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Mathematics Junior High

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⑥ 右の図のように,平面上に平行な2つの数直線l, m と 定点Mがある。 直線上の数α と直線m上の数とが点M を通る直線上にあって対応していて, a =4 のとき b = 10, α=7のとき b = 4 である。 (1) ba の式で表せ。 (2)αの変域が-10≦a≦50 のとき, b の変域を求めよ。 7 右の図のように、 2つのグラフ 3 y= =2x+6 y=- 1 4 x-2 X YA A q BA O 7 YA O P M, D m 10 がある。 2点B, D は ①,②とx軸との交点,2 点A,Cは①,②とy軸との交点である。 (1) 2点A, D を通る直線の式を求めよ。 (2) 点AとD,BとCを結んで、 四角形ABCD をつくる。 辺DCの延長上, すなわちy軸の左側に点Eをとり, △AED の面積が四角形 ABCDの面積 に等しくなるようにする。 このとき, 点Eの座標を求めよ。 I 8 右の図は直線y=2x+1 のグラフである。 点 Pが原点Oから矢印の向きにx軸上を動くとき, 点Pを通りy軸と平行な直線と直線y=2x+1 との交点をQとし, PQを1辺とする正方形 PQRS を図のようにつくる。 (1) 点Pのx座標が2のとき, 点 R の座標を求 めよ。 (2) 点Sのx座標が10のとき, 点Qの座標を求めよ。 (3) 点Pが原点から点(7,0)まで動くとき, 点 R はある直線上を動く。こ の直線の式,およびxの変域を求めよ。 S X

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English Junior High

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Unit 4 長文問題 もしも時間を戻せたら? 1 ) able to change the past? If you Do you ever wish you (1) had (2) that ability, maybe you would spend more time practicing soccer, learn the instrument that you always wanted to play, study harder for that big test, or try to save more money for the future. 2 What would you do if you had the ability to turn back the clock? This was a question which Mr. Woodall, a high school teacher in Philadelphia, asked his students. Mr. Woodall wanted to know what was important to his students but was pleasantly surprised to see the results. I think their answers will be very interesting to you, too. (3) 3 Mr. Woodall expected to see answers (which were connected to the own good of the students, but he was wrong. The majority of the answers (5)which he received from his students were for the good of others. 4 Targ ①関係 2157 (4) A very common answer he found was, “If I could turn back the clock, I would take back some things that I said to a friend." Apparently, many of the students regretted saying something (5) friends and wanted to change that. Surprisingly, close to 40% of the students answered this way. ) hurt their 5 Another common answer was about pets. "If I were able to turn back the clock, I would spend more time with my dog," or "(7)I would be nicer to my cat," were some common answers. Almost 25% of the students missed their pet very much and wanted to show more love. These pets included dogs, cats, birds, rabbits and other animals. 6 There were other answers about reading more books, studying harder, or eating less junk food. However, Mr. Woodall was quite impressed with his students and their concern for others. He decided to share all of the answers with his students, and the students enjoyed hearing the different answers. Mr. Woodall decided to try this activity with his students every year. By asking, he felt he would learn a lot about his students. tu P e g n t

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