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English Senior High

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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English Senior High

英語の長文です どこに文法表現があるか知りたいです! よろしくお願いします。

5 UNIT3 Reading Passage 10 15 20 20 25 30 Listening When important events are happening around the world, most people turn to traditional media sources, such as CNN and BBC,¹ for their news. However, during the invasion of Iraq by the United States and its allies in early 2003, a significant number of people followed the war from the point of view of an anonymous² Iraqi citizen who called himself "Salam Pax" (salam means "peace" in Arabic, and pax means "peace" in Latin). Salam Pax wrote a diary about everyday life in Baghdad during the war, and posted it on his web site. Pax's online diary was a kind of web site known as a "blog." Blogs, short for "web-logs," are online diaries usually kept by individuals, but sometimes they are written by companies and other groups of people. They are a rapidly growing type of web site on the Internet. There are estimated to be several hundred thousand blogs on the Internet, and with the popularity of other social media sites, the number of people writing online about their lives continues to grow. may find A blog differs from a traditional web site in several ways. Most importantly, it is updated much more regularly. Many blogs are updated every day, and some are updated several times a day. Also, most blogs use special software or web sites which are specifically aimed at bloggers, so you do not need to be a computer expert to create your own blog. This means that ordinary people who computers difficult to use can easily set up and start writing their own blog. In 2003, the Internet company AOL³ introduced their own blogging service, enabling its 35 million members to quickly and easily start blogging. There are many different kinds of blogs. The most popular type is an online diary of links, where the blog writer surfs the Internet and then posts links to sites or news articles that they find interesting, with a few comments about each one. Other types are personal diaries, where the writer talks about their life and feelings. Sometimes these blogs can be very personal. There is another kind of blogging, called "moblogging," short for "mobile blogging." Mobloggers use cell phones to take photo's, which are posted instantly to the Internet. When the content and images posted online involve news subjects, mobloggers become citizen journalists. In fact, the Korean web site OhMyNews was a well known source for articles from international citizen journalists. However, in 2010, OhMyNews stopped posting new articles. Instead, it is now a blog site where citizen journalists can choose what makes the headlines, or just share ideas about how regular people are changing the news world. Anyone who visits the web site of a big media company can clearly see how the idea of blogging has changed the reporting of news. Quite often, a list of reader comments follow news articles. It seems that the news is becoming less like a report or a lecture, and more like a conversation, where anyone can join in. CNN, BBC Cable News Network, British Broadcasting Corporation anonymous not named; unknown 3 AOL America Online

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Physics Senior High

この問題は、等速円運動ではない円運動をしていますよね? 等速円運動ではないのに、等速円運動の運動方程式(F=m×r分のv2乗)を使えるのはなぜですか?

遠心力に関係した身近なものとしては,洗濯機や遊園地のループ式ジェットコースターなどがある。 例題15 鉛直面内での円運動 右図のような, 半径[m〕のなめらかな円筒面に向 けて,質量m〔kg〕 の小物体を大きさ [m/s] の初速 度でなめらかな水平面からすべらせる。 重力加速度の 大きさをg〔m/s'] とする。 53 58 62 B C P (1) 鉛直線となす角が0の点(図の点C) を通過すると きの, 小物体の速さと面から受ける垂直抗力の大き さを求めよ。 人 (2)小物体が点Bを通過するための の条件を求めよ。 Um 0.0& m Vo センサー 14 円運動では,地上から見てる 解くか、物体から見て解く かを決める。 解答 (1) Cでの小物体の速さを [m/s] とすると, 力学的エネルギー 保存の法則より, Bmgcose N C 1 1 ,2= mvo mv+mg(r+rcost) ① 地上から見る場合 2 遠心力は考えず,力を円の 半径方向と接線方向に分解 し円運動の半径方向の運 動方程式を立てる。 ゆえに、 cos00 mg ......① 12 m-=F r または mrw²=F ② 物体から見る場合 遠心力を考え、力を円の半 径方向と接線方向に分解し, 半径方向のつり合いの式を 立てる。 ※どちらでも解ける。 ● センサー 15 v= vv-2gr(1+cos0)[m/s] 垂直抗力の大きさを N[N] とすると, 地上から見た円運動の運動方程式は, v² m =N+mg cose r これを代入し、整理すると, 2 mvo N= -mg (2+3cos) 〔N〕 r ......② 別解 小物体から見ると, 円の半径方向にはたらく力は、実際 にはたらく力のほかに、円の中心から遠ざかる向き に遠心力がはたらいている。 半径方向の力のつり r 物体が面に接しているとき, 垂直抗力 N ≧0 合いより, m01.0 v² ◆N+mg cose-m - 00 (量的関係は上と同じ) (1) 水平面を重力による位置 エネルギーの基準面とする。 r 非等速円運動では、円の接線方向にも加速度があり、物体か ら見た場合、接線方向での力のつり合いを考えるためには,接 線方向にはたらく慣性力を考える必要がある。 (2)(1)より, 00 [ad] では, 0が小さくなるにつれて, 0, Nはともに減少していく。 点Bを通過するためには,点B で0かつN≧0 であればよい。 ①より, 8 = 0 を”に代 入して, v = √vo²-4gr よって, v4gr>0 ゆえに mvo また,②より 8=0をNに代入して, N= 5mg ④を比較すると, N≧0(面から離れない条件) が の条件を決めることになる。 2 mvo よって, -5mg≥0 ゆえに、r r ③④がともに成り立つためには、ひ≧√5gr 5

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Mathematics Senior High

マーカーのところで、原始関数ってなんですか?

400 基本 例題 239 定積分で表された関数の微分 次の関数を微分せよ。 について (1) f(x)=f(t-x) sintdt ことを証明 (2) f(x)=xlogydt(xン 1 (大) 指針▷(1) p.399 基本事項 ②① off(t)dt=f(x) (αは定数) (ここで, 積分変数は tであるから, 積分の計算で x は定数として扱う。 Sot-x)sintdt=S,tsintdt-x, sintdt と変形するとわかりやすくなる。 193 整式(x)は3次以下で、次の 解答 - 積分変数と関係のない文字 x を定積分の前に出す。 (2)p.399 基本事項 ② ② を利用してもよいが,下の解答では, じように,f(t) の原始関数をF(t) として考えてみよう。 (1) f(x)=f(t-x)sintdt=Sotsintdt-xSo sintdt示。 120 よって (x-10g2px を求め 公式を導いたときと同 xは定数とみて、定積分の 前に出す。 f(x)=aSotsintdt-{(x)'S, sintdt+x(axS, sintat)} x5 195 1x =xsinx-(Sosintdt+xsinx) = [cost] = J0 =cosx−1 (1,1)の値 int dt の微分は,積 の導関数の公式を利用。 (uv)'=u'v+uv' (1 表せ。ただかは自然とする。 1 (2) の原始関数をF (t) とすると logt ()()=6(1 1 logt Stadt dt=F(x3)-F(x2), F'(t)=- 定積分の定義。 logt 0196 よってf(x)= x1 1 dt=F'(x3)(x3)'F'(x2)(x2) 合成関数の導関数。 dx 2 logt すな 32 2x x x²-x ことを10gx3 10gx210gx 10gx log d 別解 Smif(t)dt=f(g(x))g'(x)-f(h(x))h(x) を用いSoftは既知の関数で表 dxh(x) logt 八 1 すことはできないことが知 るとf'(x)= • (x³)'. 10gx3 10gx2 (x)=xられている。 3x² 2x HIND x²-x b 23logx 210gx 2logx logx の (x)`A((x)\)³R—(x) \((x))\\\=

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