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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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Mathematics Senior High

集合と命題の問題なのですが、151番の(1)(2)(3) と152番の解き方が分かりません。どなたか分かる方解説してください!

110 151* (1) a,bは有理数とする。 √5 が無理数であることを用いて 命題 Ta+6√5=0→a=0かつb=0」を証明せよ。 &Oと仮定する。 このとき at&s=① を変形すると 15-0 Q.bは有理数であるから、①の右辺は有理数であり 等式①は厚が無理数であることに矛盾する したがってb:0 atb55=0にb=0を代入するとa=0 よって与えられた命題は真である (a+3)+(6-5)√5=0 を満たす有理数α, b の値を求めよ。 a,bが有理数ならば、a+3,65はともに有理数 である。よって(1)で証明したことから(a+3)+(b-5)55:0 を満たすとき a+3=0, b-5:0 ゆえに a=-3, b=5 (3) (√5-1)a+b/√5 = 2 + √5 を満たす有理数a, b の値を求めよ。 等式の左辺を展開して整理すると → 例題 38 (-a-2)+(a+b^-1)55=0 a,bが有理数ならば、-a-2,a+b-1はともに 有理数である。よって(1)で証明したことから、有理数a,bが (-a-2)+(a+b-1)55:0を満たすとき -a-2=0 a+b-1=0 ゆえに b=3 BClear a=-2 152x, y, z は実数とする。 次の命題を証明せよ。 x2 >yz かつye<xzならば, xキリである。 xyzかつy<xzならばx=yであると仮定する xyzにx=y を代入すると y² > YZ O y2<xzにx=y を代入すると y² < YZ.. ①と②は矛盾する よってxxかつくってならばメキまである

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