数学Ⅱの複素数と方程式の範囲です。 解答解説を見ても理解出来なかったので皆様のお力をお貸しいただきたいです。 特には解説の…①,…②,…③にどのような考え方をすればそうなるのかが分からないです。 よろしくお願い致します！

の解であるとき,αと共役な複素数 α=Dp-qi も(*) の解である。 a, b, c, d を実数とする.α=p+qi (p, qは実数)が, 方程式 149 共役な複素数解の存在 a, ax°+ bx?+ cx+d=0 Q 証明 aが(*)の解のとき, aa+ ba*+ ce+d=0. よって, aa+ ba°+ ca+d=0. a.+5-°+で.α+d=0. a(a)°+6(a)°+c(a)+d=0. (*)にx=« を代入 した式となっている。 したがって, α も(*)の解である。. ;一般に, nを2以上の自然数とするとき, 実数係数のn次方程式 …終 anx"+an-ix"-+…+azx+a;x+ao=0 2 においても, α=カ+qi (p, qは実数)が解ならば, α=Dカ-qi も解であること が同様に示せる。 -練習問題 129 x - ax 残りの解を求めよ。

専門学校の過去問を解いてみたのですが、回答がネット上にもなくて困っています。 みづらくて申し訳ないのですが回答はあっているか確認していただきたいです。 また、間違っているところが有れば正しい回答も教えて頂きたいです。

次の 1~10 ,の( 所定欄にマークしなさい。 )に入れるのに最も適切なものを1~4の中から一つ選び, その番号を解答用紙の 1 Iwonder ( )or not Tom will come to the party. 1. if 2. what 3, when 4.whether 2 Tell me about the rest.aurant( )you went t6.yesterday. 不完全 関心 O d フ 1.who 2,Ahat 3. where 4. whenever 3 My brgther promised ( ) smoke. not to 2. to not 3. to doesn't 4. doesn't to ちゅu t 4 Iremember ( )my uncle in Sydney when I was 10 years old, 1. visit 2. to visit Nisiting 4. visited C 5 Mr. Suzuki hgd his house ( Ne 4. to paint Shainted 1. paint 3. painting 6 Ihung a, calendar ( )the wall. 後納 4. with 1. gn 2. in 3. to 7ァ:9ジーをリP1ルたと思う? he moden ) reality. 「1 Kathy sometimes confvses fantasy ( 2. to 3. on 4. in 1. with せ話する tabe care cf my parents were away. 3.look 8\I had to ( ) after my brothers while 4. give 2. take look after ? 1. make )to Kenta's party. Maria is looking forward to ( 9 3. be invited 4. being invited 1. invite 2. inviting )as heathy as she is now. 10 If she hadn't played sports, she ( ちょいぎ 3. had been 4. hadn't been 2. wouldn't be 1. would be ]内の 1~5 の語(句)を並べ替え, 英文を完成しなさ 次の間 1~5 において, 日本語の意味を表すように, [ 11~20 II に入れる語の番号のみマークすること。 W。ただし, 解答は tinn (間1彼は一人で旅行できる年齢だ。 2 よく迷うやっ [1. by 2. enough 3. old 4. to 5. travel] 113 _4 125 by_himself vope He is [1. as 2. in 3. many 4. ten cars 5.were involved] 問2 10台もの車がその事故に巻き込まれた。 13 | 4_. 145 1.4の位置座 3 the accident. As 部屋をきちんと片付けておきなさい。 [1. be 2. kept 3. must 4. neat 5. room] 問3 5 153 L_ 162 4 and tidy. Your [1. hot 2. in my town 3. is 4. neither 5. nor] 間4 私の町の天候は暑くも寒くもない。 2 173 Y 18 1 5 cold. The weather 2,know 3.lives 4. 6.whose] 問5 私は息子がリバプールに住んでいる人を知っている。 【..a 5_ 20 4 Son I_2 19| 3. in Liverpool.

あってますか？

1.彼らは先生からの直接の指示がなければ何もしないだろう。 They won't Odo anything ②with direct orders ③from Otheir teacher. 2. 彼女はコーチの忠告に従わなかった。 She didn't Ofollow the ②advice ③that her coach @give her. 3. 私たちの健康問題の多くは、食事のとり方が悪いことに由来する。 OMany of 2our health problems Oare the result @in a bad diet. JB9ed tomitx Iainaly 4. もしスージーが行くことができたなら、 彼女に会議に行くように頼んだだろう。 OIf Susie had@been available, I ®would have asked her @go to the meeting. 2

この問題の解き方が解説を読んでも分かりません💦 御手数ですが(1)(2)を教えて欲しいです

2 OA=a, OB=2a, OC=3a のとき, △ABCの面積と,点Oから平 AABC の垂心Hに対して, OH平面8 であることを証明せよ, 1A 題31 80で直交する3の千国線OX, OY, 0Z と平面8との交占をるれ れA, B, Cとする.86 85 面8までの距離を求めよ. . 平面8上の交わる2直線が OH に垂直 → OH上平面8 (1) CHの延長と ABの交点をDとすると, CDIAB さらに, CO」平面 OAB であるから, 三垂線の定理 より, したがって,平面 CODLABであるから, OHLAB …① 同様に, BH の延長と ACの交点をEとする と,平面 BOEAC であるから, OHIAC…2 0, 2より,OH は AB, ACに垂直となるか ら,OHI平面 ABC よって, ODIAB EF 10 X/A D OHI平面B (2) △OAB=-×AB×OD= ×OA×OB より, (2) △OAB=×AB×OD== 2 AB×OD=OA×OB ここで, AB=/OA+OB?%3D/5aより, 『5a×OD=a×2a OA=a 2時 OB=2a OD= -a したがって, CD=OC+OD°=プ5 -a 7 }xAE -XAB×CD よって, △ABC=×5ax AABC= -a? a= (三角錐 O-ABC)=-×△ABC×OH= -×△OAB×C0 より, . △ABC×OH=△OAB×CO よって,子が×OH=(}xax2a)x3a より。 OH=a 7 -xa×2a)×3a より, Focus 第9章

答えがないので、あってるか教えて下さい！

IV. 次のメールを読んで問1~3の設問に答えなさい。 Subject: Notice of ( 1 ) unavailability of our website Dear Customers: We are going to make an overall/revision to our website to make ( 2 ) more convenient for customers.(3 ) this revision, all services on our website will be unavailable during the following ( 4 )and times: April 16", 2017 (Sunday) 10:00a.m.-2:00p.m. The working hours might be changed slightly without notice. If you have any questions ( 5 this renewal, please ( )free to contact us at the below phone number or e-mail address. Phone number: (228) 458-9604 (Weekdays 9:00a.m.-6:00p.m.Weekends 9:00a.m.-3:00p.m.) E-mail address: mikihome@bra.com (There are cases when our response is delayed.) We apologize ( 7 )any inconvenience this may cause you. Thank you for your understanding. Yours truly, Chris Morgan 問1(1)~(7)に入る最も適切な語句を0~④のうちから一つずつ選びその番号を書きなさい。 の temporary ④ busy (1)(O /short の in term のit ③ very O you のSince Due to の Starting with の Because の /date day ③ month ④ appointment ④ are concerning の feel Concern to concern 3 doncerning 0 be stay 3 make 0 in の) for it の to - 108

英検2級ライティング問題です。添削お願いします！特に複数なのか単数なのかはっきりしないところが多かったので、そこを特に見ていただきたいです。写真見づらくてすみません🙏

以外の観点! 1エ ●語数の目安は80語~100語です。 をよく読んでから答えてください。 TOPIC Some people say that people will stop using cash in the m future. Do you agree with this opinion? 現金とその代わりの方 法のメリット·デメリナ トを比較しよう。 POINTS ● Security ● Convenience ●Hahit

2人の意見の文章からレポートをつくるときのタイトルは1人の意見だけについてのタイトルでもいいんでしょうか？？ この問題では解説には2人目が日本人女性の話してるからとありますが、1人目も日本人女性の話軽くしてますよね。もし1人目の人が日本人女性の話してなくてもレポートのタイ... 続きを読む

You are doing research on people's sleeping habits. You found two articles. Japanese women sleep less than 7 hours each day. For some people, that might be enough, but for many others, it could cause some problems in the sleep a little more than eight hours and a half on average, which seems It looks like people in my Country are doing fine. Both men and women Around the globe, the amount of sleep that people get every night has long run. Japanese people, especially women, would need more sleep. 50 第4問 (配点 16) o 第2回 実戦問題 51 Average time per day spent sleeping in selected OECD countries plus China, as of 2016 How Long Do Peopleinthe World Sleep? by Kim 9:0 9:00 9:30 8:52 8:38 8:33 8:26 July, 2018 9:00 8:30 been steadily decreasing since the 1970s. Many believe that the w technology has contributed to that decline, since it frequently disrupts o 第 8:00 7:367:52 ■Women 7:30 ロMen sleep. The graph below shows the average sleep time for men and womon 7:00 in five countries. 6:30 One noticeable point about the graph is the length of sleep for Chinese people. No one around me sleeps more than nine hours a day, except for 6:00 China USA Australia France Japan small children. How can they sleep so long? One possible explanation could be that the ratio of people working in the primaryindustry in China is very high (27.0%). Those of the other countries are between 1.4% (USA) and Opinion on “How Long Do People in the World Sleep?" 3.4% (Japan), according to the International Labour Organization (ILO) statistics. People doing physical labor might need more sleep. by Yoshimi Ito August, 2018 As Kim mentioned, Japan has to deal with the problem of short sleep. Japan shows a marked contrast to China. Japanese men sleep one hour and eight minutes shorter than Chinese men and Japanese women sleep However, that is not all. As the graph shows, women in our country sleep bour and 28 minutes shorter thanChinese women, It may not be a big sixteen minutes less than men. We should address the issue of gender gap, deal if all Japanese women slept more than seven hours and 36 minutes. Dt this “seven hours and 36 minutes 1S the average, which means a lot of too. One thing I would like to point out here is that Japanese men spend much less time on housework than women. In 2011, women spent three hours and 45 minutes a day on housework (care for household members plus routine housework) while men spent just 31 minutes, according to OECD data. It is common to see wives who work full-time do most of the housework as well. The sad truth is that there are still many men who quite appropriate to me. seriously believe that housework mustbe done by women. We might have LO start by making them change this kind of mentality. n my opinion, two things are certain. First, many Japanese are not deal with these problems right away. 無2回

問1 英文に文化は農業にシフトしたってあったから、選択肢③の狩猟や採集に加えてっていうのがひっかかったんですが農業にシフトしたのはseveral cultureだからでしょうか？それとも農業にシフトしたっていっても完全にはシフトしてないからですか？？

Modern humans evolved in Africa about 200,000 years ago and began You are studying about the world population. You are going to read the Then just 12,000 years ago, several cultures shifted from hunting and migrating to other parts of the globe about 100,000 years ago. Our earliest ancestors relied on hunting and gathering their food to survive. Only a finite number of people could be supported on the wildlife in an area for a to control its own food supply. Civilizations grew and so did the human 30 B*★★ following article to understand how the world population has grou limited amount of time. gathering to farming. Humans became the first and only species a population. About 2,000 years ago, the estimated world population wo. 170 million people. The largest civilizations at this point in history wew. the Roman Empire and the Han Dynasty in China. The next 1,700 years were marked by the growth and conquest of empires, global navigation and exploration. People had yet to understand the science behind life and death, or how to prevent and treat most diseases. As a result, many children died young. Our global population grew, but slowly, reaching / angh waibdlie, aumans in Alfs about 500 million around 1500 and 1 billion by 1804. By the late 1700s, the world was embarking on the Industrial Revolution, a period of history in Europe and North America, where there were significant advances in science and technology. The Industrial Ainge and Chia Revolution brought the invention of the steam engine and the use of mlontrl the l ie Romam humans start electricity. During this period, there were also many inventions that promoted longer life. These included improvements in farming, nutrition, medicine and sanitation. Now, people were able to fight once-deadly Banpe and germs, produce more and different kinds of food, and cure more illnesses. Before long, these new discoveries and inventions spread throughout the world, lowering death rates, especially among children, and improving people's quality of life. Now you might be wondering what happened to the birth rates while the death rates were coming down. In Europe and North America, on re attes sa/and lar mle Acoher thar deuath pgoulatron had doudled to ton er bitkien br1974(0m pits decran groo tas beer oing Dulton pes Hamans fiaing adut.

イ、ウで合ってますか？

1.1 would greatly appreciate it if you could send me a more [] itinerary for my business trip starting on May 10. (ア) special (イ) specific (ウ) specialised (エ) species 2. His presentation disappointed all the managers [] at the conference. (ア) available (イ) convenient (ウ) participatory (エ) present

616の文章について質問です。 Your assignment this seminar が、 Your assignment of this seminar の方が自然だと思うのですが、ofはなくても文法的には正しいのですか？ 正しいのなら正しい理由を教えていただきたいです。

B.彼は頭のよい若者で,彼の作品を見ると将来有望なのがわかる。 ) this semester is to write a research paper in English. Theme Tom is unemployed, so he is looking for ( ) の job 614 614 ③ works 2work (札幌学院大) Da work You've done a good ( 2 trade ) raising your kids. ③ occupation Ojob 615 O work (西南学院大) 616 Your( 2 attitude ③ assignmentOwage 615 (1) reason (立命館大 617 Mary told me about her occupation. 2 profession 3 dream の assignment (東海大) O hobby 616 Theme 156 617 【共通の1語を入れよ) A. Give me your ( 618 (早大) ) that you'll never do that again. Pc B. He is a bright young man and his works show great ( 619 Did you call the dentist and make ( ) for the treatment? 頻出 ②a promise a reservation D an appointment 3 an engagement (芝浦工大) 620 ) for the express train that leaves at 6 p.m. ② an appointment T'd like to make ( Da promise ③asubscription TI ④areservation (近畿大) 618 619 620 Po 614 (2)トムは失業しているので, 仕事を探しているところです。 615 ()君は子育てをうまくやってきました。 616 (3)今学期のあなたの課題は英語で研究レポートを書くことです。 617 (2)メアリーは自分の職業について私に話した。 618 (promise) A.二度とそんなことはしないと約束してください。 619 (1) 歯医者さんに電話して, 治療の予約をしましたか。 620 (0) 午後6時に出発する急行列車の予約をしたいのですが。 ロロロロコ□ロ ロロロ ロロロ □□■ □ロロ ロロロ ロロロ ロロロ