下線部のto mane a fewは構造を解析するより慣用表現だと覚えた方が良いのでしょうか...？教えて頂きたいです。

17 A number of adverse health symptoms or diseases (itchy eyes, headaches, asthma, allergies, and auto-immune disorders, to name (2) [-] a few) may be linked to changes in the microbial species with which we live. Perhaps, as a consequence of "modern" living we've lost some

青の所が少し分からないのですがどなたか解説お願いします🙇

107 面積(IV) mを実数とする. 放物線 y=x2-4.x +4 ...... ①, 直線 y=mx-m+2 ...... ② について,次の問いに答えよ. (1)②はmの値にかかわらず定点を通る. この点を求めよ. (2) ①,②は異なる2点で交わることを示せ. (3) ①,②の交点のx座標をα, B(α <β) とするとき ① ② で囲 まれた部分の面積Sをα, β で表せ. (4)Sをmで表し, Sの最小値とそのときのmの値を求めよ. 精講 (1)37 ですでに学んでいます. 「mの値にかかわらず」 とくれば, 「式をmについて整理して恒等式」 と考えます. (2) 放物線と直線の位置関係は判別式を利用して判断します. (3)105ですでに学んでいますが,定積分の計算には100 (2) を使います. (4) 21 (解と係数の関係) を利用します。 =-∫{x²-(m+4)x+m+2}dx α, β は, 2-(m+4)x+m+2=0 の2解だから S=-S(x-a)(x-B)dx=1/2(B-α) 注 紙面の都合で途中の計算は省略してありますが,100 (2) のようにき ちんと書いてください. (4) 解と係数の関係より, α+β=m+4,aβ=m+2 参考 ∴. . (B-α)=(a+β)2-4aß= (m+4)2-4(m+2) =m²+4m+8 s={(B-a)/2=1/2(m°+4m+8)/2 6 (*) S=1/2(m+2)2+4)1/2よりm=-2のとき最小値 4.5 をとる. 3 (*)は, よく見ると(2)のDです. これは偶然ではありません。 ax2+bx+c=0 (a>0) 2解をα, β(α <β) とすると, Q= -b-√D 2a B= 6+√D 2a :. β-α= -b+√D 2a -b-√D VD 2a a 解答 (1) ② より m(x-1)-(y-2)=0 <mについて整理 これがmの値にかかわらず成立するとき, x-1=0, y-2=0 本間は α=1のときですから, (β-α)²=(√D)=D となるのは当然. このことからわかるように, 2解の差は判別式を用いて表すことも 可能で,必ずしも, a+β, aβ から求める必要はありません. よって, の値にかかわらず ②が通る点は, (12) (2) ①,②より,yを消去して, 判別式をDとすると, D=(m+4)2-4(m+2) x2-4x+4=mx-m+2 . 2-(m+4)x+m+2=0 ポイント f(x-α)(x-B) dz=-1/2 (B-α) 6 <D>0 を示せばよい =m²+4m+8 =(m+2)2+4>0 よって, ①と②は異なる2点で交わる. (3) 右図の色の部分がSを表すので S= 6= f * {(mx−m+2)−(x²-4x+4)}dx Y! (2) 演習問題 107 O α1 2 BIC y=4-x2 ...... ①, y=ax (a は実数) ...... ② について,次の ものを求めよ. (1) ① ② のグラフが異なる2点で交わるようなαの値の範囲 (2) ①,②のグラフで囲まれた部分の面積が10となるようなαの値 3

写真 2枚目の３パラグラフ目の棒線部についてです。 和訳と照らし合わせたところ、 吐く　 というのが cought upの意味だと思い、調べてみましたが、出ませんでした 。そのような意味はcought upにあるんでしょうか？

erlode aids (0 英文を読み、下記の問いに答えなさい。 For most prey, ( 14 ) is over once they've been swallowed. But one species of beetle can escape from a toad's stomach nearly two hours after being eaten, according to a new study. Found in wooded areas on nearly every continent, bombardier beetles - a group that consists of more than 500 species - get their name from their signature defense mechanism: When threatened, they shoot a hot chemical spray from their rear end. In Japan, the insects have long been known as "the farting bug." Toads have been observed vomiting bombardier beetles after eating them, but no one knew exactly why, or ( 15 ) the beetles survived after their brush with digestion. あわや? bine To better understand the beetle's defenses, two biologists from Kobe University fed a species of bombardier beetle to two different species of toad collected from forests in central Japan. One toad species shared its natural habitat with that particular species of beetle, while the other was unlikely to encounter it in the wild. (16) After the beetles were swallowed, a small explosion could be heard inside each toad, indicating that the insects were firing their defenses. Overall, 43 percent of the toads vomited the beetles, taking anywhere

写真1枚目の 3 パラグラフめについてです。 棒線部のところの和訳が、 その甲虫が あわや消化されそうになった と書いてありますが、どこからあわやという表現が出たのか 、そして該当する英文中のbrush とらなんのことなんでしょうか？

英文を読み, 下記の問いに答えなさい。 For most prey, ( 14 ) is over once they've been swallowed. But one species of beetle can escape from a toad's stomach nearly two hours after being eaten, according to a new study. Found in wooded areas on nearly every continent, bombardier beetles - a group that consists of more than 500 species- get their name from their signature defense mechanism: When threatened, they shoot a hot chemical spray from their rear end. In Japan, the insects have long been known as "the farting bug." Toads have been observed vomiting bombardier beetles after eating them, but no one knew exactly why, or ( 15 ) the beetles survived after their brush with digestion. ? To better understand the beetle's defenses, two biologists from Kobe University fed a species of bombardier beetle to two different species of toad collected from forests in central Japan. One toad species shared its natural habitat with that particular species of beetle, while the other was unlikely to encounter it in the wild. (16) After the beetles were swallowed, a small explosion could be heard inside each toad, indicating that the insects were firing their defenses. Overall, 43 percent of the toads vomited the beetles, taking anywhere

写真３枚目の問題についてなんですけど、解説を見てもなんで答えが２番かわかりません。 にばんの、 酸素濃度が濃くが、薄く、なら答えになると思うんですが、、

を読み,下記の問いに答えなさい。 ONA-based A coursing und and (7) Like a tiny submarine, the chambered nautilus speeds through the little jets that it creates by sucking in water and spitting it ocean on out. However, as ways of movement go, jet propulsion is not usually a very good use of energy. In the ocean's depths where oxygen gets thin, the nautilus seems to be putting itself at risk by expending so much effort on movement. Fish use far less energy by pushing at the water with their fins. So how does it manage to jet around unscathed in the ocean's depths? Graham Askew, a biomechanics professor at the University of Leeds, set out with a graduate student, Thomas Neil, to understand better how this shellfish moves. They found that the nautilus is actually a highly efficient jet-propelled creature, wasting much less energy than (9)

下線部1行目でmuchが後ろにofがあるから名詞という のならmoreも名詞な必要があるかと思ったのですがevenが形容詞としてmoreにかかることは有り得るのですか...？教えて頂きたいです。

understand S V3 0 すぐに for existence. As soon as we study animals, we at once perceive that though there is an immense amount of warfare and destruction going on amidst various species, and especially amidst P.P 大量の various classes of animals, there is, at the same time, as much @isn ba (4) or perhaps even more, of mutual aid and mutual defense amidst (going on) animals (belonging to the same species or, at least, to the same society, Sociability is as much a law of nature as mutual struggle TC a law of of

ほとんどの男性は筋肉があれば女子にモテると思っています。特に海外では。なのでジムに行って筋トレする男性は増えると思います。を英文に直してほしいです！お願いします🙇

下から3行目のfirst few secondについてfirstもfewも形容詞としてsecondにかかっていると考えたのですがこの考えが正しいのか教えて頂きたいです。

Lesson 4 certain that each man carries in his eye the exact indication of his rank 広大な in the immense scale of men, and we are always learning to read it.' Indeed, psychological experiments suggest that we make judgements of each other's social status within the first few seconds of meeting. no wounder wonder ( B ) first impressions count, and ("DB") we feel social evaluation anxieties!

なぜas a lot of money asはダメなのですか？

Jeff and Jenny saved ( as much money as ) they could to visit their uncle in Hawaii. [R] as a lot of money as / as much money as / money as a lot as / money as possible as [E] as much money as as 原級 as S can 「できるだけ〜」

9行目のitが何を指しているかということと、have been thinkingが完了進行形の受動態として使われているのか、be動詞の完了形でthinkingが名詞として使われているのかわからないので教えて頂きたいです。 よろしくお願いします。

10 5 おかれる a 不気味 71 1/In a disgusting series of experiments in the early 1960s, a surgeon in America cut open the heads of monkeys and removed their brains. サ ◎Then he placed each brain on an apparatus specially designed to V3 C 機能する supply it with nutrients that would keep it alive] It seemed to work. (1) VS 0 C Brain waves were produced as they would be from a living brain 文理由 (付帯も precace 「被っているので省略さ ことが多 lasは前のもので内容が However deprived of any kind of sensory input no sights nor sounds, つまり no tastes nor smells, no touching nor feeling, no pleasure nor pain its thinking must/necessarily have been limited to memories and したにちがいない abstractions. Indeed, it may not have been thinking at all. <In most してないかもしれない animals, partial sensory deprivation can lead to hallucinations*, and ☆文を切りはす 狂気 extreme deprivation to madness, the “thoughts” of the monkey's brain can Fed lead to よくこびmay not have been meaningful or clear thoughts, but nerve cells firing randomly. M XC 1つの出来事 動名