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数学 高校生

複素数平面の問題で分からないところがあります。 [3]∠Cが直角のとき z=-1±i/2 となる理由がわかりません。

50 50 直角二等辺三角形をなす 3点 ( 2 ) ■基礎例題 23 発展 例題 28 複素数zの虚部が正の数であり, 3点A(z), B(22), C (23) は直角二等辺三 発 角形の頂点である。このとき,ぇを求めよ。 CHARL & GUIDE 直角二等辺三角形をなす3点 (S) + の回転なら±i倍 例題 23 と同様に,直角になる角が∠A, B, ∠Cのときに分けて考える。 π 直角を挟む 2辺→ 1辺を,直角の頂点を中心に りの1辺に重なるととらえる。 ・または- - 2 2 π だけ回転すると残 (1) (S) ■解答 [1] y [1] ∠A が直角のとき AC⊥AB, AC=AB から z³-z=±i(z²-z) A-1 の ゆえに z(z-1)(z+1)=±iz(z-1) -1 0 2 1 条件より z=0, z≠1 であるから,両辺をz (z-1) で割って A -2B z+1=±i よって z=-1±i の虚部は正の数であるから z=-1+i [2] y 1A [2] ∠B が直角のとき BC⊥BA, BC=BA から ぷーズ=±i(スー22) B [1] と同様にして z=Fi -1 の虚部は正の数であるから z=i [3] ∠Cが直角のとき -1 C CA⊥CB, CA=CB から スープ=±i(2-2) [3] [1] と同様にして A (株 12 1+z=iz ゆえに 1±à 2=-- 14 C の虚部は正の数であるから 計 2000-2 1 0 4 11 1 B 2 ④ EX 28 複素数平面上に相異なる3点A(Z), BI (2) S(Z)と する複素数の2乗が表す3点A( (1) この点に対応

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英語 高校生

この黄色いマーカーのとこの分構造を教えて欲しいです。

異議をとなえる 明治大文 significant five per cent. 2022年度英語 7 chalerghg T困難だがやりがいある always prefer print to ebooks. By 2016, that number had climbed a modest but 控えぬ The increased sales books) and their popularity with of younger people, demonstrate that old media is not just the province the old)/ 領域 3 The argument that printed books were becoming outdated and obsolete was by challenged not only by books' renewed popularity, but also by expert studies that pointed out the psychological Benefits enjoyed by people (who liked to read 動 a remedy for (イ) b.difficult writing) (in other words researchers suggested reading ( n all sorts of problems) (2013) the journal Science published a study that concluded that people who mostly read literary writing had a clearer appreciation breached other people's ways of thinking than those who tended to prefer popular bestsellers: The authors (②this study) discovered readers to be better (あ the emotions expressed faces on at understanding others' false beliefs when they had just read prizewinning short stories than when they had I read lighter more commercial writing: This experiment provided a new contribution to the familiar debate (on the difference between literary writing and popular bestsellers Bluzin 1 0 experiment suggested b/captivated (②E a printed book) remained a worthwhile (even in the digital age that finding time to be activity (C① many people) O 4 est The view that people the past read more were better readers is not ✓ and (historical evidence. It is true that print experienced a golden age between the rise D mass audiences: ( the eighteenth century (and the twentieth- a century triumph of the paperback Nonetheless, well before competition (from social media, only a finy minority (①volumes that were published ever found a ader(1 Instead of reading novels carefully, aristocrats had their hair curled reader ✓ ever while listening to a servant reading aloud Long before people compiled favorite songs or pieces of music on their computer or mobile phone, poetry lovers scissored pages apart to paste scraps of one collection onto the margins of another. Early bookstores sold fish, while books were also sold door-to-door by clothing salesmen. Authors back then debated in print, as strongly as today's content providers do online, whether the written work should be rented or sold, licensed or owned. In short, printed books gave birth to many of the capacities cs CamScanner でスキャン

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