - learning to improve human relationships is the greatest challenge to human beings. On the ability of individuals to learn to live in harmony with others depends the future of mankind and the world. apsl

英語表現です！解いていただけると助かります！

教科書 pp.116~118 代名詞 on al pnutton erso "Ineje" dfiw aAny。 Option 2 人称代名詞 > we. you, they がば くぜんと「人々」をさ すことがある。 >所有代名詞: 「~のも の」=〈人称代名詞の 所有格+名詞) >再帰代名詞:他動詞や 前置詞の目的語が主語 「Fill in the blanks and complete the sentences. 0O ) have a lot of snow in winter in our hometown. 私たちの故郷には、 冬にたくさん雪が降ります. ) say that her husband is an actor. 彼女の夫は俳優だと言われています。 ) house is bigger than ( uman Aト と同じ人物やものの塩 あなたたちの家は彼らの家よりも大きいです。 ) lying in the forest. ふと気がつくと, 彼は森の中に横たわっていました. 9304イ 4. He found ( 合に用いる。 5. The children dressed ( ) cheerfully. wir ton ste o C p 子どもたちは,うきうきした気持ちで服を着ました。 6. Ryo set a new record. (1o srto2 ) surprised us. lieme リョウは新記録を作りました. 僕らはそのことに驚きました。 7. Let's go back home. ( |リaohue )is getting dark. 家に帰りましょう. 暗くなってきています。isnidmoo-abiow sisitgon qs enit saoor) 0.9onene edt stolgmos 2 Put the words in the correct order to complete the sentences. itの用法 20gce fAG さす。 >前に出た語-句·文を 1. [the smartphone / to / games /it/fun/play / on/is ]. E >天候-時間·距離など を表す。 2OKOUE 200CL E >形式主語 形式目的語 になる。(→Grammar スマートフォンでゲームをするのは楽しいです. begna gogi t wor ( 2. [ think / that / it / study / children / necessary / should /I] about A environmental problems. Focus 12参照) 指示代名詞 vinb >人やものをさすthis [these] / that [those]. >前に出た節や文の内容 をさすthis/ that. 2Veb s about Lo environmental problems. 私は子どもたちが環境問題について勉強することは必要だと思います。 3. Good manners in my country [ in / different / are / country / those / >すぐ前に出た名詞の繰 your / sometimes / from ]. p COLLSC り返しを避ける that Good manners in my country fon ai by Tiin aeelo1omrV 私の国でのよい作法は,ときにはあなたの国のよい作法とは異なって [those]. vewoH 8ume います。 4.「speaking / to/ similar / of/ that / your way / is ] of your brother. Vobrioid of your brother. あなたの話し方はお兄さんの話し方と似ています。 5. [long/it/does / to / how / take ] get to the library? get to the library? 図書館に着くまでにどのくらい時間がかかりますか.

この問題教えて下さい！お願いします🙇

Paul: Hi, Maki. Maki : Oh, Paul! You're here! I was looking for you. My father gave me two movie *tickets for ABC *Theater yesterday. Would you like to go to the movies with me? Paul: That's great! Thank you. When are you going to go? 5 Maki: I'm thinking of going this Saturday Paul:OK. Oh, wait a mimute. This Saturday? I'm sorry I can't. I'll be very busy that day. I'm going to play baseball with my friends in the morning and visit my uncle in the afternoon. Maki : How about this Sunday, then? Paul:( 0) 10 Maki: Good! Let's go to the movies that day. Paul:OK. What movies are *on at the theater now? Maki :“August Moon” and“Goodbye, Friend” are on there. From this Friday, “A Dog's Life” will be on, too. My brother says“August 15 Moon” is very interesting. But I read “A Dog's Life” last month and it was very good. So I'd like to see that movie. Is that OK? Paul: Yes. Let's see that movie! What time and where will we meet? Maki: The movie will begin at twelve thirty. Let's meet at the station at twelve o'clock. 20 Paul:( 2 ) (2) 本文の内容に合うように次の質問に英語で答えるとき, ( 当な語をそれぞれ1語ずつ答えなさい。 ただし, 数字も英語でつづりなさい。 )に入る最も適 1〈質問>How many movie tickets does Maki have? 〈答え〉 She( 2〈質問> What will Paul do this Saturday morming? く答え〉He will ( 3〈質問> What time will Maki and Paul meet at the station? く答え〉 They will meet there (

比較のところの予習をしてるのですが、ここの答えを教えてください。 下の［　］から選んで適切な答えにする問題です。

Exers 1. そのニュースを聞いたら、かなり気分が良くなった。 I feel much after hearing the news. 1 Choose correct words and fill in the blanks. the 2. テレビの司会者にとって最も大切なことは、ユーモアのセンスである。 thing for television hosts is a sense of humor. Change the form, if necessary. 3. それはテレビの歴史上、2番目に長いコマーシャルだった。 That was TV commercial in the history of television. 4. テレビは、たいていラジオよりもずっと高価だ。 A TV set is usually much than a radio. [ expensive / good / important / large /long )

お願いします！

(1) Ken is in the gym. (疑問文に) (2) You walk to school every day. (疑問文に) (3) Mami visited her grandmother last week. (疑問文に) (4) Yuki studies English on Saturdays. (下線部をたずねる疑問文に) (5) Emi bought the bag. (下線部をたずねる疑問文に) (6) Her father lives in Akita. (下線部をたずねる疑問文に)

至急解答知りたいのでお願いします🙇🏻‍♀️

Henry II, who was King of England many years ago, introduced the idea that a ) according to evidence heard in court by a judge and a jury of twelve such as being made person( 1 people. ( 2) ,criminals were judged in many barbaric ways to grasp a red-hot iron. The hand was then bandaged for several days. If the( 3 ) was found not to have healed, then the person was guilty. Henry( 4 ) all this. For the next four hundred years, judges gave verdicts and punishments. However, kings and lords were able to force judges ( 5 ) decisions that suited them. Ordinary people wanted Parliament to control judges. In 1642, a war broke out between the supporters of Parliament and supporters of the king. The people, and the Parliament, ( 6 ) . From that time onwards, kings and queens have had to obey laws and have ( 7 ) to influence or dismiss judges. (1)(a) judged (b) should be judged (C) should be judging (d) should judge (2)(a) Accordingly (b) Consequently (c) Prior to this (d) Since then (3)(a) burn (b) evidence (c) fire (d) iron (4)(a) changed (b) healed (c) heard (d) punished (5)(a) made (b) make (c) making (d) to make (6)(a) judged (b) lost (C) surrendered (d) won (7)(a) been enable (b) been unable (c) enabled (d) unabled

解答は④なのですが、解説には4文目に｢倫理を強化すべき｣と書かれているためとありました。それが何故(オ)と繋がるのかが分かりません。

6 The great question for our time is how to make sure that the continuing scientific revolution brings benefits to everybody rather than widening the oan between rich and poor. To lift up poor countries, and poor people in rich gap countries, from poverty, technology is not enough. Technology must be guided and driven by( オ) if it is to do more than provide new toys for the rich. Scientists and business leaders who care about social justice should join forces with environmental and religious organizations to give political *clout to ethics. Science and religion should work together to abolish the gross inequalities that prevail in the modern world.. That is my vision, and it is the same vision that inspired Francis Bacon 400 years ago, when he prayed that through science God would “endow the human family with new mercies." (カ)