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数学 中学生

(3)の(-9,0)の座標はどこの座標ですか?

236 ****** [8-11] 右の図のように放物線y=xと直線y=2x+8が2点A,Bで 変わっている。点Pは, y=x上をAからBまで動く。いま、図のよう に平行四辺形APBQを作る。このとき,次の各問に答え (1) 2点A,Bの座標を求めよ。 (2) 原点と点を通る直線がy=2x+8と平行になるとき, 点Qの 座標を求めよ。 MO (3) (2) のとき,平行四辺形の面積を求めよ。 また, 点 (-9, 0) を通り, その面積を2等分する直線の式を求めよ。 また [愛知] _8="(5-) X$_$="1x$$$$ 中 (8.5-767 ...….....................….…..............…........... (1)2点A,Bは放物線y=xと直線y=2x+8との交点なので、 そのx座標は方程式x=2x+8の解として求められるから,x²=2x+8 x=-2,4 (x+2)(x-4)=0 ************* x-2x-8=0 y座標はそれぞれ, (−2)²=4,42=16 MGA MAA SUMAG WENT HOS SĄJA VE よって, A(-2, 4),B(4,16) A 25 AMBAA #50053SSOM TODOMOMOA NOLA (2)平行な直線の傾きは等しいので, OP//AB のとき, 直線OPの傾きは2 よって、 直線OPの式は,y=2x 点Pのx座標は、x=2x x2-2x=0 x(x-2)=0から, x=2 y=22=4 よって, P(2,4) STHEI A(-2,4)なので, APはx軸に平行で, その長さは4である。 したがって, QBもx軸に平行で,長さが4となる。 0-2- B (4,16) だから, 点Qの座標は,Q(0, 16 ) 10-0 1-(-9)=1 よって,y=x+bとおいて, (-9, 0) を代入してbの 値を求めると, b=9 こ したがって,求める直線の式は, y=x+9 1 OMILAG 704 Nas-65MOASE 2 (3) 平行四辺形APBQの面積は, 4× (164)=48 線分ABの中点の座標は, -2 -2+4 4+16\ = (1, 10) JJCM 平行四辺形の面積は対角線の交点を通る直線で2等分 されるので,点(-9, 0) と点 (1,10) を通る直線の式 を求めればよい。 その直線の傾きは, &&TT J-R P [(-)-0) + (-A) 1 Bomb ここがポイント330- 平行四辺形の対角線はそれ ぞれの中点で交わる。 平行四辺形の面積は、 対角 線の交点を通る直線によって 2等分される。

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英語 高校生

高校生 定期試験 問題文 今日あった試験の単語抜き取り問題です。 6.bombs 7.Pavilion 8.canvas 9.livestock 10.Guernica と答えたのですが、採点してほしいです…… 特に10はtragedyと答えてる人が多くて不安です

1. 次の文を読んで、問題に答えなさい。 Okamoto Taro, a Japanese artist, visited the Spanish Pavilion of the 1937 Paris Exposition. When he saw the painting Guernica, he (1)couldn't take his eyes off it. It was painted in black and white. But he felt like it was painted (2). (3) that the painting drew him into its world instantly. This big piece of work, 3.5 m 4 7.8 m, was painted 4 Pablo Picasso, a Spanish artist. (5) Picasso ( 6 ) to France in his (7), he painted it in Paris. He was 56 years old then, but he worked hard and completed it (8) within a month or so. This painting fascinated those who saw it at the Exposition. It became one of Picasso's best- known works among his over 10,000 paintings. Picasso was originally asked to paint something for the Exposition by the Spanish Republican government. However, he had not decided what to paint until he read a shocking newspaper article. According to the article, Guernica, a small town in Spain, was bombed by the Nazis on April 26, 1937. (9) In those days, the Nazis supported General Francisco Franco. He had been ( 10 ) to overthrow the Spanish government. ☆ The bombing started around 4 o'clock in the afternoon. People and livestock at a busy market (11) there ran (12) about, trying to escape from the attack. Many buildings, including a train station, hotels, and restaurants, were demolished. The bombing lasted about three hours, and 50 tons of bombs were dropped. Three-fourths of the town was destroyed, and several hundred people were killed. Picasso was shocked because the bombing was a cruel attack against the public in his home country. In order to protest against it, he decided to make a painting of the bombing. He struggled to paint the tragedy of the bombing. He drew a number of sketches trying to show the sorrow of the people in Guernica. Even after he started painting on a big canvas, he kept changing his ideas. 2133

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