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Mathematics Senior High

回答(1)の1行目から2行目に行く方法が分かりません教えてください。

例題 C1.58 空間の位置ベクトルと四面体の重心 Q& する. 線分DG1, BG2 の各々を 3:1に内分する点をそれぞれP, 四面体 ABCD について. △ABCの重心をするCDの重心をもっと DA Pas する. (1) 2点P,Qは一致することを示せ. (2) (1) で一致した点を G, △BCD の重心を G′ とするとき, 3点A,G, G′ は一直線上にあることを示せ . 考え方 (1) A(a), B(b),C(c), D (7) として, P, Qの位置ベクトルをそれぞれa,b,c で表し,それらが一致することを示す平(株) (2) AG, AG をそれぞれ a,b,c,d で表し, AG =kAG' となる実数んがあれば A. G, G′ は一直線上にある . 解答 OL (8) Ad, B (6) C(²) D. G. (g). Ga(g2). P(D), QG) とする。 (1) giat 42 Focus a+b+c より、 z_ª+³ª₁_¹ (à +3. ª+b+c)= ¹ (˜a + b + c + a) 3 3+1 4 Py より 同様に, q= 1 ss t よって, p=g より 2点P, Qは一致する. (2) G(g), G'(g)とする. +3.2 a+c+d — (6 + 3, ª + c + ª) — — (a + b + c + ā) = 1/(a (a+b+c+d) == 4 3+1 - -ã=1/(b+c+d-3a) AG=g-d=b -à=²(b +c+ã—3ā) AG=2AG (1 よって, 3点A, G, G′ は一直線上にある. (Gは各項点と対面の重心を結ぶ線分を3:1に内分 Plat する) AG=g_a=a+b+c+a 点の一致 notivstival 4 b+c+d 3 位置ベクトルの一致 注〉 四面体において,頂点と対面の重心を結ぶ4本の 線分は1点Gで交わる.このGを四面体の重心 動という 四面体の対辺の AC,BD の中点を結ぶ線分の中 点も重心G と一致する。 S+VS-XA 有ベクトル 小中 AB = b-a Thin 始点 G′ は△BCD の重心 △ABCの重心 a+b+c 3 ² 15tboil 四面体 ABCD の重心 a+b+c+d 例題 4 上に 「考え方 とすると、 重心をG GA+GB+GC+GD=1 解答

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English Senior High

黄色いマーカーのところについて。 asの倒置が起こってると説明が書かれていたのですが、元の文に直すとどうなりますか?

plainly Dreaming is a universal phenomenon, though much of what we dream may be forgotten, and some few persons are able only rarely to remember their dreams on waking. The dream represents mental activity during sleep. For this reason the workings of the unconscious mind can be more p 5 seen here than anywhere else. Ordinarily the thoughts and wishes of the unconscious mind are unknown to us, though it contains the source of creative and instinctive energy. As the oldest part of the concept-forming apparatus, it makes liberal use of such primitive methods of representation as symbolism. In a very general way, the unconscious mind of present-day man may be 10 compared to the conscious mind of the caveman, and dreams often remind us of the picture writing of the caveman, where a relatively few simple pictures used as symbols told a detailed story of events. In addition, it is the function of a dream to express a wish, but since the wishes of the unconscious are often highly instinctive in nature, they would be 15 as disturbing to most modern persons as would the acts of a caveman in present-day society. Therefore, most dreams are disguised enough to conceal their true meaning from the dreamer. This is accomplished through the intervention of the conscience, a much more recently developed function of the brain. In psychoanalysis an effort to get the true meaning of the dream is 20 made by having the dreamer give all his thoughts and feelings about every element of the dream. These are then pieced together by the analyst, who uses his knowledge of the life history of the individual as a reference point. By this means, unconscious thoughts and wishes, as well as long-forgotten experiences, can be revealed so as to give the dreamer a much more complete understand- 25 ing of himself. Passage 35 Psychoanalysis ー語句と構文- 13. on waking = /17. As the oldest part of the concept-forming apparatus, it makes = それは概念を形成するための装置一式の中の一番古い部品と ・・・ 訳) / L.9. may be compared to 〜 = 〜になぞらえるこ 272 - ( CLOSE ときに目く とし 16 1027 性質を るだろ ある。 見た BO 17 わ

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