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Mathematics Senior High

7行目の四角の部分はどこから来たんですか?

418 第8章 整数の性質 例題 239 考え方 解 *** 合同式の利用(3) 問合 su (1) すべての自然数nについて, 9" +4+1は5の倍数であることを証 明せよ. (2) すべての自然数nについて, 2n+1+32n-1 は 7の倍数であること を証明せよ. (mbom) FORT (1)9≡4(mod5) であるから, 合同式の性質 α"=6" (modm)より, 94" (mod5) がいえる. (2) 2=9(mod7) に着目し,合同式の性質を利用できるように式を変形する。 Move! 01 00 08 01 O(S) (1) 9"+4n+1=9"+4•4" 94 (mod5) であり, nは自然数であるから, 9"=4" (mod 5) 1 331 11 がいる. ① より 9 +4•4"=4"+4・4" anでくくっていbot) pposu 000S+2. ($1 bom) ==²8 33 ここで,4"+4•4"=(1+4)・4"=5・4"より,=8-88=8 (SI Bour) & 8 9"+4+4" 5.4" =0 (mod 5) 88=8+8==='8 g-g="8 (Sibara よって,すべての自然数nについて 9" +4" +1 は5の 倍数である. (2) 2+1+32n-1P とおく. (SIbom) 88 (SI born) pg 1003433+1 2n+1=22.2n-1=4.27-100m) また,32n-1=3・32n-2Fbom =3・32(n-1)=3・97-1 より, P=4・21+3・9-1 ...... ① 01 0001S0001 (med) (32)^-1 ⓘ32"-2 =9n-1 ここで,92 (mod7) より 9-12-1 (mod7) boma=b(modm) α"=6" (modm) (Orbom したがって, ①より, P=4.2" +3.2"-1 (mod7) さらに, 4・2"-' +3・2"-1=(4+3) ・2"-1) ED 7.2より P=0 (mod 7) (01bom) ep ,010,303 以上から,すべての自然数nについて 2+1+321 は7の倍数である. a-e=bid (nlodm)

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English Senior High

英語の文法についての質問です。 一枚目と二枚目の緑の蛍光ペンを引いたところなんですが合っているかどうか確認していただきたいです。 三枚目にさんこう資料を載せてあります。 お願いします🙇‍♂️

CUTTING EDGE 1-03 英語の変遷 言語に関する面白いことの1つはそれが時とともに変化していくさまである名A (1) One interesting thing about languages is the way that they change over time. In English, everything from spelling to vocabulary 熟を経験する to ①pronunciation has ②gone through major changes over centuries. In fact, to a modern speaker, the English of 1,000 years ago is like a foreign language! 熱にさかのぼる 当時、 The history of English ③dates back around 1,500 years. (2) At ヨーロッパの複数の集団がイランドeans ④inaded England, bringing their that time, groups of Europeans 副詞M 一面に侵入する。 languages with them. These ⑤gradually developed into Old English. だんだんと. Later, in_1066, England was invaded by the Normans, from France. これによってその言語に重要な変化がもたらされ、今日我々が中英語と呼ばれる (3) This caused the language [go] through an important shift, leading to 関係詞ものになった。 続く500年以上の間、その言語は what we now call Middle English. (4)Over the next 500 years, the さらなる変化を経て最終的に近代英語へと変化した。結局は 回進化する language ⑥underwent ⑦ further shifts, ⑧eventually Devolving into ~続する 脳されんだ 英語が現在に至るまで発展する間に Modern English [evolvingの用法】 (5) As the language has developed 「接続」 多くのことが変化した down to the present day, many things about it have changed. 明白な Pronunciation is one of the most obvious areas of change. For example, in Old English, people said “hus” and “mus.” Now we say 最近では、アメリカ、イギリス、オーストラリア、そして他の地域での "house" and "mouse." (6)These days, there are also many differences 英語の発音の名Aしかたにも効くの違いがある。 in the way that English is pronounced in the USA, the UK, Australia. どこかその他の所で、 and Welsewhere. When people who speak the same language live in BE AE places separated by great 12distances, the language undergoes 13rapid changes in each place. 囲急速な Spelling has also gone thorough interesting changes. For example, in Old English, people wrote "riht." A "g" was added in Middle English, making the spelling "right." Also, in the ④4 distant 18世紀および past, people did not always follow standards of spelling. (7) In the 18th 学者のような学者たちが辞書を著し、英語のつづりをより 19世紀に(アヴェブスター and 19th centuries, scholars like Noah Webster wrote dictionaries 形一貫性のあるものにした。 FRED 貫した that made English spelling more 1⑥6 consistent. But different standards were decided on in England and the USA, so some differences remain - for example, "color" vs. “colour.”

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English Senior High

英文がわからないです心の優しい方、英文の解き方を教えて欲しいです🙇‍♀️

35 15 20 signatures in business. However, no one used fingerprints in crime work until the late In ancient times, people used fingerprints to identify people. They also used them as 1880s. Three men, working in three different areas of the world, made this possible. (1) The first man who collected a large number of fingerprints was William Herschel. He worked for the British government in India. He took fingerprints when people (7) official papers. For many years, he collected the same people's fingerprints several times. He made an important discovery. Fingerprints do not change over time. At about the same time, a Scottish doctor in Japan began to study fingerprints. Henry Faulds was looking at ancient Japanese pottery* one day when he noticed small It occurred to him that the lines were 2,000-year-old fingerprints. Faulds wondered, "Are fingerprints unique to each person?" He began to take fingerprints of all his friends, co-workers, and students at his medical school. Each print was (). He also wondered, "Can you change your fingerprints?” shaved the fingerprints off his fingers with a razor to find out. Would they grow back lines on the pots. (2) He the same? They did. One day, there was a theft in Faulds's medical school. Some alcohol was missing. Faulds found fingerprints on the bottle. He compared the fingerprints to the ones in his records, and he found a match. The thief was one of his medical students. By examining fingerprints, Faulds solved the crime. Both Herschel and Faulds collected fingerprints, but there was a problem. It was very difficult to use their collections to identify a specific fingerprint. Francis Galton in England made it easier. He noticed common patterns in fingerprints. He used these to help classify fingerprints. These features, called "Galton details," made it easier for police to search through fingerprint records. The system is still in use today. When 25 police find a fingerprint, they look at the Galton details. Then they search for other fingerprints with similar features. (4) Like Faulds, Galton believed that each person had a unique fingerprint. According to Galton, the chance of two people with the same fingerprint was 1 in 64 billion. Even the fingerprints of identical twins are ( ). Fingerprints were the perfect tool to 30 identify criminals. For mo than 100 years, no one found two people with the same prints. Then, in 2004, terrorists (I) a crime in Madrid, Spain. Police in Madrid found a fingerprint. They used computers to search databases of fingerprint records all over the world. Three fingerprint experts agreed that a man on the West Coast of the United States was one of the criminals. Police arrested him, but the experts were wrong. The man was innocent. Another man was (). Amazingly, the two men who were 6,000 5 10 136 Lesson 日本大学 470 words 22 (3) 23 024 25 26

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Science Junior High

それぞれの解き方の解説を教えて欲しいです。

7 電流と回路について学習した太郎さんと次郎さんは、先生から中身が見えない 箱Aと箱Bを渡された。 次の問1~4に答えなさい。 先生 「箱A,Bには抵抗の大きさが等しい抵抗Xを取り付けています (図1)。 それぞれ箱のRに別の抵抗を差し込むと, 抵抗Xと直列または並列に接続 され, 電源装置をつなぐと電流が流れます。 電流計と電圧計を用いて,抵 抗Xの大きさと, 抵抗XとRがどのように接続されているか考えてください。」 P C 電流計 4 a R 電圧計 電源装置 図1 b f -12- 箱A(または箱B) () Q 抵抗X 40 J 18.0 箱AのRに40Ωの抵抗を差し込み, 電圧計が 5.0V を示すように電源を調整する と電流計は100mAを示した。 また, 電圧計の目盛りを変えずに箱BのRに 50Ω の抵抗を差し込むと、 電流計は0.60A を示した。 太郎 「箱Aの全体の抵抗の大きさは ( ① ) Ω で, 箱Bの全体の抵抗の大きさ は(②)Ω です。」 次郎 「箱Aに抵抗Xが直列に取り付けてあるとしたら、 抵抗Xの大きさは ( ③ ) Ω です。」 太郎 「箱Bの全体の抵抗の大きさが ( ④ )から, 箱Bは抵抗Xが直列に取り 付けてあるとは考えられません。」 先生 「なるほど, 箱Bは抵抗Xが並列に取り付けられているようですね。」 次郎 「箱A,BのRにもっといろいろな抵抗を差し込んで, 電流と電圧を測っ てみよう。」 先生 「電圧計の目盛りは5.0Vから変えないようにしましょうね。」

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