Grade

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Mathematics Senior High

【2】からよく分かりません。また、【3】でどうしたらS🟰の式がこのようになるのか教えて頂きたいです。

172 第6章 分 間 110 面積(M) 放物線y=a12a+2 (0<</2/2) ………① を考える。 精講 (1) 放物線 ①がαの値にかかわらず通る定点を求めよ。 ...... (2) 放物線①と円+y2=16 ② の交点のy座標を求めよ。 (3)a=1/2 のとき,放物線 ①と円 ② で囲まれる部分のうち、放物 線の上側にある部分の面積Sを求めよ. (1) 定数α を含んだ方程式の表す曲線が, αの値にかかわらず通る 定点を求めるときは,式を α について整理して, a についての恒 等式と考えます (37) (2) 2つの曲線の交点ですから連立方程式の解を求めますが,yを消去すると の4次方程式になるので, x座標が必要でも,まずxを消去してyの2次 方程式にして解きます。が、 E (3) 面積を求めるとき,境界線に円弧が含まれていると,扇形の面積を求める ことになるので,中心角を求めなければなりません.だから,中心Oと交点 を結んだ線を引く必要があります。もちろん,境界線に放物線が含まれるの で,定積分も必要になります. (2) 解答 し (1)y=ax2-12a+2 より a(x²-12)-(y-2)=0 これが任意のαについて成りたつので 2-12=0 ly-2=0 :.x=±2√3,y=2 よって, ①がαの値にかかわらず通る定点は (±2√3, 2) |y=ax²-12a+2... ① x²+ y²=16 ......2 ②より,㎡=16-y^だから,①に代入して αについて整理

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English Junior High

いの答えと考え方を教えてください。

5 10 15 20 25 30 The Olympics were held in Tokyo in 1964. A few years ago before the Olympics, Japan had a big problem. It was a problem of communication. Many foreign people didn't visit Japan, and we had only, Japanese signs. For example, words like "i" or "" were on toilet doors. These signs were not understood by many foreign people. Japanese people at that time needed to make signs in many different languages for foreign people. But when they put many words on one sign, the "letters became too small. They could not easily read the sign. They had to think of ) signs for foreign people. Mr. Masaru Katsumi, a leader of a design team for the Olympics, had a great idea. everyone /to/ was easy / thought / understand he forit pictures. He wanted to make picture signs. These signs are called *pictograms and are used in many places now. Picture 1 Picture 2 Picture 3 Look at these pictures. Picture 1 shows a shower. Picture 2, shows a toilet. Picture 3 shows a restaurant. Foreign people can easily understand what each picture shows. They had to make pictograms which everyone could understand without any trouble. When they started to make them, one of the pictograms was a shower. Many Japanese people didn't know about showers at that time and didn't have one at home. One of the designers didn't even know the word "shower." One officer had to explain how to use it with a photo of a shower. The designer made the pictograms through the officer's words. With a lot of trouble and hard work, twelve designers needed three months and made pictograms for the Olympics. When the last pictogram was finished, Mr. Katsumi said to all the designers, "You did a great job, but this work is not for us. We did it for all Japanese people. Please write your names on this paper." The paper said that they'd like to give up the *copyright to the pictograms. They wrote their names on the paper. They gave up the copyright. One of the designers said, "Mr. Katsumi hopes that many people in many places will use the pictograms in the future. Money from the copyright is not important to Mr. Katsumi. He is proud that he is one of the members who worked for the Tokyo Olympics." In 2020, we are going to have the Olympics in Tokyo. Our life will change a lot. What kinds of new signs or pictograms will we see around us? (E) letter pictogram ピクトグラム(絵文字) designer www. デザイナー officer 役人 copyright 著作権

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