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数学 高校生

この問題についてですが、この解き方以外の方法とかってあったりしますか??どなたか別の面白い解答をしてくださる方いれば教えて頂きたいです。

84 ONGER. EEPRO 重要 例題 48 2次方程式の解と係数の関係と式の値 | 2次方程式x-mx+p=0の2つの解をα, β とし, 2次方程式xmxq= の2つの解をx, 8 (デルタと読む) とする。 (1) (y-a)(y-B) を p, g を用いて表せ。 (2),gがxの2次方程式x²ー(2n+1)x+n²+n-1=0の解であるとき, 基本 39.44 (x-a)(y-B) (8-α) (8-β) の値を求めよ。 解答 針解と係数に関係した問題では,次の3つ(互いに同値) を使い分けることが重要。 11 2次方程式 ax2+bx+c=0の2つの解がα, B b [2] α+β=- aß= a [3] ax²+bx+c=a(x-a)(x-3) (1) (y-a)(y-β) の式を導きたいから,x-mx+b=(x-a)(x-β)であることを利 用して考える。 (2)同様に (8-α) (8-B) をp, gで表し, 解と係数の関係を利用。 USOTHO (1) α,β は x 2-mx+p=0の2つの解であるから (11 x2-mx+p=(x-a)(x-β) 3-√23 2 45+²x²\£(1. ****** 補羽 (1) この等式の両辺にx=y を代入して y²-my+p=(y-a)(y-B) また,yはx2-mx+g=0の解であるから a ゆえに よって よって 4 y²-my=-q ##$^_P+vS+FORED Jel ①に代入して (r-a)(y-B)=b-g-my を消去。 (2) 8もx-mx+g=0の解であるから, (1) と同様にして (8-α) (8-β)=p-g 51+ 5TH) (r-a)(r-B)(8-a)(8-B)=(p-q)² (1-v)8- ここで, pg は x 2-(2n+1)x+n²+n-1=0の解であ るから、解と係数の関係により p+g=2n+1, ...... _r²-my+q=0UASIO FOUN =5 指針_ の方針 解の対称式の値では、こ の方針が役立つこともあ る。 =(2n+1)²-4(n²+n−1) Styx dost pg=n²+n-1){ (s+v-) 指針の② を利用。 (p−q)²=(p+q)²-4pq (1-vS+x) (S−2+◄(p-q)²=p²-2pa+d (r-a)(r-B)(8-a)(8-ß)=5 1-² = (1) のyを6におき換え るだけでまったく ことがいえる。 = (p²+2pq+q²)-4p = (p+q)²-4pq このとき,

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英語 高校生

これの100字要約日本語でしていただけませんか?

5 19 A concerted drive to reduce obesity in one Australian town resulted in a whole generation of slimmer, faster, and healthier children, researchers reported yesterday. They said that the program, a simple mixture of persuasion and (A)incentives, was astonishingly successful. It led to 2,000 children gaining less weight, watching far less television, taze (and playing more sports. The "Be Active, Eat Well" project, conducted by Deakin University in the small town of Colac, 150 km southwest of Melbourne, ended with Colac's children weighing an average of one kilogram less than the norm for Australian children of their age. Their waistlines were an ウェスト average of cm smaller - 2 cm for boys and 4 cm for girls. Professor Boyd Swinburn from Deakin University in Melbourne said yesterday that the Colac experiment had proved to be "astonishingly successful." It was the first such program in the world to report significant reductions in waistline and weight. Professor Swinburn said: "Most people would think individual weight loss of one kilogram is not much, but here we're talking about shifting the weight of a couple of thousand kids, and 15 that's actually quite (B) phenomenal. In fact, across a population, that is absolutely huge." The experiment began three years ago when the university researchers descended on Colac's population of about 10,000 people, urging parents, teachers, doctors, and local fast-food outlets to support changes for all children aged between 4 and 12. The program included opening up more after-school activity centers for children and introducing 20 brightly colored lunch packs that contained a pitta salad wrap*¹ and fruit tub2. Parents were encouraged to (c) monitor strictly the amount of time their children watched television or walk or cycle to They were asked to encourage their children spent on computers. (3) school rather than drive them. While the researchers had hoped to cut television viewing by 10 percent, the final results 25 reported children's television viewing had dropped by 21 percent and soft drink consumption by 70 percent. There was an increase of almost 70 percent in the number of children participating in after-school sports. 10 7. ★★★ 参照チェックノート p.38 414 words 56 早稲田大学 Even the town's fish and chip shop owner switched from using animal fats to sunflower oil. He reduced the saturated fats3 in chips from 49 percent to 9.1 percent. The other fast-food outlets 30 also switched from animal fats, leading to a cut in saturated fats consumed in the town of 55 kg a week. Adults then began to follow their children's example, and the local self-defense academy went from 16 members to 75. pitta satu 1 (A (

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