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数学 高校生

この問題ってなんで判別式が0以上なんですか

4組 17番 休:46 技: 40 家:- 80 S 本 例題 49 2次方程式の解の存在範囲 (2) xについての2次方程式x (a-1)x+a+6=0 が次のような解をもつ な実数αの値の範囲をそれぞれ求めよ。 (1) 2つの解がともに2以上である。 (2) 1つの解は2より大きく, 他の解は2より小さい。 ブルンジ プションプラ ~45 技46 家 : 40 CHART & SOLUTION 実数解 α, β と実数kの大小 α-k, β-k の符号から考える (1) 2以上と2を含むから、等号が入ることに注意する。 az2, B≥2 ⇒ (a-2)+(B-2)≥0, (a−2)(B-2) ≥0) (2) α<2<β またはB<2<a (a−2)(B-2)<0 解答 x-(a-1)x+a+6=0 の2つの解をα,βとし,判別式を Dとすると D={-(a-1)}-4(a+6)=a²-6a-23 解と係数の関係により a+B=a-1, aß=a+6 (1) α≧2,β≧2 であるための条件は,次の ①,②,③ が同 時に成り立つことである。 D≧0 (a-2)+(B-2) ≥0 (a-2)(8-2)≥0 PRACTICE ①から a²-6a-23≥0 ゆえに ②から at β-40 よって a≧5.. 5 ③から aβ-2(a+β)+4≧0 ゆえに a+6−2(a-1)+4≧ 0 よって a≦12 ... ⑥ ④,⑤,⑥ の共通範囲を求めて 3+4√2 ≤a≤12 a≦3-4√2,3+4√2≦a ゆえに (2) α <2<β または β<2<αであるための条 件は (a-2)(8-2)<0 よって α+6−2(a-1)+4<0 103 ② p.76 基本事項 51 4 (a-1)-4≥0 3-4√2 これを解いて a>12 重要 例題 50 4x²+7xy-2y²-5 定数kの値を定め f(2) CHART & TH 2次式の因数分解 「x,yの1次式の積 されるということ (与式)=0 とおい inf. 2次関数 |f(x)=x²-(a-1) のグラフを利用する (1) D≧0, 2 (軸の位置) ¥2, ƒ(2) ≥0 と、与式は x 数がx,yの1次 きである。 それは AT [解 O (与式)=0 とお 4x2+(7y- の判別式をD1 D = (7y- 与式がxとy 解がyの1次 となることで 81y²-198y+ D2 5 3+4/2 このとき,D> 立っている。 (p.754 ME ==(- =81 (2) ƒ(2) <0 D2=0 とな (p.765 補足 参このとき, ①の解は x= すなわち ゆえに P RACT

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英語 高校生

至急、解答を教えていただきたいです!! 比較級を使った慣用表現です よろしくお願いします🙇🏻‍♀️

24. Light can travel ( 光は何よりも速く伝わる。 Practice 1 ( )内から適切なほうを選びなさい。 回 1. The older you grow, (the wiser / more wise) you become. 2. The princess became ( better and better / more and more) attractive. 3. Beth studies the hardest (in / of) us all. 4. She is one of the most successful ( designer / designers) in the world. 5. I think this question is (very / by far ) the most difficult of the five. 6. This shrine is the (three / third) oldest building in this town. Practice 2 1. Honshu is 2. Mickey Mouse is 3. Diamond is 4. No other book is 5. No other desert in the world is 6. No one in my family goes to bed 1. 1. (a) The cheetah runs ( (b) The cheetah runs faster ( 2. (a) He thinks time is ( (b) He thinks nothing is ( 3. (a) John ( (b) ( Practice 4 [ ]内の語を適切な形にして, 最上級の意味を表す英文を完成させなさい。 BC island in Japan. [big] character in the world. [famous ] Practice 3 絵に合うように、英文を完成させなさい。 C 37.87km* )( 日本 ) ( ) ( 1. Japan is ( 2. Germany is ( 3. Australia is about ( )( )( )( )( )( (35.7万km²) )( any other mineral. [hard] 絵に合うように、英文を完成させなさい。 総合 )( )( to me than the Harry Potter series. [interesting ] as the Sahara Desert. [large] than my sister. [early] Ty ) of all animals. )( ) precious thing. ) as time. ) than any other student in the class. ) in the class is as smart as John. 769.255 km² )( オーストラリア ) as Germany. ) Australia. 3 ) as large as Japan. John ) animal.

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英語 高校生

WORLDTALK2のLesson8Part3とPart4の右側のページGet the GistとPracticeを、教えてくれませんか??

***** Get the Gist ①英文を聞いて文を完成しなさい。 ② その文が本文に一致していればTを, 誤っていればFを○で囲みなさい。 1070 1. The graduate students thought developing humanoid robots would ad to be useful for (01) (153 1) 1.6 ofu 2. The humanoid robot Takayuki's team created ( T/F ) (iv) in all other countries. 2015 enw 3. Halluc II is an innovative robot that can () ( T/F direction. LUSTASSUJUNEDASSH 「◆「~した後」 「~したので」 などの意味を表します。 Having finished his work, he went out for dinner. moitemtolai gaibranibabanoona ont of The is how she beglad glassny i Grammar 完了形の分詞構文 10W duidzi oflift wol ●「(以前に,それまで) ~したので,…..」=having + 過去分詞,S+V 23 Having worked with them for a while, he realized they each had しばらくの間彼らとともに働いたので recent wire their own specialty. of in Never having been there before, I couldn't find the building. 10 400 alid toqpd bloyaleT Lesson8 1109 Halluc IIの最新版 Halluc ) any 00 Ilx(ハルクツー・カイ) 主節の時制よりも 以前のことや、完了形の 意味合いを表すよ。 bumotà es teulasvil id ai olgong Practice [ ]内の語句を並べかえて、英文を完成しなさい。 (文頭にくる語も小文字で示してある。) 1.[read/the book / having ] I knew the story of the movie. 2. [ my wallet / lost / having ] in the train, I had to borrow some money to return home. 3. [ failed / in the exam harder. Mk.5は人工知能を搭載した小型 の二足歩行ロボット。 世界で初め て人間のようにスムーズで安定し た歩行を実現した T/F 1.8 having ] before, she decided she would study 00 111

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英語 高校生

コミニケーション英語2 Lesson7 Section1 下のQuestion Anser Practiceの解説が知りたいです!

Communication English II Lesson 7 Encouraging Song Section 1&2 Reading Passage Section 1 There are many songs that help people overcome sadness or troubles. Makenaide may be one of them. This song has been encouraging many people for a long time. The lyrics of Makenaide were written by Sakai Izumi, the vocalist of ZARD. It became a hit in 1993. The following year, it was adopted as the theme song for the National High School Baseball Invitational Tournament. Some schools have also been using this song for graduation ceremonies. When the Great Hanshin-Awaji Earthquake occurred in 1995, this song was often aired. Many people were able to recover their spirits by listening to it. The song also cheered people up after the Great East Japan Earthquake in 2011. Unfortunately, Sakai passed away in 2007. However, this song is still popular today. Section 2 What makes this song so attractive? The answer may be in its lyrics. The song has a message of hope for everyone. Let's take a look at the first refrain. Sakai left a piece of paper on which she wrote the lyrics. It shows that she changed a part of them. She replaced the words "Don't stop until the end" with "Keep on running until the end". She may have thought that this sounded more positive. Handout Reading No.15 Text p.94-97 She changed this part while she was actually recording the song. "Which words communicate better?" was the question she always had in her mind. She always searched for words that would encourage people. Don't give up! Just a little farther 負けないで もうすこし Keep on running until the end 最後まで走りぬけて Even though we may be apart どんなに離れてても I'll stand by you with all my heart 心はそばにいるわ Follow the dream you'll catch in the end 追いかけてはるかな夢を 1. Question-Answering Practice Section 1 1. Who wrote the lyrics of Makenaide? The lyrics of Makeneide were written 2. What have some schools been using Makenaide for Sakai Izumi 3. Is Makenaide still popular today? song is still popular today. Section 2 1. What did Sakai leave? 2. Which words did she choose, "Don't stop" or "Keep on running"? She 3. What question did she always have in her mind?

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