Grade

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English Senior High

教えて下さると嬉しいです( •̥-•̥ )

A. Circle the correct answer for each question. likely to be jealous of someone. 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people more accustomed to? a. rich a. a feast b. a tree a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it 6. What would profit do for a business? a. excited b. confused 7. Which would people rather be? a. a contract b. a feast 8. Which would you invite friends to share with you? a. a recruit b. a contract 9. Which would you sign? a. being punished b. getting a reward 10. Which would few people enjoy? B. Complete the paragraph with items from the box. Two items are extra. Which of these is a weapon? 4. 5. Which of these flows? discovered resembled establishing rights faced status by Roy's s grief the rest of Many people change countries during their life, but one man has (1) (2) son and (10) heir took over This surprised people in the UK, who believed they had the (5) . Bates and (6) to leave the platform. However, Roy (8). 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, (4) called Sealand. b. poor himself by his own country. During World War II, the UK built a number of artificial platforms made a name for weapons the people on the island (his family), (7) 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. to the platform. orders of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. 11 15 69

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Mathematics Senior High

(2)線を引いたところから分かりません💦 教えてください😭

=) 基本例題 43 対偶を利用した命題の証明 文字はすべて実数とする。 対偶を考えて、次の命題を証明せよ。 (1) x+y=2 ならば「x≧1 またはy≦1」 (2) ²+626 ならば 「la +6/>1 または |a-6|>3」 CHART & SOLUTION 対偶の利用 命題の真偽とその対偶の真偽は一致することを利用 (1) x+y=2 を満たすx,yの組(x, y) は無数にあるから、直接証明することは困難であ る。 そこで,対偶が真であることを証明し,もとの命題も真である, と証明する。 条件 「x≦1またはy≧1」の否定は 「x>1かつy>1」 (2) 対偶が真であることの証明には,次のことを利用するとよい。 A≧0, B≧0 のとき A≦B ならばA'≦B2 (p.118 INFORMATION 参照。) 解答 (1) 与えられた命題の対偶は 「x>1かつy>1」ならば x+y=2 これを証明する。 x>1, y>1 から x+y > 1+1 すなわち x+y >2 よって, x+y=2 であるから, 対偶は真である。 (IN したがって,もとの命題も真である。 員 (2)与えられた命題の対偶は 「|a+b≦1 かつ |a-6≦3」 ならば d² +626 43 これを証明する。 |a+b|≦1,|a-6≦3から (a+b)²≤1², (a−b)² ≤3² (a+b)²+(a−b)² ≤1+9 よって ゆえに よって したがって,もとの命題も真である。 2(a²+6²) ≤10 a²+62≦5 ゆえに, 対偶は真である。 p.76 基本事項 6 r=as+2 POINT 条件の否定条件 p, g の否定を,それぞれ , gで表す。 かかつかまたは g PNQ=PUQ pまたはg かつ PUQ=PnQ ⇒αの対偶は gp <x>a,y>6 ならば x+y>a+b (p.54 不等式の性質) |A|²=A² a+b2≦5 56 から a²+ b² <6 30 79

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Mathematics Senior High

(2)が分かりません💦 学校ではここの解き方ではなく、傾きを使って解いていたんですが理解出来ませんでした😭 傾きを使った方法で教えて頂けませんか?🙇🏻‍♀️🙇🏻‍♀️

補充例題 117 三角比を含む不等式の解法 0°≧0≦180°のとき,次の不等式を満たす0の範囲を求めよ。 √3 (1) cos0> (2) tan 0≥-1 2 CHART & SOLUTION 三角比を含む不等式の解法 まずとおいた方程式を解く √3 まず (1) cos0=- (2) tan01 を解く。 21 次に、下記の座標に注目して、 不等式を満たす 0の範囲を考える。 sin の不等式・ 半径1の半円上の点Pのy座標 半径1の半円上の点Pのx座標 COS の不等式 tan の不等式・ ・直線 x=1 上の点Tのy座標 (2) tan 0 については, 090° であることに注意する。 解答 (1) 図において, coseはPのx座標 √3 であるから, x座標が 2 大きくなる0の範囲を求める。 まず, cosA=- 求めると 0=150° よって, 図から求めるの範囲は √3 2 200°≤0 <150° より を満たす0を (2) 図において, tan 0は直線x=1 上の点Tのy座標で表されるから, 点Tのy座標が-1以上である 日 の範囲を求める。 まず, tan0=1を満たす0を求 めると 0=135° よって, 図から求めるの範囲は 0° 0 90° 135°≦0≦180° P. -1 150° √√3 2 2 10 1 P 0 T P X135° 11 T x AR y 00000 基本112 (1) Pのx座標が 2 より大きくなるのは,P が半円周上で,直線 より右側にあ x=-- 2 る場合。 すなわち母が 0°以上150° より小さい 場合。 (2) Tのy座標が-1以上 になるようなPの存在範 囲を正確に求める。 tan 0 では 090° である から 0° ≤0≤90° と90° に等号をつけない ように注意する。

Solved Answers: 1
English Senior High

教えて下さると嬉しいです(><)

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 more accustomed to? 4. Which of these is a weapon? 5. Which of these flows? a. rich b. poor a. a feast b. a tree a. spending money b. receiving awards b. a rifle b. water b. ruin it b. confused b. a feast b. a contract a. a recruit a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 6. What would profit do for a business? 7. Which would people rather be? 8. Which would you invite friends to share with you? 9. Which would you sign? 10. Which would few people enjoy? discovered resembled establishing rights faced status a. an empire a. an insect a. help it a. excited a. a contract grief the rest of (9) by Roy's son and (10) heir took over Many people change countries during their life, but one man has (1) (2) himself by his own country. During World War II, the UK built a number of artificial platforms 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, (4) one of the platforms and announced he had started his own country, called Sealand. This surprised people in the UK, who believed they had the (5) - Bates and (6) to leave the platform. However, Roy (8). 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. the people on the island (his family), (7) in 11 - 15 69

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English Senior High

教えて下さると嬉しいです(><)(><)

A. Circle the correct answer for each question. likely to be jealous of someone 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people more accustomed to? a. rich a. a feast b. a tree 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? 6. What would profit do for a business? 7. Which would people rather be? 8. Which would you invite friends to share with you? 9. Which would you sign? 10. Which would few people enjoy? discovered resembled establishing rights called Sealand. faced status - Many people change countries during their life, but one man has (1) (2). This surprised people in the Bates and (6) to leave the platform. However, Roy (8). (9) by Roy's son and (10) grief the rest of heir took over 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. poor himself by his own country. During World War II, the UK built a number of artificial platforms made a name for weapons who believed they had the (5) the people on the island (his family), (7) 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. in 11-15

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