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英語 中学生

(4)の問題です! 模範解答の、how about の後のasking は、askではダメですか?? 教えてください🙏

9 エリカ (Erika) と留学生のロイ (Roy) が昼休みに教室で話をしました。 この対話文を読んで, (1) (2) (3) に入る最も適当なものを、それぞれあとのアーエのうちから一つ ずつ選び、 その符号を書きなさい。 また、対話文の内容に合うように, 符号は語数に含まない。) で書きなさい。 Erika: Roy: Erika: Roy: Erika: Roy: Erika: Roy: (1) I planted rice in my host father's rice field. He is a rice farmer. Sounds interesting. Did you enjoy it? に入る英語を10語程度(、・などの I planted rice for the first time. It was hard work for me, but it Of course. was exciting. That's wonderful. Well, I saw news on TV about living things in rice fields last week. It said the number of living things is smaller these days. (2) There are some reasons. One is concrete water channels in rice fields. It is hard for some living things to live in such places. And some of them such as Japanese rice fish are endangered now. Really? (3) I hope that endangered living things in rice fields will be helped. I hope so, too. What can we do for them? Erika: Roy: Erika: Good idea. Let's go to the teachers' room after school. Roy: Yes, let's! (€) plant ~を植える host ホームステイ先の rice field 田んぼ farmer hard 困難な living thing 生き物 these days 近頃では concrete water channel コンクリート製の用水路 Japanese rice fish ミナミメダカ (1) 7 How often do you plant rice? What does your host father do? (2) Why is the number smaller? Why did you see the news? endangered 絶滅の危機にある What did you do last weekend? I When did you plant rice? 1 I know that. I I saw the news, too. (3) 7 Actually, I have some endangered living things at home. Where can I see such places? Can you tell me more about concrete water channels? I That's too bad.

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英語 中学生

このような英文を読むのに8分ぐらいかかってしまいます。筆記は30分しかないので、2、3分で読めるようになりたいです。 早く読めるコツを教えてください。

4 Read the passage and choose the answer which best completes each sentence (1) 1)~(4). We all know that any person has a dream while they are sleeping. We also know that it is difficult to remember dreams after we wake up. Most dreams are soon forgotten and they disappear like small bubbles in water. In addition, they often cannot be remembered at all after they are forgotten. Even if you can remember a dream soon after you wake up, perhaps you cannot remember it any more after getting out from your bed to make some coffee. Maybe you have had such an experience. Then, have you ever noticed that you were having a dream while you were sleeping? / Some people have had such an experience. It is called a lucid dream, and some scientists in the world do research on it. Actually, there are even research groups which focus on it. Why do they do research on lucid dreams? For one thing, there may be advantages for us. We will be able to avoid nightmares and make our dreams happier or more exciting if we can notice we are having dreams and we can control them like a pilot. Today, scientists do not know enough about lucid dreams and how to control them, so there are still many things to be done in the research. But it may be possible for everyone to have lucid dreams if science in the area improves more. Actually, that is one of goals that some scientists are trying to reach. According to a survey, over 75% of the respondents answered that they experienced a lucid dream at least once in their lives. Also, many reports about lucid dream experiences were given in history. We can find early reports on them in books from ancient cultures. For example, an ancient Greek doctor already tried to use lucid dreams as a kind of therapy over two thousand years ago. And controlling our dreams in our own ways was one of the important topics among early Buddhists in Asia.

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英語 高校生

高校生 定期試験 問題文 今日あった試験の単語抜き取り問題です。 6.bombs 7.Pavilion 8.canvas 9.livestock 10.Guernica と答えたのですが、採点してほしいです…… 特に10はtragedyと答えてる人が多くて不安です

1. 次の文を読んで、問題に答えなさい。 Okamoto Taro, a Japanese artist, visited the Spanish Pavilion of the 1937 Paris Exposition. When he saw the painting Guernica, he (1)couldn't take his eyes off it. It was painted in black and white. But he felt like it was painted (2). (3) that the painting drew him into its world instantly. This big piece of work, 3.5 m 4 7.8 m, was painted 4 Pablo Picasso, a Spanish artist. (5) Picasso ( 6 ) to France in his (7), he painted it in Paris. He was 56 years old then, but he worked hard and completed it (8) within a month or so. This painting fascinated those who saw it at the Exposition. It became one of Picasso's best- known works among his over 10,000 paintings. Picasso was originally asked to paint something for the Exposition by the Spanish Republican government. However, he had not decided what to paint until he read a shocking newspaper article. According to the article, Guernica, a small town in Spain, was bombed by the Nazis on April 26, 1937. (9) In those days, the Nazis supported General Francisco Franco. He had been ( 10 ) to overthrow the Spanish government. ☆ The bombing started around 4 o'clock in the afternoon. People and livestock at a busy market (11) there ran (12) about, trying to escape from the attack. Many buildings, including a train station, hotels, and restaurants, were demolished. The bombing lasted about three hours, and 50 tons of bombs were dropped. Three-fourths of the town was destroyed, and several hundred people were killed. Picasso was shocked because the bombing was a cruel attack against the public in his home country. In order to protest against it, he decided to make a painting of the bombing. He struggled to paint the tragedy of the bombing. He drew a number of sketches trying to show the sorrow of the people in Guernica. Even after he started painting on a big canvas, he kept changing his ideas. 2133

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数学 高校生

数Aのn進法の問題がわかりません😭‼︎ 1枚目の写真の例題283と、2枚目の写真の⑵の問題ってほぼ似たような問題だと思うのですが、 なぜ例題の方はbをいくつかに場合分けしているのに⑵の方は一発ですぐb=0って決められるのでしょうか⁇ 教えてください🙏‼︎

例題283 n進法の表し方(3) 解答 八進法で書いた3桁の自然数を七進法に直したら,各位の数字の順序が すべて逆順になった。この自然数を, 八進法, 十進法で表せ. Focus 考え方 八進法で書いた3桁の自然数をabc (8) とすると,題意より, 七進法に直した3桁の数 はcba (7) となる。 abc(s) を十進法に直すと α×82+6×8+c である。 MALOX cを1≦a≦6,0≦b≦6,1≦c≦6 を満たす整数 とする. abc (8)=cba (7) であるから, ax82+bx8+cc×72+6×7+α、 BORD s (i) b=3のとき, 16c-21a=1 より, 16c-1=21a で, 左辺は奇数であるから 1≦a≦6 を満たす整数 αはα=1,35のいずれかである+ この中で適するのは, a=3 c=4 このとき よって, 334 (8) したがって, b=3 (16c-21α) より 6 は 0≦b≦6 を 満たす3の倍数である. (i) 6=0 のとき, 16c-21a=0 より, 16c=21a よって, 16と21は互いに素であるから, aは16 の倍数, cは21の倍数となる. しかし, 1≦a≦6, 1≦c≦6 の整数で,この式を満(1) たすa,c は存在しない. 1010011 101 八進法では, 十進法では, 3×8°+3×8+4=220 (ii) b=6のとき 16c-21a=2より 10g ×0+匹×1+$kl= al Sgt **** aは2の倍数で, 1≦a≦6 より 整数αは a=2, 4, 6 のいずれかである.×14 しかし,この中で適する αは存在しない. よって, (i), (i), ()より, 八進法では 334 (8) 十進法では 220 とcは0になるこ とはない. 8X0+3XS03 2(8c-1)=21a S EXCL 6X1-C 1-8) + SOS=C2 (S)

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数学 高校生

数IIです。 最後の式で2n-1が 出てくる理由を解説お願いします

解答 基本 00000 (1) kaC=C- (n≧2,k=1, 2, ....... n) が成り立つことを証明せよ。 (2) (1+x) の展開式を利用して、次の等式を証明せよ。 (ア) Co+C1+nC2+...... + Cr+...... + Ca=2" (イ) Co-Ci+Ca+(-1)'n Cr+......+(-1)""C=0 (ウ) Co-2C,+22+(-2)" nCr+......+(-2)""C"=(-1)" BLAN 5 二項係数と等式の証明 (1) k.k n! r!(n-r)! (1).C= を利用して, kmC Cをそれぞれ変形する。 (2)(ア) 二項定理 (p.13 基本事項 4) において, a=1, b=x とおくと (1+x)"=C+Cx+aCx+......+...... Cax" 等式① と 与式の左辺を比べることにより,① の両辺でx=1 とおけばよいこと に気づく。 同様にして, (イ), (ウ)ではに何を代入するかを考える。 =no k!(n-k)! (n-1)! (k-1)!(n-k)! (n-1)! (k-1)! ((n-1)-(k-1)! =n. ne-1CA-1=n· したがって knCk=nn-1Ck-1 (2) 二項定理により、 次の等式 ① が成り立つ。 よって (ア) 等式 ① で, x=1 とおくと よって (イ)等式 ① で, x=-1 とおくと n!=n(n-1)! (n-1)! (k-1)!(n-k)! (1+x)"="Co+C1x+ C2x2+.....+Crx++nCx" /p.13 基本事項 すべてのxの値に対して成り立つ。 ① (1+1)"="Co+" C1・1+C2・12+・・・・・・・1'+・・・・..+nCm・1" Co+nC1+nC2+......+C+•••...+nCr=2" (1−1)"="Co+nC2+(-1)+C2・(-1)^+......+.C.(-1)^+..+. C· (−1)" ル Co-nC1+nC2-….....+(-1)'nCr+......+(-1)",C=0 よって (ウ)等式①で,x=-2 とおくと 習 次の等式が成り立つことを証明せよ。 5 (1) C₁-C₁+²+(-1) * - - - - C2 nCn 1 22 2" (1−2)"="Co+mC・(-2)+C2・(-2)+......+nCr. (-2)" +......+ C. (-2)" Co-2nC1+22+(-2)" n Cr+......+(-2)""C=(-1)" を素数とするとき, (1) から kpCh Dp-1C-1 (p≥2: k-1, 2,, p-1) この式は C が必ずで割り切れることを示している。 2 (2) nが奇数のとき „Co+,C2+..+,C-1=nC1+,C3+.....+,C,=2-1 (3) nが偶数のとき nCo+nC2+......+C=Ci+C3+..+Cn-」=2"-1 p.23 EX3 4 数学 ⅡI [例題 5 (1+x)"="Co+mCx+......+n x² + + С₁x" ...... ① とする。 (1) ① の等式において, x=- 1/23 を代入すると ......+ (1/21)=nCot.C.(-/1/2)+c(-1/21) 2++,C,(-1/2/2)* ゆえに no-sci +62.... C₁ n Cz 22 2月 ······ + (-1)" nCn (2) ① の等式において, x=1 を代入すると 2"="Co+mCi+nC2+......+nCm ① の等式において, x=-1 を代入すると 0=mCo-nC1+nCznCr ② +③ から 2"=2(Cot Cz+…+,C,-) ② ③ から 2"=2(nC1+Cs+ +mCn) したがって (3) ① の等式において, x=-1 を代入すると Co+nC2+......+C-1=nC1+C3+...... + Cm=2n-1 0= Co-nC1+nC2+nCr よって, ② +④ から ②④ から ...... 4 2=2 ("Co+nC2+..+nCr) 練習 (1) 101 の百万の位の数はである。 46 (2) 21400で割ったときの余りを求めよ。 (1) 101²=(1+100)の展開式の一般項は (2) 2"=2(nC1+nC3+•••••• +nCm-1) って Co+nC2+......+nCn=nC1+C3+..+nCカー) =2-1 15C・100=15CA102k (0≦k≦15) 15Co.10°=1 15C1-10²=1500 3 1 2" 15C2・10‘=105・10=1050000 15C3・10°=455・10°=455000000 k=0のとき k=1のとき k=2のとき k=3のとき 15Ck 102k k≧4のとき ここで, 2k≧8 であるから, 百万の位の数は0である。 よって, 101の百万の位の数は 1+5=6 (2) (20+1)=2021+21C・2020 +21C2 2018 + +21C19202 + 21C20 20+21C21 ここで, 201+21, 2018+ 21を400で割ったときの余りは 21 =20²(201+21C1・2018 +21C2・2017+.... +21 C19) +400+21 =400(201+2,C ・ 2018 + +21C19+1)+21 +21C1+1は整数であるから, 偶数、奇数に対し 最終の符号は ←は奇数であるから (-1)=-1 ← 2式とも (両辺) - 2 ← は偶数であるから (-1)"=1 ← 2式とも (両辺) 2 [南山大) [ 中央大】 ←100²= (10") = ←15Co=1,10°=1 百万の位 ← 1050000 ← 455000000 ←15C-10¹ C 10°は1億。 ←C220+ C = 21-20+1 =400+21 ←21=400M+rの形。 (Mは整数 (10) 練習 正の整 $7 nを3で割 30 [1] n=3 n 3q-12 よって, [2] n=3 n" + = (3g- =39+1 =3x( よって [3] n= n" + = (3q 39+2 +₁ =3x ここ 230 (3 + =3 (i) (ii) [1]- n=

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