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English Junior High

英検の過去問なんですが、答えが見つからない ので答えを教えてほしいです

(2) (1) A: Mom, I met a ( B: That's great. 1 famous (5) (6) 1 (18) Grade 4 (8) 2 次の (1) から (15) まで ( に入れるのに最も適切なものを 1,2,3,4の中から一つ選び、その番号のマーク欄をぬりつぶしなさい。 (3) A: When did the Sylvia Hotel open? B: In 1913. It's over a hundred years ( 1 many 2 quiet (4) A: Everyone is here, so we can ( B: OK. 1 visit Mary ( 1 misses day. (7) A: Your ( Ted made some friends at his new school, so he was ( thin 1 2 slow 3 glad Peter became a ( 1 member B: Thank you. 1 question Grade 4 2 next ) soccer player on the train today. 2 start 3 hard 2 bench ) to get a bird for her birthday. 2 picks 3 hopes 1 That's my dream. 3 I'll watch you. 1 Have fun. 3 Not yet. 3 tall 1 Did you make them? 3 Is it finished? Daughter: I will. 1 I'm hungry. 3 stay at home. 3 carry ) of the swimming club. ) is so beautiful! I love seeing the flowers in spring. 2 holiday 3 sound 2 ) the movie now. 3 salad 3 moved (17) Father: How was your band practice today? Son: ( ) We learned a new song. 1 I have a ticket. 3 You're right. I ( ) a bad cold today, so I couldn't have lunch with my grandmother. I was really sad. 1 kept 2 had Mother: Would you like a cupcake? Daughter: Yes, please. ( ) Mother: No, they were on sale at the supermarket. 4 thick (19) Girl: Thanks for studying with me today. Boy: ( ) I enjoyed it. 次の (16) から (20) までの会話について ( に入れるのに最も 適切なものを 1,2,3,4の中から一つ選び、その番号のマーク欄をぬりつ ぶしなさい。 (16) Girl: I love playing the piano. Boy: Do you want to be a professional pianist in the future? Girl: Yes. ( ) 4 old lazy 4 drop 2 After math. 4 No problem. (20) Daughter: Dad, shall I cut the vegetables for the salad? Father: Yes, please, but ( 4 follows He swims every 2 It's my guitar. 4 You can have one. 2 it's a fruit. 4 be careful. 4 towel 4 garden 2 It was fun. 4 It was on the radio. 4 rode 2 Will they be ready? 4 Are you late? (9) (12) Grade 4 (13) A: What can you cook? B: I like to make food from different countries. ( Italian food and Chinese food. 1 For 2 To (10) A: Did you meet the new English teacher? B: Yes, he comes ( 1 until 2 (11) A: What ( (14) 3 ) of dog do you want? B: I want a big dog because I love to go on long walks. 1 room 2 wind 3 kind (22) (15) A: Excuse me. ( B: That one is $10. 1 Where (23) After school, Chris enjoys ( listen to her funny stories. 1 talking 2 opening (24) 4級 354. 34 $18,73 Today, it will snow much ( and I will make a big snowman. 1 harder 2 hard (25) (21) 新しいくつを買ってはどうですか。 1 arplad I love riding my bike to the park, but my sister ( likes to stay at home. 1 haven't 2 doesn't Brush breakfast. 1 ) South Africa. He loves rugby. along 3 This is 10 みが 朝食を食べたら歯を磨きなさい。 (after 2 your 3 you 2番目 1 2 Why (4) 2 ( you buy 3 why 4 new shoes 2番目 4番目 1 2 5 My brother tomorrow. ) much is this T-shirt? 3 2 3 As スープをもっともらえますか。 have ( soup can 2 2 Grade 4 LI 856 次の (21) から (25) までの日本文の意味を表すように ①から⑤までを並べ の中に入れなさい。 そして、2番目と4番目にくるものの かえて 最も適切な組合せを1,2,3,4の中から一つ選び、その番号のマークを ぬりつぶしなさい。 ※ただし, ( の中では、夏のはじめにくる語も 小文字になっています。 2番目 2 over W 4 from 2番目 3 holding BEL はじ これは私の初めてのシンガポール旅行です。 (Singapore 2 my first 4 to ) with his teacher. 3 don't 2② 3 hardest 3 When ) than yesterday. 3 4 eat 5 teeth) 3 4 In 4 3 4 side ) example, (3) some more 3 (5 3 4 asking 5 trip) 5 don't) He likes to 4 isn't (4) (write 2 to 3 by 4 has 5 a report) 2番目 2 4番目 わたし あに あす 私の兄は明日までに, レポートを書かなければいけません。 4 too hard ). 4 How (51) My brother She 4 4番目 ⑤5⑤ - (3) (3) please? 4 3-0

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Mathematics Senior High

指針からよく分かりません。なぜS2nとS2n-1の極限を調べれば答えが出てくるのか分かりません。SnとしてもSn=2/3-(2n+2)/(2n+3)になるのでは?

補 無限級数の種々の問題 発展問題 例題20 次の無限級数の収束、発散について調べ, 収束する場合は,その和を 求めよ。 指針 Gar ゆえに・ 2 4 3 注意 lim d2n-1=lim n=1n 2 3 したがって, 無限級数は 2n new 2n+1 この無限級数の部分和Snを1つの式で表すことは難しい。 ここでは,まずS2, S2 の極限をそれぞれ調べる。 ともに同じ値αに収束するなら和はα, それ以外な ら発散である。 T a+b+ax+b2+......+an+b+....…を機械的に(a1+a2+......)+(5+62+……...) としてはいけない。 第n項までの部分和をSとする。 2 4 6 6 S2 = 1²/31 - 01/14 + 1/13 - 09/10 +0 09/10 S2n= 5 5 7 7 5 を示せ。 S2n-1=S2n-(-2n+2) = ²/3 2 2 lim S2n=lim -lim (²2-22+3)=-1 n→∞ 2n lim S2n-1 n→∞ 3- 5 7 + 2 + 5 5 - -=1 となり, -1 は0に収束しないから α も0に 1 n 収束しない。したがって, 与えられた無限級数は発散する。 3 4 6 6 8 + 7 7 -=lim n→∞ 1 4 + 9 225 次の無限級数の収束 発散について調べ, 収束する場合は、その和を求めよ。 (1) 1+1/+1/+1 2 3 + + 3 発散する。 答 2 1 2+ ·+... 1 8 9 4 +......+ +......+ 第1節 数列の極限 59・ 1 3n-1 2n 2n+2 2n+1 2n+3 2n 2n+1- 2n+3=/1/2-2n+3 + 2n+1 n 1 2" ·+· 2n+3 n+1 ****** は正の無限大に発散する。 このことを用いて, 2 00 1 +..... が発散すること

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English Senior High

これといてください。至急です お願いします 英語分かるかた

2010 解答用紙を6/1(木)に提出 解説は英語でします。 【1】 次の英文を読んで、後の設問に答えよ。 (配点 50) A few years ago, a certain famous university in Japan asked a unique question as its entrance examination in English. The question was this: Write a reply in English to a junior high school student who doesn't like studying. He says he has no intention of going abroad, so he doesn't think he needs to study English. Nor does he want to get a job in which the knowledge of math or science is required. He, therefore, insists that he cannot understand the reason he is forced every day to study subjects he is not interested in. As an entrance examination, it's not very difficult to write an answer to this question. (2) you take it seriously, however, it touches on such a profound aspect of human nature that it is worth thinking about. Fundamentally, why do you have to study? What is learning for? Would you still like to study even if there were no schools or examinations in the world? In my opinion, it is possible to answer such questions from a practical and essential point of view. First, it is not rare for anyone to find changes in their own preferences or desires over time. Sometimes we find ourselves possessing no interest in what we thought to be precious before. Sometimes we are surprised to realize that what we thought to be of little value is so important. So it is quite hard, especially for young people, to predict actually what one will want in the future, say, ten years from now. That's why it is highly desirable for students to prepare for their future by increasing their knowledge and improving their intelligence. Whatever job one may get, it is quite (4) that knowledge or intelligence gets in the way. This can be demonstrated partly by many adults confessing that they should have studied harder. ( 5 ), it's only while one is young that one has a good memory and can absorb and retain a vivid impression of what one has learned. Next, I would like to talk about a more subtle viewpoint. Essentially, no human beings can be satisfied with what they already have, and everyone has, at 1921 the bottom of their heart, the desire for a better existence. Please do not interpret (67 INT this only in terms of materialism or religious belief. Of course, food, clothing. and housing are important. Still, ( 7 ). Also, in the present age, it is difficulí to feel there is anything in the belief that God will come to help you have a better existence some day. Even if all of your basic needs are met, without one important thing, you cannot feel that your life is meaningful. This one thing is the ambition to improve yourself. When you learn something you didn't know before, you will surely feel the satisfaction that no other element in life can give. In this sense, learning will enable you to broaden your world, giving you the joy of knowing. In short, learning is an important way to make your own life richer. (A) 下線 (1) (3) を和訳せよ。 (B) 空所 (2) ( 5 )に入れるのに最も適切なものを、それぞれ次のア~エ の中から1つずつ選び、 その記号を記せ。 (2) 7 Because If (5) 7 For example In conclusion Though In addition What is worse (C) 空所 (4) に入れるのに最も適切な 同じ段落の中から抜き出して、 解答欄に記入せよ。 下線部)が表す内容を、 本文に即して70字以内の日本語で説明せよ。 1931 1. Unless

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Mathematics Senior High

3番の問題は和の公式を使わなければ場合分けはしなくて良いのですか?

(2) 初項が2,公比が 3, 和が242である等比数列の項数を求めよ。 (1) 公比が3,初項から第6項までの和が728 の等比数列の初項を求めよ。 和をSとすると, S3 = 3, S6=27 であった。 このときa, rの値を求めよ。 [(3) 大阪工大] p.365 基本事項 3 基本11 (3) 初項a,公比rがともに実数の等比数列について,初項から第n項までの CHART & SOLUTION 等比数列の決定 まず初項 αと公比r (3) の値が与えられていないので, 和の公式を使うとき,r=1 と r≠1 に分けて考える (1),(2),(3) 和が与えられた問題では, 項数nについても考える。 必要がある。 開 (1) 初項をaとすると,条件から よって, α(1-729)=4・728 から r≠1のとき, S3=3 から a{1-(−3)} 1-(-3)。 (2) 項数をnとすると,条件から ゆえに 3-1=242 したがって, 項数は n=5 (3) r=1のとき S3=3a, S6=6a 3a=3,6a=27 を同時に満たすαは存在しないから不適。 3101534 PRACT LEDS a=-4 2(3-1) 3-1 a = すなわち a(r³--1) r-1 -=728 -=242 =3 .P¶ "(x + a(rº_1)__LA また, S6=27 から = 27 19 7-1-17 E r°−1=(r3)2−1=(n-1)(n+1) であるから、②より 3"=35 „§ (= a(r³−1).(√³+1)=27 r-1 これに ① を代入すると 3 (3+1)=27で解くと、 よって r3=8 rは実数であるから 3 r=2, ① から 7 ...... (1) 公比 - 3 項数 n=6の等比数列の和が 728 である。 Sn=a(²-1) r-1 ← 243 = 35 等比数列の和の公式を 使うときは,まず,公比 rが1であるかどうか を調べる。 St. a(³-1) r-1 369 の 17a=3 -·(³+1)=27 に3を代入。

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