英語長文問題です （1）イ？ウ？ （2）ウ （3）イ （4）ア 解いてみたのですが（1）が分かりませんでした （2）（3）（4）もあっていますか？

14 Paraphrase Rapid Reading [速読 目標解答時間12分 ] 鶴と亀の物語から得られる教訓は何でしょうか。 Listening EX ON の 船 1 Once there were two cranes and a tortoise who lived by a lake and became good friends. They played together all day long, sunning themselves on the sand and swimming in the lake. They were very happy and wanted to be together forever. 2 But that year there was a drought*. For five months, no rain fell at all. The rivers and the land cracked. Each day, the little lake where the tortoise and cranes dried up, lived became smaller and smaller. 3 One day the two cranes flew into the air to see how things were, and came back in the evening saying, "Tortoise, everyone is moving to the Heavenly Lake. I think we should move too. If we stay here, we'll die of hunger and thirst." 13 end sky gra 14 to O P 1 5 The tortoise shut his little eyes and cried. "Oh, you can fly or hurry as fast as you 10 get to the Heavenly Lake. But I can neither fly nor walk fast. Within three days I will be nothing but an empty shell! We have been friends for so long. Please don't leave want, and me behind." 5 The tortoise cried so much that the cranes, unable to hold their own tears back, did not have the heart to leave him behind. So they decided to stay at the lake with the 15 tortoise for a while. Perhaps the rain would come in a few days. 6 But the weather did not change. Clear stars dotted the sky at night, and the sun was they thought hot and cruel el by day. The little lake was nearly dry. The cranes said again they must go. The tortoise knew that he could not keep them there any longer, so he pleaded* with them, saying "We have been friends for so long! Can't you think of a way to 20 take me along?" 7 They thought long and hard. After some time the cranes said, "Tortoise, we have a plan, but it will be difficult." 18 The tortoise asked eagerly, "What is it? What is it?" "We'll hold two ends of a stick in our beaks*, and you can hold on to the middle with 25 your mouth. Then we can fly, carrying you between us. What do you think of the idea?” 10 The tortoise was so happy that he nearly jumped. "Yes, yes! That's a good idea! Let's start at once!" 11 The cranes were very happy, too, but they had to give him a warning. "You must be NOTES drought : 干ばつ plead : 嘆願する 32 UNIT 8 beak (鳥の) くちばし )( ).no パート ごとの 音声 ON

解答の４行目から意味がわからないのですが、なぜOBベクトル＋OCベクトルはAHベクトルになるのですか?

解答 基本 31 線分の垂直に関する証明 00000 0A+OB+OC=OHである点H をとると, Hは△ABCの垂心である。 (1)の点Hに対して, 3点0, G, H は一直線上にあり GH=2OG ABCの重心を G, 外接円の中心を0とするとき、次のことを示せ。 [類 山梨大 ] 基本 25 基本 71 (1) 三角形の重心とは,三角形の各頂点から対辺またはその延長に下ろした垂線の交 点である。 AH 0, BC 0, BH = 0, CA ±0 のとき AH IBC, BHICA AH・BC=0, BH・CA=0 ...... A であるから, 内積を利用して, A [(内積) =0] を計算により示す。 0は △ABCの外心であるから,|OA|=|OB|=|UC| も利用。 CHART 線分の垂直 (内積)=0を利用 (1) ∠A=90° ∠B=90° としてよ い。このとき,外心Oは辺BC, CA上にはない。 OH=0A+OB+OCから AH=OH-OA=OB+OC ゆえに AHBC =(OB+OC) (OC-OB) |=|OC|-|OB|= 0 同様にして B BH・CA=(OA+OC) ・(OA-OC) =TOA|-|OC = 0 また,① から AH=OB+OC=0, BH=OA+OC0 よって, AH = 0, BC≠0, BH ≠0, CA ¥ 0 であるから AH BC, BHICA すなわち AH⊥BC, BHICA したがって, 点Hは△ABCの垂心である。 直角三角形のときは ∠C=90° とする。 このとき,外心は辺AB 上にある (辺AB の中 点)。 ABC=OC-OB (分割) △ABCの外心 0→ OA= OB=OC (数学 A) 検討 635 外心, 重心, 垂心を通る直 線 (この例題の直線 OGH) をオイラー線と いう。ただし、正三角形 は除く。 1 位置ベクトル ベクトルと図形 (2)OG = OA+OB+OC 3 OA+OB+OCOH 5 = から OH=3OG <(1) から 3 OA+OB+OC=OH ゆえに GH=OH-OG=2OG よって, 3点 0,G, Hは一直線上にあり GH=2OG P 31 右の図のように、△ABCの外側に となるように, 2点P,Qをとる。 AP=AB, AQ=AC, ∠PAB=∠QAC=90° 更に、四角形 AQRP が平行四辺形になるように点Rをと B ると, ARIBC であることを証明せよ。

大門7（2）の解き方を教えてほしいです😭 答えはエでした

① 0.9億年前 ② 1.2億年前 (ア) 動物 C と動物Hの祖先が分かれた時期 (イ)動物Dと動物Eの祖先が分かれた時期 のそれぞれを示すものを次の①~⑩からそれぞれ1つずつ選び、番号で答えよ。 第7問 脊椎動物のあるタンパク質aは、約140個のアミノ酸からなる。右の 表は、動物 Aから動物までのタンパク質aのアミノ酸配列を比較し、互いに異 なるアミノ酸の数を表したものである。 (1)この表における動物と動物Hの祖先が約1.8億年前に分かれたとする。 このタンパク質を構成するアミノ酸のうち、1つが置換されるのに必要な 年数が一定であると仮定するとき、 B 74 148-48 C 84 85 D 64 65 75 E6567-80 28. 72(244 42コアラ F62 68 79 17 23 213 ×証かく共通の祖先で -3.62x G 69 71 75 25 26 25 H717584 43 42 37 49 =21 423 変わってる 1 67 71 80 26 33 27 37 49 BCDEFGH ⑥ 2.4億年前 ③ 1.5億年前 ④ 1.8億年前 ⑤ 2.1 億年前 ⑦ 2.7億年前 ⑧ 3.0億年前 ⑨ 3.3億年前 ⑩ 3.6億年前 12 先に示した表を元に、各動物の類縁関係を示す分子系統樹を作成して下の図に示した。ただし、 各線分の 長さは、それぞれが分かれた年代を正確に示しているわけではない。 この図における ① ~⑨に当てはまる 動物A~Iの組み合わせとして最も適切なものを、下の F-A62 F-C 79 22.4xh くがいろばん ~ ・(オ)の中から1つ選び、記号で答えよ。 D ●F 12 (2432 = 4446 6 192 遠いね モル =19zx -B 85 C-484 ⑦ ② C AC A B Fと差が 共通祖先 いちばん少ないのは 2320 何?ま、かな ? (ク) (土) C F-R18 A B (C F-H37 HHA ③ B C B A C HB B ① ⑤ ⑥ ⑦ ⑧ D G I E @F 32732 I G D E F E G I D F H I G E D F E I G H D coocal F

解答見ても、解き方はわかるのですが、なぜそうなるのかが分かりません、、😭

次の等式を満たす有理数, gの値を求めよ。 (2+√3)p+qv3=6-4/3 無数のとき を *(1)

下の英語長文のhowの部分の訳し方について質問です。（空欄→whatです） how their resolutions compare with the previous year's behavior. の部分を、「どのように彼らの決断は前年の行動と比較するのか」と訳した... 続きを読む

Every year, one of the most popular new year's resolutions is to stay fit and healthy. In one study, 32% of the volunteers said that they wanted to "lose weight." However, when we look at how consumers are planning to meet their health and fitness goals, ( 1 ) is eye-opening is how their resolutions compare with the previous year's behavior. For example, 43% of people in the U.S. say they plan to lose weight by making healthier food decisions, but 76% said they did not follow a weight loss or diet program.

【至急】教科書の章末問題がまじでわからないです。 なにみてもわからないです。 全ての問題全般的に教えて頂きたいです。

問題 1. 全体集合と、その部分集合 A, B について、 n(U)=100,n (A)=60,n(B)=40,n (A∩B)=15 であるとき、次の集合の要素の個数を求めよ。 5 (1)Ā (2) AUB (3)ANB (4) ANB →p.15,16,17 第1章 ● 場合の数と確率 10 2. 100から200までの整数のうち、4でも6でも割り切れない数の個数を 求めよ。のさいころを p.17 3.大小2個のさいころを投げるとき,次のようになる場合は何通りあるか。 (1) 目の積が奇数 (2) 目の積が偶数 (3)目の和が偶数 11. 2. 3. →p.21, 22 01 15 4. 大人5人,子ども4人が1列に並ぶとき,次のような並び方は何通りあ るか。 (1) 両端が子どもである。 (3) どの子どもも隣り合わない。 (2) 大人と子どもが交互に並ぶ。 1. 3, 5) C=(1,2,3,4,6 →p.27,28 5. 先生2人と生徒6人が円卓のまわりに座るとき,次のような並び方は何 通りあるか。 (1) 先生2人が隣り合う。 (2)先生2人が向かい合う。→p.30 6. 12人の生徒を次のように分ける方法は,何通りあるか。 20 (1)7人,3人,2人の3組に分ける。れる事象を全事象、空 合 (2)4人ずつ3組に分ける 起こる事象で (3)6人,3人,3人の3組に分ける。 → p.36 7. 多面体の各面を,次のように塗り分けるとき, 塗り方の総数を求めよ。 なお,多面体を回転して各面の塗り方が一致すれば同じ塗り方とみなす。 すい (1) 正四角錐の5個の面を, 赤青黄白緑の5色で塗り分ける。 (2) 立方体の6個の面を,赤青黄白緑黒の6色で塗り分ける。

以下の写真の様な問題の解き方を教えてほしいです。 問題を貼っていますが、一問ごとの解説ではなく 全体的な分け方について教えてほしいです。 お願いします。

1. I am planning (to travel / traveling) to Europe next month. 2. She is very good at tennis, so you should avoid (to play / playing) against her. 3. We managed (to catch / catching) the last train just in time. 4. I really don't mind (to wait waiting) for another thirty minutes. 5. He promised (to call / calling) me as soon as he arrived at the airport. 6. The company decided (to close / closing) its Tokyo office. 7. You should practice (to speak / speaking) English every day. 8. They offered (to help / helping) us clean up the kitchen. 9. I can't imagine (to live / living) without my smartphone. 10. He refused (to sign signing) the contract until he read it carefully. 11. She gave up (to look / looking) for her lost earring. 12. I expect (to finish / finishing) this project by Friday. 13. We ended up (to stay / staying) at a cheap hotel because of the storm. 14. They put off (to have / having) the meeting until next week. 15. He pretended (to know 16. The thief denied (to steal / stealing) the expensive watch. 17. I cannot afford (to buy buying) a new computer right now. 18. Have you finished (to wash / washing) the dishes yet? 19. She hesitates (to tell / telling) the truth to her parents. knowing) everything about the issue. 20. I enjoy (to listen / listening) to podcasts while commuting. 21. My brother suggested (to go / going) to the beach this weekend. 22. We hope (to see / seeing) you again in the near future. 23. You must keep (to try / trying) until you succeed. 24. The doctor recommended (to take / taking) a few days off. 25. He failed (to pass / passing) the driving test for the third time. 26. She dislikes (to wake waking) up early on Sundays. 27. They are preparing (to move / moving) to a new apartment. 28. I miss (to hang / hanging) out with my friends from high school. 29. He demanded (to speak / speaking) to the manager immediately. 30. Please escape (to make / making) careless mistakes on the exam.

答えが③なんですけど解説見てもよくわかんなくてなんで③になるか教えて欲しいです。私は②か④でなやんで接続詞かなっておもったりしたけど違いました😭

6 Our boss was sick at home, so we did finish the project. 13 we thought was needed to PE how 2 that 3 what 4 which i w obie

英語リードAです。主格、所有格、目的格それぞれ見分け方が分からないです。

4 〈関係代名詞> 次の2文を関係代名詞を使って1文にしなさい。 (1) I have a cousin. He can ski very well. I have a cousin ovil od basebne na oved (9) (2) This is the card. He sent it to me last week. 3oob o This is the card V (3) Brian bought a book. Its cover was black. Brian bought a book (4) The building is a museum. It stands by the lake. 110 dair is a museum. (5) We like the student. Our teacher introduced him to us.da We like the student (6) Look at the lady and her dog. They are running over there. Look at the lady and her dogjai m loodba odt at ardT (1)

4行目の「in order not to」は「not to」には置き換えられないと習いました。どういうことですか？😭

4 Despite the happiness his new life brought, Saroo missed his family in India. He also wondered about his origins. He believed his memories about India would help him hold onto his identity. Since he couldn't read and write back then, he often recalled them in his mind in order not to forget any detail. Sue, Saroo's adoptive mother, was an understanding person. She noticed Saroo was a lovely sensible child when he came, so she knew he had been loved by his birth mother. She believed that his memories of his past were very important to him. So, to help Saroo keep his memories, she wrote down what he told her in diaries.