（3）の問題の解き方がわかりません。 こういう問題を見た時の解き方のプロセス？みたいなのがあれば、それも教えてほしいです。

30 Lv.★★★ 解答は53ページ 複数の参加者がグー, チョキ, パーを出して勝敗を決めるジャンケンにつ いて, 以下の問いに答えよ。 ただし, 各参加者は,グー, チョキ, パーをそ れぞれらの確率で出すものとする。 1 い() (1)4人で一度だけジャンケンをするとき, 1人だけが勝つ確率,2人が 勝つ確率,3人が勝つ確率, 引き分けになる確率をそれぞれ求めよ。 (2)n人で一度だけジャンケンをするとき, r人が勝つ確率を nとrを用 いて表わせ。ただし, n>2, 1ハrくnとする。 n- (3)2Cr=2"-2が成り立つことを示し, n人でジャンケンをするとき, r=1 引き分けになる確率をnを用いて表わせ。ただし,n>2とする。 (大阪府立大)

7行目のasなんですか？whenでは？

diesel Adventure Part 2 After test-driving Vasco-5 in Japan, I sailer across the iic Ocean to North America.n Th。 first city Iisited was Vancouver, Canada. I askei for waste oil in many restaurants and hotels there However, my requests were often refused becaus. people knew little about biodiesel fuel. That made G-2) whena希名れ t] me feel disappointed. Still, as people heard abou そ47 Aラ後少る my project, they started bringing me waste oil fron their homes. It took mea few days to process the il into biodiesel fuel. After the process was finished, was able to start on my journey again. When I ran of fuel, I stopped and asked people for waste oil again

教えてほしいです！！お願いします！！

問題は【1】~【4】まである。答えは各問題の指示に従って別紙の解答用紙に書きなさい。 【1】次の英文を読んで設問に答えなさい。 Headaches are a big problem. Each year, millions of people suffer from severe headaches that affect their enjoyment of life, (1) not to mention their productivity at work. estimate, headaches cost individuals and businesses more than (2) $50 billion each year! (3) This is one of the reasons research into headaches has become a worldwide effort. Although he did not know much about how headaches work, Hippocrates was the first doctor to find a way to treat them. By 400 BC, Hippocrates had discovered that the *bark from willow trees was useful in treating pain. He made a white powder from the tree's bark and gave it to his patients. Hippocrates did not know it, but he was actually prescribing a natural chemical in willow bark called salicin. Whena person eats salicin, the chemical is changed inside his or her body into (4) salicylic acid. It turns out that salicylic acid is good for stopping pain, including headache pain, but it is bad for a person's stomach. In the 1800s, a chemist in Germany slightly changed easier for people to take. commonly known as aspirin. Aspirin was used throughout most of the 1900s to treat headaches, but doctors had little idea about what really caused headaches. When doctors can *diagnose the cause of a disease, they can find better ways to treat it. Therefore, as medical technology developed, doctors began to use it to learn more about the human brain and about headaches. In fact, according to one m to make it This new form of the chemical was called acetylsalicylic acid, now acid's Now doctors classify headaches ( A ) two general types: primary and secondary. A primary headache is a condition ( B) as only the headache itself. one caused by another physiological condition, such as an *infection or a *tumor. For primary headaches, doctors have determined three possible causes. headache is caused by stress. characteristically felt on both sides of the head as a dull, steady pain. Another kind of primary headache is the *migraine headache. Exactly what causes these headaches is not well understood, but many experts believe it could be abnormal brain activity causing changes in the brain's chemistry and blood flow. For many people, migraines are caused by certain (5) stimuli, such as poor sleep or particular foods or smells. A sufferer usually feels intense pain on one side of the head and becomes sensitive to light and noise. If the migraine is severe, the sufferer may *vomit repeatedly. The third kind of primary headache is known as the cluster headache. Cluster headaches typically occur around the same time each day for weeks or months at a time. The person ( C)from this kind of headache usually feels pain on one side of her or his head, and the pain is centered around one of the eyes. Doctors do not know much (6) at present about cluster headaches, but they seem to be more common among men and could be related to alcohol or other things that affect a person's blood flow. Using computers and more advanced medical equipment, doctors continue to learn more about what happens in the brain before and during headaches. Especially in the case of migraines, some doctors believe they have found the part of the brain that sets off the reaction for severe attacks. With these insights into brain processes, doctors hope new ways will be discovered to stop headaches before they begin. On the other hand, a secondary headache is One kind of primary Doctors usually call these tension headaches, and they are 注: bark 樹皮 diagnose ~を診断する、~を突き止める 感染症·伝染病 migraine (headache) 偏頭痛 infection tumor 腫場 vomit 食べたものを吐く (出典:READING FOR THE REAL WORLD 3rd edition, Compass Publishing より)

(3)の問題がf(θ)のtについての関数式を作ってから 何をしてるのかわかりません 詳しい解説お願いします！

する 解答は75ページ 44 Lv.★★★ 関数f(0)= a(W3 sin0+cos0)+ sin0(sin0+V3 cos 0) について,次の各 問に答えよ。ただし, 0<0<πとする。 (1)t=V3 sin0+ cos0 のグラフをかけ。 (2) sin0(sin0+V3 cos0) をtを用いてあらわせ。 7(3) 方程式f(0)=0が相異なる3つの解をもつときのaの値の範囲を求 めよ。 20)が (島根大)

1枚目の（3）と2枚目の問題の違いを教えて欲しいです。2枚目の解説では（i）の場合分けがあるのに対して1枚目ではそのような場合分けがないのはなぜですか？ 書き込みで見にくくなっていてすみません🙇‍♀️

よ女わら Dco (はhいいしあのと グラフを方程式へ応用していく代表的なもので, 今後, 数学II.Bへと学習が 2次方程式 r2-2az+4=0 が次の条件をみたすようなaの範 このように,方程式の解を特定の範囲に押し込むことを「解の配置」といい、 解の条件を使って係数の関係式を求めるときは, グラフを利用しま 囲をそれぞれ定めよ。 62解がともに1より大きい。 注 「異なる2解」とかいていないときは重解の場合も含めて考えます。 f(z)=0 の1つの解が1より大きく,他の解 =f(x) の よって、f(1)=5-2a<0 この場合,精調D, Oは不要です. a> 2 2解がともに0と 3の間にある。 2解が0と2の間と2と4の間に1つずっある 注 f(x)=0 の2解がともに0と3の間にあると き、y=f(x)のグラフは右図. よって,次の連立不等式が成立する。 f(0)=4>0 f(3)=13-6a>0 |0<a<3 タ14-as0 よって,a< かつ0<a<3かつ「aニ-2 または2Sa」 リ=f(x) 4 精|講 4精講の 精講の 0.3 -4-a あるrの値に対するyの値の符号 軸の動きうる範囲 ③ 頂点のy座標(または, 判別式)の符号 精講の flo)20 {い))o 2) 精講の fa)co 13 6 13 下図の数直線より, 2Sa<- 6 すすんでいっても使う考え方です。 確実にマスターしてください 解 答 213 3 6 -2 0 a k(z)=z-2ar+4 とおくと, f(z)=(z-a)+4-a リ=f(x) (4) f(0)>0, f(2) <0, f(4)>0 が成りたつので よって,軸はエ=a, 頂点は(a, 4-a") (1) f(x)=0 の2解が1より大きいとき y=f(x) のグラフは右図のようになっている. よって,次の連立不等式が成立する。 S(1)=5-2a>0 ae [S (0)=4>0 04 リ=fla) (2ca) f(2)=8-4a<0 5 よって,2<a<。 2 0 4エ f(4)=20-8a>0 世 a (精講の ポイント 精講の 解の配置の問題はグラフで考える D>0 -4-a -aE0 射な精講③, 次ページ右上の国 aく;かつ1<aかっ 532 「aS-2または2ma」 右図の数直線より, 2<a<- 2 25 演習問題 45 2次方程式 4c-2mz+n=0 の2解がともに, 0<ェ<L まれるような自然数 m, nを求めよ。 第2章 B6l2

2枚目にマーカーを引いた部分はなぜ言えるのですか？

(群馬大) 99 Lv. ★★★ 解答は160ページ·. 座標平面上の楕円 Q? =1 (a>6>0)について,「以下の問いに答えよ。 6° *座標が小さい方の焦点Fを極とし, Fからx軸の正の方向へ向かう 半直線を始線とする極座標(r, 0)で表された楕円の極方程式r=f(0) を求めよ。また, 点Fを通る楕円の弦を AB とし, 線分FAおよびFB 1 の長さをそれぞれra, TBとするとき, の値は定数となること TA TB を示せ。 1 たm )応極立面しの店占o

解説に赤線を引いた部分は何のために示しているのですか？書き込みで見にくくなっていてすみません。

19 Lv. ★★ 解答は189ページ 関数f(x) = a-cosx が,0<x<今の範囲で極大値をもつように, 定数 a+ sin x 2 aの値の範囲を定めよ。 また,その極大値が2となるときのaの値を求めよ。 (福島県立医科大)

1枚目右ページの2行目、a patexted technology involving bacteria cleans the water, はinvolving bacteriaがa patented technologyを現在分詞の形で修飾していて、cleansが文の... Read More

They are part of an experiment that Sogo, chief operating officer at FRD Japan, hopes will one day allow cost-effective inland farming of salmon Tokyo, gray salmon in a tank make quick movements, fighting for food. sea, but businessman Tetsuro Sogo is looking inland to raise one of the country's most loved sushi fish: salmon.\ In a mountainous area near Japan may be an island nation surrounded by the richness of the A You are preparing for agroup presentation on fish farming for your elan thought we needed a new way to produce more salmon," he explained. The company's process has two stages. First, tap water is converted 58 第2回 実戦問題 59 第6問 (配点 24) a シフト You have found the article below. 文字サイズ マトリー ジャンプ salmon farming. and enable Japanese to buy the homegrown fish for their sushi. “"We'll able to easily get high quality salmon wherever we are,” Sogo said The majority of the salmon consumed worldwide is farmed, not wila technology exports)." and the aquaculture market is dominated by Norway, which produces 1.3 million tonsa year. Farming at sea, the most common way to raise the fish, is complicated. The sea must be the right temperature, colder than 20 degrees Celsius, and only areas without strong waves and currents are tons of sushi-ready salmon. suitable - normally inlets or bays. Inland farming of salmon is often an impractical, expensive venture requiring lots of water and electricity to keep tanks clean. That hasn't stopped demand from exploding since the 1980s, with the United States, Russia, Europe, and Japan all fussing about the fish's rich pink flesh, according to the World Wildlife Fund. “Supply is not catching up with the growing demand," said Sogo, speaking at his test focility in Saitama, 50 km (31 miles) from the sea. Dressed in a suit like 35 明1 According to the article, what is NOT true about samon farmine? 0 Itis not easy to make profit by inland farming. の More than halfof the salmon consumed in the world comes from farming. Norway is leading the world market. a typical “salaryman" corefully monitors the fish as though he is wWatching his own children ““We - except fora pair of white rubber bonts _ Sogo O Strong waves are necessary to keep the water clean. 「第2回

1番なんですが、答えは手の真下におちるです なぜ手の真下におちるのでしょうか 電車が動いているなら落とし始めた場所より後ろに落ちるのではないのですか？ 出来たら詳しくお願いしますm(_ _)m

プロセス 次の各間に答えよ。ただし,重力加速度の大きさを9.8m/s°とする。 Process ロ一定の速度で動いている電車の中で,手にもったボールを静かに落とすと,ボールは 手の真下に落ちるか,またはずれた位置に落ちるか。 2 なめらかな水平面上にある質量5.0kgの物体が, 右向きに20N の力を受けたとき, 生

2枚目の赤の矢印を書いた部分の変形の仕方がわかりません。3枚目のように解いたのですが、この後を教えていただきたいです🙇‍♀️

※ 6 Lv.★★★ 解答は107ページ。 y=x°のグラフを了とする。6<α'をみたす点P(a, 6) からTへ接線を 2本引き,接点を A, Bとする。 Tと2本の線分PA, PB で囲まれた図形 の面積がそになるような点Pの軌跡を求めよ。 る 3 (東京都立大)