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Mathematics Senior High

白チャートの問題の(1)で青い線で引っ張ってあるところがわかりません!

236 PV 円に内接する四角形の問題(2) 発展例題 141 0000 [東京薬大] ZAPOSH 円に内接する四角形 ABCD があり, AB=1, BC=2, CD=3, DA=4 の ENSENY とき (1) cos A の値を求めよ。 CHABL & GUIDE 14 --- ■解答 よって ①②から 1 ② 円に内接する四角形の対角の和は180° BCD において DE ...... ・・この問題では A+C=180° を利用。 10cmの円に内接 四角形 ABCD は円に内接するから Jame C=180°-A (1) △ABD において, 余弦定理により BD2=12+42-2・1・4 cos A 円に内接する四角形 四角形を対角線で2つの三角形に分割する (1) △ABD, BCD それぞれに余弦定理を適用して, BD2を2通りに表す。 (2) 1 (1) の結果を用いて, sin A, sin C を求める。 ② 四角形 ABCD = △ABD+△BCD から, 面積が求められる。 =17-8cos A △BCD において, 余弦定理により [Defen 1419 BD2=22+32-2・2・3cos (180°-A) =13+12cos A SI ASJUKD cos A = ...... (2) 四角形 ABCDの面積Sを求めよ。 MAR ...... 5 (2) sinA=√/1-cos²A=√₁-(-)² = EN (S)] 1 _2√6 B AA (0) sinC=sin(180°-A)=sinA=- 基礎例題 132,135 A 2 C ② ALL DIA RW= (S) 17-8cosA=13+ 12 cos A JA 100=27.01x0=3 180⁰-A D 208 3- cor JS AIA,I=SJtt S=△ABD+△BCD 2√6 -1.1.4.2/6 +1 -2.3.2/6 •1•4• ・2・3・ 5 2 MDA O 円に内接する四角形 50°<A<180° 1部の時のS また 2√6 AA (S) 5 したがって 5=2√6 和は 180° ←cos (180°−A)=-cosA -BD" を消去する。 整理すると 20 cos A=4 104 Pe △ABD 2√64ABCD a =- 11-12. ・AB・AD sin A =1/12・CB ・CB・CD sin C

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English Senior High

英語の長文わかる方教えてください😭🙏🏻

15 5 10 ing Reading Passage Yuna Kim is one of the world's best figure skaters. At the 2010 Winter Olympics in Vancouver, she set three world records. In fact, one of those world records broke a record she set in 2009. At the Olympics, both male and female skaters perform a short program and a long program. In the short program, skaters have less than three minutes to perform seven required jumps, spins, or other moves. While doing these seven things, the skaters also have to show judges how well they can put these elements together into a kind of dance performance on the ice. The long program is similar to the short program except that skaters perform for a longer time and have more required moves. Before the 2010 Winter Olympics began, many people thought Yuna Kim was likely to win a gold medal. Certainly, there were other women skaters who had the skill to win gold at the Olympics. However, Ms. Kim had an advantage. She had already set a number of world records. In 2007, she set the record for the highest score in a short program with 71.95 points in Japan. The same year she also set the world record for the highest score in a long program with 133.7 points in Russia. Then, in 2009 she beat her own record in the short program by scoring 76.12 in the United States. At that competition, she also became the first woman to score over 200 points with her short and long programs - her combined score was 207.71. The next year at the Winter Olympics in Vancouver, she broke her records again. In the short program, Ms. Kim scored 78.5, a new world record. In the long program, she scored 150.06, another world record. This gave her a combined total of 228.56 points, a third world record! Needless to say, her score was enough to win gold. 'figure skater an ice skater who uses athletic skills and dancing skills

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