学年

質問の種類

数学 高校生

青チャート数学I+Aの78番、二次関数の対称移動の問題です。 放物線をX軸方向に-I、y軸方向に8だけ平行移動すると書いてあるのに、どうして+I、-8をしているのでしょうか…? 解答お願いします🙏

p.131 vele fo c) 解答 基本例題 78 2次関数の係数決定「平行・対称移動] 放物線y=x2+ax+bを原点に関して対称移動し、更にx軸方向に -1,y 軸方 向に8だけ平行移動すると, 放物線y=-x2+5x+11 が得られるという。この とき,定数a,bの値を求めよ。 基本 75~77 指針 グラフが複数の移動をする問題では, その移動の順序に注意する。 ① 放物線y=x²+ax+bを,条件の通りに原点対称移動→平行移動と順に移 動した放物線の方程式を求める。 2 ① で求めた放物線の方程式がy=-x²+5x+11 と一致することから、 係数に注目 してα,6の方程式を作り,解く。 または、 別解 のように, 複数の移動の結果である放物線y=-x2+5x+11 に注目し, 逆の移動を考えてもよい。 原点対称 原点対称 y=x2+ax+b C₁ Cz これを解いてa=7, 6=3 放物線y=x2+ax+bを原点に関して対称移動した放物線 の方程式は --y=(-x)+α(-x)+6 すなわち y=-x2+ax-b またこの放物線を更にx軸方向に-1,y 軸方向に 8 だ け平行移動した放物線の方程式は y-8=-(x+1)^+α(x+1)-6 すなわち、 y=-x2+(a-2)x+a-b+7 これがy=-x2 +5x+11 と一致するから a-2=5, a-b+7=11_ 軸方向に1, y 軸方向に8 軸方向に1,軸方向に-8 ONSONY 別解 放物線y=-x²+5x+11をx軸方向に1, y 軸方向 に8だけ平行移動した放物線の方程式は y+8=-(x-1)'+5(x-1)+11 すなわち y=-x2+7x-3 この放物線を更に原点に関して対称移動した放物線の 方程式は -y=-(-x)2+7(-x)-3 すなわち これがy=x2+ax+b と一致するから _a=7, y=-x2+5x+11 x-x y-y C1 とおき換える。 xx-(-1) y →y-8 とおき換える。 xの係数と定数項を比較。 b=3VENGEDA 133 YA 0 y=x²+7x+381040-005001+ C₂ C2 anda C3 10.4 3章 2次関数のグラフとそ xの係数と定数項を比較。 x

回答募集中 回答数: 0
TOEIC・英語 大学生・専門学校生・社会人

これの和訳して貰えませんか?

5 Reading Passage 10 15 20 Yuna Kim is one of the world's best figure skaters. At the 2010 Winter Olympics in Vancouver, she set three world records. In fact, one of those world records broke a record she set in 2009. program and a At the Olympics, both male and female skaters perform a short seven program. In the short program, skaters have less than three minutes to perform required jumps, spins, or other moves. While doing these seven things, the skaters also have to show judges how well they can put these elements together into a kind of dance performance on the ice. The long program is similar to the short program except that skaters perform for a longer time and have more required moves. long Before the 2010 Winter Olympics began, many people thought Yuna Kim was likely to win a gold medal. Certainly, there were other women skaters who had the skill to win gold at the Olympics. However, Ms. Kim had an advantage. She had already set a number of world records. In 2007, she set the record for the highest score in a short program with 71.95 points in Japan. The same year she also set the world record for the highest score in a long program with 133.7 points in Russia. Then, in 2009 she beat her own record in the short program by scoring 76.12 in the United States. At that competition, she also became the first woman to score over 200 points with her short and long programs - her combined score was 207.71. The next year at the Winter Olympics in Vancouver, she broke her records again. In the short program, Ms. Kim scored 78.5, a new world record. In the long program, she scored 150.06, another world record. This gave her a combined total of 228.56 points, a third world record! Needless to say, her score was enough to win gold.

回答募集中 回答数: 0
TOEIC・英語 大学生・専門学校生・社会人

8番ですが、本文の内容に合っているか合っていないか、どちらにもとれそうで迷っています。 教えていただきたいです。

20 D 007 feel guilty about eating so much. People tease me for being fat and I pretend it Hello Sarah) I've put on a lot of weight recently. I make myself sick when I doesn't bother me, but I cry myself to sleep. My family says nasty things about my size, too. Please help me lose weight. 5 15歳の女の子の悩みの相 Barbara, 15 Sarah says: Hello, Barbara. Please try to stop making yourself sick. Beauty comes from within and in all shapes and sizes. The main thing is to be healthy. This can be done through your diet and by exercising. (It's unkind of your family to tease but pl" t ↳ To Tease 10 maybe they don't know that it upsets you So tell them how you feel. Ask your mom to help you follow a healthy, low-fat diet. Cut back on potato chips, cakes and sweets. Why not take up swimming or jogging? By eating healthily and exercising, your body will naturally reach a healthy weight. Don't skip meals, go on a crash diet, or make yourself sick. You may damage your body 15 if it doesn't receive the right nutrients. If you can't talk to your mom, your doctor will help. If you are unable to stop making yourself sick, call the Eating Disorder Association Helpline. Eating Disorder Association Helpline 01603765 050 Monday-Friday, between 4 p.m. and 6 p.m. Email: eda@netcom.co.uk

回答募集中 回答数: 0
英語 高校生

英語の文法についての質問です。 一枚目と二枚目の緑の蛍光ペンを引いたところなんですが合っているかどうか確認していただきたいです。 三枚目にさんこう資料を載せてあります。 お願いします🙇‍♂️

CUTTING EDGE 1-03 英語の変遷 言語に関する面白いことの1つはそれが時とともに変化していくさまである名A (1) One interesting thing about languages is the way that they change over time. In English, everything from spelling to vocabulary 熟を経験する to ①pronunciation has ②gone through major changes over centuries. In fact, to a modern speaker, the English of 1,000 years ago is like a foreign language! 熱にさかのぼる 当時、 The history of English ③dates back around 1,500 years. (2) At ヨーロッパの複数の集団がイランドeans ④inaded England, bringing their that time, groups of Europeans 副詞M 一面に侵入する。 languages with them. These ⑤gradually developed into Old English. だんだんと. Later, in_1066, England was invaded by the Normans, from France. これによってその言語に重要な変化がもたらされ、今日我々が中英語と呼ばれる (3) This caused the language [go] through an important shift, leading to 関係詞ものになった。 続く500年以上の間、その言語は what we now call Middle English. (4)Over the next 500 years, the さらなる変化を経て最終的に近代英語へと変化した。結局は 回進化する language ⑥underwent ⑦ further shifts, ⑧eventually Devolving into ~続する 脳されんだ 英語が現在に至るまで発展する間に Modern English [evolvingの用法】 (5) As the language has developed 「接続」 多くのことが変化した down to the present day, many things about it have changed. 明白な Pronunciation is one of the most obvious areas of change. For example, in Old English, people said “hus” and “mus.” Now we say 最近では、アメリカ、イギリス、オーストラリア、そして他の地域での "house" and "mouse." (6)These days, there are also many differences 英語の発音の名Aしかたにも効くの違いがある。 in the way that English is pronounced in the USA, the UK, Australia. どこかその他の所で、 and Welsewhere. When people who speak the same language live in BE AE places separated by great 12distances, the language undergoes 13rapid changes in each place. 囲急速な Spelling has also gone thorough interesting changes. For example, in Old English, people wrote "riht." A "g" was added in Middle English, making the spelling "right." Also, in the ④4 distant 18世紀および past, people did not always follow standards of spelling. (7) In the 18th 学者のような学者たちが辞書を著し、英語のつづりをより 19世紀に(アヴェブスター and 19th centuries, scholars like Noah Webster wrote dictionaries 形一貫性のあるものにした。 FRED 貫した that made English spelling more 1⑥6 consistent. But different standards were decided on in England and the USA, so some differences remain - for example, "color" vs. “colour.”

回答募集中 回答数: 0
英語 高校生

raise2英語総合問題を使っている方に質問です。 Lesson8(p34〜37)と別冊ノートp19の答えを見せていただけないでしょうか。

Lesson 8 受動態 >pkeeper [Jap ki:pir| impressed with... ...に感動する CAN-DO リスト Reading Grammar Expression Listening Speaking /12 /14 /47 /21 48 Reading 【速読 問題 次の英文を3分で読んで、1.の問いに答えなさい。sainte A few years ago,/a 43-year-old shopkeeper named Rajesh Kumar/visited the construction site of a railway station/in New Delhi.//He saw many children/who were playing at the site/instead of studying at school.//He thought/he had to do something/to help those poor children.//He decided to create a special 5 classroom for them.//He said,/"We didn't have much,/so I started teaching them under a bridge/ (2) with the things I could use."// In this way,/his special open-air classroom was born/under the bridge of the Delhi railway system.//A train passes above the classroom every few minutes,/ but the noises are not a problem for the children. //There are no chairs or desks/ and the children sit on the ground. //The walls are painted black/and used for blackboards.// 口 平易な英語で /6 Rajesh has tried hard/to teach the poor children under the bridge.//More and/ more people are impressed with his volunteer work.// (3) Through the kindness of people in the community,/the poor children are given (4) many things. //They are iven not only books and pens but clothes and shoes.//One kind person even ends a bag full of biscuits and fruit juice/for the students every day. //Children me to the classroom for many reasons.// (s) This is one of them. // Rajesh says, / "I hope/that future generations will learn something.//Then/we ll have a better world."// 『New Delhi [n(ja:deli] ニューデリー (インドの首都) U-3420 Total /100 'open-air 戸外 [野外] の (232 words) O 1. Rajesh Kumar の学校の様子を表すものを、 次の ① ~ ④ から選びなさい。 (5点) 232語 x60= 3. 下線部(2)の具体例を一つ, 日本語で説明しなさい。 (5点) 【精読 問題もう一度英文を読んで, 2.7.の問いに答えなさい。 2. 下線部 (1) の those poor children とは具体的にはどのような子どもたちですか。 日本語で 説明しなさい。 (6点) wpm 6.下線部(5), This と them の指すものを明らかにして, 和訳しなさい。 (7点) 文法 4. 下線部(3)の Through とほぼ同じ意味の through を含む文を,次の ① ~ ④ から選びなさい。 She has just got through high school when her father died. (4) 2 The rain lasted all through the night. 3 They drove through the tunnel under the mountain. 4 Tom succeeded through hard work. 5. 下線部(4) の many things について, 本文中に挙げられている6つのものを日本語で答えな さい。 (各2点) 7. Which of the following are true? (You may choose more than one option.) (8) 実践問題 Rajesh Kumar was a construction worker at the construction site of a railway station. 2 Many children were playing at the site after school. 3 Rajesh started teaching the poor children under the bridge. 4 The noises from the passing trains did not prevent the children from studying. 5 People in the community helped Rajesh and the children. 6 Without a bag full of biscuits and fruit juice, the children would not. have come to Rajesh's classroom.

回答募集中 回答数: 0