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数学 高校生

四角で囲った部分の解説がわかんないです、教えてください🙇🏻‍♀️🙇🏻‍♀️🙏

1 接線の方程式 3% Check 題 179 平均値の定理の利用2 e*-esi 極限値 lim- を求めよ。 (a あCの宝お要 づ中のボ仕お回 エ→0 x-sinr おとする f(6)- f(a)_ え方 平均値の定理 を利用できないかを考える。le) J口 のT 変宅 ここでは、f(x)=e*, a=sinx, b=x とおくと,f(a)=esinx, f(b)=e* e*-esinxf(b)-f(a) x-sinx b-2 となる。 つまり,与えられた式は④の形になる。 このように平均値の定理を利用するには,f(x) をどのような関数とおくか, a, bをど のような値とするかを考えるとよい。 = f'(c), a<c<b b-a となり、 (6)=()t f(x)=e* とおくと, f(x) は実数全体で連続で,微分可能である。 の y4 y=x 大キ0 として,平均値の定理を用いると, sin ex-e したがxーsinxf(c) sinx 10 x x を満たすcが、x>0 のとき, sinx<c<xに、 お ニSint, x<0 のとき,x<c<sinx に存在する。 f(x)=e* より,Sc)=e° Tcは必とS02-のに ア したがって、 x→0のとき, sinx→0 しい 少なくともてつな芸する) sinx sinx<c<x -=e° x-sinx あ 0( )! 0 00 また, x→0 のとき, sinx→0 い -(+ x<c<sinx ちまり, よって, 上の ex-esinx ラグランジ lim x→0 X-sinx 000 111 -=lime'=e°=1 となるため, x>0 と c→0 これより、一般化したもの x<0 をまとめて考えてい by)る. Focus 平均値の定理の利用 (x)\さ あT 0s)-4+ 関数f(x) をどうおくか, a, bをどのような値にするか考える 0とく0 のときでxと sinxの大小関係が変わっているが、

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英語 高校生

この問題の1.2.3がよく分かりません 教えていただけるとすごいうれしいです

A Story about Names Section 1 ●日本以外の国では姓と名の順序はどうなっているのでしょうか。 Read 本文の内容に合 in English?Do you say your given name first, 1like “Ayaka Sato"? Do you say your family name first ven h (<give) In ma Evervone has a name. How do you say your namo name. (の such as “Sato Ayaka"? In many Western countries, the given name comes Western westarn West we focus 。 individual。 dyu。 In the West, people focus Grar before the family name. In some HE ●「~は…す NATSUIME SOSEKI on “individuals". Ope countries like China, Korea, The giv Japanese Novelist lived here 1901 1902 and Japan, the family name ◆文には主 * comes before the given name. In the East, people focus on ■日重石の下電先を示す種画 East |a) ロンドン) ●「~は(人 "family". So the name order differs from culture to culture. Every Aslecp differ(s) lar) ◆目的語 KeLNishikorn LONDON (AP) conident he will build on a breab through season that saw him reach hi int Grand Slam inal The Japanee reached his firit maj TRY) 意に Nishikn Kas hustoric rum at the アニスの ndad in the final with a straight-snt ie 手 tas Manin Cl l ashing his dream について a Grand Slam ttle 1 l Lurignag) タト Banana Yoshimoto 1. 2, こるつの 3. よしもとばななさんの美訳された本 1. Do most people in the West say the family name first? Q&A 2. What do people in the East focus on? Reac 3. What differs from culture to culture? 第2段 2given name に対する) focus on ~ーにをあてる 例 E family name 陸 from culture to culture 文化によって 4 Such as ~ーのように 12 NAME NooasNYS W

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英語 中学生

①〜⑤の動詞を適切な形に変えなさい。

Unit 5長文問題I Do you ever~) ~することがあ、 か? fall asleep 眠り are scolded とられ。 take naps 仮眠する。 afterward その後 following 次の catching a few 2's うとうとすること 11 Do you ever fall asleep during class? What happens? Perhaps, take naps? How do vou feel afterward? You will be happy o(read) ne following information. Many scientists now say that catching a few z's can improve your performance. (1)You must be so happy to hear this, so let's continue. you are scolded by vour teacher. How about at home? Do you ever Actually, this is important news for (2)people who have jobs that require high levels of concentration. Can you think of such jobs? 2 require ~を必要とれ concentration 集中 surgeon 外科医 on the night shift 夜勤で air traffic controlle 空(交通)管制官 focus on ~ ~に集中け lack of ~の不足 result in ~をもたら get together 協力す experiment 実験する surgeons, hospital staff 。(work) on the night shift, and air traffic controllers are just a few. These people must focus on their Jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. In the United States, a group of scientists got together and experimented on (A)two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked 3 in a row 続けて (do) the same, but they took a short nap after three hours. Results got from these experiments were simple and clear. by now そろそろ Which group had better results? By now, you should know. The second group had much better results. The first group could remember about 45% of the information, but the second group got The scientists decided o(repeat) the close to 70% correct. experiment several times on different people, but the results were always the same. Taking short naps improved people's memories. Sleeping can help improve our performance, but the best way to deal with ® (become) sleepy during the day is to get enough sleep the night before. You may like to sleep in class, but I havea piece of advice for you. Get plenty of sleep the night before. Getting 4 deal with ~ ~に対処する plenty of たくさ enough sleep will give you lots of energy to spend at school. (4) You need energy to learn and play. Lots of learning and playing will give you a good night's sleep.

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英語 中学生

この問題をおねがいします。

Target Unit 3 長文間題I 睡眠がもたらすカ の不定詞 の動名詞 の助動詞 の分詞 6関係代名詞 1 Do you ever fall asleep during class? What happens? Perhaps, Do you ever ~? ~することがあります you are scolded by your teacher. How about at home? Do you ever か? fall asleep 眠り込む are scolded 叱られる take naps 仮眠する afterward その後 following 次の catching a few z's うとうとすること take naps? Hqw do you feel afterward? You will be happy o(read) the following information. Many scientists now say that catching a few z's can improve your performance. (1) You must be so happy to hear this, so let's continue. Actually, this is important news for (2)people who have jobs 2 that require high levels of concentration. Can you think of such require ~を必要とする concentration 集中(力) surgeon 外科医 on the night shift 夜勤で air traffic controller 航 空(交通)管制官 focus on ~ ~に集中(する lack of ~の不足 result in ~をもたらす get together 協力する experiment 実験する jobs? Surgeons, hospital staff e (work) on the night shift, and air traffic controllers are just a few. These people must focus on their jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. 3 In the United States, a group of scientists got together and experimented on two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked in a row 続けて 3 (do) the same, but they took a short nap after three hours. (3) Results got from these experiments were simple and clear. Which group had better results? By now, you should know. The by now そろそろ second group had much better results. The first group could remember about 45% of the information, but the second group got The scientists decided o (repeat) the close to 70% correct. experiment several times on different people, but the results were always the same. Taking short naps improved people's memories. Sleeping can help improve our performance, but the best way to deal with g (become) sleepy during the day is to get enough sleep the night before. You may like to sleep in class, but I havea piece of advice for you. Get plenty of sleep the night before. Getting 4 deal with ~ ~に対処する plenty of たくさん enough sleep will give you lots of energy to spend at school. (4) You need energy to learn and play. Lots of learning and playing will give you a good night's sleep.

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数学 高校生

この問題を解くことはできるのですが、根本的に、どうして交点を通る式をこのようにkを用いて表せるのかがわかりません。解説お願いします。

5 第3章 図形と方程式 Check 例 題 82 交点を通る直線群 *2 2直線 2x-3y+5=0 …D, x+2y-6=0 の交点を通る直のうち,次の条件を満たす直線の方程式を求めよ。 (1) 点(-1, 2)を通る (3) 直線3と垂直 3 と平行 (2) 直線 x+3y+7=0 2直線0, 2の交点の座標を直接求める方法も考えられるが, 計算が大変である。ここでは, 例題 81(p.155) の方法を用いる。 平行条件,垂直条件については, p.148 参照. 考え方 0 解答 実数んを用いて, (2x-3y+5)+k(x+2y-6)=0 とおくと,のは2直線①, ②の交点を通る直線を表す。 (1) 直線のが点(-1, 2) を通るので, 2.(-1)-3-2+5+k(-1+2·2-6)=0 より, のに代入して、 よって、 (2) のを整理すると,(2+k)x+(-3+2k)y+(5-6k)=0 3と5が平行なので,(2+k)·3-(-3+2k)·1=0 より, x=-1, y=2 k=-1 を4に代入 (2x-3y+5)+(-1)·(x+2y-6)=0 x, yについて整 理する。 x-5y+11=0 平行条件 k=-9 ab'-ba'=0 よって,⑤に代入して, (3) 3と5が垂直なので,(2+k)·1+(-3+2k)-3=0 より,k=1 よって,⑤に代入して, 7x+21y-59=0 垂直条件 3x-y-1=0 aa'+bb'=0 Focus 異なる2直線 ax+ by+c=0, a'x+b'y+c'=0 が交わるとき 実数kを用いて, (ax+by+c)+k(a'x+b'y+c')=0 とおくと,(*) は2直線の交点を通る直線を表す (ただし,(*)は直線 a'x+6'y+c'=0 は表さない) 注》2直線の交点は,①, ②より, 点(号,号) 8 17 7 17 -2 7 ソー2= 8 (1) 2直線の交点と点(-1, 2) を通るので, 7+1 (2) ③の傾きは一より、 求める直線の傾きも一なので, yー号=--) (3) 求める直線の傾きは3であるから, yーー=3(x-号) 17 ソー 7 3 3 17 7

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