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数学 高校生

175.2 訂正後の記述に問題はないですかね??

基本例題 175 対数の大小比較 次の各組の数の大小を不等号を用いて表せ。 (1) 1.5, log3561 (2) 2, log49, log25 指針 対数の大小比較では,次の対数関数の性質を利用する。 a>1のとき 0<p<g⇔logp<logag 対 大小一致 0<a<1のとき 0<p<glogp>log.g -- 解答 せ。説明 大小反対 (不等号の向きが変わる) まず異なる底はそろえることから始める。 (1) 小数 1.5 を分数に直し、底を3とする対数で表す。 (2 を底を2とする対数で表す。 2と1049 (3) (3) logo.53, logo.52, log32, log52 p.273 基本事項 ② 件に関する箇所を比べてた。 HUTE 【CHART 対数の大小 底をそろえて 真数を比較 (3) 4数を正の数と負の数に分けてから比較する。 また, 10g2, 10gs2の比較では, 真数がともに2であるから, 底を2にそろえると考えやすい。 (2) 2210g2=10g222=10g24, 底2は1より大きく, 3 4 <5であるから (1) 1.5=2=log:3=log, 3} # (3³)²=3¹=27>5² また 底3は1より大きく35であるからな 10g33 >10g35) したがって 2 1.5 >log35 同値では10g23210g23 log4 9=- log22² ......... 1 logs2= log52= log23' 10g25 1 <3 < 5 であるから 0<log23 <log25 recept Soffol よって 0< すなわち したがって log25 log2 3 10gage 1 log.pt log23 <log24<log25 すなわち 10g9<2<log25 0.5は1より小さく, 3>2>1であるから logo.53<logo.52<0ft で,底2は1より大きく, 式しか定 次の各組の数の大小を不等号を用いて表せ。 (?) 19go.33,10go.35 YA a>1 0/p 00000 - ***** 0<log52<log32 logo.53 <logo.52<logs2<logs2で成り立つ log, y=logaxのグラフ gx y 0<a<1 log.p op. logag 1 g 底はそろえよ <A> 0, B>0ならば A>B⇒A¹>B² 底の変換公式。 a142ターのように アート 不等号の向きが変わる。 指針のy=10gaxのグラフ から, α>1のとき 0<x<1⇔10gax<0 x>1⇔10gax>0 Job 0 <a <1のとき 0<x<1⇔10gax > 0 x>1⇔10gax < 0 x Op.293 EX113 (3) logo.54, log24, log34 275 5章 31 対数関数

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数学 高校生

154. これらの問題3問は Oの位置についての記述がないですが、 Oはグラフを書いたとしたら原点に位置する場所のことを 示しているという前提の元で 写真のようにOPの大きさを求めていいのですか?

,b) 05-01 基本例題154 三角関数の合成 00000 | 次の式をrsin (0+α) の形に変形せよ。 ただし, r0 とする。 (1) √3 cos 0-sin si (2) sin 0-cos0 解答 (1) √√3 cos 0-sin0=-sin0+√√3 cos 0 P(-1, √3)とすると 指針> asin0+bcos A の変形の手順 (右の図を参照) ① 座標平面上に点P(a,b) をとる。 ② 長さ OP(=√²+62), なす角αを定める。 ③ 1つの式にまとめる。 asin0+bcos0=√a²+ b² sin(0+a) CHART asino+ b cos0の変形(合成) 点P(a,b) をとって考える よって OP=√(-1)2+(√3)=2 線分 OP がx軸の正の向きとなす角は √3 cose-sin0=-sin0+√3cos (2) P(1,-1) とすると って (3) P(2,3) とすると $154 OP=√12+(-1)2=√2 線分 OP がx軸の正の向きとなす角は =2sin(0+²) sin0-cos0=√2 sin 0- -√2 sin(0-7) 3 √13 OP=√22+32=√13 また,線分 OP がx軸の正の向きとなす角をαとすると 2 sina= √13 cos α = 2sin0+3cos0=√13sin(0+α) 3 √13 ただし, sinα= cos a= -π 2 √13 元 (3) 2 sin 0+3 cos 0 P(a, b) P √√31 p.242 基本事項 [1] -1 1 3 0 2 N √2 √3 √13 Aai 22 y4 次の式をrsin (0+α) の形に変形せよ。 ただし, r> 0, π<α とする。 (1) coso-√3sin O (3) 4sin0+7cos 0 (2) 1/12/0 1/12sinocost 0 AX x x a AR x αを具体的に表すことがで きない場合は,左のように 表す。 aar 243 4章 27 2 三角関数の合成

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数学 高校生

ガウス記号について理解が浅いのですが、写真の赤線の所はなぜマイナスがでてくるんですか?

500 第8章 整数の性質 *** 例題274 ガウス記号 (1)正の実数xを小数で表したとき,次の値をガウス記号を用いて表せ。 (ア) 小数点以下を切り上げた数(イ) 小数第1位を四捨五入した数 (2) [x+y]-[x] - [y] のとり得る値を求め 2つの実数x,yに対して, よ. 考え方 (1) (ア)は, たとえば, 小数点以下を切り上げると2になる数は, 1.1, 1.8, 2 などが当て はまり,1は当てはまらないことから、1<x≦2 を満たす x である. これを一般 の整数nについて考え,ガウス記号の定義を利用する。(イ)も同様。[] 解答(n-1<x≦n (nは整数)のとき,正の実数xの 小数部分を切り上げた数はnとなる. このとき, -n≦x<-n+1 [-x]=-n Focus (OFF(X)= よって, n=-[-x] より,求める数は, 601 -[-x] 830-1 1 (1) n-1/2/2x<n+1/12 (nは整数)のとき,正の実数 (イ) 71. -xの小数第1位を四捨五入した数はnとなる. このとき、n≦x+ +1/12/<n+1より、 =n よって求める数は1/2 Spot =(1-)!! (2) 0≦x<1,0≦β<1 とすると, x=[x]+α, y=[y]+β と表せるので __ x+y=[x]+[y]+a+ß (0≤a+B<2) (i) 0≦a+β<1のとき [x+y]=[x]+[y] (ii) 1≦a+β<2のとき -1 [x+y]=[x]+[y]+1 よって, (i), (i)より, $30 1- [x+y]-[x]-[y]=0, 1 -*=1 ガウス記号の定義を 利用できるように不 等式を整理する. caf10000 Ft ガウス記号については,まず具体的な数で実験する

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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

過去問の全15問の解説を宜しければして頂きたいです!!お願い致します。

3 3 [] [] ーロコ 2023 推薦 公募制推薦入試A・B 【適性検査】 文系学部 公募制推薦入試 A・B 文系学部 Ⅰ 次の英文の 選びなさい。 (1) This cheese is made ( a. about b. from c. one d. to b. between c. by d. of (2) Sally is very good () teaching tennis: she is one of the best coaches in the tennis school (3)( a. Economics b. Education C History d. Politics (4) English is a ( it. a. careless b. major c. partial d. regional ) is the area of study that is concerned with teaching and learning. (9) My father ( swimming instead. a. ought to b. should c. used to d. will a 内に入れるのにもっとも適当なものをa~dの中から1つ so as b so that C such as d. such that 00) Nowadays, millions of robots are used in various fields ( manufacture and the health industry b. in case goat's milk. n からできている C unless d. whether ) international language: people around the world speak 01) Daniel could not dance, but he pretended ( lessons. -1- ) play baseball when he was young. Now, he enjoys a, almost nothing b. as far as I know c. quite wrong d. what is called 12 Student A: Do you think you can use dictionaries in Ms. Benson's exam? ). I intend use this one. Student B: Yes, ( ) car -3- ) he had taken dance 推 (5) According to recent research, female elephants ( in the family. a. care b c. play d. sing (6) This airline allows their passengers ( them. a. of taking on b. take on c. taken on d. to take on 推 nurse (7) The sign says that () from here, that rock looks like a lion. a saw b. see C seeing d. seen (13) a. however b. wherever c. whichever d. whoever (8) Here are two different kinds of cake. You can choose ( want. I'll have the other. Mr. Tanaka ( a. Bye, for now. b. How do you do? c. It's been nice talking with you. d. What do you do? -21 00 A: I like Japanese culture. (15) ) two pieces of baggage with Ms. Davis: Excuse me. Are you Mr. Tanaka? I'm Annabel Davis. Nice to meet you. ) an important ) I'm glad to meet you. B:( ) I think Kabuki is wonderful. a. I am, too. b. Neither do I. c. So do L d. That's unlikely. c. one d. too Server: Would you like coffee or tea? Customer Actually, I'd like ( a both b, either ) one you ). Tea with my meal and coffee after

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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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