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数学 高校生

画像2,3枚目の〜❓マークの3点が理解できませんでした。 なぜそうなるのかを教えてほしいです。

第2問 必答問題) (配点 15 k,nを自然数とし,kについての条件Aを次のように定める。 条件A: k" が (n+1)桁の数となる。 (2)以下の問題では,必要ならば次の値を用いてもよい。 log102=0.3010.log103= 0.4771, log 107=0.8451, logio 11=1.0414 花子さんと太郎さんは, 続いて次の課題2 について話している。 0 課題2 条件Aを満たすんの個数が1となるようなnの最小値を求めよ。 よ (1)太郎さんと花子さんは、次の課題1 について話している。 課題 1 条件Aを満たすkの個数が、xの値によってどのように変わるかを考察 せよ。 太郎:いきなり”で考えることは難しそうだね。 n=1の場合から具体的 に考えてみよう。 花子: n=1のときは,条件Aは 「kが2桁の数となる。」つまり 10≦k < 10°と表せるね。 このようなkは全部でアイ個あるよ。 99-9=90 n=2のときはどうなるかな。 花子: どのようなnに対してもk=10は条件Aを必ず満たすことはわ かっているよ。 太郎: そうか。 条件Aを満たすの個数が1となるときは,k=10のみと わかるね。 花子 (10-1)", (10+1) (n+1) 桁になるかどうかに注目してみよう。 (10-1)" は (10+1)" は blog (10-1) == Welogioco - (ogrol) =n-logol 条件Aを満たすkの個数が1となるためのnの必要十分条件は, キが (n+2) 桁以上になることである。 J: 0125 0 あることがわかるよ。 花子:n=3のときも同じように計算していくとnを大きくしていく と、条件を満たすの個数は減っていく気がするね。 n をどんど ん大きくしていくと, 条件Aを満たすんの個数が0となるのか な? 56.78.9 太郎: n=2のときは,条件Aは 「kが3桁の数となる。」 だから, 10°k < 10°を満たす自然数を数えればいいね。 10=3.16... であることを用いると,この不等式を満たすには全部で ウェ 個 10≦k10010 31-9=22 10k<31.6... 以上より, 条件Aを満たすんの個数が1となるとき,n クケであり, 求めるnの最小値はクケであることがわかる。 の解答群 ⑩どのようなnに対しても (n+1) 桁にならない実 は ①nの値によって, (n+1) 桁になるときとならないときのどちらもある 70-4300 キ の解答群 太郎:10” は (n+1) 桁だから,k=10のときは,条件Aを必ず満たすよ。 ⑩ (10-1)" ① 10+1)" だから,条件Aを満たすんの個数が0とはならないね。 (3) 条件Aを満たすの個数が2となるようなnは全部で コサ個ある。 (数学Ⅱ,数学B,数学C第2問は次ページに続く。) -9- - 8 コロ

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英語 高校生

教えて下さると嬉しいです( •̥-•̥ )

A. Circle the correct answer for each question. likely to be jealous of someone. 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people more accustomed to? a. rich a. a feast b. a tree a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it 6. What would profit do for a business? a. excited b. confused 7. Which would people rather be? a. a contract b. a feast 8. Which would you invite friends to share with you? a. a recruit b. a contract 9. Which would you sign? a. being punished b. getting a reward 10. Which would few people enjoy? B. Complete the paragraph with items from the box. Two items are extra. Which of these is a weapon? 4. 5. Which of these flows? discovered resembled establishing rights faced status by Roy's s grief the rest of Many people change countries during their life, but one man has (1) (2) son and (10) heir took over This surprised people in the UK, who believed they had the (5) . Bates and (6) to leave the platform. However, Roy (8). in the sea to contain (3) that would be used to fight off invaders. After the war, the soldiers left these platforms and they were forgotten - until 1967. In that year, a British man, Roy Bates, one of the platforms and announced he had started his own country, (4) called Sealand. b. poor himself by his own country. During World War II, the UK built a number of artificial platforms made a name for weapons the people on the island (his family), (7) In 1968, a court decided that the UK had no power over Sealand. Just like other places with the that the platform was in international waters. to the platform. orders of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. 11 15 69

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英語 高校生

教えて下さると嬉しいです(><)

Circle the correct answer for each question. A. likely to be jealous of someone 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people more accustomed to? 4. Which of these is a weapon? 5. Which of these flows? a. rich b. poor a. a feast b. a tree a. spending money b. receiving awards b. a rifle b. water b. ruin it b. confused b. a feast b. a contract a. a recruit a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 6. What would profit do for a business? 7. Which would people rather be? 8. Which would you invite friends to share with you? 9. Which would you sign? 10. Which would few people enjoy? discovered resembled establishing rights faced status a. an empire a. an insect a. help it a. excited a. a contract grief the rest of (9) by Roy's son and (10) heir took over Many people change countries during their life, but one man has (1) (2) himself by his own country. During World War II, the UK built a number of artificial platforms in the sea to contain (3) that would be used to fight off invaders. After the war, the soldiers left these platforms and they were forgotten - until 1967. In that year, a British man, Roy Bates, (4) one of the platforms and announced he had started his own country, called Sealand. This surprised people in the UK, who believed they had the (5) - Bates and (6) to leave the platform. However, Roy (8). made a name for weapons to the platform. orders In 1968, a court decided that the UK had no power over Sealand. Just like other places with the that the platform was in international waters. of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. the people on the island (his family), (7) in 11 - 15 69

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英語 高校生

教えて下さると嬉しいです(><)(><)

A. Circle the correct answer for each question. likely to be jealous of someone 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people more accustomed to? a. rich a. a feast b. a tree a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it a. excited b. confused a. a contract b. a feast a. a recruit b. a contract a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 4. Which of these is a weapon? 5. Which of these flows? 6. What would profit do for a business? 7. Which would people rather be? 8. Which would you invite friends to share with you? 9. Which would you sign? 10. Which would few people enjoy? discovered resembled establishing rights called Sealand. faced status - Many people change countries during their life, but one man has (1) (2). This surprised people in the Bates and (6) to leave the platform. However, Roy (8). (9) by Roy's son and (10) grief the rest of heir took over in the sea to contain (3) that would be used to fight off invaders. After the war, the soldiers left these platforms and they were forgotten - until 1967. In that year, a British man, Roy Bates, one of the platforms and announced he had started his own country, b. poor himself by his own country. During World War II, the UK built a number of artificial platforms made a name for weapons who believed they had the (5) the people on the island (his family), (7) to the platform. orders In 1968, a court decided that the UK had no power over Sealand. Just like other places with the that the platform was in international waters. of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. in 11-15

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英語 高校生

教えて下さると嬉しいです。。涙

Circle the correct answer for each question. A. likely to be jealous of someone 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people a. rich a. a feast a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it a. excited b. confused a. a contract b. a feast a. a recruit b. a contract a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 4. Which of these is a weapon? 5. Which of these flows? more accustomed to? 6. What would profit do for a business? 7. Which would people rather be? 8. Which would 9. Which would you sign? 10. Which would few people enjoy? discovered resembled you invite friends to share with you? called Sealand. establishing rights faced status grief the rest of Many people change countries during their life, but one man has (1) (2) heir took over (9) by Roy's son and (10) This surprised people in the UK, who believed they had the (5) . Bates and (6) to leave the platform. However, Roy (8) - b. poor in the sea to contain (3) that would be used to fight off invaders. After the war, the soldiers left these platforms and they were forgotten - until 1967. In that year, a British man, Roy Bates, one of the platforms and announced he had started his own country, b. a tree himself by his own country. During World War II, the UK built a number of artificial platforms the people on the island (his family), (7) - - made a name for weapons to the platform. orders In 1968, a court decided that the UK had no power over Sealand. Just like other places with the that the platform was in international waters. of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. im 11 - 15

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