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数学 高校生

(3)が文字が多すぎてわからないです💦 3つの文字がある時になぜ解答のようになるのか教えて欲しいです!!

第1章 い J 10 第1章 式と証明 基礎問 是 • 42項定理 多項定理 (1)次の式の展開式における[]内の項の係数を求めよ. (ii) (2x+3y) (x³y²] (i) (x-2) (x³) (2) 等式 nCo+mCi+nCz+..+nCn=2" を証明せよ。 (3)(x+y+2z)を展開したときのry'zの係数を求めよ。 精講 2項定理は様々な場面で登場してきます. ここでは I.2項定理の使い方の代表例である係数決定 Ⅱ.2項定理から導かれる重要な関係式 以上2つについて学びます。 2項定理とは, 等式 (a+b)=n Coa"+na" 16+... +nCkan-kbk+... +nCnbn のことで, Cha"-kb (k=0, 1, , n). を (a+b)” を展開したときの一般項といいます。 参考 次に (x+y) を展開したときの一般項は Cirkyk-i したがって(x+y+2z) を展開したときの一般項は 6Ck kCixiy-(22)6-k =26-• Ch* Ci x¹y-iz-k よって, ray'zの係数は k=5, i=3 のときで 216C55C3=26C1・5C2 ポイント =2・6・10=120 11 定数の部分と文字式 の部分に分ける (a+b)" =nCoa+nCian1+..+nCkan-kbk+…+nCnbn 20% (3)は次の定理を使ってもできます. 多項定理 (a+b+c)” を展開したときの abc" の係数は >>n! (x) p!q!r! (p,g,rは0以上の整数で, p+g+r=n) (x+y+2z) を展開したときの一般項は 6! p!q!r!xy(22)=- 276! p!q!r! xyz" p=3, g=2,r=1のときだから求める係数は (p+g+r=6) 答 (別解) (1)(i)(x-2)を展開したときの一般項は Cr(x)^(-2)=Cr(-2)7-'.' r=3のときが求める係数だから < Crx7" (-2)" でも その数 文字 7X6X5 7C3(-2)=- .24=560 3×2 よい 2・6! -=120 3!2!1! (i) (2+3y) を展開したときの一般項は 5C(2.x)(3y)=5Cr・2'35-xTy5-r r=3のときが求める係数だから 5×4×3 5C3・23・32= ・・2・32=720 3×2 sCr(2x)-(3y)" T 文字 もよい (2)(a+b)"=Coa+nCia-16++nCn-ab-1„ C„b" の両辺に a=b=1 を代入すると (1+1)=„Co+„C+..+nCn ..nCo+nC+..+nCn=2" (3)(x+y+2z)を展開したときの一般項は。Ch(x+y)^(2z)6-k 注 1. 多項定理を使うと, 問題によっては,不定方程式 p+q+r=n を解く 技術が必要になります. 注2. (1)(ii)のようにx,yに係数がついていると, パスカルの三角形は使いに くくなります。 演習問題 4 (1) (32y) における ry の係数を求めよ. (2) Co-C1+C2-nCs+..+(-1)"C=0 を証明せよ -

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英語 高校生

写真 2枚目の3パラグラフ目の棒線部についてです。 和訳と照らし合わせたところ、 吐く  というのが cought upの意味だと思い、調べてみましたが、出ませんでした 。そのような意味はcought upにあるんでしょうか?

erlode aids (0 英文を読み、下記の問いに答えなさい。 For most prey, ( 14 ) is over once they've been swallowed. But one species of beetle can escape from a toad's stomach nearly two hours after being eaten, according to a new study. Found in wooded areas on nearly every continent, bombardier beetles - a group that consists of more than 500 species - get their name from their signature defense mechanism: When threatened, they shoot a hot chemical spray from their rear end. In Japan, the insects have long been known as "the farting bug." Toads have been observed vomiting bombardier beetles after eating them, but no one knew exactly why, or ( 15 ) the beetles survived after their brush with digestion. あわや? bine To better understand the beetle's defenses, two biologists from Kobe University fed a species of bombardier beetle to two different species of toad collected from forests in central Japan. One toad species shared its natural habitat with that particular species of beetle, while the other was unlikely to encounter it in the wild. (16) After the beetles were swallowed, a small explosion could be heard inside each toad, indicating that the insects were firing their defenses. Overall, 43 percent of the toads vomited the beetles, taking anywhere

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英語 高校生

写真1枚目の 3 パラグラフめについてです。 棒線部のところの和訳が、 その甲虫が あわや消化されそうになった と書いてありますが、どこからあわやという表現が出たのか 、そして該当する英文中のbrush とらなんのことなんでしょうか?

英文を読み, 下記の問いに答えなさい。 For most prey, ( 14 ) is over once they've been swallowed. But one species of beetle can escape from a toad's stomach nearly two hours after being eaten, according to a new study. Found in wooded areas on nearly every continent, bombardier beetles - a group that consists of more than 500 species- get their name from their signature defense mechanism: When threatened, they shoot a hot chemical spray from their rear end. In Japan, the insects have long been known as "the farting bug." Toads have been observed vomiting bombardier beetles after eating them, but no one knew exactly why, or ( 15 ) the beetles survived after their brush with digestion. ? To better understand the beetle's defenses, two biologists from Kobe University fed a species of bombardier beetle to two different species of toad collected from forests in central Japan. One toad species shared its natural habitat with that particular species of beetle, while the other was unlikely to encounter it in the wild. (16) After the beetles were swallowed, a small explosion could be heard inside each toad, indicating that the insects were firing their defenses. Overall, 43 percent of the toads vomited the beetles, taking anywhere

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英語 高校生

下線部④を省略されている語句を補って完全な分にしなさい。 という問題です! 教えてください!Why notじゃだめなんですか?(´❛-❛`)

13 Reading Reading 104 /320 /100 /12 Recipe Listening 探検家のグレイはなぜ、高級ホテルに入れてもらえなかったのでしょうか? Richard Gray was a famous explorer". He was also a millionaire". He had visited every country in the world. Last year he decided to walk across Red Devil Valley, the hottest place on Earth. He walked for days over the hot desert sand. One night he found the place that he had camped in the day before. Gray had walked (). He was lost. Two days later he had drunk all his water. He couldn't walk. He crawled" to the top of a sand dune* and saw a man. The man was wearing clean trousers, a white shirt, and a tie. Gray crawled over to him. 4 "Water, water," he said. "I'm terribly sorry," replied the man, "but I haven't got any water with me." "Help me!" shouted Gray. "I'm a millionaire. I'll give you anything." That's very nice of you," said the man. "Look, I can't give you any water, but would you like to buy my tie?" NO 45 "A tie? Of course ()!" screamed Gray, and crawled away. He crawled slowly up the next sand dune. His lips were cracked and dry. When he reached the top of the dune, is he saw a huge luxury hotel. People were swimming in the huge swimming pool. There were beautiful fountains everywhere. "Is it a mirage*?" he thought. He stood up and staggered down the dune. A porter in a white uniform came out of the door. "Water. Please!" screamed Gray. "I'm sorry, you can't go into this hotel," said the porter. Why not? I've got plenty of money." "Yes," replied the porter, "but you aren't wearing a tie." NOTES explorer: millionaire: 大金持ち (268 words) Red Devil Valley: 架空の土地の名前 sand dune: R crack・・・にひびを入らせる luxury ぜいたくな crawlはう mirage: LAK stagger: よろよろ歩く porter (ホテルの) ボーイ パート ごとの 959

解決済み 回答数: 1