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英語 高校生

He would say that God had given him a tail to keep the flies off, but that he would sooner have had no tail and no flies. soonerは「すぐに」って訳... 続きを読む

2 Animal Farm pig, with a wise and benevolent appearance in spite of the fact that his tushes had never been cut. Before long the other animals began to arrive and make themselves comfortable after Jessie and Pincher, and then the pigs, who settled down in the their different fashions. First came the three dogs, Bluebell, themselves on the window-sills, the pigeons fluttered up to the straw immediately in front of the platform. The hens perched rafters, the sheep and cows lay down behind the pigs and began to chew the cud. The two cart-horses, Boxer and Clover, came in together, walking very slowly and setting down their vast hairy hoofs with great care lest there should be some small animal concealed in the straw. Clover was a stout motherly mare approaching middle life, who had never quite got her figure back after her fourth foal. Boxer was an enormous beast, nearly eighteen hands high, and as strong as any two ordinary horses put together. A white stripe down his nose gave him a somewhat stupid appearance, and in fact he was not of first- rate intelligence, but he was universally respected for his steadi- ness of character and tremendous powers of work. After the horses came Muriel, the white goat, and Benjamin the donkey. Benjamin was the oldest animal on the farm, and the worst tempered. He seldom talked, and when he did it was usually to make some cynical remark - for instance he would say that God had given him a tail to keep the flies off, but that he would sooner have had no tail and no flies. Alone animals on the farm he never laughed. If asked why, he would among the say that he saw nothing to laugh at. Nevertheless, without openly admitting it, he was devoted to Boxer; the two of them usually spent their Sundays together in the small paddock beyond the orchard, grazing side by side and never speaking. The two horses had just lain down when a brood of duck-

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数学 高校生

例題48です。 解答の添削をお願いします🙇

86 例題 48 集合の相等の証明 8 例題 46 Zを整数全体の集合とするとき、次の集合A,Bは等しいことを証明せよ。 A=(2x+3yxEZ, yeZ}, B= {3x+5yxEZ, yEZ} 2つの集合の相等 AB を証明するには、次の2つの方法がある。 ① 相等の定義 (p.83) に戻って,次の2つを示す ACB (xEA ならばxEB) BCA (xEB ならばxEA) ② 計算法則の利用 (ド・モルガンの法則やか.79 分配法則の利用) ここでは2は無理であるから、の方針によって証明する。 10 法則 1 正 と (S) (18) (8) (1S-4X8 CHART 集合の包含 相等の証明 [ ① xEA を考える ② 計算法則 [答案 [1] αEAならば a=2m+3n (mEZ, nEZ) と表される。 このとき a =3n+2m=3n+(5m-3m) =3(n-m)+5m Bの要素の形に変形。 n-mEZmEZであるから よって aЄB α EA ならば α∈B が示された。 6=3m+5n(m=Z, nEZ) ACB [2] b∈B ならば と表される。 このとき b=3m+5n=3m+(2n+3n) =3(m+n)+2n m+nEZnEZであるから BEA よって BCA 2.0) ( [1] [2] より, ACB かつ BCA であるから [(SA=B 重要 ACB の証明 「xEA ならば xEB」 を示す。 A B の証明 「ACB かつ BCA」 を示す。 す = =83Aの要素の形に変形。 EBならばbEA が示された。 練習 48 集合 A={n+n|nは整数},B={2n|n は整数}について, ACB である A ことを証明せよ。 48 整数全体の集合Zと集合 A={2x+3y|x∈Z, y∈Z} について,A=Zで B あることを証明せよ。

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