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English Senior High

英語の長文です。 文法表現のあるところが知りたいです。 よろしくお願いします。

UNIT 1 5 Reading Passage 10 15 20 20 25 Listening There are more than 37,000 known species of spiders in the world in a wide variety of shape's and sizes! The largest spiders in the world live in the rain forests of South America and are known by the people who live there as the "bird-eating spiders." These spiders can grow up to 28 centimeters in length- about the size of a dinner plate, and, as their name suggests, have been known to eat small birds. In comparison, the smallest species of spider in the world is native to Western Samoa. These tiny spiders are less than half a millimeter long — about the size of a period on this page and live in plants that grow on mountain rocks. - Some people like to keep spiders as pets, particularly tarantulas, which are native to North America and can live for up to twenty-five years, Most people, on the other hand, do not like touching spiders, and a significant number of people are afraid of them, mainly because of their poison. However, despite their bad reputation, only thirty of the 37,000 known species of spiders are deadly to humans. Spiders actually provide benefits to humans, by catching and eating harmful insects such as flies and mosquitoes. - - The main thing that makes spiders different from other animals is that they spin web's to catch the small insects they feed on. The unique silk of a spider's web is produced by special organs found spider web is five times in the lower part of the spider's body. It is light, elastic, and strong stronger than steel. Additionally, it is completely biodegradable. This means that the web will making it perfect for uses completely decompose¹ and eventually return to nature over time such as making fishing nets. Some people have tried to raise spiders commercially in order to collect the silk these spiders produce, but no one has ever really managed to make a go of it. One reason why these businesses never stand a chance is because it takes 670,000 spiders to produce half a kilogram of silk, and all of these spiders need living insects for their food. In addition, spiders are usually solitary² animals, and need to be kept alone. Researchers at an American company working together with two U.S. universities may have found a solution to making artificial spider web. Using genetically modified silkworms,³ the company hopes that in the long run it will be able to make large quantities of very light, very strong fiber for medical as well as other uses. Additionally, because the manufacture of the artificial web is from living silkworms, the industry potentially would be non-polluting and less harmful to the environment

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Mathematics Senior High

(2)について なぜ側面の塗り方は数珠順列ではなく、円順列なのですか?

PR 第1章 場合の数 209 立方体の各面に、隣り合った面の色は異なるように, 色を塗りたい。 ただし, 立方体を回転させ 21 て一致する塗り方は同じとみなす。 (1)異なる6色をすべて使って塗る方法は何通りあるか。 (2)異なる4色をすべて使って塗る方法は何通りあるか。 (1) 上面の色を1つ固定すると,下面の塗り方は 5通り そのおのおのに対して, 側面の塗り方は,異なる 4個の円順列で区別 できる (4-1)!=3!=6(通り) (1) 1色で固定 展開図 (上面を除く) 下面 1章 PR PP 210 面の塗り方は異なる2個の円順列に等しく (2-1)!=1!=1(通り) 長方形の 125 よって、異なる6色をすべて使って塗る方法は 5×6=30(通り) 6つの面を異なる4色で塗るには, 1組の向か い合う2面を1色で塗り, もう1組の向かい合う 2面を別の1色で塗る。 4色から2組の向かい合う面に塗る2色の選び方 八重は4C2=6(通り) 長方 異なる色 側面は円順列 上下の面の色が異なるから, じゅず順 列ではない。 HINT (2) 回転させると一致する場 合があるから注意。 同色で 固定 色んな色 2組の向かい合う面の色を固定すると、残りの2 共 MAHOES 同色で 固定 固定すると同 まわしたとき かぶってほう ACTUACIOMAHA 2!通りではない。 のとき よって、異なる4色をすべて使って塗る方法は [1 2 6×1=6(通り) (回転させると一致する) 35-15( () 04-8+Se n (n≧2) を求めよ。 通りあるか。 ed

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