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数学 高校生

解答の四角で囲んであるtを使う部分が分かりません。

いる。 た、別解の解法は,三角比による三角形の 公式を利用したものだが,公式@の導き を見てわかるように、解答と本質的には同 である。 2直線が垂直に交わる条件 へのアプローチ SADA でない2つのベクトルについて 垂直 = 0 (内積) 点Qは,直線OH上にあり、 直線PB上に を実数として 点Qが直線OH上⇔OQ=kOH 点Qが直線PB上 ⇒OQ=(1-t) OP+tOB これでOQ は、a, を用いて2通りに表せ るから、係数を比較する。 答 OBA A $10 MOJ DA AH=sAB より OH-OA=s (OB-OA) よって, OH=(1-s)a+sh OH ¥0, AB≠0 より, OH LAB となるた めの条件は OH・AB=0 ここで 807770-DA ₂7, {(1-s)a+sb}·(b-a)=0 sb²-(1-s)|a²+(1-2s) a b=0 -MO-HA 1.1 = |a||| cos ∠AOB = 3·2·2=5 ①より, 4s-9(1-s) +5(1-2s) = 0 4 よって, 8=2013 これは s> 0 を満たす。 6 TIMP 40- 074 (20) OH--+60 3点O,H,Qは一直線上にあるから kを実 数として OQ=kOH=-ka+kb また、点Qは直線PB 上にあるから tを実 数として OQ=(1 t) OP+tOB a =(1-a+tbA ② ③ ...... ③ -ka+kb=(1-1)ã+tb a0万キロで、かつ と は平行でない から HOT+AOB 4 AB:AH=1:43:4 -3 k = 1/(1-0), k= t ^^ Jes AOS! 3 これを解いて k=121=2 2' t=2 を③に代入して, OQ=-1/a+26 〔別解〕 (メネラウスの定理の利用) (2) のとき だから AB:BH=3:1 △OAH と直線PQにお A いて、メネラウスの定理 を適用すると OP AB HQ PA BH QO 13 HQ 1 1 QO =1 よって 方 ·k + =1 H BAO O k=- -k=1 HOTAOSATO HO PA HQ よって,680-1/23 したがって, 00-220H-120+26.04 解説 MORALS (3)では、点Qが直線PB上の点であることから, (係数の和)=1の利用を考え、② の式を次のよう に変形し解くこともできる。 =-KOP+ROB ここで,点Qは直線PB上の点だから 4 3 [3] B 2 OQ=- kā + ¼ kb = k·½ ã + z k b k. -1871-84 H RSOA ベクトル

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英語 高校生

①構造分解のやり方で間違っている箇所 ②16行目のthat節はどういう役割なのか 以上2つを教えていただきたいです!

182 words 1 カジュアルフライデー 10 The American weekend officially begins on Friday evening, but M S19 M already by Friday morning there are signs that the weekend is just M around the corner, You see fewer cars on the highways, and buses M and subways are less crowded with people, too., This is because M M S V v C 5Some people take a day off on Friday to have a three-day weekend. M M 2 Things are also different at iwork, People don't wear the same W レ レ M Ce clothes as they wear on weekdays; they dress themselves more M casually. For instance, managers in the office may put on casual M) sports clothes instead of coats and ties. Some people put on blue jeans. M M 106 This trend toward “easy Fridays” is popular with employees し C s (who normally wear uniforms to work) In Los Angeles, for example, M レ O M M bus drivers are usually dressed in military-style jackets, hats and trousers. Recently, however, they have received permissio to wear M polo shirts and baseball caps on Fridays.) M 15 4 Transportation officials believe|that this new Friday *dress code 多詞(O) is good for the drivers' *morale, And they are also sure that the で 病 just as long as the buses run on time. 17 passengers won't mind s (注)dress code「服装規定」 M S V M morale「士気」

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英語 高校生

下線部3の訳を教えてください

that although many will cry with yuu, IL i without envy; one who can say, "That was wonderful! You can do it ago: betto? and mean it, Nothing is more damaging to 。 るれ 5 even you want!" friendship than one person being wealthy or successful when the other isn't Even the closest of friendships (and marriages) often Cannot withstand the たえSaんく? strain of (,this difference, and collapse asa result. No wonder mányminor つかいす。 friendships break up for the same reáson. A person of good character and morals, of honor and humor, courage and - for there are few. One 0I conviction is a friend to be sought and treasured often hears, “If you have more good friends than you can count on one hand, consider yourself blessed." And I would add, “(2)Even if you have lost two fingers of that hand to an electric saw. 15 What makesa friendship last? Well, I don't know all the answers, but one thing I have noticed is that good friends usually have similar tastes. They generally like and dislike many of the same things. And good friends tend to have similar personalities, too of life such as honesty, sincerity, loyalty, and trustworthiness. More often 20 than not, birds of a feather do indeed flock together. I don't think it matters - especially in the fundamental values ballet. Many other things matter far more: confiding, relying, sharing, giving, getting, enjoying; a readiness to listen sympathetically; criticism, when it is useful; praise and encouragement. (3) With not many people on this 25 earth will you find this much in common. When you find (4) one, hang on to him, for a true friend is a rare treasure. 1 ま

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