問題1.3教えて頂きたいです。

4 第1章 術の 問題1.3 0でない整数 a,6,cに対して, 次が成り立つことを示せ。 1.2 約数と倍数 (1)a|bかつ6|a → a=D±6. まず、約数と倍数の定義の復習から始めよう。 (2) a|bかつ6|c → a|c. (3) a|b → ac| bc. 定義1.1 整数a,6に対して、6 = acとなる整数cが存在するとき、 「aはbを割り切る」または 「bはaで割り切れる」 と言い。 a|bと表す。また、aをもの約数 (divisor) と呼び, bをaの 倍数(multiple)と呼ぶ. 一方, aが6を割り切らないときは, atbと表す。 定義1.4 a1,…, an を整数とする。 (1) a1, ,an のすべてを割り切る整数を a1, an の公約数 と呼ぶ、また,最大公約数 GCD(a1,… … , an) を次で定義 する。 * あるiに対してa; +0であるとき, a1,……Qn の公約 数の中で最大のものを GCD(a1,.….,an)とする。 cd 単に約数や倍数と言うときは負の整数も考えていることに注意す る。例えば,6の約数は±1, ±2, ±3, ±6の8個である.ESYe ●GCD(0, ,0) 3D0. 特に,整数 a,bに対して GCD(a,6) = 1 であるとき, a ともは互いに素であると言う。 命題1.2 (1)任意の整数aに対し, ±1 と±aはaの約数である。 (2) 1の約数は+1の二つのみである。 (3) 任意の整数は0の約数であり, 0の倍数は0のみである。 (2) a1, ,a, のすべてで割り切れる整数を a1, an の公倍 数と呼ぶ、また, 最小公倍数 LCM(aj, . ., an) を次で定 の 義する。 [証明明(1) e== +1 とおくと,e.ea=D aであるから, eと eaは *すべてのiに対して a; + 0であるとき, a1,, an の aの約数である。 る正の公倍数の中で最小のものを LCM(a1,.., an) とす 会 (2) aを1の約数とし, ac=1をみたす整数cを取れば、 る。 上い * あるiに対して a;=0であるとき, LCM(a1, .… , an)=0. 1= {ac| = |a||e| >_a|>1. 従って、a = 1, 即ち, a=±1 である。 (3) 任意の整数aに対してa-0=0であること(命題 8.3(1) を 参照)から(3) が従う。 (agad+ ( + + キ ロ 5) GCD はgreatest common divisor の略。 6) LCM は 1east common multiple の略。

なるべく早くお願いします!😫

(4) Eais studying French she is ( )a French novel ih I ranslating 2 measuring 3 arresting w feeling well today, He kept coughine (5) Jason was ( and he looked very tired. 1 luckily 3 commonly 4separately 2obviously OWn egetables? B: Ys The secret is to mix scashells in the ( garden Iwound ) in your 2rap 3 index 4 soil なぜ yo か ). She asked me 「の4 (7) 4:Who was that on the telephone, Pete? B: Just someone who was doing a ( Some questions. 1 label 2 igure 3 survey 4 purpose 18 6) 4: , this salad is ! say you grow your )no feeling well today, He kept .

英文和訳の問題で、ダッシュ➖の訳を見てみたのですが、そのまま書いてありました。それでイイのでしょうか？

次の英文の下線部 (1), (2)を訳しなさい Maly things that people in Europe have in common are part of the common property of the “global village” created by the masS media- watching American TV programs, for example. While the Beatles could claim to be a European creation (2) an English pop る group that launched its career in Hamburg- they too swept the world. 帯 ふti 日真) 谷内 具 r ま ら御管 o (慶応義塾大)

答えがなくて分からないので教えて欲しいです🙇‍♀️

Part 2. 下線部に入れるべき語句として最も適切なものを(a) つ選び、その記号を記入しなさい (d)の中から1 26. He's suffering from moming. a. fever He's been to the toilet six times already this b. diarrhea c. dizziness d. urine 27.I sometimes feel a little short of a. breath ifl go upstairs too quickly. c. height b. dizziness d. weight 28. I'm allergic to house dust and pet hair. IfI'm near a cat, I can't stop a. laughing b. sneezing C. throwing up d. waiting 29. It's not a bad cut. You won't need any a. blood A band-aid should be enough. b. stitches c. suppositories d. trouble 30. Some patients suffering from a. heart disease need dialysis. c. lung b. kidney d. stomach 31. Do you have any pain? Where does it b. have a. feel C. hurt d. look 32. AEDS are useful if someone has suffered a heart a. acute b. attack c. electric d. time 33. cancer is a disease that affects women but is much less common in men. a. Breast b. Every C. Head d. Prostate 34. a. Diabetes is a common disease, often caused by lack of exercise and a poor diet. b. Influenza C. Insomnia d. Mumps 35. Please your arm and make a fist. b. put off a. hold out c. stand up d. take out 36. The will soon stop if you use this cream on your rash. b. itching a. dizziness C. time d. weakness 37. People who have had a a. heart often suffer paralysis or loss of mobility. C. stroke b. problem d. symptom 38.“What are your ?"“I have a headache and a sore throat." a. conditions b. signs C. symptoms d. terms

VISTAのこの問題の答え教えて欲しいです🙇‍♀️

C )内の単語を必要なら形を変えて、英文を完成させよう。 Ppp.1410 5文法)( 1. Today, Tokyo is Words & Phrases ヒント as Dubai. (hot / as ) →教科書 p.18 1. Dubai「ドバ 1語句それぞれの意味を書いてみよう。 1. familiar 圏 2. Your bicycle is mine. (light /1than) than that one. (useful ) イ」 2. countryside 図 3. This book is 2. mine「私のも 4. literature 図 の」 4. My mother gets up the in our family. (early) 3. useful「役に 3. million 影 6. common囲 立つ」 5. primary ® 6文法 ]内の単語を使って、対話を完成させよう。 8. isle 図 →教科書 p.18 7. Irish 形 1. A: Kenji isa very swimmer. 10. symbol 図 9. winner図 B: Yes, but Taro can swim Kenji. Vow 25ouK2 2. A: Do you 0ao a 2語句下線部に注意して、英語または日本語を書いてみよう。 1. Ireland is a beautiful country. [ than / fast / faster ] は美しい国です。 come to this restaurant? 本来の計画のほうがいいです。 B: Yes. I think it is restaurant in 2. The plan is better. in many countries. 英語は多くの国々で教えられています。 the city. 3. English is 私たちは昨日 [ the / often /best ] 4. We had lots of fun yesterday. 5. What time does the parade start? は何時に始まりますか? 3. A: I think is more important than 3. agree「同意 B: I can't agree. Money is not as as time. る」 2eiaud en アクセントもっとも強く発音する部分を、○で囲もう。 [ time / money/important] mon yote, ia, 3. sym-bol ア 1. fa-mil-iar 2. lit-er-a-ture 4. A: I think SOCcer is the sport. 4. in my opir 「私の意見 アイウ アイウ エ B: In my opinion, baseball is exciting as soccer. 4. pri-ma-ry 5. mil-lion 6. coun-try-side アイウ」 は」 [as/ most / exciting ] アイウ アイ 4発音下線部の発音が同じものには○、違うものには× をつけよう。 7表現 日本語の意味に合うように、英文を完成させよう。 1.彼はコンピュータのことをよく知っています。 1. shamrock -national ( ) 2. symbol - time ( 1. →教科書 3. primary - million ( He is computers. 2.あなたのアイデアと私のには共通点がたくさんあります。 5. isle - countryside ( 4. winner - literature ( へ tor へ 6. emerald - everybody () 2. →教科書 Your idea and mine have alot 3. あの国は石油由に恵まれています。 3. →教科書 That country is oil. more 4. テーブルの上に何か緑色のものが見えます。 ablo hodit foe 4. →教科 Toenotaia o を用しる T anala be I can see on the table.

2011年北海道大学の英作文の添削をおねがいします。questionCです。 字数が足りていませんが、それ以外の部分をおねがいします。

Australia, the United States, and urban India. Rend the following passage and answer questions A through C in English. while their wives work outside the home, Stay-at-home dads are also called stay- Stay-at-home dads are married fathers with children who care for their family domestic burden has led some couples to completely reverse their roles. The number of stay-at-home dads is starting to increase in Britain, Canada, 「husband who can do the housework, such as shopping, cooking, and looking alter the children. The widespread expectation that men should share the vin England showed that 75 percent of women in their twenties prefer a 38 on were breadwinners and women were caregivers. Arecent Traditionally, Survey can Many stay-at-home dads take great pleasure in showing affection to their children. Their wives can pursue careers without worrying about teaching family values or paying for child care. Research suggests that children of stay- athome dads often benefit from strong bonds with both parents, whereas the father's role ina stay-at-home mom household is less influential. Although the number of stay-at-home dads is increasing, it remains small Compared to the total number of fathers. In the United States, the government estimates that in 2009 there were 158,000 stay-at-home dads, a mere 0.2 percent of 67.8 million fathers. In Australia, about 1 percent of fathers are stay-at-home dads. In urban India, one estimate suggests 3 percent of fathers stay at home full-time. Some stay-at-home dads suffer from social stigma. Many people, including stay-at-home moms, do not understand why a man would choose to give up his career to care for his family full-time. Being a stay-at-home dad can also be career suicide. Many employers view stay-at-home dads as lacking ambition and commitment. Losing professional skills may prevent stay-at-home dads from returning to the workforce.

画像下線部の英文で、なぜカンマで区切られているのかわかりません。

In primitive times, one hada feeling of unity with one's family The horizon was too narrow to see farther than that, though the family wasn't as narrow then as it often is with us. It inchuded a variety of cousins and distant connections, often marked by a common name. Such an extended family might be called a “clan.” (山脇学園毎十)

(2)に入る和訳わかる方いませんか?😭

four Part2 Words' meanings often change. 単語の意味はよく変わる 意味の変化には4つの一般的なタイプがある 1つ目のタイプは単語の意味の「堕落」 There are four common types of meaning changes. The first type is the lowering of words' meanings, (1)or(2)their becoming more negative. )がより否定的になる場合である Today, 今日 if we say that someone is “silly," だれかが silly であると言うと 意味する we mean that they are foolish or stupid. それは「愚かな」や「馬鹿な」ということを But 1,000 years ago しかし,1,000 年前には it didn't mean this at all. それはこのようなことはまったく意味していなかった When the word was first used in English, その語が最初に英語で使われたときには meant “happy' or “blessed.” 「幸せな」とか「恵まれた」といった意味であった Then it got the meaning of *“innocent." その後,「無邪気な」という意味が加わった

添削お願いします。

ありふれた単語ほど使い方もいろいろあります。 よく知っているはずの単語も, ときと The commoner a word is, the more ways there are of using it. So, ありふれた単語ほど使い方もいろいろあります。 よく知っているはずの単語も、と き辞書で確かめるべきです。 01 you should lookupeven words which you think you know well. ○「ありふれた」 「(パソコンなどが) 普及した」 を表す形容詞は common がよい(→ p.212) ○ (the +比較級, the+比較級〉 の構文を使って 「ある単語がありふれていればいるほ と、いろいろな使い方がある」 ということを表現してみよう。 この構文を使うときの注 意事項をしっかり守らなければいけない (→p.108)。 Aword is common.「 ある1つの革 語がありふれている」。 There are many ways of using it.「それを使うやり方がたくさんあ る」というそれぞれの文をこの構文に書き直せば, 上の解答例のようになる。 ○「知っているつもりの単語」 を関係詞を使ってうまく書いてみよう。そのような単語 は不特定多数あり,それらをみな折りにふれて辞書で調べなさい. というわけだから(多 /多)の関係(→ p.59) に相当するので, 先行詞は無冠詞複数で words とする。さらに You think you know words. 「あなたは単語を知っていると思っている」という文の words が関係詞に代わったと考えると, words (which) you think you know で 「あなたが 自分で自分が知っていると思っている単語たち」 を表せる。つまり.複文構造になって いる関係詞節をしっかり使いこなすのがポイントというわけだ (→ p.62)。

教えてほしいです！！お願いします！！

問題は【1】~【4】まである。答えは各問題の指示に従って別紙の解答用紙に書きなさい。 【1】次の英文を読んで設問に答えなさい。 Headaches are a big problem. Each year, millions of people suffer from severe headaches that affect their enjoyment of life, (1) not to mention their productivity at work. estimate, headaches cost individuals and businesses more than (2) $50 billion each year! (3) This is one of the reasons research into headaches has become a worldwide effort. Although he did not know much about how headaches work, Hippocrates was the first doctor to find a way to treat them. By 400 BC, Hippocrates had discovered that the *bark from willow trees was useful in treating pain. He made a white powder from the tree's bark and gave it to his patients. Hippocrates did not know it, but he was actually prescribing a natural chemical in willow bark called salicin. Whena person eats salicin, the chemical is changed inside his or her body into (4) salicylic acid. It turns out that salicylic acid is good for stopping pain, including headache pain, but it is bad for a person's stomach. In the 1800s, a chemist in Germany slightly changed easier for people to take. commonly known as aspirin. Aspirin was used throughout most of the 1900s to treat headaches, but doctors had little idea about what really caused headaches. When doctors can *diagnose the cause of a disease, they can find better ways to treat it. Therefore, as medical technology developed, doctors began to use it to learn more about the human brain and about headaches. In fact, according to one m to make it This new form of the chemical was called acetylsalicylic acid, now acid's Now doctors classify headaches ( A ) two general types: primary and secondary. A primary headache is a condition ( B) as only the headache itself. one caused by another physiological condition, such as an *infection or a *tumor. For primary headaches, doctors have determined three possible causes. headache is caused by stress. characteristically felt on both sides of the head as a dull, steady pain. Another kind of primary headache is the *migraine headache. Exactly what causes these headaches is not well understood, but many experts believe it could be abnormal brain activity causing changes in the brain's chemistry and blood flow. For many people, migraines are caused by certain (5) stimuli, such as poor sleep or particular foods or smells. A sufferer usually feels intense pain on one side of the head and becomes sensitive to light and noise. If the migraine is severe, the sufferer may *vomit repeatedly. The third kind of primary headache is known as the cluster headache. Cluster headaches typically occur around the same time each day for weeks or months at a time. The person ( C)from this kind of headache usually feels pain on one side of her or his head, and the pain is centered around one of the eyes. Doctors do not know much (6) at present about cluster headaches, but they seem to be more common among men and could be related to alcohol or other things that affect a person's blood flow. Using computers and more advanced medical equipment, doctors continue to learn more about what happens in the brain before and during headaches. Especially in the case of migraines, some doctors believe they have found the part of the brain that sets off the reaction for severe attacks. With these insights into brain processes, doctors hope new ways will be discovered to stop headaches before they begin. On the other hand, a secondary headache is One kind of primary Doctors usually call these tension headaches, and they are 注: bark 樹皮 diagnose ~を診断する、~を突き止める 感染症·伝染病 migraine (headache) 偏頭痛 infection tumor 腫場 vomit 食べたものを吐く (出典:READING FOR THE REAL WORLD 3rd edition, Compass Publishing より)