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English Junior High

②に「used」が入ります。 〜されるだから過去分詞になるのは分かるのですが、be動詞は要らないのでしょうか??

Tlearned about Katsushika Hokusai. in them and began to draw the same patterns. After that, I also found an interesting book about drawings. It was written by Katsushika Hokusai, a very famous artist who made many wanted to show her other patterns drawn with some circles. When I was looking for n the Internet, I found some beautiful patterns and showed them to her. She got interested winter vacation, she began to draw circles on a piece of paper with a compass. ; she learned how to drawa circle with a compass at school. One day in Hello, everyone. Do you like to draw pictures? I am a member of the art cub, and I like to do that. I have a sister and she is nine years old now. 大阪府(一般入学者選抜) (2018年)-19 Last Jear; beautiful pattern with a combination of circles and 。fower. When she showed it to me, she looked happy. So, I trying to draw a She was it looked a pattern (模様) On them 2 a Japanese prints ukayoe. Today, I will talk about the book and some other things that D。 vou know that Katsushika Hokusai used rulers and ompasses when he drew some pictures? According to him, it is nOssible to draw pictures of everything with rulers and compasses. In the book I found, ways to draw things with rulers and compasses are shown. Please look at this picture. It shows two drawings in the book. The right one is a drawing of ョ bird. The left one shows the outline of the bird. We can see drawings in the book written by Katsushika Hokusai ome words beside those drawings. Although I cannot read them, ら ャ てうをく

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Mathematics Senior High

数学Ⅱ青チャートの問題です。黒枠で囲っている回答の参考のマーカーで引かれ部分についてです。このようになる理由を教えてください。(1)のみで大丈夫です。

里安例題T02 放物線と円の共有点 接点 放物線y=x°+aと円x+y?=9 について,次のものを求めよ。 (1) この放物線と円が接するとき, 定数aの値 (2) 異なる4個の交点をもつような定数aの値の範囲 基本 95 指針>放物線と円の共有点についても,これまで学習した方針 共有点→実数解 で考えればよい。 この問題では,xを消去して、yの2次方程式(yーa)+y°=9の美然 解,重解を考える。放物線の頂点は v軸上にあることにも注意。 (1) 放物線と円が 接する とは、円と放物線が共通の接線をもつこと である。この問題では、右の図のように.2点で接する場合と1点 で接する場合がある。 (2) 放物線を上下に動かし、 (1)の結果も利用して条件を満たすaの値の範囲を見極める。 接点→重解 1点で 接する ct 2点で接する 解答 (1) y=x°+aから これをx°+y?=9に代入して <xを消去すると, yの2次 方程式が導かれる。 x=y-a (y-a)+y?=9 よって y+yーa-9=0 x=9-y20 ゆえに -3<yハ3 ここで,x°+y°=9から [1] 放物線と円が2点で接 する場合 2次方程式Oは②の範囲 にある重解をもつ。 よって, ①の判別式をD 37 4 a=-3 a=3 a= ツ 3| 3 3- 13 x 0 /3 x 0 -3(0 J3 -3 とすると D=0 37 D=1°-4-1-(-a-9) 4 =4a+37 た吹の 37 であるから 4a+37=0 すなわち a=ー 4 る。ああアら (2次方程式 このとき, ①の解は y=-号となり, ② を満たす。 ニー- py°+qy+r=0の重解は [2] 放物線と円が1点で接する場合 図から,点(0, 3), (0, -3) で接する場合で 9 ソ=ー 2p a=±3 頂点のy座標に注目。 以上から,求めるaの値は 37 土3 4 a=ー (2) 放物線と円が4個の共有点をもつのは, 右の図から, 放物 線の頂点 (0, a) が, 点(0, ー)から点(0, -3)を結ぶ線 37 分上(端点を除く)にあるときである。 -310 37 くa<-3 したがって 一

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English Senior High

2011年北海道大学の英作文の添削をおねがいします。questionCです。 字数が足りていませんが、それ以外の部分をおねがいします。

Australia, the United States, and urban India. Rend the following passage and answer questions A through C in English. while their wives work outside the home, Stay-at-home dads are also called stay- Stay-at-home dads are married fathers with children who care for their family domestic burden has led some couples to completely reverse their roles. The number of stay-at-home dads is starting to increase in Britain, Canada, 「husband who can do the housework, such as shopping, cooking, and looking alter the children. The widespread expectation that men should share the vin England showed that 75 percent of women in their twenties prefer a 38 on were breadwinners and women were caregivers. Arecent Traditionally, Survey can Many stay-at-home dads take great pleasure in showing affection to their children. Their wives can pursue careers without worrying about teaching family values or paying for child care. Research suggests that children of stay- athome dads often benefit from strong bonds with both parents, whereas the father's role ina stay-at-home mom household is less influential. Although the number of stay-at-home dads is increasing, it remains small Compared to the total number of fathers. In the United States, the government estimates that in 2009 there were 158,000 stay-at-home dads, a mere 0.2 percent of 67.8 million fathers. In Australia, about 1 percent of fathers are stay-at-home dads. In urban India, one estimate suggests 3 percent of fathers stay at home full-time. Some stay-at-home dads suffer from social stigma. Many people, including stay-at-home moms, do not understand why a man would choose to give up his career to care for his family full-time. Being a stay-at-home dad can also be career suicide. Many employers view stay-at-home dads as lacking ambition and commitment. Losing professional skills may prevent stay-at-home dads from returning to the workforce.

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