Grade

Type of questions

Mathematics Senior High

f(x)のa,b,cに代入するところって間違ってますよね?

468 第8章 整数の性質 考え方 **** 2次関数f(x)=ax2+bx+c について,すべての整数nに対して、 - f(n) が整数値をとるためのa,b,c の必要十分条件を求めよ. 解 例題265 整数の応用問題 (1) (4) まずxに適当な値を代入して必要条件を求める. 18. N 文字がa,b,cの3つあるので、3つの値を代入する. 求めた必要条件をもとに逆が成り立てば,十分条件が成り立つ SOYDAS VA () 1 条件より, f(0), f(1), f(-1) が整数値となることが必 要であるから, [f(0) = c より, f(1)=a+b+c lf(-1)=a-b+c ここで,a+b+c, a-b+cは整数で,①より, (a+b, a-bは整数 逆に, ① ② が成り立つとき, cは整数 ① Focus a+b=p,a-b=g(p,g は整数)とおくと, 上の2式をたす ひく. a=p+q b=p-q 2 2 よって, f(x)=ax2+bx+c = (p+q) x ² + (p+q) x + 2 2 =1/2/2x(x+1)+1/2x(x-1)+c- はつねに整数値をとる. よって, 求める必要十分条件は, ₂. f(n) = n(n+1) + n(n-1)-c) o ここで, n(n+1), n(n-1) は連続整数の積より偶数で ある. したがって, 1/2n(n+1), n(n-1)は整数より、f(n) 「ca+b, a-bが整数である」 ことである. 3つの値 x=0, ±1を 代入する. (mod p 必要条件 ここから、十分条件を 求める. 変数を含む等式の必要十分条件 ⇒ まずは変数に具体的な値を代入して必要条件を求めよ。 5 5.

Resolved Answers: 1
English Junior High

文章長くてすいません。 赤線が引いてあるとこで『toshio did』と言ってますが'did'は絶対入れなきゃダメですか?? didが入る理由が分かりません。😭

6 対話文読解 ② 1 次の Fumiko, Keiko, Toshioの会話を読んで、 問1~間8に答えなさい。 *印のついている語句には, 本文のあとに〔注〕 があります。 Fumiko, Keiko, and Toshio are high school students and good friends. After school, they are having a *meeting in their *classroom. They want to *recycle things. meeting me here. I thought of a great idea last night. I think we should collect *unneeded things from our homes and sell them at the city *flea market. That's a great idea, Fumiko! My house *is full of unneeded things. My family uses them. I have many old clothes. Toshio: Yes. I also have many things at home. I have old books, shoes, and more. Fumiko: I'm glad you both agree. A flea market is a good way to recycle things. Toshio: Keiko: Fumiko: Great! I will ask my father and we will clean the *garage. Maybe he has some old things and we can sell some of them. Fumiko: Keiko and Toshio, thank you Keiko: Keiko: Toshio: A Keiko: never I will go to the *city office this week. I will get *information about flea markets. have to wash my old clothes and put *prices on all of them. My mother will help me. And I will talk with my brother. He has many old books and comic books. I think that he has about one hundred comic books. We can also sell old books, right? I think we can do that. I have an old desk and chair. My mother is going to *throw them away next week. Oh, don't throw away your old desk and chair. the flea market? Toshio, can you ask someone in the city office about it? Toshio: OK, I will ask them tomorrow. Fumiko: Great ideas, everyone. Let's start! B Can we sell a desk and chair at brand ad asdw bas olet aud? I Last Sunday, the three students joined the flea market in the park, and they sold many things there. All of their family members helped and gave them a lot of things to sell. They all did well and made a lot of money. The three are now talking together. you of mateil das uOY 問1 問2 HE

Resolved Answers: 1