このメネラウスの定理がよく分かりません

PRACTICE…74° △ABCの ZAの外角の二等分線がBCの延長と交わるとき, そ 「ことをメネラウスの定理の逆を用いて証明せよ。 「それぞれ Q, R, S, Tとする。2直線 QS, RT が 74 メネラウスの定理の逆 347 要例題 OOOO0 いて証 直線を引き,辺 AB, CD, BC, DA との交点を ーズ Q, R T D A スペー 0で交わるとき,0, A, C は1つの直線上にある チェバ O R P 放強が 基本事項2 BS C p.341 基本事項 4, 基本 70 CEART メネラウスの定理の逆 3辺またはその延長上に3点0, A, Cがあるような三角形を見つける。 また。 平行四辺形であることを用いて, 等しい長さを考える。 lOLUTION 三角形 3章 解答 8 POS と直線 OR にメネラウスの定理を QR PT SO (RP TS OQ 二理を用い たのでは CQ=QA, ことより, 1となる ている。 こがわか の定理の れ,3つ つること っしやす を正し 0 -=1 用いると OR=BC, RP=CS, PT=QA, TS=AB BC QA SO CS AB 0Q ←四角形QBCR, PSCR, Q R P AQPT, ABSTは平行 =1 であるから 四辺形。 B S C QA BC SO -=1 AB CS OQ すなわち よって,ABSQと3点0,A, Cについて,メネラウスの定理 の逆により,3点0, A, C は1つの直線上にある。 まま in」「メネラウスの定理の逆」の証明 (p.341 基本事項 4 参照) 2点Q, Rがそれぞれ辺 CA, AB上にあるとき(図[1]参照), 直 線QR と辺BC の延長との交点をP'とする。 メネラウスの定理 A R Q により BP' CQ AR -=1 P P'C QA RB B C BP CQ AR ニ=1 PC QA RB BP (Bp P'CPC ※対応 の販売です。 仮定から ゆえに R 「,Pはともに辺BCの延長上にあるから, P'はPと一致し, 3点P, Q, R は1つの直線上にある。 Q, Rがそれぞれ辺CA. BAの延長上にあるとき(図 2参照)も同様。 Q PB C をP, き。 で YOX り交点をDとする。ZB. 2Cの二等分線と辺 AC, ABの交点をそれぞれ, E, Fと ると,3点D, E, Fは1つの直線上にあることを示せ。 て 察 日。 三角形のいろいろな定理

線を引いてるところの文構造教えてください

For three days after this operation I hovered between life and death, ETR 07 or eight days my But in seven any breath expected to be my last. VItality returned in a small wav. and I was considered to be well out of 片々に danger. It was at this time that the kindness of these people touched me 5 to the heart. With such kind attendance within, and so much kindness from without, what wonder that Iwas now fit to return to England, five weeks after the accident, after having undergone two serious operations! A couple of weeks ago a broken bone in my foot made it necessary for What was pleasant me to limp around with a stick for several days. 10 about this otherwise painful experience was the way I was treated by everyone. People opened doors for me, helped me into cabs, gave me room in elevators. Their consideration made it a temptation to keep the stick longer than I needed to have. My spirit blossomed under this kind public Me treatment.

解読(？)お願いします！ 現代のネイティブの人たちには読みにくい英語で書かれているそうです どこが今と違うのか教えてほしいです！🙇‍♂️

I looked with amazement at the absurd hieroglyphics upon the paper. “Why, Holmes, it is a child's drawing,” I cried. omioH loolhed2 “Oh, that's your idea!” 線I 日I日T平 300 原8 日1月0平0SOS “What else should it be?" “That is what Mr. Hilton Cubitt, of Riding Thorpe Manor, Norfolk, is very anxious to know. This little conundrum came by the first post, and he was to follow by the next train. There's a ring at the bell, Watson. I should not be very much surprised if this were he." A heavy step was heard upon the stairs, and an instant later there entered a tall, ruddy, clean-shaven gentleman, whose clear eyes and florid cheeks told of a life led far from the fogs of Baker Street. He seemed to bring a whiff of his strong, fresh, ww bracing, east-coast air with him as he entered. 内書 TS

線引いてるところが分かりません。教えて下さい

or eight days my ETR07 ただとう さう But in seven any breath expected to be my last. vitality returned in a small way, and l was considered to be woll わ danger. It was at this time that the kindness of these people touched With such kind attendance within, and so much kindness 5 to the heart. from without, what wonder that I was now fit to return to England, five weeks after the accident, after having undergone two serious operations! A couple of weeks ago a broken bone in my foot made it necessary for t me to limp around with a stick for several days. What was pleasant about this otherwise painful experience was the way I was treated by everyone. People opened doors for me, helped me into cabs, gave me room in elevators. Their consideration made it a temptation to keep the stick ake Fr longer than I needed to have. My spirit blossomed under this kind public treatment.

なぜこのような訳になるのかが分からないので教えて下さい

of .「…から」の意味です。「ここが,もうちょっとこうなっていたらよいのに」 (It is 副詞句that S V>の強調構文で書かれています。 [→原則013] out まず「たとえ…ではなくても」と訳す」 C訳] 日常の発明品が生まれてくるのは, そうした家の中のありふ absolute failures, that everyday inventions are born, れた,完全にうまくいかないとまでは言えないまでも, いらいら 98 if +省略表現は, ます「たとえ…ではなくても」と訳 原則 045 99 例題解説」 It is out of such common domestic frustration.a する元になるものからである。 という気持ちから,発明品は生まれる, という意味です。 後に省略がある場合に生じます。 特持に if not という形が頻出です

なんでADが√5になってABDが90度になるのか分かりません

題》半径 V5 の円に内接する二等辺三角形 ABC において, AB = AC =2 とする。また, 2 Aを通るこの円の直径を AD とする。 このとき, (1) sin ZBAD= , BC= , AABC の面積= (2) 辺 AB を3:1に内分する点をM, 線分 ACの中点をNとするとき, , sin ZBAC =D 口である △AMN の面積 = , MN = である。 B CDI回- - bB= LC bD (1) AD = V5, ZABD= 90° より, ス FAH BD = VAD-AB’ = 1 1の円る番きTA A地T V5 sin ZBAD = BC と AD との交点をHとすると, ZAHB = 90° BH= HC 2 N 4 M BC =2BH =2×ABsin ZBAD = 点を重 V5 H / 8 B HAABC = ; -×BC×ABcos ZBAD = 京学チ AD 5 D 、8 京1 . 5 また,AABC = -×2×2 sin ZBAC = BO CK 4月804 4 よって, sin ZBAC = #15 (答) 順に 5:75 5'5 三 2) AM = 3 AN = 1 より, 2' , 三 1 3 3 AAMN ;×1×sin ZBAC = 員の まA 8A O 三 2 2 5 145 の代京町ラ CK 3 -×1×cos ZBAC AN-(r-2×1xcom BAC =5 MN = 10 ら 。 3 (答)順に 145 10 5 - 29 - 5

（5）と（7）でどちらの文も「彼ら2人とも」なのに なぜ（5）はbothで（7）はneitherになるんですか？ 教えてください！ 時間があまりないのでなるべく早い解答をお願いします！

of us want happiness. 口(5)彼らの2人とも欠席しました。 absent. pon (o 単 ) bosdeob e aor alasbuie of them 6 君たちのうちのどちらかがすぐに行かなければなりません。 of you has to go at once. 人 さ のきぐ 人S (7) 彼らの2人ともその事実を知りませんでした。 場合 9gao owt edi lo 1ed of them knew the fact. ( 単) …き 口 (8) わたしはそれらをすべて知っているねけでけth

模範解答がなくて困ってます(^^;) 助けてください！！！ UNICORN English Expression1の110〜117です

>LESSON 6 EXERCISES A Choose the correct words. 1. My grandfather usually ( eats/ is eating ) rice for breakfast, but this morning he ( eats / is eating ) bread. 2. It( snows / is snowing / will be snowing ) by the time we arrive at the village. 3. What were you ( did / doing ) when I called you? 4.1( didn't hear / wasn't hearing ) the bell because I was ( listened to / listening to ) music with my earphones. 5. Everyone ( knows / is knowing ) the news. 6. This fish ( smells / is smelling ) bad. EXERCISES n A Follow the example and rewrite the sentences. ex. She is a good tennis player. (You) You are a good tennis player. nod ed sH 1. They usually watch TV in the living room. (He) 2. Two students are absent today. (last Friday) 7. I didn't answer your phone call because I ( took / was taking ) a bath. 8. My aunt is always ( complains / complaining ) about her job. 3. Every night the girl reads a book before she goes to bed. (Last night) hcar B Put the sentences into Japanese. 1. Our school festival is taking place next week. 2.I was reading comic books all the time when I was a boy. B Complete the sentences. 1.“Your racket is too old, isn't it?" Vet O d1O “Yes. I( ) going ( ) buy a new one this weekend.” 3. We are moving to Kyushu next month. 4. A duck is dying near the river. 5. She was studying English all day yesterday. (買いに行くつもり) ) do this afternoon, Emily?” (するつもり) top co 2.“what( “I think I ( 3.“When ( ) going ( ) go to the beach by bike." ) school( ) in your country?" (始まる) C Change the verbs into the correct form. 1. Look! The sun ( rise ) above the horizon. 2. My dog ( lie ) on the floor when I came home. 3.I( have ) supper when he called on me. 4.I ( belong ) to the music club in my junior high school days. 5. My sister ( play ) the piano now, but she ( not like ) playing the piano. “It( ) in April.” C Choose the correct words. 1.(Are / Do/ will ) you know about the accident? 2. Ken was afraid that it ( is / was going to / will be ) rain in the afternoon. 3. If it ( rains / rain / will rain ) tomorrow, the game will be postponed. 6. They ( take ) the exam at this time tomorrow. 4. Here ( comes / come / coming ) the sun. D Put the words in the correct order. 1.昨晩は10時前に寝ました。 I went ( bed / before / last / night / ten / to ). 2.数分で戻ります。 I(a/back / be / few / in / minutes / will ). 3. あとで電話をするって約束するよ. I(I/phone / promise / will / you ) later. ean E Answer the questions. 1. What do you usually do in the morning? 2. what did you do yesterday evening? 3. What are you going to do this weekend? 2 LANGUAGE FOCUS 6-

ここのAs it (lie) in the palm of her hand, she fell in love again.のlieを適する語に変えなければいけないのですがこの場合はlayとlyingどちらですか？

nt she went round and took it. The newborn hamster was no big. abs. As it @(lie) in the palm of her hand, she fell in love again. ed her new pet Itsy Bit, because she was just an itsy-bitsy little thing. the cage and cleaned everything so that it

答えが無いので教えて頂けると嬉しいですPart2

ロ(2) 何か冷たい飲み物をいただけますか。 Could [me / cold / something / to / you / drink / give]? 演習問題 の 4 5日本語に合う英文になるように, [ 彼の趣味は写真を撮ることだ。 [is/ pictures / taking / his hobby]. aly od ]内の語(旬)を並べかえなさい。 eiv bらaiv r 次の空所に適するものを選びなさい。 ロ(1) Reading books every night ( 109 bns inoT ) difficult for me. 1. are 2. is 3. has 4. have ロ(2) I'm looking forward ( ) you at the concert. WOmomo 1. see 2. to seeing 3. to see 16W E 4. seen MS (3) Scott finished ( )a letter from his friend in Hawaii. 1. read 2. reads 3. to read 4. reading (4) He enjoys ( ang.2nhanget,Lw\pojog ) tennis with his friends every Sunday. 1. play 2. playing 3. played 4. to play 15119o1d uoy SVebrbnid aid lot enlog Yno dony Vevip 演習問題 の」 察 1次の空所に適するものを選びなさい。 ロ(1) I missed the bus, ( )I was late for school. 2. but 3. so Won sme 4. either ms 2 (1) 1.or eVsd ¥6m. ロ(2) It was cold yesterday, ( ) we swam in the sea. moT () Jnsads 3. or Yoa9ob S ) you will see that mountain better. 4. so 1. but 2. and V6d t'nob aum.e ロ(3) Come here, ( 3. and 4. though 1. but 2. so 日本5 ロ(4) Eat fast, Steven, ( ) you'll miss the bus. 4,or uovi sot 3. if 1. and 2. so