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English Senior High

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EXERCISES 1 Fill in the blanks. Use which/ when /where/ why/how. 1) これは両親が新婚旅行で泊まったホテルだ。 This is the hotel where my parents stayed on their honeymoon. 2) うるう年は2月が29日ある年だ。 A leap year is a year ( when February has 29 days. 3) うるう年は4年に1回しかやってこない年だ。 I A leap year is a year (which only comes around once every four years. 4) グレッグがテニス部をやめた理由は明らかではない。 artasovehari seriellgmoode maile.es The reason Greg quit the tennis team is not clear. why 5) 私はよく英語の歌を聴く。 そうやって、私は英語を勉強している。 Yometerror I often listen to English songs. That's how wo) I study English.. 2 Complete the sentences. Use when/where/why. Add a comma if necessary. 1) Last Saturday was when I moved into a new apartment.(4-2, 3) 2) Jill lied* to me. That's why lie 「うそをつく」 3) How far is the hotel from where when I'm angry at her. we are now? I left for Paris. 4) I was in Rome until last Sunday. 3 Put the words in the correct order. Use when/ where / why / how. 5) Could you wait until next week, (so busy, won't, I, be)? → when I won't be so busy 1) (we, the beach, played) was very beautiful. The beach where we played 2) Last night I had a bad dream. (I, that's, didn't, sleep) well. Last night I had a bad dream. The reason I don't eat egg 10 ode Flame ym sezoqgo orlw yatam was very beautiful. That's why I didn't sleep 3) I still remember July of 2014, (I, a week, spent) in Okinawa on my school trip. I still remember July of 2014, when I spent a week in Okinawa on my school trip. (became, we, friends, that's). 4) We met at the summer camp three years ago. We met at the summer camp three years ago. That's why we became friends. (3) 私の父が勤めている銀行は私の学校の近くにある。 The bank where my father works (▶4-1) Give It a Try A Put the Japanese sentences into English. 1) 私は教科書を何度も読んだ。 このようにして, その試験に合格した。 I read the textbook many times. That's how I passed the exam 2) 私が卵を食べない理由はアレルギーがあるからだ。 (「~にアレルギーがある」 allergic to ~) is that I'm allergic to them. ●4) 私は、兄が暮らしているロンドンに行きたいと思っている。 of bryant I want to go to London, where my Write about yourself. 1) I remember the day when we first met. why she can't 2) I want to know the reason PS swim well. is near my school. brother lives

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English Senior High

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EXERCISES TER 1 Fill in the blanks. Use prepositions. 1) The sofa I was sitting at was very comfortable. 2) There was no restaurant we could eat local food in 3) I like my new job. The people who I work 2 Put the words in the correct order. TW are all nice. 1) Listen to Ms. Misaki 2) Dan is what is called a genius. (a genius* / called / what/is) genius [] 3) This watch is exactly what I have wanted for a long time. (wanted/what/have/I) 3 Rewrite the sentences. Use who, whose, or which. (▶3) 1) Ann has a son and he has just entered college. Ann has a son, who has just entered college. 1) I went to see the doctor and she told me to stay in bed for a few days. I went to see the doctor, who told me to say in bed for a few days. 2) Yuki showed us her kitchen and she was very proud of it. Yuki showed us her kitchen, who was very proud of it. 4) The boy said that he had seen a ghost but it was a lie*. The boy said that he had seen a ghost, which was a lie but 4 Put the words in the correct order. 1) 彼は頭がよくて親切だ。さらにそのうえ、ユーモアもある。 (what, more, and, is). He's smart and kind, and what is more what is saying carefully. (Ms. Sasaki/what/is/saying) 3) Naoki has lots of great video games and his father works at a video game company. Naoki, whose father works at a video game company has lots of great video games. lie 「うそ」 2) インターネットが世界を今の世界にした。 (is, the world, it, what) The Internet has made the world what Give it a Try Put the Japanese sentences into English. Use who, which, or what. 1) 今日君ができることを明日まで延ばしてはいけない。 Don't put off till tomorrow what you can do today 2) 今のメグは、私が初めて出会ったころの彼女とはずいぶん違う。 Meg is now quite different from 3) あなたが探していたカギは見つかりましたか。 Write about yourself. it is 3) 新しい土地に引っ越すときは、 だれか頼れる人が必要だ。 (can, on, you, someone, depend) When you move to a new place, you need someone you can depend on (1-4) 1) What I want for my birthday is took care 2) (2) he also has a sense of humor. which you were white new of the dog Have you found 4) 先生は私に1冊の本を貸してくれたが,私にはそれは難しかった。 The teacher lent me a book, but which was difficult for me.. bag. looking for now. (put off ~) when I first met her. ? which surprised me. 59

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Mathematics Senior High

210. ここでのf'(x)=0が異なる3つの実数解をもたない というのは2つもつor1つもつor1つももたない のいずれかである、ということですよね?? また「f'(x)=0の実数解の前後で」とはどういう意味ですか? 記述で書かなくてもいいですか?? [1]は重解また... Read More

00000 重要 例題 2104次関数が極大値をもたない条件 関数f(x)=x-8x3+18kx2 が極大値をもたないとき,定数kの値の範囲を求め よ。 指針 4次関数f(x)がx=pで極大値をもつ 解答 x=の前後で3次関数f'(x) の符号が正から負に変わる であるから,f'(x) の符号が「正から負に変わらない」条件を考 える。3次関数 f'(x) のグラフとx軸の上下関係をイメージす るとよい。なお,解答の右横の図はy=x(x2-6x+9k) のグラフである。 ƒ'(x)=4x³—24x²+36kx=4x(x² − 6x+9k) f(x) が極大値をもたないための条件は、 f'(x)=0 の実数解の ① 前後で f'(x) の符号が正から負に変わらないことである。 このことは,f'(x)のxの係数は正であるから, 3次方程式 f(x)=0 が異なる3つの実数解をもたないことと同じである。 f'(x)=0 とすると x = 0 または x2-6x+9k=0 よって k≧1 [2]x2-6x+9k=0にx=0を代入すると したがって k=0,k≧1 [2]x=0を解にもつ 1-k≤0 ① 上部ろく[福島 よって、求める条件は, x2-6x+9k=0が [1] 重解または虚数解をもつ [1] x2-6x+9k=0の判別式をDとすると D≦08-01- D=(-3)²-9k=9(1-k) であるから 144864 Alba-0)-0 k=0 383 k²1 YA k> 重解ともう1つの実数 x f'(x) + 極大) f(x) 基本203,207 De=(no 75 k=0 3 [参考 [ 4 次関数の極値とグラフ]一般に, 4 次関数f(x) [4 次の係数は正] に対し, 206307878 は3次方程式で, 少なくとも1つの実数解をもつ。 その実数解をαとし、他の2つの解が実 -AVS-84- ( f(x)=0 数であれば B, γとする。 この解は次の4つの場合がある (4次の係数が負のときは、図の上下が 逆になり,極大と極小が入れ替わる)。 異なる3実数解 ② とする) gra, b p /k=1 0 1313/07 " € 01

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