Grade

Type of questions

English Senior High

教えて下さると嬉しいです。。涙

Circle the correct answer for each question. A. likely to be jealous of someone 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people a. rich a. a feast a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it a. excited b. confused a. a contract b. a feast a. a recruit b. a contract a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 4. Which of these is a weapon? 5. Which of these flows? more accustomed to? 6. What would profit do for a business? 7. Which would people rather be? 8. Which would 9. Which would you sign? 10. Which would few people enjoy? discovered resembled you invite friends to share with you? called Sealand. establishing rights faced status grief the rest of Many people change countries during their life, but one man has (1) (2) heir took over (9) by Roy's son and (10) This surprised people in the UK, who believed they had the (5) . Bates and (6) to leave the platform. However, Roy (8) - b. poor in the sea to contain (3) that would be used to fight off invaders. After the war, the soldiers left these platforms and they were forgotten - until 1967. In that year, a British man, Roy Bates, one of the platforms and announced he had started his own country, b. a tree himself by his own country. During World War II, the UK built a number of artificial platforms the people on the island (his family), (7) - - made a name for weapons to the platform. orders In 1968, a court decided that the UK had no power over Sealand. Just like other places with the that the platform was in international waters. of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. im 11 - 15

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Mathematics Senior High

25.2 指針の a-1=0かつb-1=0かつc-1=0 ↔︎(a-1)^2+(b+1)^2+(c+1)^2=0 の理由はこういうこと(赤ペンで書いたところ)ですか? また、記述はこれでも大丈夫ですか??

③の左辺は、 (x-y-z 々を加えて まず、結論を式で表すことを考えると,次のようになる。 (1)a,b,cのうち少なくとも1つは1である ⇔a=1 または b=1 またはc=1 式が得られる 循環形の り、引いた しやすくなる ■3:2 解答 3²+2¹+4 算することも =0⇒al 60m 例題25 29214 b,c は実数とする。 abc=1,a+b+c=ab+bc+caのとき, a,b,cのうち少なくとも1つは1 であることを証明せよ。 LOR$HOV.x.J a+b+c=ab+bc+ca=3のとき,a,b,cはすべて1であることを証明せよ。 (1) 20 CHART 証明の問題 結論からお迎えに行く -2+24+HP=(a-1)(b-1)(c-1) とすると 可能性がある a+b+c のとき、 all 少なくとも~, すべての〜の証明 ⇔a-1=0 または 6-1=0 または c-1=0 ⇔ (a-1)(b-1)(c-1)=0 (2) a,b,cはすべて1である⇔a=1 かつ6=1 かつc=1,2 ⇔a-1=0 かつ 6-1=0 かつc-1=0 ⇔(a-1)+(6-1)'+(c-1)=0 よって, 条件式から,これらの式を導くことを考える。 このように, 結論から方針を立て ることは、証明に限らず、多くの場面で有効な考え方である。 P=abc-(ab+bc+ca)+(a+b+c)-1 abc=1とa+b+c=ab+bc+ca を代入すると P=1-(a+b+c)+(a+b+c)-1=0 よって α-1=0 または 6-1 = 0 または c-1=0 したがって, a,b,cのうち少なくとも1つは1である。 Q=(a-1)+(b-1)'+(c-1)' とすると Q=a²+62+c²-2(a+b+c)+3 ここで,(a+b+c)=a+b2+c2+2(ab+bc+ca) であるから a2+62+c²=(a+b+c)²-2(ab+bc+ca)=32-2・3=3 ゆえに Q=3-2・3+3=0 よって α-1=0 かつ 6-1 = 0 かつ c-1=0 したがって, a, b c はすべて1である。 練習 a,b,c, d は実数とする。 25 1 1 (1) + + a b ことを証明せよ。 C = a+b+c fb H f d H f d ) 2 RESID tsutux ABC = 0 ⇔A = 0 または B = 0 または C=0 +d+o (1) Vio A²+B2+ C²=0 ⇒ A=B=C=0 CASAS) SI TATH Fan+ 2) - (1) Eln のとき, a,b,cのうち、どれか2つの和は0である ==c=d=1であることを証明 1章 5 等式の証明

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