130. このような具体例（図を書いてみる等）で規則性を考えて解く問題において、どういう感じで記述するのがいいのでしょうか？？

582 ①① 基本例題 130 図形と漸化式 (1) ･･･ 領域の個数 平面上に,どの3本の直線も1点を共有しない, n本の直線がある。 次の場合、 平面が直線によって分けられる領域の個数をnで表せ。 (1) どの2本の直線も平行でないとき。 (2) (2) 本の直線の中に, 2本だけ平行なものがあるとき。 指針 (1) n3の場合について,図をかいて考えてみよう。 ヨコ 解答 an (1) n本の直線で平面が α 個の領域に分けられているとする。 (n+1) 本目の直線を引くと,その直線は他のn本の直線で (n+1) 個の線分または半直線に分けられ、 領域は (n+1) 個 だけ増加する。 ゆえに An+1=An+n+1 ¿+(T+5√]$¬1+ よって an+1-an=n+1 また a₁=2 数列{an}の階差数列の一般項はn+1であるから, n ≧2の とき これはn=1のときも成り立つ。 201 ゆえに, 求める領域の個数は __n²+n+2 2 (図のD1~D』)であるが,ここで直線ls を引くと,ls は 42=4 l1,l2 と2点で交わり、この2つの交点で ls は3個の線分また は半直線に分けられ, 領域は3個 (図のDs, Ds, D7) 増加する。 よって as=az+3 2.2-0 PARTY 同様に, n番目と(n+1) 番目の関係に注目して考える。 n本の直線によって α 個の領域に分けられているとき, (n+1) 本目の直線を引くと 域は何個増えるかを考え, 漸化式を作る。 2-14 (2) (n-1) 本の直線が (1) の条件を満たすとき, n本目の直線はどれか1本と平行になる から (n-2) 個の点で交わり, (n-1) 個の領域が加わる。 n-1 an=2+Σ(k+1)=- k=1 n²+n+2 2 (2) 平行な2直線のうちの1本をeとすると,l を除く (n-1) 本は (1) の条件を満たすから,この (n-1) 本の直線で分けら れる領域の個数は (1) から (8+.0) an-1 更に,直線ℓを引くと,ℓはこれと平行な1本の直線以外の 個の点で交わり の領域が増え よって、求める領域の個数は an-1+(n-1)=- (n−1)²+(n−1)+2 2 n²+n 2 +(n-1)=- n=3 Ilz D₂ [類 滋賀大] D3 Do D [=8+₁0 D₁ k=1 Σ(k+1)="Ek+ Z1 =(n−1)n+n-1 D2 a3=7 人 一 (n+1) 番目の直線は n本 その直線のどれとも平行でな いから,交点はn個。 (1) の結果を利用。 l DA αn-1 は, (1) の annの 代わりにn-1 とおく。 e

至急です。明日提出のためどなたかわかる方手伝っていただけたら嬉しいです。

【1】 次の英文の空欄に最も適したものを選び、 英文を完成さ せなさい。 (2点×20) (1) What time will you ( come 2 happen 3 (2) Why don't you ( (4) You ( coming. lie 2 lay 3 send 4 sleep (3) All of the guests missed you. You ( the party. *miss〜 : 〜 の不在を寂しがる must 2 should 3 would 4 will to not (5) I haven't decided ( ) go out tonight because another typhoon is ought not 2 hadn't better 3 had better not had 4 to where going (6) He is good at ( *employee ) the mountain cabin? reach 4 arrive ) on the sofa and have a nap? ) on vacation yet. where going 2 going where 3 where to go motivation 2 to motivate ) his employees. (9) The Bible might be ( 4 motivating (7) I tried counting the number of languages ( world. 1 speaking 2 have spoken 3 to speak 4 spoken (8) A truck crashed into a group of carpenters ( the park. ) have attended (10) Our boss said we had to work ( motivate to working worked 3 who works that working ) useful book of all. much 2 better 3 the more 4 the most (12) This is the house we ( (14) Stop chatting, ( Das hard 2 more hard 3 harder 4 so hard (11) This is a cave ( * Neanderthal man : ネアンデルタール人 which 2 that 3 where 4 why lived 2 live 3 lived in 4 live (13) You must hand in the paper ( *hand in : 提出する until 2 for 3 till 4 by and 2 but 3 or 4 so ) in the ) Neanderthal man lived. ) as we could. (15) John is ( 1 taken took 3 taking 4 take ) in ) when we were children. ) the professor will get angry. (1 shower now. Please call later. ) eleven o'clock

この3つの答えを教えてください。

4 (11) A: I like red. What ( B: I like yellow. 1 on (12) It's 11 o'clock. ( ) to bed. 1 Listen 2 Look (13) A: Where is the teacher's room? B: This ( ), please. 1 way (15) A: Please ( B: I will. 1 say (16) A: Bye, John. 2 about (17) I ( 1 2 time (14) I didn't go to school yesterday because I had a ( 2 coat 1 COW 3 cold take ) you? 2 show (20) This skirt is ( 1 cheap 3 in ) hi to your brother. B: Bye, David. ( ) you tomorrow. 1 Draw 2 Find 3 Bring (18) A: Is your brother busy today? B: Yes, he ( 1 am 3 Speak 3 color ) a shower at 7 every morning. 2 send 3 give (19) A: ( ) is your father, John? B: He's fine, thank you. What 1 2 Which 3 stay ). He has a big test tomorrow. 2 are 3 be 3 Who ) than that one. 2 cheaper 3 cheapest 4 under 4 Go 4 food ). 4 candle 4 stop 4 See 4 put 4 is 4 How 4 the cheapest

4番で答えはwhileなのですが 一番最初の文の主語はA workerなのですが whileのあとにalsoがこの文では来てますが S➕be動詞が修飾されているのであってますか？

イミサ? worker today might start the morning by working with a team of engineers. then send emails to colleagues marketing a new brand then join a teleconference planning an entirely different product line, (4) also uggling team meetings with people from the accounting department and the party-planning committee. To prepare students for that complex world, business schools around the country have revised their curriculums to ( 5 ) team-focused

(22)~(25)が分からなくて解説お願いします🙇‍♀️

2 It is a scientific fact that water (1) consist consists 問3 1 23 Should 4 Would you like 1 another 5 The Smiths live in 1 a big, three-story ③3 big, three-story I known that you didn't like her, I wouldn't have asked her to come to the party. 2 Was 4 Have 24 22 cup of tea? (2) other of oxygen and hydrogen. 3 is consisting 25 house. ③3 (3 (2) 4 Had still is consisted a three-story, big three-story, big (4) the others

解いたのがあっているか教えて欲しいです。

121 122 Try! Jimmy ( Tis -ro 123 It ( 1 rained 3 had been raining came home. 124 125 126 Section 5 時制の一致 I didn't know that Sam ( has recovered. 1 is ) for ten days when it finally stopped.in ( 2 was raining 4 would be raining oy bih 2 had 3 has been stsubsty Boy II 時制は? ) playing the TV game for three hours when his mother for ten days 1 shall (2) cannot 3 would 4 will be had jusübung ever was 3 has been Try! The weather forecast last week said that the temperature (9) keep 101 arising. Newton explained why apples ( 1 fall 2 have been falling Try! They didn't know that the world ( 1 being 2 is Section 6***] (4) had been (4) can and su Try! By next week, you ( This July, I ( 1 teaches 3 teach We learned in our history class that World War II ( 1 ends Try! Mr. Right ( ) in the hospital. I'm happy that he Try! I read in a book that the American Civil War ( Tot () out in 1861. 1 breaks 2 broke 3 has broken 4 had been breaking b ) in 1945. 2 has been ending 3 ended 4 would end The novelist ( 1 is written 2 will have written inom no med ( 13 latog en (tot sepit \ sonte \avit) 11 (1) 3 have fallen ) round. I will have received folo 2 receiving 3 received を表す動詞の形は? og ty 997? ) from trees. 3 be (4) were Cast of smo se } booksheque 19ven and S beansines tovon bed ) ten books when he finishes Popis 3 writes POI 4 have received T100 過去のある時点 までの動作の継続) 4 falls when節が示している I bosesq\ sonie) Tool TRAK puse as ( Dogs) [ ) here for twenty years at his retirement age. will have been working 2 is worked 3 work il avod ber (中京大) 従属節の時制は、何 の影響を受ける? 主節の動詞 didn't know に注目 ) ar est gobは歴史的事実 歴史的事実を表す動 詞の形は? that 節の内容 「第2次 世界大戦が終わった｣ 2015 n 290b 1 929 19ven blow > the next one. T100 未来のある時点 ext oneyliaでの〈完了・結果〉〈経 4 has written 験〉 〈継続〉 を表す動 詞の形は? ) the package. ortalq ad aroquis si tu bovirus I the next one [**] diw ftal 2nd S fel を書き終えるのはいつ のこと? (南山大) 変わることのない事実 を表す動詞の形は? why 節の内容は,ずっ と変わることのない事 * olon6 Sinander o'clock E ) math to high school students for 15 years. **03#±70 2 am teaching u bar (4 <動作の継続〉を表す 動詞の形は? 4 will have been teaching MERT since three boyoin for 15 years [15 J と This July ｢この7月 「で」の組み合わせに注 4 is working ayuda iniquod used E

教えて欲しいです

ます。 と違う〕 01-403, 407-40 3 日本語の意味になるように,空所を補い, 英文を完成させなさい。 hine ade (1) そろそろパーティーの準備をする時間です ono albis ns bast bart sta jarb am blar ste It's about ( ) we ( ) for the party. The walut A105*7**) 200 (2) もしあなたがいなければ、私は日本語を勉強していないでし () you, I()) Japanese (3) ジャックのホームランがなかったら, 私たちは試合に負けていたでしょう。 (didn't hear) it (w D AVEIRROCAS COS 612 B) (ute obave) (bine orie) (date of) Jack's home run, we would needbedw\hitehuient((+人☆ealak that [][][] XXTH S&O) (R) omosed of botnew I tadw sm hasles of have lost the game.

どこをどう変えたら良いか分かりません💦教えて欲しいです

各文を, 分詞構文を使った文に書きかえ, 日本語に訳しましょう。 C (1) If the lake is seen from the top of the mountain, it looks like a heart shape. (2) The team had worked very hard over the weekend and they completed the project before the deadline. (立命館大学改) the team completed the project before the deadline. ] (3) Because I was busy last night, I didn't go to the party. the lake looks like a heart shape. ( (4) When Emi was impressed by the nature of Australia, she decided to live there. ( I didn't go to the party. ] Emi decided to live there.

教えてください！😭

3. パーティーにお招きいただき,ありがとうございます。 It is (invite / of / to / very kind / you) me to the party. Connecting Activity - ON するために作られたものです。 このメモ

これの答えを教えてほしいです。

Exercise の中に当てはまる最も適切な語句を下の①~④から選んで、文全体を言ってみよう。 ) to Karen yesterday. 1) The letter ( ② sent pall hasn't sent 2) ( ) by Oda Nobunaga? ① Was the temple built ③ Was built the temple 3) This car ( ) in Japan. ① doesn't make ② didn't make 3 isn't made 4 is making )の語句を使って、イラストを表す文を言ってみよう。 なお、 1)2)は過去形の受動態、 3)は現在形の受動態を使い、必要に応じて単語の形を変えること。lll lean A 2 例 (Osaka Castle, build, in 1496) 1/100 1/ ( Osaka Castle was built in 1496. gadis brie 1) (this car, make, in China) 2) (that book, write, by Ms. Taylor) 3) (English, speak, in India) 1) 451 3 wasn't sent Were the temple built ④ The temple were built 4 was sending op Iob woH boog aung 京都市3) 2) novewdue aud C. Taylor ABC DEF FA 3 ( )の語句を使って、 日本語の意味を表す文を言ってみよう。 なお、必要に応じて単語の 形を変えること。 non S Juods yowdue ext.ndlsi 例 その魚は私の祖父によって釣られました。 (catch) PRES →The fish was caught by my grandfather. 1) フランス語はカナダで話されていますか。 (French, Canada) 2) 彼らはパーティーに招待されませんでした。 (invite, to the party) 3) 料金は今払わなければいけません。 (the fee, should be, pay) 4 受動態を使って、身近な人やものごとについて説明する文を言おう。 また、言った内容を書い てみよう。 例 Ken is respected by everyone. 75