書いてあることが分かりません。噛み砕いて教えて欲しいです🙏

Check! 例題 56 剰余定理(②2) *** 整式P(x) を x2+x+1 で割ると余りはx+1, x-1 で割ると 余りは11のとき, P(x) を x1で割った余りを求めよ. (東京電機大改) 考え方 x-1=(x-1)(x2+x+1) である。"{S+(S-x)} P(x)=(x2+x+1)Q(x)+x+1,Q(x)=(x-1)Q'(x)+α とおくと,4より P(x)=(x2+x+1){(x-1)Q'(x)+α}+x+1のPC (2)=(x-1)(x2+x+1)Q'(x)+α(x2+x+1)+x+1 となる。 xxx +3 8420 ps & 解答 P(x) を x2+x+1 で割った商をQ(x) とすると、余りは 1 x+1 より. P(x)=(x²+x+1) Q(x)+x+1S......S=(S) 9 さらに,Q(x) を x-1で割った商をQ'(x), 余りを定数 aとすると,(-2)-(-2)+(-2)^+4=0 S + ( + ) 1 0 a=3 よって, 求める余りは, Q(x)=(x-1)Q'(x) + a2+z)Sm& .....(z) ② を①に代入すると, P(x)=(x2+x+1){(x-1)Q'(x)+α}+x+1 (2) P(x)=(x-1)Q'(x)+α(x2+x+1)+x+1 ……③ P(x) をx-1で割ると余りは11より, P(1)=11 * { s + (S-剰金の 剰余の定理 (28) +"(S-*) したがって、③より 0P(1)=a(12+1+1)+1+1=11 =(x-1)(x2+x+1)Q'(x)+α(x2+x+1)+x+1 とたるものであく 焼 Donos +2x+6 3(x2+x+1)+x+1=3x2+4x+4 1次式で割ったときの 余りは定数 約 BHS XD (7) 10 Jp12.50

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【ⅢI】 次の(A), (B)の設問に答えよ。 (A)14点,(B) 6点) (A) 次の英文を読んで下の設問に最も適切な解答をせよ。 特に指示のない選択式の設問は記 号を1つ選んで答え, "You may choose more than one option." と指示のある設問に対して複 数の記号を選ぶ場合は, アイウエオ順に解答すること｡ Mike: Hello Alex, long time no see! Alex: Hi, it's been almost two years since we last met each other! How were you doing? Mike: Until recently, I was frustrated that I could not meet my friends at university, but I was able to spend more time with my family, so I was okay. By the way, how did you like the online classes? Alex: Personally, I did not like them. It was difficult for me to maintain my concentration at home. Also, I could not resist the temptation of using my smartphone, because there was no supervisor at home who checked whether I was working hard or not. Mike: If you use your phone during class, the professor will definitely tell you off! Mo Alex: Another reason why I prefer in-person classes is that I can ask questions or have discussions with my friends. In the Pre-covid-19 era, when I had questions, I went up to my friend Thomas, one of the best students in our faculty and he taught me everything that I did not understand. Mike: That was a huge issue for me as well. If I have questions piled up, then I am more likely to dislike the subject and have more anxiety towards it. So, my friends and I decided to have meetings online on a regular basis and this helped me to worry less about online learning. Alex: That was really ( 1 ) of you, I should have done that! So, are you in favor of online learning? Mike: Yes, although I have less face-to-face interaction with friends, I like online learning more because I do not have to spend a lot of time commuting to school. I live far away from university and it takes two hours for me to get here by train. B(A) Alex: Really! I did not know that, what time do you wake up? Mike: I usually wake up at 5 am. Alex: That's so early! What do you do on the train? Mike: I just do netsurfing and I do not feel that I use my time productively on the train. If we can continue to take online classes wherever we want, we can get more flexibility in our schedules, We won't have take the time to commute to the university to attend classes, or if we like it, we may even be able to watch lecture videos on our phones while traveling by train. Alex: I understand your opinion, but didn't you have any technical problems? Mike: I only had a few. Besides, most of the professors posted recorded videos of lectures after class. So, I watched the recordings when I missed some parts. Furthermore, I could study at my own pace and the videos allowed me to digest what I had learned. Alex: That's a good point, but it had an adverse effect on my learning. Mike: How? Alex: I started skipping my online classes because I thought I could just watch those recorded videos later. So, just before exams, I had so many videos to watch. Mike: Maybe, traditional classroom settings might be better for people like you. Alex: I think so. Oh, it's time to go to class. Mike: Oh, yeah, have a good day. Alex: You too! 問1 NOTES Topic of the conversation: (2) Standpoint Basis Mike (3) (5) Choose the best one to complete blank 1. 7 because cruel clever I kind 2 Choose the best title to complete blank 2. 7 How to get good results at university Technical issues in online classes Safe remote learning at home I Online learning or learning face to face Alex (4) (6) -11-

見出しのThe BLUE White shirtの下に書いてあるThose who know…の文章の最後はなぜこのような表現なのですか？ their ownではなくthemselves などではいけないのでしょうか。

集 =) / -) ) The Blue White Shirt Check CIEN Check ck deck プリン した食感と と苦みのある →122 Those who know nothing of foreign languages ~する人々 know nothing of their own. - Johann Wolfgang von Goethe Lanilla フラメルが美味 - Home made す･･ ス コレートパフェ ・バナナジュース ・トマトジュース フルーツシュース・レンスカッシュ キイスカッシュ コー コーヒーゼリー 人気の " トースト ☆ 歓声度NO.1 プリンアラモード/ 10 じ シナモンの香 シロップ パンの香ばしさな よく合いま カフェアジルの生クリー 甘すぎずこにかく上質で 上品な生クリームにこだわ le ヨーグル

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【Ⅲ】 次の(A), (B)の設問に答えよ。 ((A)14点,(B)6点) (A) 次の英文を読んで,下の設問に最も適切な解答をせよ。 特に指示のない選択式の設問は記 号を1つ選んで答え, "You may choose more than one option." と指示のある設問に対して複 数の記号を選ぶ場合は、 アイウエオ順に解答すること。 Mike: Hello Alex, long time no see! Alex: Hi, it's been almost two years since we last met each other! How were you doing? Mike: Until recently, I was frustrated that I could not meet my friends at university, but I was able to spend more time with my family, so I was okay. By the way, how did you like the online classes? Alex: Personally, I did not like them. It was difficult for me to maintain my concentration at home. Also, I could not resist the temptation of using my smartphone, because there was no supervisor at home who checked whether I was working hard or not. Mike: If you use your phone during class, the professor will definitely tell you off! Hot Alex: Another reason why I prefer in-person classes is that I can ask questions or have discussions with my friends. In the Pre-covid-19 era, when I had questions, I went up to my friend Thomas, one of the best students in our faculty and he taught me everything that I did not understand. Mike: That was a huge issue for me as well. If I have questions piled up, then I am more likely to dislike the subject and have more anxiety towards it. So, my friends and I decided to have meetings online on a regular basis and this helped me to worry less about online learning. Alex: That was really (1) of you, I should have done that! So, are you in favor of online learning? Mike: Yes, although I have less face-to-face interaction with friends, I like online learning more. because I do not have to spend a lot of time commuting to school. I live far away from university and it takes two hours for me to get here by train. Alex: Really! I did not know that, what time do you wake up? Mike: I usually wake up at 5 am. ant mo Alex: That's so early! What do you do on the train? Mike: I just do netsurfing and I do not feel that I use my time productively on the train. If we can continue to take online classes wherever we want, we can get more flexibility in our schedules, We won't have to take the time to commute to the university to attend classes, or if we like it, we may even be able to watch lecture videos on our phones while traveling by train. Alex: I understand your opinion, but didn't you have any technical problems? Mike: I only had a few. Besides, most of the professors posted recorded videos of lectures after class. So, I watched the recordings when I missed some parts. Furthermore, I could study at my own pace and the videos allowed me to digest what I had learned. Alex: That's a good point, but it had an adverse effect on my learning. Mike: How? Alex: I started skipping my online classes because I thought I could just watch those recorded videos later. So, just before exams, I had so many videos to watch. Mike: Maybe, traditional classroom settings might be better for people like you. Alex: I think so. Oh, it's time to go to class. Mike: Oh, yeah, have a good day. Alex: You too! 問1 NOTES Topic of the conversation: ( 2 ) Standpoint Basis Mike (3) (5) Choose the best one to complete blank 1. 7 because cruel clever I kind 2 Choose the best title to complete blank 2. 7 How to get good results at university Technical issues in online classes Safe remote learning at home I Online learning or learning face to face Alex ( 4 ) (6) -11- 18

答えがないので教えて頂きたいです🙏🏻💧

第3回 078 079 080 ① 空所に入れるのに最も適当な語句を,下の①~ ④ から一つずつ選びなさい。 We will be arriving at Chubu International Airport ( ) 10 minutes. . 2 during by 3 for 4 in 076 077 071 072 073 074 075 Level 1 - PART C = The population of this city increased ( 1 of 2 at 3 by She was ill in bed. That's ( 1 because 2 why "You are going to take next week off, aren't you?" "Yes. ( ) my absence, I would like you to take over from me." 1 On 2 For 3 While 4 During ) three percer last year. 4 in He behaved as ( though ) she didn't come to the party. 3 what 4 when A book is not always good just ( 1 because 2 when When I got to the checkout counter, I realized that I didn't have enough money, so I kept ( ) I really needed and left the rest. 1 that 2 this 3 what ( ) you were not at the meeting, we made the decision without you. 1 Unless 2 Since 3 If ) nothing had happened. 2 soon as 3 for For The number of students in my reading class ( 1 is (2) are have (名古屋外語大) (南山大) (大) 4 which (センター試験) ) it is written by a famous writer. 3 while 4 as (4) to (高岡法大) ( ) her kind advice, he succeeded in passing the examination. 1 In case of Far from On earth 4 Thanks to (京都学園大) (東海大) (創価大) (中央大) ) limited to twenty-five. 4 has (専修大)

(2)では、次数を下げるために(1)の式で割ると書いてありますが、勝手に(1)の式を使って勝手に割っていいんですか？

Check! 例題 42 grunts 考え方 (1) 10 複素数と x=1+√2iのとき、次の式の値を求めよ. (1) x2-2x+3 解答 (1) x=1+√2i より 両辺を2乗すると, 直接与えられた式に代入してもよいが,ここで は,x-1=√2i と式変形し,両辺を2乗して 考える.式変形するのは右辺のiをなくすため で, x=1+√2iのまま両辺を2乗すると,右 辺にiが残ってしまうので,注意しよう. 残 (2) 直接代入すると大変なので, (1)の結果を利用す る。この3次式を (1) の2次式で割ってみることを考える. (例題7参照) ODS 6-% x2-2x+3=0 x-1=√2i (x-1)^2=(√2) x2-2x+1=-20-(3) x+4 x2-2x+3)x+2x²-3x+4 x-2x2+3x (2) x3+2x2-3x+4 であるから, よって, x2-2x+3=0 (2)x+2x2-3x+4 を x²-2x+3 で割ると, となる. x=1+√2 のとき (1)より x2-2x+3=0 ①…...x=1+√2i を直接代入すると, (与式) 2x - 8 ここで, P(x)=x+2x²-3x+4 とおくと, 上の割り算より, P(x)=(x2-2x+3)(x+4)+2x-8 P(1+√2i)=0+2(1+√2i)-8 =-6+2√2i よって、求める値は, -6+2√2i 2乗 MA 0=d- 2乗 15 843 0≤ 1-2 3)1 4 SS るとい x-1=√2i x²-2x+1=-2 x=1+√2i x2=1+2y2i-2 =(1+√2)^-2(1+√2)+3 (√2i)²=(√2)=2×(-1)=-2 <係数のみの割り算> 1 4 4x²-8x+12/7²1-4---2-8 LISAK 2-3 4 1-2 3 4-64 商x+4, 余り 2x -8 となる. 整式Aを整式Bで割った商をQ, 余りをRとすると A=BQ+R S

3次関数の問題です。 解く方法が分かりません。教えてください。

102 Check Box 解答は別冊 p. 164 関数 y=x+2kx²-8kx+6が極値をもたないようなんの範囲を求めよ。 ( 東京電機大 )

どうして垂直二等分線の上側になるのですか？

Check 例題 46 点の存 複素数が次の条件を満たすとする。 (i) (z+1/≤1 (1) z存在する領域を図示せよ。 2i 2+2 (2) に対してw= (ii) (1-i)2+(1+i) z ≥0 とおく.点wの存在する領域を図示せよ 方 (1) (i)(z+1|は点P(z)と点A(-1)との距離, すなわち, AP1 z=x+yi (x, y は実数) とおいてxとyの関係式を求める. (2) 例題40の考え方 (ii) を利用する. ■答 (1) (i) 複素数zで表される点をP, -1 で表される点をAとする。 ここで,|z+1|=|z-(-1)|は点P(z)と点A(-1)との距離を で,|z + 1/≦1 は AP≦1 となる。こ したがって、点ぇの全体は,点A(-1) を中心とする半径1の円の ・① および周上を表す。 (i)z=x+yi(x,y は実数)とおき, (1−i)z+(1+i)z≧0 に代入すると, (1−i)(x+yi)+(1+i)(x-yi)≧0g= x+yi-xi+y+x-yi+xi+y≥0 よって, 2(x+y)≧0より x+y≧0 (2) ①,②より,求める領域は右の図の斜線部分 (境界線 を含む) 2i (2) w=- において, zキー2より,両辺に z +2を 掛けて,w(z+2)=2i 2+2 10, 20 また, w≠0 より,両辺をwで割って, sali-1-3) 2010より、両辺に |w|を掛けて, |2i-w|=|w-2i|≦|wl ....... ④ z+2= 2i したがって、 z=2-2.③ となる. w ③を z +1≦1に代入して, 2-2+1≦1より。 |2i-w-12i-wl≤12-2+1|-|²06 w 2ia W (1-i) iw-(1-i) ww-(1+i)iw-(1+i MAORKE 010 よって, B(21) とおくと,④は線分 OBの垂直二等分 線の上側の領域を表す.(境界線を含む) また ③ を (1-i)z+(1+i)z≧0 に代入して (1-12-2)+(1+1)(22) 20 www>0より,両辺にww を掛け (1-i)(2i-2w)w+(1+i)(-2i-2w) w≥0 ( 2(1-i)(i-w)w-2(1+i)(i+w)w²0 選手あすから 21-1 W |2i-1 Tw| ま (2) 練習 46 * (6) と ***

私の解答に間違えがないか教えてください！！

P.91 練習 15 次の関数の最大値、最小値を求めよ。 (1) y=x2+2x+3(-2≦x2) =(x+1)-1+3 (-1,2) 11 - Max. 13-Min (x+1)+2(-1.2) x= ・2 教科書 「数学Ⅰ」 重要基本例題の理解度 check 11 のとき最大値 _ x=2のとき最小値 3 (4) y=-2x² + 12 (0≤x≤6) (0₁ (2) 6 (0.12) x= X = 0 のとき最大値 6 このとき最小値 12 6

③と④が間違えてるのは理解出来ましたが、なぜ正解が①ではなく③なのか分からないので教えてください。 解説に書いてある訳は、「最高のコーヒーを生産するのに用いられる豆は、市場出荷前にひと粒ずつ厳格にチェックされる。」

the best coffee are strictly checked one by one before (1) The beans being put out into the market.e were used to produce T=0=12²743 used to produce di un 以はしだった。 were used to producing deng used to producing m