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Grammar Focus noun refers to something that cannot be counted (a mass), and so it does not use a plural form. When a noun is countable and it refers to only one person, place or thing, the singular form is used. If the noun refers to more than one, we use the plural form. Plurals are usually created by adding -s to a noun's When a noun is used, it is important to determine if it is countable or uncountable. If uncountable, the singular form, but the spelling of plurals varies and can be irregular. Nouns-Countable / Uncountable Complete each of the following sentences with an appropriate word or phrase. 1. Donating blood is a good way to savea life because patients often require ( to help treat a fatal disease. ) or platelets b. was blood a. a blood C. blood d. its 。Radiation, matter, gravitation, electric charge, and magnetism are all invisible physical a. a phenomenon b. phenomenon C. the phenomenons d. phenomena 3. If people have ( )lasting a week or longer, it may be caused by the flu. a. fever b.a fever C. fevers d. the fevers 4. The ( )are using the forensic science lab report to help them in the investigation. a. detective b. police officer C. polices d. police ) travels in straight lines, and transmits energy from one place to another. a. Light b. The lights C. A light d. Lights ) people think that smoking is healthy, some people do think that smoking is ) people never try to quit smoking. C. few, quite a few 6. Although ( arelaxing tool. Surprisingly, ( a. quite a little, little b. little, quitea few d. quite a few, little ) in the summer camp are interested in nature. a. Most of childs b. The most child c. Most of children d. Most of the children ) can be dangerous if you don't recognize an adverse reaction. b. a medicine 8. Taking a. medicine d. one medicine c. medicines lectronic data exchange via e-mail or the Web is more eco-friendly than using millions of d. sheets of papers a. a sheet of paper c. sheets of paper b. a sheet of papers 10. 7Of the employees in the company are contract workers. c. Number d. Majority a. Lot b. Half

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B あなたは留学生の Isabel から次の相談を受けた。英文を読み, 空所にふさわしい形で, Isabel の妹はどうすればよいかを, その理由とともに30語程度の英語で書け。 ただし, 2文以上になってもかまわない。 rful un to do Isabel and Isabel said Hi! 14:05 ing at Isabel I am worried about my younger sister. She studies hard every 0ack of night until midnight, but her grades have not improved. What advice should I give her about studying? I thing -33。 14:08 You I see. 14:40 But) You Yaut stedy inh The nornihg. f she sleep well every at, She will stuidy hard more) I Tlink you 0 her grades have improve. Sister should were ( re. find but I 14:46 E stu sheald told her thet, m m

この問題、僕の回答は間違ってるんでしょうか？ 理論的に間違ってるところが自分で見つけられなくて、困ってます 回答は枠の下側が途中式で、右上が最終の答えです 見づらくてすみません お願いします

したがって, 線分 CDを3:1に内分する点をL, 線分 BLを8:3に内分する点をMとすると、 基本 例題58 等式から点の位置の決定 OOO00 四面体 ABCD に関し,次の等式を満たす点Pはどのような位置にある点か。 [信州大) AP+3BP+2CP+6DP=0 基本 22 指針> 平面の場合でも似た問題を扱った(b.416 基本例題 22 (1) 参照)。 点Aに関する位置ベクトル をB(b), C(C), D(d), P(p)として,与えられた等式をあ c, à, あで表し,適当なベクトルを組み合わせて, 内分点の公式 にあてはめることを考え る。 数) 明声の中T9AHO 指 CHART 似た問題 方法をまねる 解答 点Aに関する位置ベクトルを B(), C(C), D(ā), P()とす ると,等式から +3(6-6)+2(万-2)+6(カー)=0 12万=35+26+6d 35+2+_(6-36+25 +) 3万+2c+6ā カ= 1 +62 よって 12 12 A 35+2c -=ē とすると 5 点E()は線分 BCを 2:3に内分する。 ここで、 テー占に- 11 5e+6d 11 カ= -(5e+64)= 12 5e+6d -7とすると D 点F()は線分 EDを 6:5に内分する。 の更に, B 11 6° カ= 12 E 3. C 点P()は線分 AFを 11:1に内分する。 したがって, 線分 BC を 2:3に内分する 点を E, 線分 ED を6:5に内分する点をFとすると, 点Pは 線分 AF を11:1に内分する位置にある。 <検討 +3d -1. か +&こ+)と変形し、 カー 36+2c+6a カ= 1 36+8- 12 c+3d 11 1 (36+8 11 12 4 12 4 35+81 -mとすると カ=m =m とすると 11 練 点Pは線分 AMを11:1に内分する位置 にあるとしても正解。 このとき,点Mと上の解答の点Fは一致する。 3 2

§18-1の下線部のorは何と何を並立してますか？ §18-2(2)の,andのandは何と何を並立してますか？ 教えてください。

共通関係一何と何が並んでいるの? 以下の英文を読み, 下線部を和訳しなさい。b indeed when my friend Peggy Hughes first suggested to me that d yno ai. bptnsg 0 b In the last decades of the eighteenth century, and in the first half of the nineteenth century, a number of words, which are now of capital importance, came for the first time into Common English use, or where they had already been generally There is in facta general pattern of change in these words, and it is possible to look at the wider changes in life and thought to 5 used in the language, acquired new and important meanings. thought at first of making these letters and notes into a book, and Icould and should do so, the idea seemed impossible and absurd. 42 o benti S 18 9on9brgg 1916W no) ny re G 5 O990 G200L0B tcione which the changes in language evidently refer. The destruction of (法政大) m s dependence on the m In 1960, when I first began writing notes about Lisa, I did 2 not think of myself as collecting data, or doing research, or getting ready to write a book. I was a charmed and delighted adult with(like Mrs. Bissex)“an inclination toward writing 5 things down," in the form of letters to friends or notes to mysell, of which I sometimes later sent copies to friends,/ (2 au thought at first of making these letters and notes into a boOK, e declo ard people who are diferst (協大) as and ies y mutual tudenstanding

グラマーコレクション フルバージョン の時制の範囲の答えが分かりません｡ 教えてください よろしくお願いします

/ Practice …… 1英文中の空所に入る適切な語または語句を選択肢から選びなさい。 ) the Post. 1. Bill is reading the Times today, but on Sundays he ( 2 reads O is reading 3 was reading の will read (阪南) ロ 2. It ( )a long time to finish the job last night. O would take 2 took 3 has taken 4 had taken (上冒大) ロ 3. If the weather is good tomorrow, we ( ) outside. Owould play 2 will play 3 played の have played (松山大) ロ 4. The boys ( ) basketball on the courts right now. O play 2 have been playing 3 are playing の playing (中京大) ロ 5. He( ) tennis next Monday. 身02 Ois playing 2 had been playing ③ has played の play (動導大) 10

これが何の教材か知りたいです。知っている方いれば教えてください。polestarⅢの問題集みたいなやつです。

LESSON 3 Paragraph 3 An Appalling Waste of Food (教科書 pp. 18~19) クラス 番号 名前 130 Read the passage and answer the questions below. Obviously, we need to pay more attention to shopping and eating habits. It is not uncommon for shoppers in the developed world to throw away as much as half the food they buy. The tendency to indulge is driven by marketing schemes that offer “buy one, get one free,” even if we really do not need that second item. It is hard to say no to a bargain. We need to learn to say “no" more effectively. Indeed, consumers need to be more discerning throughout their shopping experience and be vocal in words and deeds. The study of shopping habits is extremely advanced and corporations live and die by their data. If consumers make a conscious effort to change their habits, (a)retailers will notice. Consumers can also make better use of food banks and other resources that help the hungry and (b )fortunate. On the individual level, they need to be conscious of the ( b ) fortunate before they throw good food out. And, they too should be encouraging the organizations they work for and the places they shop to be equally solicitons of the noody Education should emphasize the neea w avoid wasting food. Again, it is all abont snding sianele Tt is unrealistic to expect to eimimate an waste in food. But the idea that one-half of food production is wasted-and that much of it is because of aesthetic reasons is intolerable. 1.What does phrase (a) imply? (4点) ア. retailers will notice the importance of consumers' shopping and eating habits イ. retailers will notice shoppers don't want so many items ウ. retailers will notice they should change their marketing schemes 2. Fill blank (b) with the most suitable word. (4 点) 3. Choose the best answer to fill each blank. (4 点×2) 1)“Buy one, get one free” campaign Diswell known to shoppers in the developing world のis driven bythe tendency to indulge shoppers' habits Boften makes us buy things we don't really need Oencourages us to say “no” to a bargain 2) Consumers should be pushing companies and shops Dto use food banks regularly Onot to throw out food products before the sell-by dates Beducate children to avoid all kinds of waste' のto be conscious of the needy PutT (True) or F (False) in the brackets. (2点×3) ア、 We should be more careful about buying and eating imported food. イ. Sending signals that we are changing our shopping and eating habitsis very important.. ウ. We need to stop disposing of food because of aesthetic reasons. CDの-26 istening quiz : Answer in English. (4点×2)

数3やらない人って、ガウス記号[ ]と出会うことは今後二度と無いのでしょうか、

これ漸化式の説明なんですが、αのところマイナスになってますよね？プラスではダメなんでしょうか？ 例えば、2枚目のような感じです！

一般に,p, qが定数でpキ1のとき,漸化式 0 an+1 = pa, +9 2 が an+1-α = p(an-a) と変形できたとすると,数列{an}の各項から定数aを引いた数列{an-e} は,公比かの等比数列となる。 ba+a7 4- Dataになるめを 考える メ= Dod+4 2を変形すると an+1 = pan- この式とのを比較して q=- ba+a よって,pキ1のとき,aは q= pa+q を満たす数である。 この考えを利用して,an+1 = り.334-1-あこ3 pa,+qの形の漸化式で表される数列 {a,} の一般項を求めてみよう。→等代利の形に 10 例題 新イレポ tnt \hエlの an.エ ra1

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Several studies in the laboratory (A) demonstrates (B) demonstration (C) have demonstrated (D) has demonstrated the link between asbestos and cancer.

Bの4教えて欲しいです！ あと他の問題で間違ってるとこがあったら教えて欲しいです！

)内から正しい選択肢を選び、文を完成させましょう。 :CheckLink かさんnre 1. Do you like ( a. vegetable っo Carl takes his coffee with(a) milk b. a vegetable C. vegetables )? コカさトA い b.a milk c. milks ). 3 I don't have ( a. many b. much C. few ) money in the bank. の 4. Charlotte has (al long hair b. long hairs C.a long hair ). 5. I need ( a. an information b/ some information C. many information ), please. 6. I don't know much French あり 7. Hurry up. We don't have (a/little only (a. little (石 b. few b.a little(c.a few) words. の c. much) time. 8. It's rainy today. There are c.a little) people in the park. 複資 ラ 知詞 a. few b. little 天、 B 例にならって英文中の間違いを含む部分に線を引き、[ ]内に正しく書き直しま しょう。 1. A: Do you have a car? B: No, butI have eemedriver's license. a 1 2. A: Does Pam eat eats? →[ment →[Cchicken People B: Yes, but only chiekens. 鶏同は不る A: Ten person are on this tour. →[ childreん →[ few B: Are there any child? A: There are little students here. て書いてみよう! B: Yes, it's small class today. →[ a cup o0f6 ftie A: Here, have-eup of coffee. B: Thanks. Do you have some sugars? →[ sager. Ission ! 2. 可算名詞·不可算名詞に注意して書いてみよう ! 日本語を英語に直しましょう。 一 文英 -日はあまりたくさんのお金を持っていません。 daialgmoa orT _ tedy. Ldomt have much Money の中に3切れのピザがあります。 There are 3 3lices of pizza 1ん the oX