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英語 高校生

対数関数の問題です。 194例題についてですが、最後実数解の個数が3個4個になっている理由がわかりません。y=aとy=-t2+2tの共有点の個数=実数解の個数だと思っていたのですが、

000 演習 例題 194 対数方程式の解の個数 の解をも 本女子大] 基本173 なるとの る。 よい。 00000 aは定数とする。 xの方程式{log2(x2+√2)}-210g2(x2+√2) +α=0 の実数 解の個数を求めよ。 指針 前ページの演習例題 193 同様, おき換えにより, 2次方程式の問題に直す。 変数のおき換え 範囲に注意 log2(x+√2)=t とおくと, 方程式は t2-2t+α=0 ...... (*) 基本183 22 から, tの値の範囲を求め, その範囲におけるtの方程式 (*)の解の個 数を調べる。 それには, p.239 重要例題 149 と同様, グラフを利用する。 なお、10g2(x2+√2)=t における x と tの対応に注意する。 log2(x2+√2)=t t2-2t+α=0 ① とおくと, 方程式は より,x2+√√2 であるから log2(x2+√2) log2√2 y=f(t) したがって ② また、①を満たすx の個数は,次のようになる。 = 1/12 のとき x=0の1個, 311 20 t -2)²+5a-10 11/23のときx>0であるから -2t+α=0から 2個 -t2+2t=a x2+√22より x=2√2 であるから 1/1/2のとき x=0 t= 11/21のときx>0 よってx=±√2-√2 y↑ よって、②の範囲における, 1 放物線y=-t+ 2t と直線y=a 3-- y=a <直線y=α を上下に動か 4 の共有点の座標に注意して, a して共有点の個数を調 べる。 方程式の実数解の個数を調べると, 01 1 32 t 2 2 a>1のとき0個; 5a+6 3 a=1, a<- のとき2個; 共有点なし。 11/23 である共有点1個 3 る。 4 a=2のとき3個; 3 <a<1のとき4個 2 11/23 である共有点2個。 つの実数解をも a. 6は定数とする。 xの方程式 (10g2(x2) -alog2(x+1)+a+b= 0 が異なる 2つの実数解をもつような点 (a, b) 全体のを,座標平面上に図示せよ。 p.312 EX 125 5章 33 関連発展問題 城 に

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英語 高校生

ここの答えを全て教えてほしいです🙇‍♀️

2. Look! Miki (plays / is playing) the piano on stage. )内から適切な語(句)を選び,文を完成させて言いましょう。 OUA . I(go/ am going ) jogging with my dog every morning. 。 Last night Eric ( falls / fell ) asleep while he ( read/was reading)a book. Bric and I ( go/ went) fishing yesterday, but ( caught /were catching) nothing at all. algoo! B 日本語の意味に合うように,( )内の語(句)を並べかえて言いましょう。 am Jaerg vlleer 1. 私は週に数回ジョギングをします。 I(a week / several / jog / times). by the Meys 2. 何人かの生徒がプールで泳いでいます。 Some (swimming / students /are/in)the pool. 3. 私が教室に入ったとき, 悠真は自分の席で寝ていました。 Yuma ( at / desk / his/ sleeping / was) when I came into the classroom. 4. 昨日,私の父は最終電車に乗り遅れました。 Yesterday my father ( the / missed / train / last ).ovfad Chere. jaivaG ild5a C 日本語の意味に合うように, ( )内に適切な語を入れて言いましょう。 hope the 1. ベンはサーフィンが好きで, 週末はいつもビーチに行きます。 Ben( ) surfing and always ( ) to the beach on weekends. 2. 私の兄は大学で経済学を学んでいます。 My brother ( ) economics at college. 3. 朝の7時頃, 私は駅へ歩いていました。 ) to the station at around seven in the morning. .私は駅に着いたとき, すべって(slip)転んでしまいました。 When I got to the station, I ( ) and ( ). oat2 Step Up 例)を参考に,英語で表現しましょう。 ot あな

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英語 高校生

NEO 現代を読む standard ユニット7について、和訳をお願いします。

The Ancient Egyptians used a writing system called hieroglyphs*. It is a very good system Unit 7 |423 words / 中央大 - Language - of writing and was used in Egypt for almost four thousand years. (1)This means th hieroglyphs were being read and written for longer than the Roman alphabet has been. The. only stopped being used when Egypt became a Christian country and its people stopped 5 worshipping the Egyptian gods. |2 Centuries later, people were puzzled about how to read hieroglyphs. They thought that the hieroglyphs must be pictures of ideas and things and not an alphabet. There were about 750 hieroglyphic* symbols in use during most of the period of the ancient Egyptian civilization. This is far fewer than the 85,568 Chinese characters contained in the 1994 Zhonghua Zihai 10 Chinese dictionary. So, 750 hieroglyphs would seem to be too few to be pictures of all the things that humans need to describe%; but, at the same time, far too many to be an alphabet - only requires 26 letters to make all its words. 3 The answer is that hieroglyphs are ( 2a ) an alphabet ( 2b )a system of pictures. It is as if Japanese hiragana and kanji were combined in one system. The basic Egyptian alphabet consists 15 of twenty-four letters. Vowels* were not written. If this is done in English, it looks like this: (3)Ths hs n vwls'. This may seem difficult to read in a foreign language, but for native speakers, it is fairly easy (most people who send text messages between mobile phones take out vowels to make the words shorter). |4 In many ways, the Egyptian hieroglyphs are surprisingly similar to Japanese. Both systems 20 can be written in either vertical or horizontal lines and they can also be written either from right to left or left to right. With hieroglyphs, (ait is easy to tell whether they should be read from the right or left because many of them can be turned to face the direction they should be read from. Hieroglyphs, like Japanese kanji, were a form of art. Also like kanji, there are no ( 5a ) between the words-whidh are so helpful for understanding English. (sbIfwemissoutthespacesinEnglish, 25 itisratherdifficulttoread! Some words were written using the alphabet, some with just one hieroglyph.(6)'Sun', for example, was written with two circles, one inside the other. As with Japanese, it also means 'day'. 5 Hieroglyphs look to most people like an impossibly difficult system derstand. In truth, they are one of the most practical and beautiful writing systems ever created, combining 30 the advantages of kanji with the advantages of an alphabet system. hieroglyph:ヒエログリフ(古代工ジブトの聖刻文字) hieroglyphic : ヒエログリフの vowel:母音 18

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英語 高校生

NEO 現代を読む standard ユニット7について、和訳をお願いします。

1 The Ancient Egyptians used a writing system called hieroglyphs*. It is a very good system of writing and was used in Egypt for almost four thousand years. (1)This means that Unit 7 | 423 words / 中央大 - Language - hieroglyphs were being read and written for longer than the Roman alphabet has been. Th. only stopped being used when Egypt became a Christian country and its people stopper 5 worshipping the Egyptian gods. |2 Centuries later, people were puzzled about how to read hieroglyphs. They thought that the hieroglyphs must be pictures of ideas and things and not an alphabet. There were about 750 gyptian civilization. hieroglyphic* symbols in use during most of the period of the ancient This is far fewer than the 85,568 Chinese characters contained in the 1994 Zhonghua Zihai 10 Chinese dictionary. So, 750 hieroglyphs would seem to be too few to be pictures of all the things that humans need to describe; but, at the same time, far too many to be an alphabet - English only requires 26 letters to make all its words. 3 The answer is that hieroglyphs are ( 2a ) an alphabet ( 2b ) a system of pictures. It is as if Japanese hiragana and kanji were combined in one system. The basic Egyptian alphabet consists 15 of twenty-four letters. Vowels* were not written. If this is done in English, it looks like this: (3)Ths hs n vwls'. This may seem difficult to read in a foreign language, but for native speakers, it is fairly easy (most people who send text messages between mobile phones take out vowels to make the words shorter). In many ways, the Egyptian hieroglyphs are surprisingly similar to Japanese. Both systems 20 can be written in either vertical or horizontal lines and they can also be written either from right 4 to left or left to right. With hieroglyphs, (4)it is easy to tell whether they should be read from the right or left because many of them can be turned to face the direction they should be read from. Hieroglyphs, like Japanese kanji, were a form of art. Also like kanji, there are no ( 5a ) between the words - which are so helpful for understanding English. (5b)IfwemissoutthespacesinEnglish, 25 itisratherdifficulttoread! Some words were written using the alphabet, some with just one hieroglyph. (6YSun', for example, was written with two circles, one inside the other. Aswith Japanese, it also means 'day'. [5 Hieroglyphs look to most people like an impossibly difficult system tounderstand. In truth, they are one of the most practical and beautiful writing systems ever created, combining 30 the advantages of kanji with the advantages of an alphabet system. hieroglyph:ヒエログリフ(古代エジブトの聖刻文字) hieroglyphic: ヒエログリフの vowel:母音 18

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