図形と方程式の分野なのですがどのようにしてK＝4＋√14が第三象限にあると判断したのかわからないので教えて頂きたいです。

の 201 重要 例題 126 領域と分数式の最大・最小 00000 x,yが2つの不等式x-2y+1≦0, x²-6x+2y+3≦0 を満たすとき, 最大値と最小値,およびそのときの x, yの値を求めよ。 指針 連立不等式の表す領域 A を図示し,y-2 y-2 x+1 の 基本122 x+1 -=kとおいたグラフが領域 Aと共有点をも つようなkの値の範囲を調べる。この分母を払ったy-2=k(x+1)は,点(-1, 2) を通り,傾きがんの直線を表すから、傾きんのとりうる値の範囲を考えればよい。 CHART 分数式 y-b の最大最小 y-b x-a =kとおき, 直線として扱う x-a x-2y+1=0 解答 とする。 連立方程式①、②を解くと ①, x2-6x+2y+3= 0 (x, y)=(1, 1), (4, 5) ゆえに、連立不等式x-2y+1≦0, x2-6x+2y+3≦0の表 す領域Aは図の斜線部分である。 ただし,境界線を含む。 y-2=k(x+1) ③ y-2 =kとおくと x+1 BECO すなわち y=kx+k+2 [最大] R y ③ P 1F 3-2 3章 1 不等式の表す領域 ③は,点P(-1,2)を通り, 傾きがんの直線を表す。 図から, 直線 ③ が放物線 ② に第1象限で接するとき,k この値は最大となる。 ② ③からy を消去して整理すると k(x+1)-(y-2) =0 は, x=-1, y=2のとき についての恒等式になる。 →kの値に関わらず定 点 (1,2)を通る。 い方法、 x2+2(k-3)x+2k+7=0 二線に このxの2次方程式の判別式をDとすると 一程式は D 0 =(k-3)2-1(2k+7)=k-8k+2 立してす RAL 第1象限で接するときのkの値は このとき、接点の座標は 直線 ③ が放物線 ②に接するための条件はD=0であるか ら, k2-8k+2=0 より k=4±√14 k=4-√14 0 求めら 小となる。このとき (√14 -1, 4√14-12)第3象限で接する接線と 次に,図から、直線 ③ が点 (1,1) を通るとき,kの値は最 k=4+√14 のときは, なる。 1-2 1 k= 1+1 2 k=y- 2 x+1 -473 に代入。 よって x=√14-1, y=4√14-12 のとき最大値 4-√14; x=1, y=1のとき最小値- 2 y-5 の最大値

各問題の①~④の中であっているのを教えて欲しいです🙇‍♀️😖よろしくお願いします🙇‍♀️

4 5 6 7 8 9 10 17 12 13 11 15 16 We stayed at a bed and breakfast ( 1 for the sake of 2 instead of Dolly's hand was badly swollen because she ( ) by a bee on the weekend. 1 stung 4 has stung 2 had stung 3 had been stung I know a lot about Spanish grammar, but when it comes ), I'm not so good. 4 speak 2 to speak 3 to speaking for speaking At this time tomorrow, I ( had been traveling ) spend too much money on accommodations. 3 so as not to 4 so that 〈 関西学院大 〉 ) to Paris. ( 2 have traveled 4 will be traveling ). 3 traveled Many spectators found the game 1exciting 2 excited 3 excite The roads were wet when we left the restaurant, so it must ( 1 be rain 2 be rained 3 had rained 4 have rained When pulling suitcases with wheels in crowded places, you have to be careful ( hitting not 2 not hit to 4 not to hit 3 not hitting to 明日も雪が降り続くと, まる1週間降っていることになる。 It a/will/been / for / have / snowing / week / whole) if it goes on snowing tomorrow. 〈立命館大 > これ以上この問題を議論しても仕方がない。 There is no ( ) discussing this problem any longer. 11 doubt 2 help (3 use このニュース雑誌の7月号を買っておくべきだった。 I ( I would have 4 excitement きみの電卓を使ってもいいかな。 報告書を作成するのに必要なんだ。 Can I use your calculator? I (need /to/a/report / prepare / one ). (***) 彼には以前会っていたので, パーティーではすぐに彼を見つけた。 (easily found / met him / before, /I/having / him) at the party. ) bought the July issue of this news magazine. 2 should have 3 could be (a) They are building new shopping centers in the suburbs. (b) New shopping centers ( ) in the suburbs. 1 build 2 are built 3 are building 〈南山大 > ) while we were inside. 14 隣街の店までわざわざ行ったが, 閉まっていることが分かっただけだった。 I went (only to / the store /to / in a neighboring city / find it/ all the way) closed. 〈中央大〉 〈南山大 > 4 way 〈芝浦工業大〉 might be 〈関西学院大〉 ) other people or block their path. < 日本女子大 > < 東洋大 > 〈中央大〉 〈成城大〉 〈龍谷大〉 4 are being built <亜細亜大 >

(3)がわからないです。教えて欲しいです

B 次の各組の英文がほぼ同じ意味になるように、 (1) He sings as if he were a rock star. He sings a rock star. (2) I am sorry that I spent all the money. I wish I に適切な1語を入れなさい。 not spent all the money. (3) He was able to buy a car because he won the prize money. The prize money him to buy a car. (4) Thanks to calculators, we can add large numbers easily. Calculators it easy for us to add large numbers. (5) Please tell me when you will arrive. Please tell me the time of day 1896 at

完成した英文の日本語訳はわかったのですが、穴埋めの方が分かりません。教えて欲しいです。

B 次の各組の英文がほぼ同じ意味になるように, (1) He sings as if he were a rock star. He sings a rock star. (2) I am sorry that I spent all the money. I wish I に適切な1語を入れなさい。 not spent all the money. (3) He was able to buy a car because he won the prize money. The prize money him to buy a car. 1070 (4) Thanks to calculators, we can add large numbers easily. sidanoq TO Calculators it easy for us to add large numbers. (5) Please tell me when you will arrive. Please tell me the time of

教えて欲しいです🙇‍♀️

B 次の各組の英文がほぼ同じ意味になるように, (1) He sings as if he were a rock star. He sings a rock star. (2) I am sorry that I spent all the money. I wish I に適切な1語を入れなさい。 not spent all the money. (3) He was able to buy a car because he won the prize money. The prize money him to buy a car. (4) Thanks to calculators, we can add large numbers easily. Calculators it easy for us to add large numbers. (5) Please tell me when you will arrive. Please tell me the time of

わからないので教えて欲しいです。

次の各組の英文がほぼ同じ意味になるように,_ (1) He sings as if he were a rock star. He sings a rock star. (2) I am sorry that I spent all the money. I wish I に適切な1語を入れなさい。 not spent all the money. (3) He was able to buy a car because he won the prize money. The prize money him to buy a car. (4) Thanks to calculators, we can add large numbers easily. Calculators it easy for us to add large numbers. (5) Please tell me when you will arrive. Please tell me the time of

教えてください🙇‍♀️

B 次の各組の英文がほぼ同じ意味になるように、 (1) He sings as if he were a rock star. He sings a rock star. (2) I am sorry that I spent all the money. I wish I not spent all the money. (3) He was able to buy a car because he won the prize money. The prize money him to buy a car. に適切な1語を入れなさい。 (4) Thanks to calculators, we can add large numbers easily. Calculators it easy for us to add large numbers. (5) Please tell me when you will arrive. Please tell me the time of C 日本語の意味になるように〔 〕内の語(句)を並べかえ,その語順を記号で答えなさい。 (1) 彼がその本を盗んだという証拠が何かありますか。 Do you have [① stole ② that ③ any ④ evidence ⑤ he ⑥ the book] ? (2) それをもっと綿密に調べていたら, 新事実が出てきただろう。 [ⓘa new fact ② of ③ might have ④ it ⑤ a closer examination ⑥ revealed ] . (3) もう一度やっていたら, その学生は成功していたでしょう。 [ⓘhad ② another ③ made ④ the student ⑤ attempt ⑥ he ] would have succeeded. (4) この電車に乗れば空港に着くでしょう。 yoy poids for [ⓘthe airport ② this train ③ to ④ will ⑤ you ⑥ take 〕. (5) もしあなたの助けがなかったならば、彼は失敗していただろう。 [ⓘfor ② your ③ not ④ had ⑤ it ⑥ been ] help, he would have failed. ① 次の日本語を英語にしなさい。 ただし〔 〕内に与えられた語はそのままの順序で用いること。 その歌手は日本だけではなくアメリカでも有名だ。 〔 is / only / America]

うなりの周期と回数がわからないです。 説明文を読んでみてもピンときませんでした… |f1T－f2T|=1の式の意味を教えていただきたいです。 よろしくお願いします🙇‍♀️

11【うなりの周期と回数】…単位時間あたりのうなりの回数は?基礎 わずかに異なる振動数,とfの二つの音波の山が一致してから次に一致す るまでの時間(音が大きくなってから次に大きくなるまでの時間)はうなりの 周期 Tなので, この間の振動の回数の差は AT-fT|= 【7】 / である。振動数は周期の逆数だから, 単位時間あたりの うなりの回数(うなりの振動数)をnとすると AT個の波 AT個の波 AW 大きな音の間隔がうなりの周期 n=ー=【8】 hf1 ifi-fal T

英語は簡単なので三角方？分かる方全員見てほしいです。 aの答えが大きい。bの答えが小さい。です。どう言うことでしょうか。簡単に解説お願いします。

7. a) Is tan 60° greater than or less than 13 How do you know without using a calculator? b) Is tan 30° greater than or less than 13 How do you know without using a calculator?

お願いします

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