Grade

Type of questions

Mathematics Senior High

囲んだところの、特に波線のところが分かりません

10本のくじの中に2本の当たりくじがある。当たりくじを3回引くまで繰 50 反復試行の確率 P。の最大 307 重要例題 *あ ①○OOO 返しくじを引くものとする。ただし、一度引いたくじは毎回もとに戻す。 n回目で終わる確率を P,とするとき *、45 n23 とし, (1) Pa を求めよ。 (2) P,が最大となるnを求めよ。 【類名古屋市大) 基本 45,47 lOLUTION JHART 確率の大小比較 比 Pn+1 をとり、1との大小を比べる Pr (2) Paが最大となるnの値を求めるには、Pa+1と P,の大小を比較すればよい。 確率の問題では、Pnが負の値をとらないことと, P,がnの累乗を含む式で表 されることから,比 をとり、1との大小を比べる とよい。 P。 n回目で終わるのは,(n-1)回目までに2回当たりくじ | (2) Patt を引き,n回目に3回目の当たりくじを引く場合であるから {(n+1)-1}{(n+1)-2} 8 n-3 2 P=ュー1C2 10 …… Pのnの代わり にn+1とおいたもの。 2 15 (n-1)(n-2) P。 2 2 4n 5(n-2) 4n 5(n-2)>1 これを解くと Pn+1/1 とすると n>10 Pati>1 とすると Pa *5(n-2)>0 であるから, 不等号の向きは変わら ない。 すなわち 4n>5(n-2) n<10 Pn+1 P =1 とすると n=10 Pn P,の大きさを棒の高さ で表すと よって,3Snミ9 のとき のとき のとき Pn<Pn+1, n=10 Pn=Pn+1, 最大 11Sn Pn> Pn+1 増加 減少 ゆえに Ps< P<……<P。<P.o=Pu, Plo=Pu>P2>… したがって, Pn が最大となるnの値は n=10, 11 34 91011 12 n PRACTICE…50 さいころを,1の目が3回出るまで繰り返し投げるものとする。 n回目で終わる確宅 をP,とするとき, 次の問いに答えよ。 ただし, nè3 とする。 (1) P,を求めよ。 【類 九州工大 (2) Pnが最大となるnを求めよ。

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English Senior High

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[7] You are texting a message to your friend. You should [ 1LX ]L a long time when Jane [ and told us you [ JLY ]U Jyou 4 |the soccer game; we had [ JI J1 J home. It was very exciting! I( 8 )three seats of the next game, so let's go together next time. oods ouist (B) 4.ア.been イ、waiting ウ、came a e' l エ、staying IM er." オ. to カ、 have キ、for ク、 at uケ、come teコ, were b tid sbtl anbk oe Ivro ANO (A)8.ア. booked m ns イ、 appointed aniobjoe shstsk s aウ、 preserved mgmiedprlo yd viat エ、 subscribed のe.tb IalA 10 injonjs ert gloo pol. 8 You are texting a message to your friend. 919 o Jart vrom t'bib l Im happy to hear you can go with us. The game we are going to watch will be the deciding match. We may as 4 <_e_L> prepare for congestion. lo 1 nb バof anm bven on adnausta1 Jeop ud ni 0 atol 916horft oelf dar odd adnoitaeni aartwitosx9 ot lot orh bs belistob liset mod nt sndon Ist) tnonue bool boyoe 8 oe noitw ndonsinsvno0 ert tuode sugT8 1'nesE ji lo busard eL 9vianod 1om-n yorlt aabiesd boau nsed ovad ainsibont ielw a odne o Toot yomom 1o Jol s te09 p8d ter bool erd lle bd 1.lioW n nie brg alm lo rtnop a'bw atortw a Tol airu pydau no aninnalq me 1 a ble 10 'mob Ignirtrgve e avob wol s Jenl ns jb 910 9 o vil l eo 9nom lum a'lbru ot l Spord li nnegsd bti gnolajuo odet num at "gonom al omid" ose vortl as d un boot Jerts To omoa slarw jeupov obil om 1 nor o tainod pnbdoo0 1shw o bopg a' sedTdos stt boplge lo bmol vln m'T scrw oldatogoy tor'bbnt mil li Onouatet ierT ofi ja bool orib es boog ap ai al leuolbile b abmud2 : g Jot a i o 10 hist 1on 'li osl no imoo tf: ool orti ssinsTau n o antte o patnsvbs yod or as Ibe jrodl 5e noe ou 901fnob I alayon boog esjas bool uoy stua ml asgm (ード表参照) 37 志全 第6 志望 全受験 必 人する 参年·テストの種類 が不適切な場合は 個人情報の取り扱いに、

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English Senior High

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I first came to Japan / when my best friend. Patrick, / invited me here / in 1993. / I taught English / at an English conversation school in Fukui / for two and a half years. / I made a lot of friends / and I learned Japanese. / When I moved to Tokyo / in 1996. / I wanted to be a Hollywoodmovie star. / 5 It was impossible / to go right to America/ and become a star, / so I planned to make my Hollywood debut / via Tokyo. / I started acting, / modeling, / DJing / and doing voice work. / A year later, / I started comedy. / At this point / Iwanted to be "a Japanese star." / (103 words) 音読しよう Practice 1 スラッシュ位置で文を区切って読んでみよう口 Practice 2 英語の強弱のリズムに注意して読んでみよう 口 キングトレーナー TRY! 1分15秒以以内に本文全体を音読しよう 口 103語=[ ]秒×60= |wpm Read 共通テスト)【知.思) 本文を読み, ]に入れるのに最も適当なものを一つずつ選びなさい。 ((1)と(2)は各5点,(3)は 4点) (1) Why did Pakkun come to Japan? 0 Because he wanted to learn Japanese. 2 Because he wanted to teach English to Japanese people. Because he was offered a job at an English conversation school in Fukui. 0 Because his best friend Patrick invited him to Japan. (2) Which of the following is true? 0 In Tokyo, Pakkun gave up his dream of becoming a movie star in Hollywood. 2 Pakkun did lots of things to be successful as a comedian. 3 When he moved to Tokyo, Pakkun wanted to be a star in Japan. @ When he started comedy, Pakkun wanted to be a star in Japan. (3) The phrase “make my Hollywood debut via Tokyo" isclosest in meaning to 0 come back to Tokyo as a Hollywood movie star 2 give up making my Hollywood debut in order to realize my dream in Tokyo 3 go from Tokyo to Hollywood to make my debut as a movie star @ make my Hollywood debut after having enough experience in Tokyo

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English Senior High

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Grammar Focus noun refers to something that cannot be counted (a mass), and so it does not use a plural form. When a noun is countable and it refers to only one person, place or thing, the singular form is used. If the noun refers to more than one, we use the plural form. Plurals are usually created by adding -s to a noun's When a noun is used, it is important to determine if it is countable or uncountable. If uncountable, the singular form, but the spelling of plurals varies and can be irregular. Nouns-Countable / Uncountable Complete each of the following sentences with an appropriate word or phrase. 1. Donating blood is a good way to savea life because patients often require ( to help treat a fatal disease. ) or platelets b. was blood a. a blood C. blood d. its 。Radiation, matter, gravitation, electric charge, and magnetism are all invisible physical a. a phenomenon b. phenomenon C. the phenomenons d. phenomena 3. If people have ( )lasting a week or longer, it may be caused by the flu. a. fever b.a fever C. fevers d. the fevers 4. The ( )are using the forensic science lab report to help them in the investigation. a. detective b. police officer C. polices d. police ) travels in straight lines, and transmits energy from one place to another. a. Light b. The lights C. A light d. Lights ) people think that smoking is healthy, some people do think that smoking is ) people never try to quit smoking. C. few, quite a few 6. Although ( arelaxing tool. Surprisingly, ( a. quite a little, little b. little, quitea few d. quite a few, little ) in the summer camp are interested in nature. a. Most of childs b. The most child c. Most of children d. Most of the children ) can be dangerous if you don't recognize an adverse reaction. b. a medicine 8. Taking a. medicine d. one medicine c. medicines lectronic data exchange via e-mail or the Web is more eco-friendly than using millions of d. sheets of papers a. a sheet of paper c. sheets of paper b. a sheet of papers 10. 7Of the employees in the company are contract workers. c. Number d. Majority a. Lot b. Half

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English Senior High

教えて貰えませんか?

8 The Case of the Dentist's Patient 歯料医院での者殺人事件 1 D Wihianns, a New York dentist, was getting readly to take an *X-ray on the left his ptient, Dorothy Hoowe The ddoor behind him opened silently and hand apyarnd、 t was wearine a white slove and holding a **automatic pistol. ng Rang! Two *"shots snded. Miss Hoover fell over in the chair. She was ead. 3 t a *"susieet ffor the shooting** Inspector WWinters told his chief at his e o hours later. he cbwor boy took a nervous man up to Dr. Williams' offe、a few minutes before the shooting. 1he boy described the man and I am sure John Barton. He was **in prison before. This evening we found him at his るmng house, Ive told him that I only want to ask him a few questions." 10 B Burton was brought in and he anoily said, "What is all this about?" Have you ever heard of a Dr, Williams?" asked the Inspector. No. I haven't. Why?" replied Burton. Dorothy Hoover was shot to death less than three hours ago as she sat in a S chair in Dr. Williams' office," the Inspector explained. I was sleeping all afternoon," said Burton. 「An elevator boy savs he took a man who looked like you a moment before the shots were heard," the Inspector told Burton. It wasnt me," Burton insisted. "A lot of guys look like me. I haven't been in a dentist's office since I came out of prison, You are mistaken." *No."**interrupted the chief, ", We have good *1°proof to send you back to 4) prison for a very long time!" 1 265 words I

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