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Mathematics Senior High

この問題なのですが、判別式を使って解けないでしょうか??0より大きいということはグラフが解をもたないか重解をもつときだからd=<でいいのかなって思ったんですけど.....この問題は必ず場合分けをしないと解けないのでしょうか.判別式は使えないんでしょうか.....

例題 97 文字係数の2次不等式 志の不立 ★★★ 次のxについての2次不等式を解け。 (1) x2-3ax +2a²+ α-1>0 (2) ax²-5ax+6a < 0 思考プロセス 《RAction 不等式は, グラフとx軸の位置関係を考えよ 係数に文字を含んでいても, まず左辺の因数分解を考える。 場合に分ける どちらが大きい? 例題 93 + B X 連立不等 例題 98 2つの2次不等式 x 整数がただ1つとな <ReAction 連立不 (1) 因数分解すると {x-(αの式)}{x- (αの式)}> 0 (2)問題文で「2次不等式」とあるのでα 0 である。 因数分解すると a(x-2)(x-3) < 0 ↑グラフは単純に右の図でよいか? 3 x Action》 文字係数の2次不等式は, 方程式の解の大小・グラフの向きで場合分けせよ 解 (1) x3ax +2a + α-1>0より x-3ax+(2a-1)(a+1)>0 (x-3)(x-3) {x-(2a-1)}{x-(a+1)}>0 .... DDR (x- (ア) α+1 < 2a-1 すなわち α > 2 のとき 不等式① の解は x < a +1,2a-1 <x (イ) α+1=2a-1 すなわち a=2のとき 不等式① は (x-3)20 2a+a-1-(2a-1)(a+1) 仕入 2つの解の大小関係で場 合分けする。 (ア) して + a+1 /2a-1x よって, 解は3以外のすべての実数 (ウ) 2a-1 <a +1 すなわち a < 2 のとき 不等式①の解は x<2a-1, a +1 <x (ア)~(ウ)より, 求める不等式の解は (イ) + + 3 x (ウ) + 2a-1 + la+1x α > 2 のとき x <α+1, 2a-1 <x a=2のとき 3 以外のすべての実数 la < 2 のとき x <2a-1, a +1 <x (2) ax²-5ax+6a < 0 より a(x-2)(x-3) < 0 与えられた不等式は2次不等式であるから a≠0 (ア) α > 0 のとき (ア) 2<x<3 (イ) α < 0 のとき x<2,3<x (ア)(イ)より, 求める不等式の解は [a > 0 のとき 2 <x<3 la < 0 のとき x < 2, 3 <x ato 練習 97 次のxについての2次不等式を解け。 (1)x2-x+α(1-4) <0 (イ) A 3 x a0 のとき 下に凸 4 < 0 のとき 上に凸 となるから場合分けする。 (別解) 両辺をαで割っ て求めることもできる。 (ア) α > 0 のとき (x-2)(x-3) < 0 よって 2<x<3 (イ) α <0 のとき (2) v2 -ax-2a < 0 (x-2)(x-3)>0 よってx<2,3<x 172 題 97 東京書籍

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English Senior High

英検準2級の Eメールのライティングの採点をお願します💦 (画質悪くてすみません)

Name: Class Student number. Eiken Grade Pre-2 Writing Practice, Email Reply 17, October 2024. 準2級 Writing 既存の 「意見論述」 の出題に加え、 「Eメール」 問題を出題 Hi! ●あなたは、外国人の知り合い (Alex) から, Eメールで質問を受け取りました。この質問にわかりやすく普 える返信メールを.に英文で書きなさい。 ●あなたが書く返信メールの中で, AlexのEメール文中の下部について、 あなたがより理解を深めるために、 下のを買う具体的な顔を2つしなさい。 ● あなたが書く返信メールの中でに書く英文の敷の目安は40~50話です。 の外に書かれたものは採点されません。 ●答が Alex のEメールに対応していないと判断された場合は、0点と点されることがあります。 Alex の E メールの内容をよく読んでから答えてください。 ● の下の Best wishes の後にあなたの名前を書く必要はありません。 of you asin boo ①どの時間から歩きはじめるの? INMI Recently, I started working part-time at a convenience store. I feel nervous, because I タイにいない. have never worked before. There are things that I don't understand, so I have to ask a lot of questions. But, my manager is kind and helps me. Do you think there will be more convenience stores in the future? それがね Your friend, Alex レジ tredi Your reply: Hi Alex. Thank you for your email. I am interested in working. By the way, I have two questions for this. Finse, when did you started working? Second. haw lang are you walking every day. your question. I don't think there will be more convenience stores in the future. Because of this, I listen to wanking part-time is very hard in a convenience store. About Best wishes, Grade Pre2 Email reply Content (内容) Coherence & Cohesion (構成) Vocabulary (語彙) Grammar (文法) Answer & reason 2 questions 理由を付けて答える 2つの質問 Links 接続詞 Total /16

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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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