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数学 高校生

Oを始点として変形するところまではいつもの流れでできたのですが、その下からなんでORやO Qが解答のように表すことができるのかが理解できません。 教えてください。

620 例題 337 例題 371 四面体の内部の 1辺の長さが1の正四面体OABC の内部に点 P があり, 等式 20P + AP + 2BP+3CP = 0 が成り立っている。 思考プロセス (1) 直線 OP と底面ABCの交点を Q, 直線AQ と辺BCの交点をRとす るとき, BR: RC, AQ: QR, OP:PQ を求めよ。 nosa (2) 4つの四面体 PABC, POBC, POCA, POAB の体積比を求めよ。 (3) 線分 OP の長さを求めよ。 0 MAGNA 2016年10 (1),(2) 例題 337 の内容を空間に拡張した問題である。 基準を定める 求めるものの言い換え NINACA BR: RC OR AQ: QROQ どこにあるか分からない点Pは基準にしにくい。 08 HA 始点を0とし、3つのベクトル OA, OB, OC で OP を表す。 OP: PQ OP OP = 201 = 1/12 08 OR = OA + 20B + 30C 8 na+mb ReAction p=na+mb l, p = (m+n)- m+n (1) 20P+AP+2BP+3CP = 0 kh 2OP+ (OP-OA) + 2(OP-OB) + 3(OP-OC) = 0 ①より 80P = OA + 2OB + 30C よって 3 4 OA+5X △OB + OOC O+A X' △OA + O OR O+A OA+5X OQ 20B + 3OC 5 20B+30C 5 OB-00-00. 10 んでここが ORに? OP = =OQ >2OB + 30C 5 A OQ= = OA+50R " X 0= (8) (3) 6 B 3点 0, P, Qは一直線上にあり, 点Qは AR 上, 点Rは BC上の点であるから 1-HO Q① OP △OA + O OR O+ △ A OA+OX SICH SP4 C ARIONSAN 1108 3 200 4 したがって BR: RC = 3:2, AQ: QR = 5:1, OP:PQ = 3:1 CHA AOB+O OČ O+A GO+A HA ta と変形せよ 8 の形に導く。 8 3 4 始点を0とするベクトル 直し OP を表す。 +w+8){ 例題 337 (OA+50R) x6x OA+50R 6 XOQO DHA 000 RAJ ②

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英語 高校生

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1 Today, Taylor Swift is one of the most popular singers in the world, and is also al cover model for fashion magazines. But she was not always so popular. 2 Taylor Swift began singing country music in Pennsylvania when she was eleven. Country music is an older form of music in the USA that is usually enjoyed by 5 adults. Maybe this is why other kids at her school thought she was strange for stopped calling her. singing country music. Over time, these friends 3 One day, she invited many of her friends to go to the shopping center, but all of them said they were busy. So, Taylor went with her mother. When they got there, they saw all the girls shopping together without Taylor. Soon after that, Taylor 10 began eating lunch at school alone. (1): 4 Taylor asked her parents to take her to *Nashville, a city in Tennessee where many country singers and musicians worked. Her parents decided to move there to help her make her dream come true. Taylor's parents were right to believe she could succeed. At age fourteen, she got a contract with RCA Records, a major music 15 company. 5 RCA wanted Taylor to sing other people's songs until she was an adult. Taylor “ did not like this. She wanted to write and sing her own songs about her life and the boys she dated. The record company did not think older country fans would want to hear (3)a teenage girl talk about her life. 6 Taylor left RCA and joined a smaller record company that released her records. Her music became very popular with teenagers as well as older country music fans. Soon, Taylor was considered a major pop star, and young people who did not normally listen to country loved her music too. 5 7 One day she returned to Pennsylvania to do a concert. Girls from her old school came to the concert and were excited to see her. They treated her like a star, and seemed to have forgotten that they had stopped talking to her in junior high school. 20 Taylor realized her life had changed. (4) * Nashville + VIEN

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英語 高校生

DUALSCOPE English grammar in 36stagesのlesson36[p73]の答えが2月4日に配信され、その日中に答え合わせをして提出しなくてはならないのですが、あいにくその日は予定があって答え合わせができないため、事前に答え合わせをしたいです。 ... 続きを読む

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