学年

質問の種類

数学 高校生

回答に書いてあるアルファベットの上のバーは何を表しているのですか? 赤い印のところは上の式から下の式にする時、なぜ10-3iがプラスからマイナスになるのですか? 青い印のところは上の式から下の式にする時、黒い棒のところのバーはなぜ無くなるのですか? 数3の黄チャート、... 続きを読む

13 基本例題 4 共役複素数の性質 (1) OOOOの (1) 複素数zが, 3z+2z=10-3i を満たすとき,共役複素数の性質を利用 して,えを求めよ。 (2) a, b, c, dは実数とする。3次方程式 ax°+bx°+cx+d=0 が虚数α を解にもつとき,共役複素数 α も解にもつことを示せ。 b.9 基本事項 4 CHART 両辺の共役複素数を考える (1) 共役複素数の性質を利用して2とるの式を2つ作る。 zとzの連立方程式 と考え,えを求める。 (2) x=Q が方程式 f(x)=0 の解 → f(α)=0 OLUTION 解答 (1) 32+2z%3D10-32 ·① とする。 0の両辺の共役複素数を考えると 3z+2z=10+3 32+2z=10+3i すなわち 22+3z=10+3i 32+2z=10-3i *共役複素数の性質を利用。 α, Bを複素数とすると a+B=Q+B 更に,kを実数とすると ka=ka, α=α よって ゆえに 2 の×3-2×2 から 5z=10-15i ゆえに ス=2-3i (2) 3次方程式 ax+bx°+cx+d=0 が虚数αを解にもつか ら aa+ ba?+ca+d=0 が成り立つ。 両辺の共役複素数を考えると *x=Q が解→ αを代入すると成り立つ。 aa+ba°+ca+d=0 aα+bα+ca+d3D0 ag+hg°+co+d%D0 *a, b, c, dは実数であ るから a=a, b=b, c=c, d=d, 0=0 よって ゆえに すなわち a(a)°+6(α)+cα+d=0 これは, x=Q が3次方程式 ax*+bx°+cx+d=0 の解で あることを示している。 よって, 3次方程式 ax°+ bx°+cx+d=0 が虚数αを解に もつとき,共役複素数 α も解にもつ。 また INFORMATION 実数係数の方程式の性質 実数係数のn次方程式が x=α を虚数解にもつとき, 共役複素数 x=α も方程式の 解である。

解決済み 回答数: 1
数学 高校生

(2)の問題 二枚目の写真は自分で計算してみて(z-y)(x-y)(x-z)になったけど、これってあってることになりますか?そうじゃないと、なぜ違う??

基本例題1.5 因数分解(対称式·交代式) 次の式を因数分解せよ。 (1) a(b+c)?+b(c+a)*+c(a+b)?-4abc (2) x(y°-2)+y(2?-x')+z(x°-y) 28 ;足 CHART OSOLUTION 対称式·交代式の因数分解 1つの文字について降べきの順に整理する ートフォ x+●x+ 解答 研 Libra= aについて降べき。 理する。 (1) a(b+c)+6(c+a)°+c(a+b)°-4abc =a(b+c)+6(c+2ca+a')+c(α+2ab+6°)-4abc =(b+c)α°+{(6+c)?+26c+2bc-4bc}a+bc?+6°c =(6+c)α+(b+c)?a+bc(b+c) =(6+c){α°+(b+c)a+bc} =(b+c)(a+b)(a+c) =(a+b)(b+c)(c+a) 山 人 1 a+●a+ 介 (b+c)が共通 ー4£ 籍掲載。 *これを答えとして できま 介輪環の順に整理 xについて降べきの。 (2) x(y°ー2)+y(2-x)+2(xーy) =(-y+z)x°+(y°ー2)x+yz-y°z =-(y-z)+(y+2)(y-z)x-yz(y-2) =-(y-z)(x"-(y+z)x+yz) =-(y-z)(x-y)(x-z) 理する。 教科 数学 (y-2)が共通路」 理科 DG-3 合これを答えとしても (xー2)(216)(-x)= *輪環の順に整理。英語 INFORMATION 国 3つの文字についての式は, なるべく 輪環の順に書くようにすると 式が見やすく,書き落としや間違いを防ぐことができる。 ※2 動 和:a+b→b+c→c+a 積:ab→ bc-→ ca 10-0ーコ-91-5: RACTICE … 15®次の式を因数分解t α'b+qhf+

解決済み 回答数: 1
英語 中学生

至急!!!!! この問題を教えて欲しいです😖

Lesson 24 読解力をつけよう 501 Words 目標 6 分 ◆次の英文を読んで,あとの問いに答えなさい。 〈愛媛改) One day in September, Mr. Suzuki, an English teacher. took a new foreign English teacher to Yuki class. He said, “This is Mary, your new ALT. Mary. this is your first class, so could you taiK aboue yourself?” Mary said, “OK. A everyone. I'm Mary. I'm from Australia. I learned Japanese in college in Australia. I'm very excited to work as an ALT. Let's enjoy today's English class." 5 A few weeks later, Mary talked with her friend, Lucy. Lucy said, “Do you like music, Mary?" "Yes, of course," said Mary. Lucy said, “[ ア ] I've practiced the koto for about three months. I feel very relaxed when I'm playing it," Mary said, “I want to practice it, too, Lucy." “You can practice it with me next Saturday," said Lucy. “Really? I'm happy to hear (B)that," said Mary. The next Saturday, Mary had her first koto lesson. After that, she talked with Lucy's Japanese 10 friend, Naoko. Naoko said, “Some foreigners are practicing the koto for an international festival. Itn be held in January next year. said Mary. C Mary?” “Sure. Ill practice the koto hard for the festival," One day in December, Mary talked about the international festival in Yuki's English class. Mary said, “Tll play the koto with my friends at the festival, so I'm practicing it very hard now. Many 「5 foreigners will come to the festival. You can talk to them and learna lot of things about their countries there.” “[ イ ] I'll ask my friends to go there with me," Yuki thought. One month later, Yuki and her friend, Rika went to the festival. They found Mary. She was wearing a kimono. “You're beautiful1, Mary,” said Rika. “[ ウ ] Thank you, Rika. My friends and I will play the koto soon. I'm very nervous,” said Mary. “Don't worry, Mary. You've practiced the koto very 20 hard. Please enjoy playing the koto," said Yuki.“Thank you, (D)I will," said Mary. Their performance was very good. Yuki and Rika took some pictures with Mary after the performance. There were many kinds of foods from different countries at the festival. Mary made cookies at home and brought them to the festival. Yuki and Rika ate some of her cookies and they were very good. They also ate curry made by people from India for lunch. It was a little hot, but very good. 25 After lunch, Yuki and Rika talked with Mary's friends in English. Mary helped Yuki and Rika, so Yuki and Rika understood them and learned some things about cultures of their countries. Yuki and Rika enjoyed the festival very much. Yuki came home and talked about the festival with her mother and father. Her mother said, “Yuki, you had a very good experience at the festival.” Yuki said, “[ エ ] There were a lot of people from 3C other countries at the festival. They learned about Japanese culture. Now I want to learn more about Japanese culture, too." “You should know more about Japanese culture. It's also important when you want to understand cultures of other countries better,” said her father. foreign 外国の ALT 外国語指導助手 koto こと(第) relaxed くつろいだ lesson けいこ, レッスン foreigner (s) 外国人 international 国際的な be held 開催される nervous 緊張した performance 演奏 cookie (s) クッキー India インド hot からい experience 経験

解決済み 回答数: 1
英語 中学生

訳して欲しいです🙏

M: Welcome to City Library. My name is Brian, and I'mavolunteer guide here. Before you enjoy our library, I'd like to tell you some things about this library. This building was built in the seventeenth century, and it was originally usedas a museum, so you can still see some paintings here. Our library is especially famous for several oil paintings from Europe. If you'd like to know more about the history of this building, we have a great program at the theater on the first floor. We show a movie about this building twice every hour. You need to get a ticket for the movie at the information desk, but the ticket is free. Now, I'll tell you some rules and information of our library. First, you cannot take pictures of the paintings on the second floor. However, you may take pictures here on the first floor. Second, do not eat or drink in any rooms in this library. If you get thirsty or hungry, there's a cafeteria next to the theater. Pizza and spaghetti are served for lunch between eleven a.m. and one p.m. Also, you can get some snacks there all day long. The library closes at five o'clock. There is a gift shop on the first floor that stays open until six p.m. You can get gifts, such as cups and Tshirts, for your family and friends. Als0, there is a nice, quiet garden behind this building. Many people enjoy reading books there. The garden closes at the same time as the library. OK, now please enjoy our library! te mee

解決済み 回答数: 1