赤の矢印のところがわかりません。教えてください！格子点の問題です

花子:1,tを自然数とすると、2'St<2'+1のとき,領城 D内において直線x= O や 第4問 数列 第4問(選択問題)(配点 20) (0<y$logax (2SxS72 0 Dは、右図の灰色の部分である。 「 だし、x軸上は含まない。 立不等式 ax- 2 'sloga.x の表す領域をDとする。 の表す領 1-8- 太郎さんと花子さんは,次の問題について話をしている。 y= log」x 000 2SrS72 T 2 内M | 2 72 領城D内において、直線x=2 上の格子点は(2, 1)の1個。 直線x=3上の格子点は(3, 1)の1個。 直線x=4上の格子点は(4,1),(4, 2) の2個。 問題 座標平面上で, 連立不等式」 E S0 不等式から、母比率pの。 の範囲を求める。 0.0800 80uno O724 TA) の がともに整数である点のことである。 お る レウお で関 sI<2*)のとき、底2は1より大きいから アは 直線x=5, x=6, x=7上の格子点も同様にいずれも2個である。 太郎:格子点の個数はどうやって求めたらいいのかな。 花子:領城Dにおける直線ェ=t(2StS72) 10e1.0aroro 上の格子点の数を考えてみよう (1) x座標に着目して格子点を求める方法を考えている。 log:2'S logat<log:2'*1 1- S logatく+1 個あるよ。直線x= 8.01889.0 イ2個あるね。U ア よって、直線x=t上の格子点は ()SIE ATTENTION 」 「信頼区間」という言象。 正しく理解しておくこ。 だ。3 tnie 太郎:直線x=2上に ア||個あり,x=3上にも るな回間る であるから、全部で1個(O)である。 また、格子点が1個である!の値は -[A」 x=5, x=6, x==7上には, いずれも A と 同じ個数の格子点をもつまをひと まとまりとして数える。 上には「ウ0個の格子点があるね。2°=64 だから,領域 D内の を計算して求められ、 2', 2'+1, 2'+2, …, 241-1 だけあり、その個数は 2+1-2= 2'(2-1) =2' (個) 領城D内の25×<2°の範囲に含まれる格子点の個数は、こささ 18-X 0.0 さち小地 1 エ S. 2Sx<2°の範囲に含まれる格子点の個数は 「を1,2,3,4,5としたときの個数の総和であるから d これに,2SxS72の範囲に含まれる格子点の個数を足すと全体の個め ofcata.s.o 2* (O) Sリ= (E.E<7 S.S 2S209-aと表される。 8881.0- が求められるね。 0 バ0.0 )領城D内の格子点で 座標が1であるものは 数学化するカ ウ の解答群 a T0o1 s 2080 E10』 であり,y座標が1である格子点の個数は全部で71個である。 次に、y= logaxにおいて、y=2のとき <B] log2x =2より x=4 y座標が1,2のときの格子点の個 数をもとにして、, y座標がkのと きの格子点の個数を考える。その とき、logax=k よりx=2* であ ることを利用する。 O 1-1 01 の +1 -D よって,y座標が2である格子点の個数は 100- 出本 障 B y= log2x のグラフ上の格子点を求 める。 ェの解答群 と であるから,全部で 69個である。 次に,kを1Skい6を満たす自然数として, y座標がんであるとき、 ルe,0 880N.0 K o 0 2(k-1)-2* 100000.0182uNo8S 誤答注意」 log2x=kより 0 22 CL T0 60 とおくと 格子点の個数を数えるとき、 両端のx座標の差から「(72-2' 個」としては間違いだ。 数列a,a+1, a+2, …、b の項数は、b-a+1となること 注意! D×00.1-%%=A 0.0×a0.1-0S.0= x=2 B.0.O.0 OAO BS 0 2-2*+10 2(e+1)-2- O 2(k-1)-2*+1 よって,第々群に含まれる格子点は atsL0 880b.01TyON ovO01 00 であるから,全部で(73-2*)個(0) である。 (数学II·数学B第4間は次ページに続く。) カxa0.1+%3 (第2回-15) A-8-」

図形は4面体PABCの展開図であり、P1、P2、P3がPに対応しています。そして三角形B、Q1、Q2が正三角形なのですが、？の部分が分かりません。教えてください🙏

| P. H, P:Hがそれぞれ辺BC, AB 2 = 5/3 S 0 16 C C の円の中心をKとする。点P,はこの円周上にある。 A 金様の P,K上にある。 か B 線上(@)にある。 Point -ATTENTION ! 全の各の 00SE 2s (3) AP, BQi について, ZP」QiB=90° であるから Ps BQ」 P.B ように注意しよう。 COSQ = よって A BQi= PiBcosa = PBcosa 2500m 5 =15 3 = 3- P2 同様にして BQ2= P2Bcosa=PBcosa 15 /5 =3- 3 「差がつく! |4点Q1, B, Q2, H は同一円 上にあり,線分BH はこの円の直 径である。 この円は3点Q1, B, Q2 を通るの で, ABQ」Q2 の外接円でもある。 したがって, 線分 HQ」 や線分 HQ2 の長さがわからなくても,正 弦定理を用いて, 直径 BH の長さ を求めることができる。 であるから B BQi= BQ2 P1 ここで,(1)より, ZQ:BQ2= ZABC= 60°であるから,ABQ.Q2 は 正三角形となり 風向がかのこ等処角 Q:Q2= BQ」 =5 あってーう正ン角形がある 次に,ZHQ」B= ZHQ:B= 90° であるから, 2点Q1, Q2 は, 線分 BH を直径とする円周上にある。 で よって,ABQ」Q:において, 正弦定理により関係は, 次の表のように Q」Q2 sin 60° BH = D 三 走行距離x tm) D 正弦定理 △ABC において =/5. 2 2,15 V3 3 1200<S 1500 1500<x1800 a b sin A C sin B sin a= 2R ン

全く和訳できません｡

QHint attention from their friends and family. Also, people looking at 才ば Read the passage and answer the questions. A selfie is a Ophoto of a person ora group of people taken by m a person in the photo. Smartphones make it easier for people to take photos and they play a big part in the popularity of taking selfies. A device called a 'selfie stick' was created, that allows 5 people to take selfies more easily. And now people even use drone dróun drones to take pictures of themselves from all kinds of places. se 2 People enjoy taking selfies to show what they wear and how e DneiR. bmoie tuot,o19i they look. Young people often share their selfies on social networking services. When someone posts a positive comment 10 about a selfie, it can make the person in the selfie feel more confident. For young people, selfies are an easy way of expressing emotions and connecting with others. emotion imóuan connect with However, not everyone likes the new trend of taking and sharing selfies. ③ Many people don't feel comfortable looking at 15 other people's photos. They feel that those who post their selfies ~とつながる 44 eninelt on social media only think about themselves and just want 19 1600l them may feel sad and 1onely when they are not included n photos of family and friends having fun. 20 Posting selfies on social media can be a fun way of sharing8 personal experiences and feelings. But when we do D it, think about the effect our photos may have on our friends and family. we must

ここのマーカー部分の問題です。 模範解答はwhomとなっているのですが、 whoと答えても正解ですか？？ whomとwhoの違いを教えてください。

)hope to live in harmony with nature. 1( )に適切な関係代名詞 (that 以外)を入れなさい。A, C 1. There arealot of peqple ( ) saves a lot of water. 2. We bought a washing machine ( ) is ten years older, will get married in June. ) he found very interesting. 3. My sister, ( 4. He read the book, ( 5. They announced the project ( ) we will work on next year. 6. Andy is one of the members with ( )we worked. 7. The words ( ) you should pay attention to are technical terms 本の

11番の文のdoはなんのためにあるんですか？

る. Although he is young, his works have been attracting a( 仏島工業大) TLOM am Tの の large ) deal of attention. 2 little sw gnite ③ good meo oit ④ much lo odmn Tlsgie (中央大) ) people decided to desert the town and to flee to the rural area. otuif o ) ①A number ② The number so T Og(4) The number of um m (東邦大〉 10. I found her talk very ( Ow al altal sai の interest 2 interested aniti ③ interesting 〈東京理科大) 4 interests ed botieiv od. oJ pfde gd 11. I really do like Professor Sato's lectures. I am always ( )in what she says. の much interest rot 1sod-b iedi dmy guorilA as 9st o ()(南山大) (2) very interested 大論士国3) very interesting o nbl 4 many interests 12. I pretended to be interested in the conversation, but it was really very ( nob). W L 大東〉1 bore つimon 2) bored mon(3 boring Ihoimon 4 boredom imonoe ① (城西大) 口 13. She was so (s916) with the book that she didn't bother to finish it.sxiuBgTO O 8S 大央中)D bore basimond2 bored oimon 3 boring oimon boredom irmonooe((立命館二 910m ed of asl nees | 14. I was ( ) with the DVD and stopped watching it. o ( ③ disappointing④ disappointment oo ① 〈 O disappointblar ② disappointed )6ai eueai snii2 inurluasY of 15.( )to see the fireworks.irD 1ol 19s sue 2 I excited vitiense ( ① pjs

なんでaが副詞的用法になるんですか？

解答·解説書p.45 1oThe United Nations has named March 22nd as World Water Day (a)to focus attention on the importance of fresh, clean water and bto prómbte the sustainable 正解 3。 management of fresh water resources. gAlmost one billion people one seventh suffer from constant hunger. oThe crisis could become more intense as the global population grows. Our ability (to increase food of the world's population production) will require sufficient water water will be available (for peoplè)to roW Food. eMore than 70 percent Of the (1)and new methods ato predict how much waten used in the world)goes towards agriculture, oInmany developing countries, ミシ the amount used for agriculture is more than 90 percent of the total. )(a)~(d)の不定詞のうち,他の3つと用法が異なるのは?( (→ p.20 20) のond が

英語です。 関係詞の分野です。 教えて下さい。 お願いします。

)内に入る適語を下から1つ選び, 記号で答えなさい。 同じ語を何回 使ってもよい。なお, who(ever) と whom(ever) は区別すること。 1. Yokohama is the city ( )I want to live. 2. This is the town ( )I was born in. 3. There were many words ( )meanings I didn't know. 4. I shall never forget the day ( )I first arrived in Tokyo. 5. She is selfish. That's ( )Ican't get along with her. 6. You may give this picture to ( ) wants it. 7. I gave some money to the children ()I thought were hungry. 8. There may be students for ( ) this test is too difficult. 9. It was such a big fish ( ) he had never caught before. 10.( ) he said, no one paid any attention to him. 11. Iwill employ ( )you recommend. 12. He lost ( )little money he earned. エ、which ケ.whoever 12uア. who イ. whom ウ. whose オ、what カ, when キ. where ク、why コ. whomever サ. whatever シ. than ス. as

Power on 2のLesson 6です！写真が本文なのですが、Part 3にはいくつの長所が書かれてますか？

Tas Lesson6 Vegetable Factories 予習プリント PAF Task-1: Translate underlined parts into Japanese C C PART 1 Takumi: Angelina, have you ever heard of vegetable factories? I learned about them for the first time on TV last night. Such factories were first built in Denmark in 1957, and similar factories were PAI also introduced in the US in the 1970s. Angelina: Vegetable factories-yes, 1 know about them, too. In Japan, they were first built in the early 1980s to produce kaiware sprouts. These factories are now attracting much attention as a new type of agriculture I hear new vegetables like frilice lettuce and ice plant are being produced there. Takumi: Wow! You really knowa lot about vegetable factories. Angelina: Would you like to know more? Takumi: Definitely! もちろみ に C フリルレタズ C PA C C C PART 2 C You may be surprised to hear that we can grow vegetables without the sun and soil. But that is what people do in vegetable factories. In these factories, electric light and fertilized water are used instead of the sun and soil. Temperature and humidity are also controlled. It seems that limited space in vegetable factories is not a big problem. Workers fully use the space by stacking shelves of vegetables. Actually, you can find small vegetable factories in the previolisly wasted space of office buildings or restaurants. At present, the main crops from vegetable factories are leaf vegetables. But in the near future, PA C C Ta more varieties of vegetables are sure to come. し]必ず…する PART 3 What are the good points of vegetable factories compared to traditional agriculture? For one thing, they can provide a stable supply of vegetables, even in bad weather conditions. For another thing, vegetables grow much faster in a controlled environment. Other good points include no use of chemicals and good taste with more vitamins. Unfortunately, vegetable factories still face one challenge. Running them requires a lot of money. Because of this cost, these vegetables are expensive to buy. Hopefully, in the near future, we will have solved this problem. うまくいけば PART 4 文に、科に Talkumi: Agriculture without the sun and soil. Hmm. That's a great idea indeed. Honestly, Ive got a bit of, ahem, “agriculture shock" from what you've just told me in a good way though. Angelina: Ha-hal Have you? Good. If we can develop vegetable factories on a large scale, we may be able to solve the problem of food shortages. Takumi: Yeah, I agree. And the way we view vegetables may change whether we like it or not. Oh, by the way, Angelina, culture and agriculture are closely related, as you can see from the words. Agri-means “farming," and culture means “to grow something." Angelina: Oh, so you're giving alecture now! 422words

並び替えを教えてください。 毎日の食事では脂肪や食物繊維の量にもっと留意するべきです。 We ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) fat and fiber in our daily diets. 1.amount 2.atte... 続きを読む

お願いします

Lesson 7 教科書p. 98~99 Japanese Dishes from Abroad Part Sのd menl 城 0 A2 10. source 図sS.rs) B111.lead 回 li:d] B2 12. campaign国 kempéin) A1 13. supermarket 図 [sd:parmáxrkat CD-2 1 Reducing CO2 emissions / is now one of the mo 26. increase 動 inkri:s) .cafeteria 図(keatioria) 10 の important problems / that we have to tackle. // Ther。 A2 8. area 図éoria) 9. attention 圏 aténfan] is a report / saying / that choosing local products / is 0 effective. // The number of people / who are interested 内容を理解しよう in food miles / has been increasing. / の Doducing CO2 emissions is now one of the most important problems 2 In 2008, / some university cafeterias in the Kansai that we have to tackle. の二酸化炭素排出量を減らすために効果があるとして紹介されていることは何です area / showed food miles and CO2 emissions / on the か。3語の英語で答えなさい。 6 enu. // Many students said / that they had never の The number of people who are interested in food miles has been paid attention / to the sources of food / before. |/ “I increasing. Q has been increasing の主語は何ですか。1語の英語で答えなさい。 didn't know / where our food came from,” / one student 10 の said. // “Now / the information on the menu / leads 6 Many students said that they had never paid attention to the sources of food before. me to choose food / with fewer food miles / and CO2 Q the sources of food とほぼ同じ内容を表す表現を,第2パラグラフから書き出し なさい。 emissions.” |/ 0 “Now the information on the menu leads me to choose food with 0 3 “Food-mile campaigns” have started / in many fewer food miles and CO2 emissions.” Q the information の具体的な内容を,英語で答えなさい。 0 parts of Japan. // You may see information / about food 15 and miles / at supermarkets and restaurants. // B もう一度Part 3 全体を読み,次の要約文を完成させなさい。 )量を減らすよう努めなければならず、フ 今日,私たちは二酸化炭素(1. 122 words )を持つ人が増えている。2008年,いくつかの大学食堂 )と二酸化炭素排出量がメニューに表示され,多くの学生が食物へ )のあちこちではじまっ ードマイルに(2. 単語を調べよう 内に日本語の意味を補いなさい。 で,(3. の関心をより示した。「フードマイル運動」が(4. B1 1. reduce 動 [rid6)ú:s] 2. emission 図 (imifan] B2 3. tackle 動 [tek] ている。 A2 4. local 岡16ukl] 7 Part 3