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数学 高校生

10(3)と11(2)が分かりません。 それぞれ答えは100通り、2022通りになります。 特に(2)はどんな方法でやるのが1番早いでしょうか? よろしくお願いします

10 [2022 慶応義塾大] ある学校では,ドミソシの4つの音を4つ組み合わせて チャイムを作り, 授業の開始・終了などを知らせるため に鳴らしている。 チャイムは,図1のように4×4 の格 子状に並んだ16個のボタンを押すことによって作るこ とができる。 縦方向は音の種類を表し、横方向は時間を 表している。 例えば,ドミソシという音を1つずつ、順 番に鳴らすチャイムを作るには、 図2のようにボタンを 押せばよい(押したボタンを◎で表している)。 ただし、鳴らすことのできる音の数は縦1列あたり1つ だけであり,音を鳴らさない無音は許されず,それぞれ の列で必ず1つの音を選ばなければならないとする。 このとき 図1 音の種類 ・時間 音の種類 時間 図2 (1) 4つの音を1回ずつ鳴らすことを考えた場合,チャイ ムの種類は | 通りになる。 (2) (1)に加えて,同じ音を連続して2回繰り返すことを1度だけしても構わない (例: ドミミソ) とした場合、チャイムの種類は合わせて 通りになる。 ただし, 連続 する音以外は高々1回までしか鳴らすことはできず,それらは連続する音とは異なら なければならないものとする。 (3)(1)と(2)に加えて,同じ音を連続して4回繰り返すチャイムを許すと, 可能なチャ 通りになる。 イムの種類は合わせて 11 [2022 岩手大] ある公園には右の図の線で示されるような歩道が造られて いる。また,この公園内には図のP,Q,R の3地点にだ け水飲み場が設置されている。 IP (1) A地点から歩道を通ってB地点に至る最短の経路のう ち P地点の水飲み場を通るものは何通りあるか。 (2) A地点から歩道を通ってB地点に至る最短の経路のう ち, 水飲み場を1回以上通るものは何通りあるか。 A 20 IR B

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英語 高校生

英語の長文です 文法表現があるところが知りたいです!

UNIT 5 Reading Passage 5 10 15 20 20 25 Listening There is a saying in France that states: "The government could fall, the Louvre¹ could be broken into, or aliens could land on Earth, but if any of these things happened during the Tour de France, no one would notice." The Tour de France is the most famous cycling race in the world. The which is held in July every year, consists of twenty one-day stages, plus several rest days. The course follows a clockwise route around France, and often neighboring countries, including Luxembourg, Belgium, and Italy. The winner is the rider who completes all twenty stages of the race in the shortest overall time. race, The Tour de France first started on July 1, 1903, when sixty cyclists left from in front of The Alarm Clock Café, just outside of Paris, and rode 467 kilometers to Lyon. The first race consisted of six legs, each of which was about 400 kilometers long. At that time, there were no rest days the winner was the rider who finished the race in the shortest total time. The winner of the first Tour de France, Maurice Garin, the most popular cyclist in France at that time, received 2,000 francs (about $350). It took him 94 hours and 33 minutes to ride all 2,428 kilometers of the race, three hours faster than the runner-up.² Over the weeks during which the race was run, the idea of the Tour de France slowly caught on with the people of France. The race has been held every year since that time, except during the years of World Wars I and II.³ The Tour de France has developed several special honors for which racers compete. The highest honor is the "yellow jersey." Henri Desgranges, the founder of the race, introduced the yellow jersey in 1919 to show the leading racer each day of the Tour de France. Each day, the officials who keep track of all of the riders' times compare each rider's total time up to that point. The racer with the lowest overall time wears the yellow jersey during the following day's race. Other honors include the "green jersey," which is given to the best sprinter, and the "polka dot jersey," a white jersey with red dots, for the best rider in the mountains along the route. Over the years of the race, the competitors have gained a reputation for good sportsmanship. For example, if a lead rider falls off his bike, it is common for the following riders to slow down to allow the fallen rider to catch up. Some watchers are surprised by this, but as German rider Jan Ullrich, who came in runner-up in 2002 after waiting for winner Lance Armstrong, says, "Of course I would wait. If I would have won this race by taking advantage of someone's bad luck, then the race was not worth winning." 1 the Louvre a famous museum in Paris 2 runner-up someone who comes second in a race or other competition 3 World Wars I and II 1914-1918 and 1939 - 1945 abent ages

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英語 高校生

この英語長文において、印刷技術の発達に必要な技術はどのようなものであるか50~200字で答えてください

木版画 鋳造 第3問 以下の文は、 S. Strandh の “Machines, an illustrated history" からの抜粋で ある。 次の文を読んで、設問に解答せよ。 (ア) The tools of precision mechanics were, without doubt, the technical pre conditions for making wood cuts and for the development of printing. The oldest dated wood engraving is from 1418. It shows fine lines throughout 細部 and a richness of detal, which imply that the tools used, the knives, burins, and so on, must have been eminently suitable At this time, it was only the precision mechanics of clock making which could achieve the technique required for such tools. 精密機械技術 (イ) A (woodcut was produced by transferring a drawing, reversed from left to right, onto a carefully surface-ground "block" of wood, after which the surface wood on either side of each line in the drawing was cut away with a burin of forged steel. The remaining wood on all 'surfaces which were to be white in the drawing were then cut away with gravers and gouges, so that the lines of the drawing became raised. They were then inked and pressed against paper. これは 理由では ないから、 (~のときに、何 が原因か は不明) The woodcut method spread rapidly in the late Middle Ages when pictures were rarity. At first, skilful craftsmen made the woodcuts, but before long, eminent artists were themselves cutting their own drawings in wood. One of the first was the German Albrecht Duerer (1479-1528) who, in 1498, published the famous pictorial series of the Revelation of St. John. Graphics had become an independent art form-based on the progress of precision 酒の mechanics! 可動式の The 1440s saw the first book printed with movable die-cast type. (The letter press printing method used by Johann Gutenberg (1399?-1468) was basically the same as the one used for printing woodcuts, but Gutenberg used cast, movable type instead of cut blocks. The production of dies for the type was made possible by the tools of precision mechanics, too. It does not detract from Gutenberg's contribution that printing with movable type has been practised in the Far East, or more specifically Korea, two thousand years prior to this. Several of the techniques described here, which developed so quickly during the technical revolution of the Renaissance, had had predecessors in other parts of the world. ' 金楼 にねじ を刻む 道具 ~をなら K あったもの

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英語 高校生

(③)に入る語を文脈から考えて書きなさい。という問題です 訳分からないので教えてください!!( Ꙭ )

*13 Reading Reading Gramma /12 Recipe Listening /324 /10 /100 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 tic. Gray crawled over to him. "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?" "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." 20 (268 words) NOTES explorer: crawl: はう millionaire: 大金持ち Red Devil Valley: 架空の土地の名前 sand dune: E crack... にひびを入らせる luxury ぜいたくな stagger: よろよろ歩く porter: (ホテルの) ボーイ mirage しん気楼 パート ごとの 150

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