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Mathematics Senior High

AB,ACが平面上で一次独立とはどういうことでしょうか?また回答に書く必要がありますか?

F. wi 10 4点A(1,2,3),B(4,3,-1),C(3,4,0), D (2,5,z)が同一平面 2 上にあるような定数の値を求めよ. (考え方) 解答 GO ・3点A B C を通る平面上にDがあると考える. ・4点が同一平面上にあることより, D (d)はA (a), B(b), C(c) を用いて表すことが このとき, AD は ABとAC を用いて表すことができる. できることを利用してもよい。 AB=(3, 1, -4), AC=(2,2,-3), AD=(1,3,²-3) 点Dは3点A, B, C を通る平面上の点で, AB, AC が 平面上で1次独立なので、必要 とおける. AD=sAB+tAC (s,tは実数) 138A Focus したがって, HOLOG んが存在しない。 (1,3z-3)=(3,1, -4)+t(2,2,-3) つまり, A,B,Cは 一直線上にはない. 成分を比較する. 3s+2t=1 s+2t=3 -4s-3t=z-3 これを解くと s=-1, t=2, z=1+0=1-2-1 よって, 求める値は, z=1 058 050.0% 0510 VE 108 10 LERO DHAA & (別解) A (d),B(),C(c), D (d) とすると, 4点は同一 平面上の点より, #d=sa+to+ucose 533831138 (0-8) 1-nty 0≤ (s+t+u=1, s, t, u 0 とおける. GIF With te (2, 5, z)=s(1, 2, 3)+t(4, 3, -1) +u(3, 4, したがって (5-5)+(5-8) |s+4t+3u=2 2s+3t+4u=5 3s-t=z |s+t+u=1 **** これを解くと200 AB ¥0 かつ AC ¥0 で、 ABA となる 152. OB+GES 93 AS 24 0) SOR OE-551 4点を位置ベクトル で考える. (1) 001-1153 000 He 成分を比較する. +20 s=0,t=-1,u=2,z=1 (1) +8Op+AD よって、求める値は,z=1 03 s+t+u=1 を忘れ 0220分ずに40 A(d), B (b),C(c) のとき,P(n) が平面ABC 上にある ⇔ p=sa+to+uc (s+t+u=1) BRE 平面上に点P(1,y, 0)

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English Senior High

よろしくお願いします🙇‍♀️

1 国際学部 英語コミュニケーション学科 国際学科 適性テスト 60分 第1問 次の各文の1 10 に入る最も適切なものを、それぞれ①〜④の中から1つ選び、 解答欄の数字を マークしなさい。 解答欄には①~⑨までの数字及び記号があります。 間違った箇所をマークしないように 注意してください。 1. The researchers succeeded in filming the animal that 2 had seen Dhad been seeing 3. The institute will groups. stem from 4 occasions 2. Crops and plants did not grow well due to the extraordinary heat and lack of rainfall. This affected farmers' 3 triggers 2 vacancies Dincomes carry out 3 a survey to determine whether the government's economic policy has been beneficial across age 4. The organization calls for protecting foreign workers, many of who 2 whom 3 whose 7. The company released a set of rules announcements to customers. lasting (2) relieving . 5. The article suggests some training methods to eliminate unconscious 3 nutritions agreements recipes even though 1 before. had never been seen 2 proposal go off 10. Unless the countries reach a 1 distribution 7 10 (2) revenue 4 6. The author indicates that the growing popularity of DIY (Do It Yourself) is because of its 3 deadline potential symptom 8. The teacher allows students to use their electronic devices during the class, with them. only if 4 had never seeing 5 ) once have suffered abuse. 4 what 4 amount to based on race, gender and accents. 4 prejudices 6 accommodation gender-neutral language use in their advertisements, commercials, and 3 promising 8 2 for emotional healing. 4 storing 9. Some insist that the government should limit the time that children are allowed to use the Internet, while others oppose it. The 9 issue remains industrial 3 controversial 4 approval energy prices will surge and have a bad effect on citizen's lives. 3 prosperity they do not use social networking services 4 no matter how consensus REH

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English Senior High

ポイントを読み取ろうと内容を確認しようの それぞれの回答があっているかの確認をお願いします また、解けていないところの回答を教えてください

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