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Mathematics Senior High

丸で囲んだ所がよく分からないので解説お願いします

重要 例題 55 関数の作成機関は 図のような1辺の長さが2の正三角形ABCがある。 点P が頂点Aを出発し、 毎秒1の速さで左回りに辺上を1周す るとき,線分 AP を1辺とする正方形の面積y を,出発後 の時間x(秒) の関数として表し,そのグラフをかけ。 ただし,点Pが点Aにあるときは y=0 とする。 しょう B' CHART OSC OLUTION 変域によって式が異なる関数の作成 ① xの変域はどうなるか→0x6 ② 面積の表し方が変わるときのxの値は何か- → x = 2,4 点Pが辺BC上にあるときの AP2 の値は、 三平方の定理から求める。 解答 y=AP2 であり,条件から,xの変域は 0≦x≦6 [1] x=0, x=6のとき 点Pが点Aにあるから [2] 0<x≦2のとき よって y=x² [3]2<x≦4のとき 点Pは辺BC上にある。 辺BCの中点をMとすると, BCAM であり よって, 2<x≦3のとき 3<x≦4 のとき AM=√3 点Pは辺AB上にあって 5x ここで ゆえに, AP2 PM2+ AM2 から [4] 4<x<6 のとき [1]~[4] から PM=1-(x-2)=3-x PM=(x-2)-1=x-3 AP2=(AC-PC)2 から ガウス y=(x-6) 2 y=(x-3)2+3_ 点Pは辺 CA上にあり, PC=x-4, y 0≦x≦2のときy=x2 2<x≦4 のときy=(x-3)2+3 4<x≦6 のときy=(x-6) 2 グラフは右の図の実線部分である。 ・ O I I y=0 AP=x 1 I BM=1 I I I I I I I 234 I I I 6 [1] P x P B-T PM x-2 [] 21) CL ◆結局 2<x≦4 のとき PM=x-3| ■頂点 (3,3), 軸x=3 の放物線 ←{2-(x-4)}^=(6-x) 2 =(x-6) 2 頂点 (6,0), 軸x=6 の放物線 S (9) Y x=0, y=0 はy=x2 に, x=6, y=0 はy=(x-6)2 に含められる。 3 beng:7/

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English Senior High

この文章について、下から2番目の「one thong is clear now」のone thingが示す内容は何なのですか?

New Media There have been many great inventions in history, for example, the wheel, paper, and the steam engine. Inventions can change people's lives. They can create new businesses and new culture. This is especially true for two recent inventions personal computers and the Internet. The Internet has become an important kind of media, an important means of communication for many people. This new media form is different from older forms, such as print media (books, newspapers, and magazines) and broadcast media (radio and television) in at least two ways. LF-4 First, people can get and send information easily on the Internet. They can access information at almost any time. People can use the Internet to communicate in many ways. It's easy to send pictures, videos, and messages, so people are sending and viewing a lot of them. However, this may also be a problem. People are spending too much time on their smartphones and computers. 3» A second difference is content. With other media, such as newspapers, magazines, TV, and radio, the content is usually made by a limited number of professionals. However, nowadays, almost anyone can create and upload content to the Internet. That means we can get much more information, but we have to be careful. We don't always know who made the content, and some of the LF-3 information may be incomplete or incorrect. 4" The Internet has become an important way to get and share information. We won't know the real effect of the differences between the Internet and other media for years. However, one thing is clear now. It has already become an essential part of our culture. 1» 2»

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