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English Senior High

共テを受けた人(詳しい人)に質問させて頂きたいです。 これは駿台の問題演習なのですが、このレベルの問題は共テに出ますか? できなさすぎて不安になってきました、、、よろしくお願いします。

第7問 (配点 16) You are in a student group preparing for an international environmental presentation contest. You are using the following passage to create part of the presentation on valuable resources. bulani arbe your If you ask someone what the most precious natural resource on Earth is, they will possibly reply "water," as we cannot survive without it. Or perhaps "oil," which drives our modern lives, literally, with transportation and manufacturing depending on it. But what about seeds? Under a freezing mountain is a building, opened in 2008, that holds the future of our species. Surprisingly, and scarily, 95% of our food comes from only 30 crops. The Global Seed Vault holds over 930,000 types of food in the form of millions of tiny brown frozen dots. It could be described as part bank and part museum, storing a collection of 13,000 years of our crop-growing history. Set up by Norway, with government money assigned to run it, it sits in a sea of ice, which is the most northern place that regular planes can fly to. Around 1,700 similar projects, called gene banks, are scattered around the globe. These mostly store seeds from the local regions, which are mainly collected to catalogue scientific information about different plants and to save species in danger of dying out. Some, especially those such as bananas and coffee plants from hotter nations, do not have seeds that are possible to store, and the plants themselves are preserved in chemicals. As technology allowing such practices develops, and alarm about climate change escalates, more focus is on this work in the hope of being able to form new varieties of crops that can survive harsh climates. Between 2005 and 2008 the price of wheat rose dramatically, and the cost of rice tripled, mainly due to weather and plant diseases wiping out large proportions of global crops. With help by the United Nations in writing a document called the International Seed Treaty in 2001, the goal of the Global Seed Vault is to obtain and retain copies of every seed in smil dguol ai glad 101 grudas moi mis -24-

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Mathematics Senior High

重要9の(3)についてです。 2行目からの説明がわかりません。お願いします! 二枚目の写真の(3)についてです。3段目からの式が分からないです。お願いします! 3枚目について、なぜ同じと言えるのですか?

解答 重要 例題 9 工夫して展開 次の式を計算せよ。 Y (2)(a+b+c)+(b+c-a)+(c+a-b)+(a+b-c)'s)(x) (1 (1)(x-1)(x-2)(x-3)(x4)(S)(2)(x+y+( (3) (a+2b+1)(a²-2ab+46²-a-2b+1) 指針 DO 基本7 「※「動画で深める」のマークがある例題は、解説動画を視聴することが特に理解に役立 つ例題です。 前ページの例題同様, ポイントは掛ける順序や組み合わせを工夫すること。 (1) 多くの式の積は,掛ける組み合わせに注意。 4つの1次式の定数項に注目する。 (-1)+(-4)=(-2)+(-3)=-5であるから ← 共通の式x25xが (−1)(x-4)x(x−2)(x-3)=(x2−5x+4)(x2−5x+6) 出る。 (2)おき換えを利用して,計算をらくにする。 b+c=X, b-c=Y とおくと (与式)=(x+a)(x-a)+(a-Y)2+(a+1)2 (3) ( )内の式を1つの文字αについて整理してみる。 CHART 多くの式の積 掛ける順序・組み合わせの工夫 (1) (与式)={(x-1)(x-4)}×{(x-2)(x-3)} ={(x2-5x)+4}×{(x2-5x)+6}(pl+per+0 図の書 #3 -=(x²-5x)²+10(x²-5x)+24)) (pq+(p+x²-5x= (=x-10x+25x2+10x2-50x+24+ (4+4)(4+6) =A2+10A+24 Tp)-=x-10x³+35x²-50x+24 1-84-45 (2) (与式)={(b+c)+a}+{(b+c)-a}' 'par+"p48- ()){a-(b-c)}+{a+(b-c)}')(エナー =2{(b+c)'+α^}+2{a°+(b-c)^} =4a2+2{(b+c)'+(b-c)2} (dpa)(d+) ++) (=4a2+2・2(62+c2) =4a2+462+4c2 (+6) (C) (8)(1+(x+y)'+(x-y)" +A EX ② 1 P= 8=2(x2+y^) となることを 利用。 (3) (与式)= {a+(26+1)}{a²-(26+1)a+(462-26+1)}(a+●)(α²-▲a+■) =α+{(26+1)-(26+1)}a2 次の+{(462-26+1)-(26+1)^}a +(26+1)(462-26+1) =α-6ba+(26)'+13 =a3+863-6ab+1 8 とみて展開。 の) ③2 (1) (2 17.564p+q) (p²−pq+q²)=p³+q³ 注意 問題文で与えられた式 (与式) と書くことがある。 ③4 ■次の式を展開せよ。

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