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英語 高校生

「,well behind 」の部分の構造、意味を教えてください。

[Review] Back in the late sixties, thinkers on both sides of the Atlantic were troubled by problems which may seem strange to us today: they were worried that the leisure age which they believed was fast approaching would leave people with too much time on their hands. They were worried that the work ethic was losing its grip on a new rebellious generation and they pondered how they would motivate people to work. They needn't have worried. The much-predicted "leisure age" promised by technology has not materialized. In fact, quite the reverse: people are working harder than ever. There is less leisure time and, most surprising of all, the very workers with the greatest bargaining power are choosing to work the hardest. The problem is the burnout of white- collar Britain. For over a century, the average number of hours spent working over a lifetime slowly declined in Britain. The historian James Arrowsmith has calculated that in 1856 our ancestors put in 124,000 hours over a 40-year working life and, by 1981, it was 69,000. There it remained for a decade, but in the early nineties it began to increase again. On average full-time British workers now put in 80,224 hours over their working life, and that figure rises to 92,000 for those on a 50-hour week, which is common among the self- employed, the skilled, and professional and managerial workers. Many are working the kind of hours that would have been familiar to factory workers in the middle of the 19th century. The only difference is that now it's the bosses who are more likely to be putting in the hours than those on the shop floor. Britain has followed a US model of all work, no play, in contrast to continental Europe. Full-time workers in Britain now work the longest hours in Europe an average of 43.6 hours per week compared with an EU average of 40.3. Even more marked is the difference in holidays between Britain and continental Europe; the UK has, on average, 28 days a year, well behind France with 47, Italy with 44 and Germany with 41. Add the difference in weekly hours and holidays and it amounts to the British working almost eight weeks a year more than their European counterparts. -

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数学 高校生

133. xを求めてからの解答までの導き方はこれでも大丈夫ですかね??

208 重要 例題 133 解が三角関数で表される2次方程式 -8.201+00 aを正の定数とし,0を0≧0≦を満たす角とする。2次方程式 2x²-2(2a-1)x-a=0の2つの解が sine, cos 0 であるとき, a, Sin, Cos 040 nie 020000 値をそれぞれ求めよ。 指針 2次方程式の解が2つ与えられているから, 解を代入の方針でなく 解と係数の関 係 を利用するとよい。 解と係数の関係から 解答 与えられた2次方程式に対し, 解と係数の関係から sin0+cos0=2a-1 ①, 練習 a 2 sin Acos0=- ① の両辺を2乗して sin²0+2sinocoso+cos20=(2a-1) 2 E&SHO sin²0+ cos20=1 であるから 1+2sinAcos0=(2a-1)2 これを解いて a sin+cos0=2a-1, sincos =) ( 200 TO BE しかし,未知数は3つ (a, sine, cos e) であるから, 式が1つ足りない。 そこで,かくれた条件sin²0+cos'0=1 も使って, a についての2次方程式を導き, そ を解く。 なお, sin0 または cose の範囲に要注意! (Coisc 200+ C²# AB これに ② を代入して -2.(-2)=4a² =4a²-4a+1 よって 4a²-3a=0 すなわち α(4a-3)=0 pos/3 a>0であるから a=² 4 このとき, 与えられた2次方程式は 2x2-x- -=0 すなわち 3 4 1+2・ cos+1+√7 x= 4 (2) また 0≦O≦xのとき, sin0≧0であるから sin0= -01-√7 <0<===>> 1+√7 8x2-4x-3=0 0805 S 解と係数の関係・ 2次方程式 ax²+bx+c=0の20 解を α, βとすると 2015 (8800 nia a+B==₁ aß= 1+√7 cos8=1-√7 4 21008305 30nia TAH sino+coso 0000 0 2000 ie$+0 nie =0 2000 miest 065070200 00 -2(2a-1) == 「複雑な方 2 を変更 E [□] 133(cosA>sin0,0 <6<²) で表されるとき,の値と sing ponia-0°niz) (0 200+aiz)=600+0'nia EVO (1 基本 sin' + ens' =1. 0 2000 mie 3130 右の大がかれた。 x= 8x²-2-2x-3=0 であるから 0 2±2√7 8 = 1+√7 4 2±√(-2)^2+8.3 8 2014 (17 SCOVER kは定数とする。 2次方程式 25x2-35x+4k=0の2つの解が in cos 082 ③83 084 085 HI

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