青チャートII・Bの確率漸化式の問題です。 波線の部分はどこから出てきたのでしょうか。また何を表しているのか教えてください。

1個のさいころを投げ, 出た目をaとするとき, as2ならばx軸の止の方、 原点を出発点としてさいころを繰り返し投げ, 点Pを順次移動させるとき、 魚 586 里要 例題133 確率と漸化式(2) …隣接3項間 座標平面上で,点Pを次の規則に従って移動させる。 aだけ移動させ,az3ならばy軸の正の方向へ1だけ移動させる。 原点を出発点としてさいころを繰り返し投げ,点Pを順次移動させると。 数nに対し,点Pが点(n, 0) に至る確率を pnで表し, po=1 とする (2) Dnを求めよ。 (類福井図 (1) Dn+1 を Dn, pn-1 で表せ。 基本123,132 指針>(1) Dn+1:点Pが点(n+1, 0) に至る確率。 点Pが点(n+1, 0)に到達する直前の状態 を,次の排反事象 [1], [2] に分けて考える。 ォー [1] 点(n, 0) にいて1の目が出る。 CHAC [2] 点(n-1, 0) にいて2の目が出る。 (2)(1)で導いた漸化式から pを求める。 Pn 指 目回 n-1 n Pn-1 1 6 解答 (1 (1) 点Pが点(n+1, 0) に到達するには y軸方向には移動しない。 [1] 点(n, 0) にいて1の目が出る。) [2] 点(n-1, 0) にいて2の目が出る。 の2通りの場合があり, [1], [2]の事象は互いに排反である。4点 (n, 0), (n-1, 0)E の目(る確率はそれぞれ よって Dn+1= 6 Dnt 6 0m の Pn, pn-1 1 (2) ①から n+1+か= (Dn+ るから 4ー+から 3 6 1 Dnミー 2 =-1 1 の に 6x°-x-1=0 Dn+1- よって エロー よって Dn+1+ Dn= 3 3 2 Pn+1- 2 Dn= n ( -)とする。 3 po=1, か=ーから Dn+1+ Dn n+1 3 2 2, Dn+1- 1 n+1 3 3 (②-③)+から 5 6 D= 1 n+1 6 n+1 2 硬貨を投げて数直線上を原点から正の向きに進むn 133 ば2進むものとする 練習 Fo1 市が山れけギ1進み, の I

多くてすみません… わからないです

練成間題 次の )に入る過も適当な語(旬)をそれぞれ1っずっ選び、 記号でえなさい。 『Hgofehing ( )it is unny tomorrow。 ア though ィif ウ but (イ) L2)( )Iwas leaving home, it began to rain. ア Because ィ When ウ If (イ) 口(3) Tmust finish my homework ( イ before Igo to bed. ア until ウ while (う ) 4) Please wait here ( ア before )my mother comes back. ィ but ウ until エ that ) he is more than sixty yers old, he looks young. ア Though イ Before ウ As )Ihad no money with me, I didn't buy it. イ After ア Though *(7) I learned English ( ウ As )Iwas in London. ア during イ while ウ that 口(8) He asked me ( )Iliked sports or not. ア whether イ that ウ either エ neither [エ) L(9) Iam so busy ( )Icannot help you. ウ until ア as イ for I that (エ) 00 My sister is so young( )she cannot go there alone. ア that イ what ウ as エ why 0) Study hard so ( イ much )you may enter the college. ウ because ア エ that ) he can't read it. [エ) as 2 Tom speaks Japanese well, ( ア but イ or ウ for I because 口3 It began to rain, ( )we stopped going for a walk。 ウ because ア but イ if エ SO (エ 00 Hurry up, ( ) you won't be able to catch the train. ウ but ア and イ or [イ) 05) This bicycle isn't mine ( ) his. ア and イ but ウ for a6) Either you ( ) he has to take care of the dog. ア and イ or ウ but (7) Neither my father ( )mother is home now. ア or イ and ウ but I nor a) enter … (学校など) に入る 54 7接続調

お願いします！！

(1) (Read) in the dark room is harmful to the eyes. (2) Many foreigners love (eat) sushi. (3) My favorite sport is (climb) mountains. (4) Iam afraid of (fly) in an airplane. (5) Is (speak) English difficult?

急いでますㅠㅠ正解しているか見て欲しいです。 間違っているところは、解答を教えて頂きたいです。 1、2枚目問題 3枚目ノートに書いた解答

F練習問題 1(am, are, is の使い分け〉次の文のに, am, are, is のいずれか適する語を書きなさい。 a soccer player. 0F our English teacher. good friends. (2) Ms. Tanaka (3) Kumi andI (4) Your pencil on the desk. 2〈一般動詞の現在形〉次の文の( )内から適するものを選び,記号で答えなさい。 (1) Tom(ア play イ plays ) soccer. (2) We(ア speak イ speaks ) English in class. (3) I(ア get イ gets) up early every morning. (4) Emi and Keiko (ア go イ goes) to school by bus. 2-

ネクステ 動名詞 136の答えは④なのですが、③が間違っている理由を教えてください。

1 to drive a car 3 driving a car ② you drive a car ④ when driving a car of+9d 〈東 ) too lazy. 136 My mother complains of ( ロロロ J く北海学 OIam 2Ibeing ③ me to be ④ my being り関 ive and wor Cm

答えでは 1 ってなってるんですけど、納得できなくて、説明して頂きたいです！

2685. I will tell the professor that ( ) to finish writing the report by Friday. OIam impossiblesenn s elen ② I am unableIds tivoti ③ I will be late 頻出 の it cannot be done (学習院大) eTa

答えは③なのですがなぜ①じゃダメなのですか

]2 Iam often that I look like my elder sister. 2 難 of Masce 0 said 2 talked 3 told ④ spoken (上智短大)

答えと解説お願いします！！

Scientists **complain about noise **pollution. It damages animals, plants, and people. animals and plants need beautiful music. But they don't like big, *4terrible noises. 学習日 9) The Magic of Music 音楽の不思議な力カ 1 The history of music is very old. People all over the world have always loved it s there anyone who doesn't like music? Probably the answer is no. Music is one of the most necessary things in life. Maybe people can't live without music. Do animals and plants like music, too? Do they understand music? 5 2 Oneday Mrs. Evans read a very interesting story in the newspaper. A *1 "university professor found out that her plants became stronger when music was played for them. At first she thought thatit was a joke, but she wanted to try it 2) herself. She built two rooms in the garden and put the same kind of vegetables in both rooms. The temperature of the rooms was the same and both of them were very quiet. Music was played in one room. The other room was silent. She was 3) 10 surprised to find that the next day the vegetables that she played music for became taller than the ones in the silent room. 3 In the United States, there was a farmer who kept many cows. The farmer was very interested in music. When he stayed at home, he always listened to music on the radio. One day he took his radio to the farm. When he was *2milking his cows, 15 the radio was playing beautiful music. He found that the cows gave more milk *than 1usual on that day. He wanted to know the reason, and three months later he 4) learned that he could get more milk when the cows listened to beautiful, quiet music. 4 Today many scientists say that animals and plants also enjoy music. Like Us, 20 *4 *5 They say that we must think about many kinds of noises we are making every that We day. 1 313 words I

答えと解説お願いします！

学習日 8 The Case of the Dentist's Patient 歯科医院での患者殺人事件 1 Dr. Williams, a New York dentist, was getting ready to take an *"X-ray on the left 1)9 side of his patient, Dorothy Hoover. The door behind him opened silently and hand appeared. It was wearing a white glove and holding an *"automatic pistol. Bang! Bang!Two *°shots sounded. Miss Hoover fell over in the chair. She was 5 dead. 2 “We've got a **suspect for the shooting,"” *5Inspector Winters told his chief at his office two hours later. “The elevator boy took a nervous man up to Dr. Williams' office, a few minutes before the shooting. The boy described the man and I am sure 2) he is John Burton. He was **in prison before. This evening we found him at his 10 *7rooming house. Ive told him that I only want to ask him a few questions." 3 Burton was brought in and he angrily said, “What is all this about?” orno os s “Have you ever heard of a Dr. Williams?” asked the Inspector. uon To bal 6W “No, I haven't. Why?” replied Burton. BA (6 “"Dorothy Hoover was shot to death less than three hours ago as she sat in a chair in Dr. Williams' office," the Inspector explained. 15 “I was sleeping all afternoon," said Burton. “An elevator boy says he took a man who looked ike you a moment before the shots were heard,” the Inspector told Burton. *It wasn't me," Burton insisted. “A lot of 3) *8 guys look like me. I haven't been 20 in a dentist's office since I came out of prison. You are mistaken." We have good *"proof to send you back to “No," *°interrupted the chief, 1 265 words I prison for a very long time!" VB yer bnet

答え教えて欲しいです🙏

【2】次の日本文に合う英文になるように、( )内に適語を入れなさい。 駅へ行く道を教えてくれませんか。 )you( )me the( ) to the station?(森村学園) 私は弟よりずっと体重があります。 Iam( ) than my brother. (早実) -14-