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Mathematics Senior High

青マーカーの部分がどうやって求められるのか分かりません。教えていただきたいです! よろしくお願いします🙇🙇

1辺の長さがαの立方体 ABCDEFGH において, 45 空間のベクトルの内積 次の内積を求めよ。 (1) CAB-AC (3) AH・EB求め 内 (4) EC・EG (2) BD BG D ☆☆☆ B C E--- [H] OA F G 図で考える 例題11の内容を空間に拡張した問題である。 [内積の定義〕 平面と同様 ab=abcos 0 Action 2つ BAC とのなす角 « ReAction 内積は,ベクトルの大きさと始点をそろえてなす角を調べよ 例題1 (3) 始点がそろっていないことに注意。 |AB| = α, |AC| =√2a, 空間におけるベクトル A △ABC は A D ∠BAC = 45° であるから B C ∠B = 90° の直角二等 AB· AC = a × √ 2 a × cos45° E 辺三角形 HA 8=SXF B C G (2)|BD| = |BG| = √2a, A D △BGD は D B <DBG=60° であるから B C 正三角形 Ser (3) AH = = a² -a² BD.BG=√2ax√2a× cos60° = |EB| = √2a, AHとEB のなす角は120°であるから AH・EB=√2a×√√2axcos120° == (4)|EG| = √2a, |EC| = √EG2+GC2=√3a ACEG において COSCEG = √√2a√6 √3a 3 EC.EG=√3a×√/2axcos∠CEG=242 E F G A D EBHCであり, B IC △AHCは正三角形より ∠AHC=60° E よって、AHとEB のなす F G 角は120°である。 A D C B [E 用する。 G △CEG で ∠EGC =90° A.より,三平方の定理を利 △CEGは直角三角形であ るから EG cos∠CEG= EC

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English Senior High

31行のitは何を指していますか?itがthingを指しているのかとも思ったのですがそれだとundurstandの後に名詞の穴ができてしまっておかしいのではないかと思いました。教えて頂きたいです。

25 out of twenty native Alaskan languages, 冬の最 Although language extinction is sad for the people involved, why should the rest of us care? What effect will other people's language loss have on the future of people who (A): speak English, for example? Replacing a minor language with a more widespread ・ゆる可能 124) = permit . 20 one may even seem like a good thing, allowing people to communicate with each other more easily. But language diversity is as important as biological diversity. といい hot all ~70% Andrew Woodfield, director of the Centre for Theories of Language and Learning 1-14 in Bristol, England, suggested in a 1995 seminar on language conservation that people do not yet know all the ways in which linguistic diversity is important. "The fact is, no one knows exactly what riches are hidden inside the less-studied languages," he says. Woodfield compares one argument for conserving unstudied endangered plants - that they may be medically valuable with the argument for conserving endangered languages. We have inductive evidence based on past studies of well-known danguages that there will be riches, even though we do not know what they will be 単語 をだすことが It seems (B) 30 paradoxical but it's true. By allowing.languages to die out, the human race is destroying 便 4714 things doesn't understand," he argues. (243) Stephen Wurm, in his introduction to the Atlas of the World's Languages in Danger 1-1

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