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数学 高校生

(2)d₁=,d₂=の式が分かりません この式は点と直線の距離の公式を使いますか?

13 楕円 双曲線の接線 一定値問題 直線!: mx+wy=1が、楕円C:+=1 (a>b>0) に接しながら動くとする。 9² 62 (1) 点(m,n)は楕円上を動くことを示し,その楕円の方程式を求めよ。 (2) Cの焦点F(-²62,0)と1との距離をふとし,もう1つの焦点 F2 (2-620) と (筑波大/一部変更) との距離をdとする. このときdd=bを示せ. IOI You 621 上の点 (No,yo) におけるCの接線の方程式は 02 62 である楕円の接線に関する問題では,まず接点を設定してこの公式を使う, という方針を考えよう。 ここで重要なのは 「(No, No)は v² ++ =1上の点だから 02 6² エロ + =1...☆ が成り立つ」 Q2 Yo 62 ということ、例題や演習題のような「接線についての一定値問題」では、接点を設定し, を使って文 字を消すのが基本的な流れである. 双曲線の接線の公式は, 楕円と形が同じ (符号が違うだけ)で, 接線の公式 #MC: 2 22 IOI Yoy -=1 1上の点(20) におけるDの接線の方程式は Q2 62 である (Dの式の右辺が1なら接線の方程式も右辺が-1). これも合わせて覚えよう. Q2 62 双曲線D: 解答量 (1) 1とCの接点を (πo, yo) とすると,Z: + -=1であるから, TOI yoy α2 b2 1: mix+ny=1と比較してm=- TO a², n=. (Toyo) はC上の点だから IO² 02 Yo 62 id:d2= yo=nb² を代入すると42m²+bx²=1………・・ ① となるので, (m,n)は 楕円α'x'+b2y²=1の上を動く. 30² + =1である. これに.ro = ma², (2) c=√²-6 ② とおく.Fi (c, 0), F2(c, 0) と 1: mx+ny=1の距離がそれぞれd, d2 だから, |mc-1| d₁=- |-mc-1| + d2= m²+n² m²+n² m²+n² |1-m2a²+m²621 m² +n² (1+mc) (1-mc)|_(1-mic²|_[1-m² (0²-62)| m² +n² m² +n² | b²n²+ m²b²| ___ b² (m²+n²) m² +n² m² +n² ++ □ (1) の原題は 「点(m,n) の軌 跡は楕円になることを示せ」で あった. (m,n)は (No, yo)を 軸方向に12倍,y 軸方向に a² -= 倍した点とみることができる. 62 このように考えると, (m,n) が 楕円全体を動くことが言え,さら にその楕円の方程式が (a²x)² ← ②を用いた. (by)2_ 62 すなわち+b2y²=1 と求めら れる. + -=1 ← ①より1-4²m²2²aを消去)

解決済み 回答数: 1
英語 高校生

一応自分で解いてみたんですけど、④がよくわからなかったので教えて下さい😭😭🙇‍♀️🙏

長文を読む 1. 甲南大学 目標解答時間20分 Is In the 1920s American movies filled the cinema* screens of the world. Most were made in 郊外 Hollywood, a suburb of Los Angeles, in California. Hollywood's big attraction for film-makers was its clean air and sunshine. The movies made there were bright and clear. By the 1920s it had become the film-making capital of the world. HOT ning sibisbaste Maomhsnob vildung, Hollywood movies were made by large companies called studios. The men who ran these boowellpH ei obam eşivom NSROMA FOR STOWW studios were businessmen and their main aim was to make as much money as possible. They eslognA zo.llo eduduz si mixt boot semool 69 adı ni come do enim mobbe i soon found that one way to do this was to (1) standardize* their films. When audiences had 185s d is si BAT-silyte sii seino blowodi 16 lasins anim-mlit od zew boow lig shown that they liked a certain kind of film, the studios made many more of exactly the same kind. Solit tiedi svibnsbasız(1) 21 aninsom ni 122colo da bistars were Another sure way for a studio to make money was to (2) turn its actors into "stars." stil vlieb wone-thr 291700 Tosun sis 29 il ngibus ob es esiyor to bridomy, M vonom to jol som si zivom SAM actors who were so popular that people went in crowds* to see any film they appeared in, no matter bisbristes amosad redivom sole MD A famous star could make any movie a sure success. So the studios how good or bad it was. 21612 00 210106 21 went to great lengths* to make their actors into stars. (S) 01 ob 20ibure du bib jew They encouraged fan magazines. They ob 9 16 2016 2 e sivom vas sisMS 2012 196snt bas esnissgsm nisl noqqu set up special publicity departments* to get stories about their actors into the newspapers. The movies of the 1920s were silent. They bisbasse mod, om to spoke through expressions and movements, not in f H THE LOYAT 1500 words, and so their language was international. All over the world, from Berlin to Tokyo, from night of the week to see the ople lined up every London to Buenos Aires, tens of millions of people lined √ SU OJANE JA AJANSAZETHO A USA (X TO favorite Hollywood stars and, without realizing it, to be Americanized. AANSE AJR

解決済み 回答数: 1
英語 高校生

問3教えてください😭😭😭🙇‍♀️🙇‍♀️

元子 The (1)"rare earth elements are a group of 17 metallic elements that are found in the natural 元子 world. Because these elements are used in all sorts of high-tech devices, they are increasingly 全種類 倍増した in demand. In fact, the use of these metals nearly doubled between the years 2000 and 2010. d Despite the name, the quantity of these elements is not so low. Some recent reports have 主張した claimed that the amount of rare earth elements may be on the same level as that of copper* or Even though the elements exist throughout the world, however, the quantity is not LAUOPUS OS sufficient* for mining* profitably* in each location. Moreover, these elements are usually mixed lead*. with other elements, making it difficult to remove them. This explains why they have been called (8) (A) „‚Â#881‡3 GANEUS $0 01X$&NOS "rare" earth elements. (8) jud (A) Jon Despite an ever-growing demand, few countries are mining for these metals on a large scale. bhup gnis91 sus abnsmab 19 (A) jos ei said ino NO One country, China, now handles more than 90% of all mining for rare earth metals. Other Jadi seu ingim owied 参 in di o ogsmeh, countries have not entered this business in part because of In oro guiauso juodhiw moi because of (2) the environmental problems th ANS) OW IGERS allesimonoss maci pruxs of lola su od son ob enido merla corto prinanvoo can occur. Extracting the metals creates a lot of waste, including radioactive* waste from >tojat DEROXA uranium*, thorium* and other elements located in the mining area. poswad belduob vlison and anomals die ve dost-dgid to edmund oros bas The growing need for rare earth metals may convince some countries to expand their mining. bsol 10 190900 2 von dem som vas a su amals drus ma maldong nista on jonzi blow di metavond zimnelo drusele viirusno leuns afte Running out of rare earth metals is not the concern, however. Rather, the question is whether 2 lo word of mine anomals dre His ch 21810 i asıl yainuas vino odo at smidƆ> vob dost-deid ni bozu.ad no vod! they can be obtained without too high of an economic or environmental cost. ololo alam russ

解決済み 回答数: 1
英語 高校生

答えないです。軽く根拠と答え教えていただきたいです。

1 ()内に入る最も適切な語句を①~④から選びなさい。 (1) As far as I know, there are ( each 2 few (2) In developing countries, there are still a lot of villages with no 1 run 3 running ran (3) I didn't like the movie. It was not as ( 1 excited 2 exciting (4) I was so ( 1 disappoint (6) The company is planning a trip ( ) studies on the history of the region. 3 little ) when I heard the news 2 disappointed 3 disappointing and grolle Halid (5) Our office will not accept responsibility for items lost or ( 1 steal 2 stealing 3 stealth to go to swimming going swim (8) My sister ( 1 likes (7) Can I borrow something 1 to write (10) The student ( 1 what ) as I had expected. 3 excite (9) The singer is very talented and is sure 1 to win 2 won juo beatio )? I don't have a pen. 2 to write for (14) One reason 1 which (11) To my surprise, Paul gave me all the books ( 1 of 2 of which ) at a beautiful beach in Okinawa. 3 going to swimming CHE 3 to write with mundo ) the singing contest. ) he had. 3 that (13) Barcelona is the city () I spent last summer. 11 those 2 where 4 much lood a hell ) water. to pass the exam, for she spent a lot of time preparing for it. 2 is liking 3 likely nulol 3 which 4 have run Bürostuler e'an enw triguor (#****** to disappoint excitement Svi no es mob amse salt sven 4 stolen J - 4 what (12) There are only a few places around this area for children to play, (x) is 1 that 2 what 3 where E 4 is likely (東京電機大) idquodi L 4 to go swimming arbonogeek(岐阜聖徳学園大) 4 to write on COPY winning 4 3 for winning MAZSPRODAT ) had a temperature has gone to the nurse's room. lir)) (f (神戸松蔭女子学院大) 2 who 3 whom 4 whose VYSTIM 4 while is really a problem. 4 which (名城大) (日本大) 東京電機大) as C ESPERIEN (松山大) Kenji likes that class is that it is directly related to his dream for the future. 2 when na we 13 where ignoolew\ iady Soa 2 下線部のうち, 誤った英語表現を含むものを1つ選びなさい。 (福岡大) (甲南大) (S) ( 愛知学院大 ) og a spelliver to teriqeorts sil フェリス女学院大) 4 why X (1) Students who choose to 2 major in one of the Liberal Arts disciplines 3 will take courses 4 designing to foster independent thinking. (東北医科薬科大) (2) 1 After serving in the military, the man went back to his native village, 2 which he lived 3 among his Dk. \ ei, childhood friends 4 until he died. her family. (京都外国語大) (2 (2 (3) (5) (6) B D

未解決 回答数: 1