どうして線を引いたところがイコールだとわかるのですか？

4 00000 重要 例題 164 三角形の面積の最小値 面積が1である△ABCの辺AB, BC, CA 上にそれぞれ点D, E, Fを AD: DB=BE: EC=CF: FA=t: (1-t) (ただし, 0<t<1) となるようにと る｡ (1) △ADF の面積をtを用いて表せ。 基本 158 (2) △DEF の面積をSとするとき, Sの最小値とそのときのtの値を求めよ。 指針 (1) 辺の長さや角の大きさが与えられていないが, △ABCの面積が1であることと ANDA △ABCと△ADF は∠Aを共有していることに注目。 AABC= C=1212AB・ACsin A (=1), ADF=1/12AD (2) △DEF=△ABC-(△ADF+△BED+△CFE) として求める。・・・・・・ Sはtの2次式となるから、基本形 a (tp)'gに直す ただしtの変域に要注意! $46-(03/ 解答 (1) AD=tAB, AF=(1-t)AC であるから AADF=AD AF 2 -AD よって AABC= AF sin A =1/12t(1-t) AB・ACsin A c=1/12/1 -AB・ACsinA=1 2) (1) と同様にして よって △ADF= =AD-AF sin A Dante (bo+de) コーナ AADF=t(1-t). AB AC sin A =t(1−t) BtE ゆえに, 0<t<1の範囲において, Sは t=1のとき最小値 ADA 1-t S=△ABC-(△ADF + BED+△CFE) =1-3t(1-t)=3t2-3t+1=3t- SUBAS -t t = 3(t-1- ) ² + 1 (*) 4 2009-0 (8-2081) 805 00 AS をとる。 $301 検討 一般に AB'AC' AAB'C' = △ABC AB AC A B (*) 3t²−3t+1=3(t²−t)+1 ABED=ACFE=t(1-t) (n==312-t+(1/2)}-3(1/2)+ SA S-31²-3t+1 4 B' 基 17 最小 C M 指

質問です。 どうして または なのでしょうか?? m=2で、共通解は-1　が答えではないのでしょうか?? どうしてその後も計算が続くのでしょうか? 全然わかってないですが、、、 解説、宜しくお願いします。

考え方 解 Check 例題 よっ 練習 45 45 共通解 xについての2つの2次方程式 LJUCORBA x2+(m-4x-2=0, x2-2x-m=0 ただ1つの共通な実数解をもつとき,定数mの値と, そのときの共通 解を求めよ. Do 共通な実数解をαとして､ 2つの2次方程式にx=α を 代入すると, Ra²-2a-m=0 この ① ② より, したが Flocus 20 ただ1つの共通解が存在するというので,それをαとおくと扱いやすい。(xのまま だと,共通解を扱っているかどうかがわからない.) Ja²+(m-4)a-2=0 ......1 ......2 についての連立方程式を解くと, (m-2)a+m-2=0 (m-2)(a+1)=0 これより m=2 または α=-1 (i) =2 のとき るようにもとの2つの2次方程式は, ともに x2-2x-2=0 f(x) となる. したがって,解は, m=3 このときもとの2つの2次方程式は, この考えは x2-x-2=0, x2-2x-3=0 x=1±√12-(-2)=1±√3 019-0 足>となり,共通な解がただ1つであることに反する. (ii) α=-1 のとき (-1)+(m-4)・(-1)-2=0 「とき①に代入して, ne s となり,それぞれ, (x-2)(x+1)=0 より, x=2, -1 (x-3)(x+1)=0 より, x=3, -1 となるから、ただ1つの共通解-1をもつ. よって, (i), (ii)より, m=3, 共通解は -1 4 2次方程式 *** -00050 Saswas についての2次方程式 CE SUBS 共通解をとおいて、 2つの方程式へ代入し, 連立方程式を解く α, m についての連立 方程式になる. ① ② より α2 の 項が消える. 因数分解できる. AB=0⇔ A = 0 または B=0 共通な解が2つになる. |(S— ② に代入してもよい。 Schoclastu m=3のとき, 2つの + 2次方程式が を解にもち, 他の解は異なることを 確認する . 62 81

3行目、with whomの部分は関係副詞ですよね？ どのように訳せばいいか、文構造のとり方を教えてください🙇‍♀️

次の英文を読んで、設問に答えよ。 第1講 e.g. The *therapeutic use of pets as companions)has gained increasing attention in recent years for a wide variety of patients people with AIDS or cancer, the elderly and the mentally ill (Unlike people, with whom our interactions may be quite complex and unpredictable, animals provide a constant source of comfort and focu X S X 5 for attention. Animals bring out our nurturing instinct. They also make us feel saf (1) and unconditionally accepted. We can just be ourselves around our pets. らしきおこさまた stress-induced symptoms)<I x Research has shown that pet ownership can reduce $$E surgen 343 a study, people undergoing *oral surgery spent a few minutes watching tropical fis O' in an aquarium. Their relaxation level was measured by their blood pressure, muscl わかった Xp 10 tension, and behavior. It was found that the subjects who watched the fish wer

3行目のto不定詞の見分け方をどうするれば良いのかわかりません。 to不定詞の形容詞、副詞はどのように見分けてますか教えてほしいです。

More than ten-thousand million kilograms of plastics are produced in the United States each year. However, they take up a lot of ground space used to contain wastes produced by cities and industries. While in the ground, plastics do not break down into (日本工業大) natural, harmless substances. 次の英文を訳しなさい SQ DER

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【IV】 次の(A), (B)の設問に答えよ。 ((A)11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。 選択式の設問は記号 (アイウエ･･･) を1つ選んで答えること。 A World Bank report recently released suggests climate change could, force 216 million people across six regions to migrate within their countries in the next 30 years, with ""hotspots" emerging within the next nine years ( 2 ) urgent steps are taken. The "Groundswell Part 2" report examines how climate change is a powerful driver of migration within a nation because of its impact on people's livelihoods through droughts, rising sea levels, crop failures and other climate-related conditions. The original Groundswell climate report was published in 2018 and detailed projections and analysis for three world regions: sub- Saharan Africa, South Asia and Latin America. "Groundswell 2" conducted similar studies on East Asia and the Pacific, North Africa, and eastern Europe and Central Asia. Both studies established different scenarios to explore potential future outcomes and identify internal climate in- and out- migration hotspots in each region that is, the areas from which people are expected to move, and the areas to which they might go. The study suggests that by 2050, sub-Saharan Africa could see as many as 86 million internal climate migrants; East Asia and the Pacific, 49 million; South Asia, 40 million; North Africa, 19 million; Latin America, 17 million; and eastern Europe and Central Asia, 5 million. To slow the factors driving climate migration and avoid these worst-case outcomes, the report recommends a series of steps world leaders can take, including reducing global emissions ( 4 ) the goals established by the Paris 2015 climate agreement, and taking steps to better understand the drivers of internal climate migration, so appropriate policies to address them can be developed. (注)* hotspot: 自然破壊が進み, 危機に瀕している地域 -2/x-84 問 1 Which of the following has the closest meaning to " to talk someone out of doing something ア ウ I to make someone move 2 Put the best one into blank 2. ア unless イ to keep someone from doing something to tell a lie Sune once ウ when O I if 3 Which of the following has the closest meaning to "3 a powerful driver"? ア a good person who drives a truck a tool to fix some furniture I force"? a strong power that causes something to happen a condition which causes climate change 4 Put the best one into blank 4. Pin line with on behalf of in spite of I even though

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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-

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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

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【IV】 次の(A), (B)の設問に答えよ。 ((A)11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。 選択式の設問は記号 (アイウエ･･･) を1つ選んで答えること。 A World Bank report recently released suggests climate change could, force 216 million people across six regions to migrate within their countries in the next 30 years, with ""hotspots" emerging within the next nine years ( 2 ) urgent steps are taken. ) urgent steps are taken.numputė, valab The "Groundswell Part 2" report examines how climate change is a powerful driver of migration within a nation because of its impact on people's livelihoods through droughts, rising sea levels, crop failures and other climate-related conditions. The original Groundswell climate. report was published in 2018 and detailed projections and analysis for three world regions: sub- Saharan Africa, South Asia and Latin America. "Groundswell 2" conducted similar studies on East Asia and the Pacific, North Africa, and eastern Europe and Central Asia. Both studies established different scenarios to explore potential future outcomes and identify internal climate in- and out- migration hotspots in each region that is, the areas from which people are expected to move, and the areas to which they might go. The study suggests that by 2050, sub-Saharan Africa could see as many as 86 million internal climate migrants; East Asia and the Pacific, 49 million; South Asia, 40 million; North Africa, 19 million; Latin America, 17 million; and eastern Europe and Central Asia, 5 million. To slow the factors driving climate migration and avoid these worst-case outcomes, the report recommends a series of steps world leaders can take, including reducing global emissions (4) the goals established by the Paris 2015 climate agreement, and taking steps to better understand the drivers of internal climate migration, so appropriate policies to address them can be developed. (注)* hotspot: 自然破壊が進み, 危機に瀕している地域 -2/ Which of the following has the closest meaning to", force"? to talk someone out of doing something to keep someone from doing something to tell a lie I to make someone move 2 Put the best one into blank 2. 7 unless イ 1 ア イ once when I if ウ 3 Which of the following has the closest meaning to "3 a powerful driver"? ア a good person who drives a truckgran amma di kaill) a tool to fix some furniture I 0811 a strong power that causes something to happen a condition which causes climate change 4 Put the best one into blank 4. Pin line with イ I on behalf of in spite of even though

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基本 日本 本 (1) None of us knew ( 1 which 2 (2) Stratford-upon-Avon is the town ( where which ) she remained silent then. why when 2 (3) I will never forget the holidays ( ) I stayed with her. 1 when 2 where 3 why (4) (4) ( ) I've wanted is not money but love. 1 Who 2 That (6) I bought a new book yesterday, ( 1 that which ) Shakespeare was born. in that 4 when (5) ( ) you may say, I won't change my mind. 1 Whoever 2 Whomever (7) The subject in ( 1 which den 2 that 3 Whose (9) We stayed in an old house, ( 1 which (2) who 4) whom (8) This is () we came to understand each other. 1 which 2 who 3 for which which What (3) Whatever 4 Wherever ) I was interested in my school days is mathematics. (3) where 4 when ) I found very interesting. (3) what 4 who how ) roof was covered with snow. whose (3) (4) whom (10) Who was the person to ( ) you were speaking yesterday? (3) that (4) 1 who (2) whom whose

この文の主節ってどれですか？ もし主節がMegからcatまでであればtakesなどの主節の動詞の時制に関わらず、その時点(主節の?)の事実に反することならばas ifの後には仮定法過去を使うとあるのですが、この文の場合、メグがねこの世話をする時において、本当の娘ではない(真... 続きを読む

「まるで・・・・するかのように･･･であるかのように」を表すには? as if +仮定法過去 Meg takes care of her cat as if it ( 1 is ② will be were ) her real daughter. ④ had been as if に注目 着