2行目のitが前文の表現を受けないとどのように見分ければ良いのですか？ ちなみにitは前文全体を指すことはできないですよね？

次の英文を訳しなさい The public want the government to take stronger action, because it is the government which has the most power. What they want is for the government to provide an excellent public transport system so that people will not want to drive. (小樽商科大)

2行目のitが前文の表現を受けないとどのように見分ければ良いのですか？ ちなみにitは前文全体を指すことはできないですよね？

次の英文を訳しなさい The public want the government to take stronger action, because it is the government which has the most power. What they want is for the government to provide an excellent public transport system so that people will not want to drive. (小樽商科大)

教えていただきたい英語の問題があります。 自分で回答できたところと、できていないところがあるので、解説と回答をお願いいたします。 自分で回答できた所も解説していただけると助かります。 ご無理を言って申し訳ないです。 よろしくお願いします。 問題と解答、写真も載せておきます... Read More

ト で る 14 resume Rearranging 次の日本文に合うように [ 01. 彼はクラスの他の学生に遅れないように努めている。 [(k ]内の語(句)に語頭文字が示された語を加えて並べ替えなさい ) / up / the other / the class / in / with / to / he / students/ tries ]. 02. 私はバスが遅れるだろうと思っている。 [(expect I expect the bus to be late. ) / to / late/I / bus / be / the ]. 03. 法の下では全ての人間は平等である。 [(a ) / humans / the / law / all / equal / under ]. 04. Tom は友人を訪ねたが, 家には誰もいなかった。 [(called ) / his friend, / Tom /home/was / at / on / there / but/ nobody]. Tom called on his friend, but there was nobody at home. 05. 彼女の行動はいつもながらの色々なうわさを生んだ。 [(brought ) / rumors / forth / crop of / the usual/ her action ]. Her action brought forth the usual crops of rumors.

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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

このマーカー引いたところって書いてなくてもいいんでしょうか？これはなんのためにあるのか教えてください。

例題 95 放物線がx軸から切り取る線分の長さ (1) 2次関数y=x2-4x-3のグラフがx軸から切り取る線分の長さを 求めよ。 (S) +x2-xx (1) (2) 2次関数y=x2+2x+α のグラフがx軸から切り取る線分の長さが 2√5であるとき,定数aの値を求めよ。 思考のプロセス 図をかく +交通費 ｢放物線がx軸から切り取る線分」とは、 右の図の 線分AB である。 2点A,Bのx座標が (1) 2次方程式x2-4x-3=0の解は (1)^2x=-(-2)±√(-2)^-1･(-3)=2±√7 よって、求める線分の長さは βであるとすると AB=β-α Action » x 軸から切り取る線分の長さは,x軸との共有点の座標から求めよ (2+√7)-(2-√7) = 2√7 例題 (2)2次関数y=x2+2x+αのグラフはx軸と異なる 86 2点で交わるから, 2次方程式x2+2x+α = 0 ... ①の 判別式をDとすると D > 0 =1-α>0 より a < 1 4 このとき, 方程式 ① の解は x= -1±√1-a グラフがx軸から切り取る線分の長さが2√5 であるから (-1+√1-a)-(-1-√√1-a)= 2√5 2√1-a = 2√5 a=-4 a=-4 1-α = 5 であるから これはa < 1 を満たすから Point….. 放物線がx軸から切り取る線分の長さ AR 2次関数y=ax+bx+c のグラフがx軸と異なる2点A,B で 交わるとき 2次方程式 ax²+bx+c=0 の判別式をDとすると, D=62-4ac>0 であり, 線分ABの長さは AB= /AB √√b² - 4ac | al α As B B x A D Tal/2= Ama V 2-√√7 2+√7 x 放物線とx軸が2点で 交わらなければ,線分が できない。 ASA 1 STARS+₁=1 放物線y=x2+2x+α とx軸の共有点の座標は (-1-√1-a, 0), (−1+√1-a, 0) D |a| B x co 8 2次関数と2次方程式

シャーペンで引いた下線部(よって…割り切れる。の所)は何故そう言えるのですか？

題 50 高次方程式の虚数解 複素数 3-iが3次方程式x+ax+b=0 の解となるような実数の 定数a,b の値を求めよ。 また、残りの解を求めよ。 思考プロセス << Action 実数係数の方程式の虚数解が与えられたときは, 共役な複素数も解とせよ 条件の言い換え (解の1つが) x=3-i (共役な複素数 x=3+iも解 (a+2)x+(b-20) この余りは0となるから a+2=0, b-20 = 0 これを解くと 〔本解〕 3-iと3+iを解にもつ2次方程式 KATCHE (2次式)=0 に対して 〔別解1] 方程式にx=3-i を代入 a=-2,6=20 解係数がすべて実数であるから, 3-iと共役な複素数 3 + iPoint 参照 例題も解である。 31 ここで, 3-iと3+iを解にもつ2次方程式の1つは 37 x² − {(3−i)+(3+i)}x+(3−i)(3+i) = 0 このとき、方程式は 〔別解2] 残り1つの解をα とすると すなわち x²-6x+10=0 よって,x-4x+ax+bは3-6x+10で割り切れる。)、 右の計算より 商はx+2 余りは x +2 x² - 6x +10) x³-4x² + x-6x2+ (x+2)(x2-6x+10) = 0, x 2.3 ±i (2次式) (1次式) と因数分解できる。 解と係数の関係より [(3−i)+(3+i)+a= [ これを解くと したがって, 求める残りの解は 〔別解 1) (3-i) (3+i)+(3+i)a+a(3−i)= |(3− i)(3+i)a=0 2x2- ax+b 10x 2x2+(a-10)x +6 12x+20 (a+2)x + (b-20 ) x = -2,3+i 2数を解にもつ2次方程 式の1つは x2-(和)x+(積) = 0 x=3i を解にもつ2次 方程式は x-3=-i0 両辺を2乗して x2-6x+9= -1 x2-6x+10 = 0 としてもよい｡ 「割り切れる」 (余り) = 0

(2)の、シャーペンで引いた下線部が、何故なのかわかりません。なぜルートを取らなくてはいけないのですか？

例題 36 xの2次式の因数分解 (1) yについての2次式9y²-12y+16-4k が完全平方式となるような, 実数の定数kの値を求めよ。 例題 35 思考プロセス x2+xy-2y2+4x+5y+kがx,yの1次式の積となるように定数k の値を定め, x,yの1次式の積の形で表せ。 完全平方式・・・ (整式) の形で表すことができる整式 (2) |= (x+Oy+△)(x+y+∇)・･･(*) となってほしい。 2次式の因数分解は、 2次方程式の解を利用せよ ReAction 1つの文字に着目 x に着目すると xについての方程式 の解x=yの式, =x2+(y+4)x- (2y²-5y-k) よって = 0 yの式 解 (1) 9y2-12y+16-4k=0 の判別式をDとすると､ 左辺 が完全平方式となるための条件は D = 0 = (-6)² — 9(16-4k) = 36k — 108 xについて解くと x= ただし 36-108 0 より k=3 (2) x2+xy-2y2+4x+5y+h=0 とおいて, x について 整理する x2+(y+4)x - (2y2-5y-k)= 0 と因数分解される。 (*) のようになるのは,どのような解をもつときか? _y-4±√D1 2 |= (x-yの式)(x- D1 = (y+ 4)2+4(2y2-5y-k) =9y2 -12y+16-4k x2+(y+4)x -(2y2-5y-k) -y-4+√√D₁ 2 =(x- これがx,yの1次式の積となるための条件は, D1 がy についての完全平方式となることである。 このとき (1) より k=3 なぜ? k=3のとき, D1 = (3y-2)2 であるから x2+(y+4)x - (22-5y-3) x -y-4-√√D₁ 2 例題 35 ={x-y-4+(3y-2) v-2)}{x-y-4-(3y-2) 2 (3-2)} ={x-(y-3)}{x-(-2y-1)} =(x-y+3)(x+2y+1) Lyの式 day' + by + c が完全平方 式となる。 ⇔ ay²+by+c = 0 が 重解をもつ。 ⇔ 判別式 D = 0 D1 はこのxについての 2次方程式の判別式であ る。 ax²+bx+c=0 の解を α, βとすると ax²+bx+c 章 3 2次方程式 = a(x-a)(x − B) h=3のとき D1=9y2-12y+16 -4k =9y2-12y+4 = (3y-2)2