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English Senior High

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14 Lesson 3 基本時制,進行形 5 (進行形にできない動詞) 次の英文の下線部が正しければO, 正しくなければ×を書け。 (メ) (1) He is knowing her father. (2) What was he doing when you looked at him ? (3) This house is belonging to my uncle. (4) We are having a good time in Hawaii. (5) Tom is resembling his father very much. X) (6) I am thinking he will come to our party. )内の語(旬)にかえて,全文を書きかえよ。 6 (総合問題の] 次の文の下線部を( (1) Her train will arrive soon. (a few minutes ago) (2) Our parents came back from London last week. (next week) (3) What was he doing at that time ?(now) (4) We were waiting for our new teacher at eight yesterday.(tomorrow) (5) Did you stay at home last Sunday ? (next Sunday) (6) Is your mother out now? - No. She is cooking dinner.(then) 7 [総合問題2] 次の対話文を完成させよ。 (1) Where( ) meet ? Let's meet in front of the library. ) the concert( ) start at six? Yes, it is. We don't ( ) much time left. Let's hurry. (3) Excuse me, but will you tell me the time of his departure ? 文 Yes, sure. His plane is ( ) for Hong Kong at 3 : 00 p.m. ) have a glass of wine ? -Yes, thank you. I like wine very much. (5) You need some fresh air..( ) open the windows ? Yes, please. (6) He( ) diligent when he was young, ( I think so. But I don't know about his later life. ) he ? (7) Will John call me when he ( ) for Australia ? ) call you from the airport. odA He says he (

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Mathematics Senior High

この問題の(2)なんですけど、なぜ判別式D>0は必要ないのですか? 例えば、「異符号の解を持つような定数Pを求めよ」だったらαβ<0でもう判別式は0より大きい事は示せてると言うのは分かります。(b²-4acのcが負のため)このようなしっかりした理屈はあるのでしょうか?

「基本例題50 2次方程式の解の存在範囲 OOOO0 2次方程式 x-2px+p+2=0 が次の条件を満たす解をもつように,定数pの値 の範囲を定めよ。 (1) 2つの解がともに1より大きい。 (2) 1つの解は3より大きく,他の解は3より小さい。 p.81 基本事項2 指針>2次方程式x*-2px+p+2=0の2つの解を α, Bとする。 (1) 2つの解がともに1より大きい。→α-1>0 かつ β-1>0 (2) 1つの解は3より大きく, 他の解は3より小さい。→α-3とB-3 が異符号 以上のように考えると, 例題 49 と同じようにして解くことができる。なお, グラフを利用 する解法(p.81 の解説)もある。これについては,解答副文の別解参照。 2章 |解答 2次方程式x-2px+p+2=0 の2つの解を α, Bとし, 判別式 をDとする。 2-(-かー(p+2)=がーカー2=(カ+1)(ー2) 別解 2次関数 f(x)=x°-2px+p+2の グラフを利用する。 D 解と係数の関係から 1) 21.8>1であるための条件は 一つaβがラじ可軸について x=p>1, Dり かつ (α-1)+(8-1)>0 かつ (α-1)(8-1)>d" D20から α+B=2p, aB=p+2 f(1)=3-p>0 っから 2<か<3 (p+1)(p-2)20 *ーp y=f(x) pS-1, 2Sp (α-1)+(8-1)>0 すなわち α+B-2>0 から 2カー2>0 よって の 3- ap よって p>1 0 1 『B (α-1)(B-1)>0すなわち aB-(α+B)+1>0 から p+2-2か+1>0 よって かく3 3 (2) f(3)=11-5p<0から 求めるかの値の範囲は, ①, ②, 3の共通範囲をとって -1 123 p p> 2Sp<3 2) α<Bとすると, α<3<Bであるための条件は (α-3)(B-3)<0 4題意から,α=βはありえ ない。 すなわち aB-3(α+B)+9<0 ゆえに p+2-3-2か+9<0 11 か> 5 よって 2次方程式x-2(a-4)x+2a=0が次の条件を満たす解をもつように,定数aの 50 値の範囲を定めよ。 (1) 2つの解がともに2より大きい。 (2) 2つの解がともに2より小さい。 (3) 1つの解が4より大きく, 他の解は4より小さい。 練習 (p.85 EX34 9 解と係数の関係、解の存在範囲

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English Junior High

①〜⑤の動詞を適切な形に変えなさい。

Unit 5長文問題I Do you ever~) ~することがあ、 か? fall asleep 眠り are scolded とられ。 take naps 仮眠する。 afterward その後 following 次の catching a few 2's うとうとすること 11 Do you ever fall asleep during class? What happens? Perhaps, take naps? How do vou feel afterward? You will be happy o(read) ne following information. Many scientists now say that catching a few z's can improve your performance. (1)You must be so happy to hear this, so let's continue. you are scolded by vour teacher. How about at home? Do you ever Actually, this is important news for (2)people who have jobs that require high levels of concentration. Can you think of such jobs? 2 require ~を必要とれ concentration 集中 surgeon 外科医 on the night shift 夜勤で air traffic controlle 空(交通)管制官 focus on ~ ~に集中け lack of ~の不足 result in ~をもたら get together 協力す experiment 実験する surgeons, hospital staff 。(work) on the night shift, and air traffic controllers are just a few. These people must focus on their Jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. In the United States, a group of scientists got together and experimented on (A)two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked 3 in a row 続けて (do) the same, but they took a short nap after three hours. Results got from these experiments were simple and clear. by now そろそろ Which group had better results? By now, you should know. The second group had much better results. The first group could remember about 45% of the information, but the second group got The scientists decided o(repeat) the close to 70% correct. experiment several times on different people, but the results were always the same. Taking short naps improved people's memories. Sleeping can help improve our performance, but the best way to deal with ® (become) sleepy during the day is to get enough sleep the night before. You may like to sleep in class, but I havea piece of advice for you. Get plenty of sleep the night before. Getting 4 deal with ~ ~に対処する plenty of たくさ enough sleep will give you lots of energy to spend at school. (4) You need energy to learn and play. Lots of learning and playing will give you a good night's sleep.

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