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数学 高校生

(1)の類題で、この問題は違いますが、「取り出した順にa1,a2…とする。」のような問題がよくあるじゃないですか。その場合、答えは、写真のように「大きい(または小さい)順にa1,a2…と考える」と同じように解くと思います。 それってなんで成り立つんですか?わかるような説明が... 続きを読む

重要 例題 35 次の条件を満たす整数の組 (Q1. 2, 3, 4, (1) 1sa, Sa, Sassa, sa, ≤4 0000 425) の個数を求めよ。 atatastastas, al, a≧0 (i=2,3,4,5) 指針 (1) 1.2.3.4の4個の数字から重複を許して5個を選び、小さい数から順に 解答 (2)条件が (1) と似ているから, (1) が利用できないかどうかを考える。 ・・・・・・αs を対応させればよい。 →求める個数は、重複組合せに一致する。 (1)(2)の問題 (1) は(2)のヒント b=a, b2=a1+az, ba=a,+a2+a3, ba=as+aztastas.bs=astastastat とおくと 1≤bbbb₁≤b,≤4 (1)の条件と同じ! (by, bz, b3, 64, bs) が決まれば, 直ちに (a, az, d3, 4, as) も決まる。 (1) 条件を満たす整数の組 (α1, a2, 3, 4, α5) の個数は, 1234の4個の数字から重複を許して5個取る組合せの 5 つのと3つの 数であるから Hs=4+6-1Cs=8C5=8C3=56 (個) (2) by=ax, b2=a1+az, b3=a1+a2+a3, ba=a1+a2+astas, bs=a1+a2+as+α+αs とおくと 1≤bib₂b3b4b5≤4 よって、この不等式を満たす整数の組 (b1, 62, 63, 64, bs) の個数は, (1) から 56個 ここで (b1, bz, 63, 64, bs) の1つの組に対して (a,a2, 3, a, α5) の組はただ1つに決まる。 したがって, 求める組の個数は 56個 別解 α-1=A, A+az+a+α+α5=S とおく。 求める個数は, S= 0, 1, 2, 3 をそれぞれ満たす 0 以上の整 数の組 (A,a2, a3, 4, α5) の総数に等しい。 を1列に並べる に一致する。 例え 00101100 123 は, a=1,=1 α=4,as=4を 例えば、 (bl. bz, b =(1.1.2.4 であるとき (as, az as =(1.0.1.2 S=3のとき,異なる5種類のものから、重複を許して3個取 前ページの基 る組合せの数を求めて 5H3=5+3-1C3=7C3=35 (個) 参照。 S=2のとき, 同様に考えて 5H2=5+2-1C2=6C2=15(個) S=1のとき5個, S=0のとき1個。 以上から 練習 (4) 56個 <35+15+5+ 数123を重複を許してn個並べてできる数の組 (41,42, 35 (1) 条件 a≦a≦ Man = j を満たす組が Am (j) 通りあるとする。 j=1,2,3とする。 An (2) Am(3) を求めよ。 (2)n≧2のとき、次の条件を満たす数の組は何通りあるか。 amaz...... Man- かつ an-1>an

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英語 高校生

答えあっていますでしょうか🥲🥲

19764975 17. It will not be long (___) she can have the transplant surgery. 1 when 2 time 3 after It will not be long before SV 4 before ④till~するまで 18. The old man watched the ship (become smaller and smaller) ☐ 19. ( 1 because guon 2 unless 3 after <兵庫医科大〉 ) it was seen no more. 〈獨協大〉 ) my son enters elementary school, he should be able to say the English alphabet. ①Before long ②By the time ③While 4 Until 11(t) 20. He had no sooner arrived at home (min) it started to rain. S had no sooner done 1 as □ 21. ( ①Fairly 2 for 3 when than 101 ... than did ・・・したらすぐに~し(札幌) ~ ) had the meeting started when an earthquake shook the building. Hardly had s done 3 Immediately Rarely 倒置形 <明治大) 2 Hardly ? 22. ( ) begun considering the solution when an 報が入ってきた came in. Hea ~したらすぐにした 2 Before the men had 4 Soon had the men 1 As soon as the men had ~~したらすぐに 3 Scarcely had the men 人間は彼らが生き残るために必要なものを生産しはじめるとすぐに 〈日本大〉 23.( human beings started to produce what they needed to survive) they set themselves ① As soon as ~するとすぐに (大) apart from animals. eogebroe 2 The reason why 4 As it is * 3 No more than 24. I knew something was wrong with the engine ( although 2 even if 3 however ) I tried to start the car. 〈関西外国語大〉 12 the moment ~するとすぐ(近畿大> ⑨the

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TOEIC・英語 大学生・専門学校生・社会人

動詞の使い分けがわからないです😭

EXERCISE 20➤Looking at grammar. (Chart 5-6) Choose the correct completions. 1. The United States has have a population of around 325 million. an established and respected newspaper. a branch of mathematics. (2.) The New York Times: C:C/DC Caree 3. Statistics is/are 4. The statistics in that report on oil production :C:MKEKECRETKEY) incorrect.* 5. Fifty minutes is are the maximum length of time for the test. 6. Rabies (is) are an infectious and often fatal disease. The blind wants / want us to treat them the same way we treat everyone else. talking with people 8. French is are somewhat similar to Spanish, isn't it / aren't they? The French is are proud, independent people. 10. Does/Do the police have training in mental health issues? 1. Thirty dollars is an unreasonable price for that T-shirt. 12. Four hours of skiing provides / provide plenty of exercise. EXERCISE 21 ▸ Game. are (Chart 5-6) Work in teams. Choose the correct words (or numbers). Then complete the sentences with is or are. 1. The Scots /The Irish The English and Cambridge. 2. Statistics/Linguistics / Physics 3. Diabetes/Measles / Mumps 4. English / French / Afrikaans 5. People from Canada. called are famous for educational institutions like Oxford the study of the structure and nature of language. a blood-sugar illness. the official language of Namibia. Canadas/Canadians / Canadese. covered by water, but drinkable. 6. Approximately 60% / 70% / 80% of the earth only 1% / 10% / 20% of the earth's water 7. 312 x .5+ 100 227/275/256. 8. The United Arab Emirates/The Netherlands/The Philippines Hemisphere (i.e., north of the equator). in the Northern 9. Fish/Whales / Cattle not mammals. 10. Five hundred thousand + five hundred thousand ten hundred / one million / one billion. 11. Macy's/Harrods / Hudson's Bay a department store that began in London. *Statistics is singular when it refers to a field of study (e.g., Statistics is an interesting field of study.). When it refers to particular numbers, it is used as a count noun: singular one statistic (no final -s); plural = two statistics. For example, This

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英語 高校生

カッコで囲んだとこの英文の1つ目のandからの訳がどうして2枚目のようになるのか教えてください。 2枚目のどんな疑問が重要か〜の次のとこからです

ample practices varied across time and place. The truth is that we about what preliterate societies knew or believed. But they left behind *. evidence of their attention to the movements of the Sun and the phases of the Moon. And we can be sure that whatever questions they asked of the heavens were very different from those that motivate space exploration today. (A) rotic othe In reality, the difference between ancient and modern knowledge systems is more qualitative than quantitative; it is not about how much is known, but about what questions are important and about the acceptable ways of asking and answering those questions. And while we may not easily be able to slip between our modern worldview and those of others, we can nonetheless attempt to do so by asking not what ancient people knew about the world, but what their questions were when they looked at it. If we do this in the case of Mars, examining a few of the earliest known examples from around the world, we can see how sky knowledge was considered important to the functioning of the state whether it was *astrological knowledge in the service of good governance, or knowledge of bloodlines and relationships with the gods and other sky entities, which was used (B) - verdd

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