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数学 高校生

数Cの複素数平面の問題です。(1)では場合分けをしなかったのに(2)では場合分けをする理由が分からないので教えて欲しいです。

515 重要 例 96 複素数の極形式 (2) ****** 偏角の範囲を考える ①①①①① 次の複素数を極形式で表せ。 ただし, 偏角0 は 002 とする。 (1) 指針 cosa+isina (0<α<z) (2) sina+icosa (0≦x<2π) 基本 95 既に極形式で表されているように見えるが, (cos+isin●) の形ではないから極形 式ではない。 式の形に応じて 三角関数の公式を利用し, 極形式の形にする。 (1)実部の符号 - を + にする必要があるから, cos (π-0)=-cos0 を利用。 更に 虚部の偏角を実部の偏角に合わせるために, sin (π-0)=sin0 を利用する。 (2)実部の sin を cos に, 虚部の Cos を sin にする必要があるから, COS (一)=sine, sin(10) 0 =cose を利用する。 また、本問では偏角 0 の範囲に指定があり, 002 を満たさなければならないこと に注意。特に(2)では,αの値によって場合分けが必要となる。 3章 138 複素数の極形式と乗法、除法 CHART 極形式 (cos+isin) の形 三角関数の公式を利用 (1) 絶対値は 解答 また cos(b)=-coso sin(π-0)=sin O √(-cosa)+(sina)=1 -cosa+isina=cos(π-a)+isin (π-α) SI...... 1 <<πより,<<πであるから,①は求める極偏角の条件を満たすかど 形式である。 (2)絶対値は また ここで TC √(sina)²+(cosα)²=1 (+1-31 32 sinaticosa=cos(a)+isin(カーム) 0≦a≦のとき,nus であるから、求め る極形式は sinaticosa=cos π <α <2のとき 2 うか確認する。 cos(1-0)=sino sin(-)-cos 0 D 2 10≦x<2πから -as. ゆえに、αの値の範囲に (-a)+isin(-a)+ 180 よって場合分け。 5-2 232 V <<2のとき、偏 TC -a<0 2 π (各辺に2を加えると, --α<2であり 2 cos(-a)-cos(-a). 5 0 2 COS 2 sin(-)-sin(27) 10)805) 2sin(+2nx)=sin◆ 角が0以上 2 未満の範 囲に含まれていないから、 偏角に2を加えて調整 する。 なお cos( +2nx)=cos よって、 求める極形式は sina+icos a=cos(-a)+isin(-a) [n は整数 ] so 次の複素数を極形式で表せ。ただし、偏角0は002とする。求めよ。

解決済み 回答数: 1
英語 中学生

問2のイについてです 2枚目の写真が私の答えなのですが、3枚目の解答とはちがっていて....これでも丸もらえますか??

2.日本語に合うように()内の語句を並びかえ、英語で答えなさい。 ただし文頭に来る語も小文字にしてある。 (2点×4) (1) 私たちが去年聞いた合唱はとてもわくわくさせました。 The chorus (we / heard / was / last year / thát ) very exciting. (2) 戦争がないといいのになあ。 (3) 丸岡には約450年前に建てられた城があります。 (4) もし私があなたなら、先生の話を聞くのに。 I ( there / no / wish / wars / wére). Maruoka has (castle/d/bullt/ was / thaf) about 450 years ago. (were / if / you/I), I would ask the teacher. 3.次の英文は、 丸岡中学校英語科の先生方から卒業生のみなさんへの手紙の前半部分です。英文を読んで、あとの問いに答えなさい。 Hi, everyone. You are going to leave Maruoka J.H.S soon. You've been ( ① ) English hard for three years. We think that these three years are so precious, but also ( ② ) for all of you. Because of the emergency of COVID-19, you had to follow rules that made your lives tough. We want you all to enjoy your happy lives in the future. Here is some (③) through a person's life that you've ( 4 ) about in English and Japanese classes. His name is Hoshino Michio, a great Japanese photographer. Last year, the exhibition of Michio Hoshino was held in the Fukui City Art Museum. In Fukui, students use a textbook called “New Horizon", and the story of Michio has been told for about 20 years in this book. Besides, it was the 70th anniversary of his death. Many people remembered or learned about him through the exhibition. Michio was attracted by a photograph of the wilderness of Aldiskd. He decided to visit there and learned the skill of living without city conveniences. He loved the Inuit people and animals there. They also loved Michio. He also loved the nature there that was beautiful and severe. He said, “I love this place. It's cold here, so we go negy each other and talk about our lives. It makes our bodies warm. It makes our hearts warm, too. Because the weather is severe, people try to help each other, and become even better friends." His words give some hint to realize what a happy life is. Through the severe weather, he experienced both a tough and argreat life that satisfied him. (大問4に続きます) 注) anniversary 記念日 ~周年 hint ヒント 問(1) 本文中の(1)~(4)に入る最も適切なものを、下から選び、答えなさい。 (知・技点×4) 【 learned studying. hard advice 】 問(2) 次の質問に対し、 2語以上の英語で答えなさい。 (知・技 2点×2) ア How long has Michio's story been told in the textbook “New Horizon" ? イ What was Michio attracted by?

解決済み 回答数: 1
英語 高校生

(1)と(2)を全文並べがて欲しいです ちなみに答えは(1)3番目③ 6番目⑥ (2)3番目⑤6番目⑥

[1] 次の英文の文脈に適合するように下線部(1)~(5)の [ 内の語(句)を並べ替える き,それぞれ3番目と6番目にくるものを選び, その番号をマークせよ。 As shown by the recent trend of jimikon (simple weddings), more and more couples are [ avoiding ② ceremonies money. 6 6 to 7 wedding] ち 103 aims to reverse that. ③ elaborate ④ holding ⑤ save The VR (virtual reality) software a 24. Ateam is a Japanese smartphone games developer. Its app, named Sugukon VR, combining sugu (soon) with kon from kekkon (marriage), is used with headphones and goggles that people slip their smartphones into. It is unique because the videos are taken from the perspectives of both bride and groom. Other attempts at VR software merely imposed clients' images on magazine ads for wedding locations, but Ateam tried hard to make the experience more realistic by advancing to videos and audio. groom The video responds to one's movements. For example, with the goggles on, the can turn to see his bride in all her finery. If he then swings back, he sees the wedding guests. Couples can also use the software to check out wedding locations at hotel resorts 3 of 4 out ⑤ the expense ⑥ them overseas (2) avoid ②:: checking =4 160 person. Ateam's app uses the technology it developed for a horse racing game (3) [① from V+ 2 lets 3 players (4) race 2 0 to] in T⑤ that ⑥ the ⑦view] the point of view of a jockey. It 5 3. is a response to the fact that fewer engaged couples are holding elaborate ceremonies. According to a survey, approximately 670,000 couples get married every year but around 300,000 stop short of holding a wedding ceremony. This means (4)[①are ③ fewer 4 for for 2 2 chances 4 there ①to ⑦7 young people] attend weddings. The number of there people who do not know what to do in a wedding is increasing. A staff member at Ateam said, "By using VR technology, we can create a system so that (5) and 2 away 5 ✓perie ③ cannot ④_far ⑤ live 4 2 T⑥: relatives: :: ::⑦::K_who_ attend the wedding will still be able to experience it." Ateam will film different wedding locations in V₁ 0 Japan and other countries and allow clients to virtually experience them at their customer service counters. STEM

解決済み 回答数: 1