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English Senior High

助けてください。どれが当てはまるか分かりません💦

B. Complete the paragraph with items from the box. Two items are extra. コメント 期待した FAKT media neighboring a actually commented potentially riddle expected significant かなりの made the headlines spectacularly worship visible ALLES tim tj 京料 all Archaeologists in England thought they had made an amazing discovery in July 2003, when tourists on a beach found ancient carvings on a large block of stone. The archaeologists believed that the discovery of the stone, which had been imported from Norway in the 1980s and used to make a wall, was The carvings of two snakes, a dragon, and other Experts translated the stone to say, (1) very (2) in the local (4) shapes (3) "This stone is for people who celebrate with fire." of the However, two months later, the archaeologists were surprised when the (5) carvings was solved by a fifty-year-old local builder, Barry Luxton. The man; who had seen a photograph in a newspaper, told them that he was (6) the one who had made the shapes - in 1995! Luxton said that over a period of three days he had made the carvings for a celebration on a beach that was going to be held by a group of druids people who nature. However, the block did not end up being moved to the other beach and was eventually covered by sand. Recent bad weather blew the sand away, making the carvings (9) again. Luxton was surprised; he really never (10) that his (7) (8) work would become so famous. follows may twen ne rac of th

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Mathematics Senior High

別解の赤線のところの解説をお願いします。

よって, ZBAD+ZDCB=π より, 四角形 ABCD の対角の和が元でお 4 こあるとあ 考え方 複素数平面上に4点を定めると, A, B, 8-8 LCBD=argyーB 例題 C(-1- 解答 =4+2i, B=1+i, y=-1-31, 0=8-6i とする ZCAD=arg y-a' 岡国角が等しい)。(四角形の対角の和=x)のいずれかが証明できち。。 この C(y), 一円周上にある。 と表せる。 8-2 ア) 4-8i 6-a__(8-6i)-(4+2i) アーa(-1-3i)-(4+2) 4(1-2i)_ 4(1-2i)(1-i) で -5-52 2 1+3) また。 ar 7-7i る ア-8(-1-3i)-(1+i)-2-4i 7(1-i)(1-2i) %3 7 7(1-i) -2(1+2i)-2(1+2i)(1-2i) 7 - ニ- 10 -ニ (1+3)=arg (1+3i) より,LCAD=ZCBD が成り立ち、同 10 arg 等しいことから,この4点は同一円周上にある。 B-Y ZDCB=arg り 8-a (別解) /BAD=arg 8-α' イ) と表せる.また, 8-Y で 8-a_(8-6i)-(4+2i)_4(1-2i) B-y_(1+i)- (-1-3i)_2 (8-6i)-(-1-3i) ニ 8-2 arg-atarg B-Y-arg-(3+i) 8-Y |4(1-2i)、2(1+2i)] 3(3-i)」 ara(-4)-0 ニ この4点は同一円周上にある。 Focus 異なる4点A(α), B(B), C(y), D(8)が この順で同一円周上にある → ZACB= ZADB Cl D(6) つまり, .B-Y-arg となる。 arg α-Y 注) A, C, B, Dの順で同一円周上にある場合も考えると, .B-8 例。 A(a) 4点A, B, C, Dが 同一円周上にある (解) B-Y- と一般化できる、(次ページの Column 参照) B-8 Q-8 Q-Y の値が実数 練習 複素数平面上に4点 A(3 33 この4点は同一円

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