(3)で、なぜa＝2の場合分けが必要なのかわかりませんでした。また、両辺をa(a-2)で割って、という説明の意味がわからなかったので、教えてもらえると嬉しいです。

★☆☆☆ 例題83 文字係数の方程式の★★★☆ 次のxについての方程式を解け。 (I) (1)x+(a-2)x-2a=0 (2) ax²-2x-a=0(3)dx-2ax+a=0 (2)(3)問題文では,単に 「方程式」 となっており、2次, 1次方程式とは限らない。 場合に分ける 思考プロセス (x2の係数) = 0 のとき 1次方程式を解く (2) (x2の係数) ≠0のとき 2次方程式を解く (例題 82参照) 。 いる。 -2 3 1 Action » 最高次の係数が文字のときは、0かどうかで場合分けせよ (1)x2+(a-2)x-2a=0より 例題 よって 10 x=2, -a (2) (ア) α = 0 のとき,この方程式は The これを解くと x=0 (イ) α = 0 のとき, 解の公式により (x-2)(x+a)=0x2+(a+B)x+αB = 0 exe -2x = 0 __(−1)±√(−1)-α(-a) 1±√α° + 1 x= a == +1>0より, これは解として適する。 a 最小公 て,各 fa = 0 のとき x=0 。 解) から、 SB (ア)(イ)より 1 ±√2+1 a = 0 のとき x= (3) ax-2ax+α = 0 より a(a-2)x=-a あるか - ac のとき (x+α)(x+β)=0 a = 0 のとき,与えられ た方程式は1次方程式と なる。 2次方程式 ax2+26′x+c=0 の解は x= 6' ±√b2-ac (ア) α = 0 のとき,この方程式は 0.x = 0 よって、 すべてのxで成り立つから, 解はすべての実数。 (イ) α = 2 のとき,この方程式は 0.x = -2 a = 0 の可能性があるか ら,いきなり両辺をαで 割ってはいけない。 3 章 2次関数と2次方程 この式は成り立たないから,解はない。 (S) 照。 (ウ) α = 0, 2 のとき x=- 1 a-2 1 2-a Mod Job a(a-2) ≠0 より 両辺 をα(a-2) で割って a = 0 のとき (ア)~(ウ)より |a=2のとき すべての実数 解なし 09- a x= a(a-2) な 1)= 1 1 a-2 2-a a = 0, 2 のとき x= 2-a Point...文字係数で場合分けする方程式の解法 方程式の最高次の係数が文字のときは,その値が0かどうかで場合分けする。 最高次の係数が0のとき,(3)のように,解がすべての実数となる場合(不定)や、解な しとなる場合(不能)もあることに注意する。 練習 83 次のxについての方程式を解け。 C (1)x2+(3-4)x-3α = 0 ■ (2) ax2+x-a=0 (3) a²x-2=2ax-a

間違っているところがあったら教えてください🙇‍♂️

1 Choose the best answer to fill in the blanks. (81) (1) Peter ( 1 teaches 3 will teach ) for ten years next month. 2 will be teaching will have taught /13 ( 東京電機大 ) (2) In my class, there are three students from abroad. One is from England and ( are from Australia. ①another (3) Our teacher is ( 2 others 3 the other the others ) to come by the time we promised to get together. 2 possible 3 probable A definite ) of the two men standing at the gate. I likely (4) My father is ( 1 more tall 2 taller (5) My parents objected ( ①to my climbing 3 the tall ) the mountain alone in winter. 2me of climbing 4 on me to climb the taller (京都産業大) (関西学院大) (近畿大) ト TИIO (千葉工業大) hearing (実践女子大 ). to consider (摂南 3 me to climbing (6) She had to shout to make herself ( I have heard 2 hear ③ heard (7) The project could be called a success, all things ( 2 considered 3 considering ) the sky, it will rain this afternoon. 1 consider (8)( ①Judging from 3 Though 2 Generally speaking ④It being (9) You must leave now; ( ), you will be late for your social studies class. ①instead 2 therefore 3 otherwise accordingly (10) We are now in the ( ) half of our training camp. 1 late 2 latter 3 later ④last ) wise and hardworking. 3 need ④needed (大阪学 (センタ (11) All teachers and students are not ( ①necessarily (12)( 2 necessary ) had the war begun when ①The moment ? No wonder terrorists hijacked a plane. 3 Hardly (13) Next week's seminar ought to provide ( 1 ours our ④As soon as ) with a lot of new information. ourselves 4 us

分からないので教えてください🙇‍♂️

1 before 2 by ③ so 3 W Choose the best answer to fill in the blanks. (1) (1) This book ( 1 says ) you everything that you want to know about English grammar. 2 speaks 3 tells (2) I'm going shopping now, but I'll be back ( knows ( 大阪経済 (千葉工 ) long. 4 within (3) It is high time we ( ①discuss ) the environmental problem. 2 discuss on 3 discuss about ( 4 discussed (4) When and where did you ( ) to know her? ①reach 2 come 3 become ④arrive (E (5) I am sure that the new model ( ) well. ①will be sold 2 will sell ③3 is sold ④selling (6) Something is wrong ( ) this computer. 1 in 2 with 3 about ④by ⑤ at

なぜ解答の2行目になるのか教えてください🙇

□ 68 △OAB と点Pに対して, OP = sOA + tOB が成り立つとする。 s, tが次の 条件を満たすとき, 点Pの存在範囲を求めよ。 (2) s+t= =1, s≥0, t≥0 3' (1) s+t=3 *(3) s+6t=2, s≥0, t≥0 *(4) 0≤2s+3t≤6, s 答 例題 15 T (2) s + t = 1/1/143 から 3s+3t=1 また OP=SOA+1OB=3s (OA) +31 (OB) ここで, 3s=s', 3t=t' とおくと OP= s' A+t' s't' 1, s'≥0, t'≥0 = | よって, 130A=OA, 1/30B = OB' となる点 A', B' を とると,点Pの存在範囲は線分 A'B' である。 B' P A B

withって絶対なきゃダメですか？ どうしてwithがあるんですか？

Takuma has been studying math for math for a two hours. (2) あなたについて、 「私はジョイフルワークに〜間取り組んでいます」とBob に伝える英文を書こう。 I have been study ing Joyful Workbook for three hours. t 数学 = math ~に取り組む= work on ジョイフルワーク= Joyful Workbook with nineteen

合っているか教えてください🙇‍♂️

LES AR ① ② LESSO 1 Choose the best answer to fill in the blanks. (1) (1) Do you feel like ( 1 go ) for a swim? 2 to go 3 going (2) The market share of imported grapes is larger than that of domestic ( 1 one 2 ones 3 that ). IM お having gone nin関西外国語大 those (近畿) ob \bed of) H 4 talked 3 talk (鹿児島国際大) ) in the garden. 3 playing 4 being played in qu ). 3 it (4 one (愛知 (3) Once you meet her, you'll find that she is nice to ( talk to her 2 talk to (4) The children are outside. I can see them ( ①to play 2 to be playing (5) As I had my bicycle stolen, I bought a new ( 1 another 2 other (6) When (r) Mr. Jackson? (桜美 ①have you met 2 did you meet 3 you have met 4 have met you (7)( ) his homework, he couldn't go swimming. Finishing not 2 Not being finished Not having finished of TH (8)( 3 Not finished ) you were coming, I would have invited you to lunch. Je ①If I have known 3 Had I known ? Should I know ④If I know (9) He ( ) have done it by himself; somebody must have helped him. ①must 2 has to (10) I wanted some potatoes, but there were ( ④can't pt 3 can ). 1 none 2 no other 3 no things ④no one ( (11) He was seen ( ) out of the room. 1 go 2 gone 3 having gone 4 to go (同+O

以前画像3枚目の様に修飾限定予告のthatというものを習ったので今回もその形なのかと思い、それらのと入れずに訳してしまったのですがこのthoseの識別は文脈判断ということでしょうか？ 教えて頂きたいです。よろしくお願いいたします。

実理 K The starting point for today's *meritocracy, of course, is the idea that intelligence exists and can be measured, like weight or strength or fluency in French. The most obvious difference between intelligence and these other traits is that all the others are presumably changeable. If someone weighs too much, he can go on a その人 →Heyで受けるのが一般的 5 diet; if he's weak, he can lift weights; if he wants to learn French, he can take a course. But in principle he can't change his intelligence. There is another important difference 原則として MV between intelligence and other traits. Height and weight and speed and strength and サフィス体例 関係性が強い文がくる even conversational fluency are real things; there's no doubt about what's being 間違いなん measured. Intelligence is a much murkier concept. Some people are generally (2) m2 Vogue 10 smarter than others, and some are obviously talented in specific ways; they're chess 天才 S masters, math *prodigies. But can the factors that make one person seem quicker than another be measured precisely, like height and weight? Can we confidently say that one person is 10 percent smarter than another, in the same way we can say he's 10 へんて、いつだっ S percent faster in the hundred-yard dash? And can we be confident that two thirds of 櫂へん 言いかえ 15 all people have IQs within one standard deviation of the norm that is, between 90 ように and 110 - - as we can be sure that two thirds of all people have heights within one standard deviation of the norm for height? Yes, they can, and yes, we can. besure least, are the answers that the IQ part of the meritocracy rests on. Those, at (3)-

3つの訳と答えあってますか、、？？🥲 10番の訳、自分にとってなんか違和感があって、払わせるって変ですよね、、？11番はtake A Bの AとBがどれにあたるのかよくわからないまま訳してしまいました。12番も私に10000円かかったって訳に違和感感じます、、😭😭

訳 勇敢な行動は彼に彼の人生を払わせる 10. Joe's brave action ( (訳) ⑨cos ① cost 3 happened 光太陽から地球に届くのに8分かかる ) him his life. Cost AB ② missed AにBを払わせる ① ④ killed <愛知医科大 11. It( (訳) ① brings ② needs ③ requires 彼らは私のバイクをなおすために私に10000円かかった 12. They( )light about 8 minutes to go from the sun to the earth. take AB AにBがかかる )me 10,000 yen for repairing my bicycle. cost AB ActBがかかる ④ takes <玉川大 ①priced boys 2 cost bobain ③ spent babirsty ④ charged 〈跡見学園女子大 ワ

答えあっていますでしょうか、、🥲🥲 15番の lay down、辞書で調べたらやめる、ささげるっていう意味が書いてあったのですが訳そうとするとよくわからなくて、、教えていただきたいです😭😭

私がしたことであなたに謝罪しなければならない )you for what I've done. apologize to A for B BのことでAに謝罪する ① apologize ② apologize to ③ apologize for ④ be apologized 大学を卒業したsola 7. I have to ( 先生は、クイーンズランドの大学を卒業した ① from 〈 仁愛大 > 8. The teacher graduated ( ) the University of Queensland. graduate from AAを卒業する ② to ③ in 4 of あなたはとてもつかれてみえる。ハワイでの1週間はあなたのためになるだろう。 W 〈駒澤大〉 9. You look so tired. A week in Hawaii will ( ) you good do A good Aのためになる ①① do ② feel bluoral ③ makemodatio on ④ turn A do good to A BUST (名城大)

この問題合ってますでしょうか🥲🥲 4番の訳ってこれで大丈夫ですか、、？😭😭somethingの訳に毎回悩んでしまいます、、

1 英文中の空所に入る適切な語または語句を選択肢から選びなさい。 1. She seemed ( ① sadness ) after she saw the movie. ② sadly ③ sad 2. “You ( ) very nice in that dress. " “Thank you.” Sale @look 100k~のようにみえる ② watch 年をとらずにはいられない it fl ② look to be see □ 3. You can't help becoming old. No one can ( ① continue bid seemの後には形容詞 分詞 →~のように思われる ④ sadden bisa very nice という形がうしろにあるから ④ make < 東洋大 〉 < 淑徳大〉 young (あい)という形が うしろにあるから ) young forever. ③ remain ④ stay to be ~のままである 〈京都産業大〉 00