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数学 高校生

画像にある、基礎問題精講 数学III 82(1)の、極限の部分について質問です。 画像1枚目の①と、画像2枚目の②を、画像3枚目のように考えてはダメですか? もしダメなのならば、その理由を教えていただきたいです。 回答していだだければ幸いです。よろしくお願いいたします。

第5章 微分法 150 基礎問 r=0-sin0 (0名0名2元)で表。 y=1-cos 0 香の角をなすとき y平面上で媒介変数0を用いて (2) 点Pの座標を求めよ。 れる曲線C上の点Pにおける接線が2軸の正方向と (1)媒介変数で表された関数の微分についてはa ここでは,それを用いてグラブをかく練習をしま」、びま Cのグラフをかけ。 ょう、最大の 精講 第上、 (ただし、一安くaく引を da (2) 直線とご軸の正方向とのなす角をαとすると の直線の傾きはtanα で表せます。(数学II·B 58) 解 答 注参照 (1) 0<0<2xのとき, dy =1-cos 6, dy sin0 dz -=sin0 より de 1-cos0 de d0 11 <0 (1-cos0)? 64 また, dr? よって, グラフは上に凸。 71 また。 dy -0 より de 0=π (0<0<2元 より) sin0=0 0 1-cos0>0 だから, 増滅は右表のよう になる。また。 0 π 0 π dy -= lim sin0(1+cos0) 1-cos°0 dy dr 0 lim 0→+0 dr 0→+0 0 2 0 0 = lim 0→+0 Sin0 1+cos0 -=+0 0 0-2r=t とおくと, 0→2ェー0 のとき, t→-0 lim 0-27-0 dr dy sin (2x+t) 50(5) lim ー-01-cos (2元+t) K

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¥ Samuel Pepys is the earliest diary- keeper that is famous today. for it gives personal insight into London's Great Plague and the Great Fire. Pepys took diary writing from the realm of business to the individual. His diary is being published on the Internet, and it is interesting to note that there has beena new entry every day since Anne Frars 1929-194。 n January of 2003. It will continue over the course of several years to come. Reading his diary is fascinating. and it makes his life all the more real to us. 63 Today's electronic version of the diary, the web READING PASSAGE log, or “blog," has once again stretched the diary to fopic sentences and supporting sentences of each paragraph be much more than a personal account of the dav's events. There are blogs to document recipes, traveling. ロ movies, independent news, product announcements, allowance." It refers to a book for fragmentary writings by date and is photos, and anything else that needs to be recorded over time. Search engines like Technorati.com have 会 the six volumes of Samuel Pepys diary manuscript 35 been created to keep track of the more than 112 million blogs that are $ diary is a good form of self-study. 日(In America, from the 1940s through the 1980s! a diary was thought of currently public. In its newest incarnation, the diary has become more popular mostly as a way to privately express one's deepest thoughts while keeping notations about the day, In those times, pnd even continuing on today, writin。 in a diary was like writing to a special friend. Many times, movies would show than ever. COMPREHENSION QUESTIONS 9 teenage girl beginning to write in her diary while she said aloud, "Dear diary Decide if each statement is true [T] or false [F]. If it is false, write the sentence correctly. What followed was a synopsis of the day, usually filled with emotion. Those private reflections may have historical significance long after the 1.[]The word “diary" means a collection of stories written every ロ day. author's death. A diary kept by a young German Jewish girl by the name of Anne 2.[] Diary writing in movies illustrates how similar it is to writing to a special friend. Frank provides us with invaluable lessons about history, for she documented Anne kept a record of her private events and thoughts in her diary after she moved to Germany. 15 her experiences while she hid from the Nazis during their occupation of the Netherlands in World War II. Her diary became one of the world's most widely 4.[]Pepys was one of the first diary writers to include his own personal observations of historical events. read books and is the basis for many films. Samuel Pepys, who lived during the 17th century, is the earliest diary-keeper that is famous today. His diary is also an important documentation of history, ロ 5.[、]Today's diaries on the web are changing their characteristic of being secretive. 12

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