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Mathematics Senior High

至急お願いいたします🤲 黄チャートの問題です! ⑵で頂点の座標が(p .2p-1)とわかるのは何故ですか?解説お願いいたします🥺

基本例題 70 放物線の 次の条件を満たす放物線の方程式を,それぞれ求めよ。 (1) 放物線y=2x² を平行移動した曲線で、2点 (1, -1),(2,0) を通る。 (2) 放物線y=-x2+2x+1 を平行移動した曲線で, 原点を通り,頂点が直 9 線 y=2x-1 上にある。 CHART & SOLUTION 放物線の平行移動 平行移動によってx^²の係数は不変 x2の係数はそのままで,問題の条件により、基本形または一般形を利用する。 (1) 移動後の頂点や軸が与えられていないから、 一般形からスタート。 平行移動してもx²の係数は変わらず2である。 (2)頂点に関する条件が与えられているから、基本形からスタート。 頂点(p,g)が直線y=2x-1 上にある⇔g=2p-1 これを解いて 6=-5,c=2 よって, 求める方程式は y=2x²-5x+2 解答 らないから,一般形で (1) 求める放物線の方程式を y=2x2+bx+cとする。頂点や軸の位置はわか 放物線が2点 (1,-1), (20) を通るから 考える。 b+c=-3, 26+c=-8 (2) 求める放物線の頂点が直線y=2x-1 上にあるから, 頂点の座標は (p, 2p-1) と表される。 よって,求める方程式は y=−(x−p)²+2p−10. と表される。 放物線が原点(0, 0) を通るから 一 0=-(0-p)2+2p - 1 すなわち p22p+1=0 (p-1)²=0 これを解いて p=1 ゆえに よって, 求める方程式は 基本 68.69 y=-(x-1)2+1 (y=-x2+2x でもよい) 1943 , 0) infx軸との交点 (2,0 が含まれているので,分解 成立形y=2(x-2)(x-B)から スタートしてもよい。 19 頂点の座標を利用する から、基本形で考える。 sea R inf. (1) l£ y=2(x− p)²+q, (2)はy=-x2+bx として 問題の条件から、 未知数 g, bを求めることもできる。 Ped nce

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English Junior High

⑴がわからないです!よかったら教えてください💦 長文読解のコツとかもあったら教えてくれると嬉しいです✨

次の英文を読んで、あとの問いに答えなさい。 <千葉日大第一改 J.K.Rowling is the author of the Harry Potter books. J.K.'s name is *Joanne Kathleen. She was born in 1965 in a small town near *Bristol, England. Joanne lived with her parents and her sister. The Rowling family was not rich. Joanne did not go to special schools. ( 1 ) She loved to read and write stories. Joanne went to *Exeter University, and she graduated in 1987. After graduation, she moved to London and worked there at different office jobs. In her free time, she wrote stories. In 1990, Joanne's mother died, and she was sad. ( 2 ) She saw an *ad in the newspaper for a job as an English teacher. The job was in *Portugal. She had an *interview, and she got the job. In Portugal, Joanne married a Portuguese man. The next year, Joanne had a daughter, but she was not happy in her marriage. She left Portugal with her daughter and went to live in *Edinburgh, Scotland, near her sister. Life was very difficult for Joanne. She took care of her daughter. She was alone, and nobody helped her. She had no money and no job. Then one day, on a train, she thought about the Harry Potter story. She began to write that story. Joanne liked to go to a coffee shop to write. (3) She drank coffee and wrote. Her daughter slept beside her. After five years, Joanne finished writing the first Harry Potter book. She sent it to many book publishers. ( 4 ) Finally, a publisher liked it, but the publisher said, “This is a children's book. Adults won't read it. You won't make a lot of money." In 1997, Joanne's dream to publish her book came true: Harry Potter and the Sorcerer's Stone was in the bookstores. Children and their parents loved the book, and it became famous all over the world. Now Harry Potter is in sixty-five languages. The publisher was wrong about one thing: Everyone loves Harry Potter children and adults. Over 100 million books were sold in 1999. Then two Harry Potter books became popular movies. J.K.Rowling wrote four more Harry Potter books after that. All those books became movies, too! On January 11, 2007, J.K.Rowling finished her seventh and last Harry Potter book. She will continue to write, but not Harry Potter books. The question is, what will people do without Harry Potter? 注 Joanne Kathleen ジョアン キャスリーン(人名) Bristol ブリストル Exeter University エクスター大学 ad Portugal ポルトガル (国名) interview Edinburgh エディンバラ (地名) (1) ①~④の( に適するものを,ア~エから1つずつ選び,記号で答えなさい。 She sat there for many hours. 7 She wanted to leave England. They said that they didn't like it. 詞 (3) (2) 本文の内容にも I She was a quiet child. D( ) @ ( ) 3( ) 4( )

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