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English Senior High

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【必答問題) and 27,000 miles (about 43,000 kilometers), Irving became the youngest person at that 4次の英文を読んで,あとの間間いに答えよ。(配点 20) time to fly around the world alone. Today, as part of Experience Aviation, Irving is planning a “Classroom in the Sky." Barrington Irving was the first African American to fly around the world by himself. This time, he wants to fly a jet around the world and get thousands of students to work He did it in an airplane he built himself. He also started an organization to get young together with him to help solve problems he has while flying. Through the Internet, the people interested in flying and to teach them not to be afraid to follow their dreams. students will be able to see Irving, get information from him, and talk with him as he Irving was born in Jamaica in 1983. When he was six years old, his family moved flies, Irving is really determined to help young people become interested in flying. to Miami, Florida. His parents, who were not rich, hada bookstore. When Irving was not in school, he worked at the bookstore. One day he met an airline pilot there. Irving 注) *cockpit =(航空機の)操縦室 *control =制御(操縦) 装置 was only 15 at the time, The pilot took Irving to the airport, and there they got on a *scholarship=奨学金 *aviation =航空 (学) Boeing 777 airliner. The pilot let him sit in the *cockpit and play with the "controls. *equipment =備 From that time on, Irving was determined to fly. He wanted to do everything to make 問1 本文中の空所(ア)に入れるのに最も適当なものを、次の1~4のうちから一つ選 this dream come true. び、番号で答えよ。 To make money for flying lessons, Irving took small jobs at airports after school. 1 Because He studied hard and graduated from high school in 2002. ( ア) he was such a good 2 However student, Irving got a *scholarship to go to college and study #aviation. While Irving was 3 If in college, he wanted to share his love of flying with high school students in poor Though neighborhoods, He viaited schools in his free time and talked about careers in aviation. When Irving got his pilot's license, he began to have a bigger dream. He wanted to 問2 次の Question に対する Answer となるように, 空所に当てはまる適当な英語を補え。 fly around the world to show young people that there is no limit to your dreama if you Question: What did Irving want to show young people by flying around the world? really want something. He had no money to rent a plane, so he asked the makers of Answer :There is ( airplanes to give him parts for free so he could build his own plane to fly around the world. (イ) They agreed. 問3 下線部(イ)について具体的に説明した, 次の文の空所 ( ① )· ( ② ) に当てはま In 2005, Irving started a non-profit organization (NPO), called Experience る適当な日本語を、 They が指す内容を明らかにして補え。 Aviation, to get poor young people interested in flying. He even taught them how to put アーヴィング(Irving) が ( a plane together, and that helped them to understand math and science. Later, the ために,( の )ことに同意した。 students built a plane and Irving flew it. The next year, with the help of others, Irving 8ot money to start a learning center in a Miami airport with *equipment to help the students learn to fly a plane. 問4 アーヴィングが開講を予定している教室で、, 生徒たちがインターネットを利用すること みだ

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Mathematics Senior High

大問2なのですが ⑵の最後の式のマイナス2とプラス2(波線の部分)はなにをあらわしてるのでしょうか?

29 問題と考え方 解答 北海道大学- (前期日程)○総合入試(理系)·医 (医 ·保健 〈理学療法 放射線技術科学 検査技術科学)) 歯·獣医,水産◇ 2月25日 (時間) 120分 (入試科目) 数I·I. I·A·B (列) (試験日) 三角形 ABC について = 1, |AC| = 2, BC| = V6 が成立しているとする.三角形ABC の外接円の中心を ○とし, 直線 AO と外接円とのA以外の交点 |AB 一あるか をPとする。 (1) AB と AC の内積を求めよ。 (2) AP = sAB+ tAC が成り立つような実数 s, tを求めよ。 (3) 直線 AP と直線 BC の交点をDとするとき, 線分 AD の長さを求めよ。 2 座標平面上の2点(高0). (0, )を通る直線!を考える。 (1) 1上にある格子点の座標をすべて求めよ. ただし, 格子点とはその点のェ座標とy座標がともに整 数であるような点のことである。 (2) 1上の格子点のうち, 原点との距離が最小となる点をAとする。また, 1上の A以外の格子点のう ち,原点との距離が最小となる点をBとする. さらに, Aのェ座標とBのy座標をそれぞれ 座標 とy座標とする点をCとする. 三角形 ABC の内部および周上にある格子点の個数を求めよ。 nを2以上の自然数とする.1個のさいころを続けてn回投げる試行を行い,出た目を順にX1, X2, ·…, Xn とする。 (1) X1, X2, …, Xn の最大公約数が3となる確率をn の式で表せ。 (2) X1, X2, …, X,の最大公約数が1となる確率をnの式で表せ. (3) X1, X2, …., Xn の最小公倍数が 20 となる確率をnの式で表せ。 4 aを0<a<1を満たす実数とし,f(z) = sin とする. 数列 {an} が a1 = a, an+1 = f(an) (n =D 1, 2, … ) 2 へ で定義されるとき,次の問に答えよ。 (1)すべての自然数nに対して, 0< an<1かつ an+1 > an が成り立つことを示せ。 「- an+1 とおくとき、すべての自然数nに対して, bn+1 < bnが成り立つことを示せ。 1- an (2) bn = (3) lim an および (2) で定めた {bn} に対して lim bn を求めよ。 n→0 aを正の定数とする, 微分可能な関数f(z) はすべての実数aに対して次の条件を満たしているとする。 f'(t) n→ dt = ar 0<()<1, -10 {1- f(t)}f(t) さらに,f(0) = であるとする。 (1) f(x) を求めよ。 88 ()田線y= f(z) と a軸および2直線3D0, a=1で囲まれる図形の面積 S(a) を求めよ,さらに lim S(a) を求めよ。 a→+0

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