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数学 高校生

数Iの二次不等式の質問です なぜこの方程式がじつ数回をもつ条件を利用して解くのか理解できないです

重要 例題 1222 変数関数の最大・最小 ( 4 ) 000 小値、およ 実数x, y が x2+y2=2を満たすとき,2x+yのとりうる値の最大値と最小値を 求めよ。また,そのときのx, yの値を求めよ。 思い出 203 [類 南山大 ] 基本 101 指針 条件式は文字を減らす方針でいきたいが,条件式x2+y2=2から文 字を減らしても, 2x+yはxyについての1次式であるからうま くいかない。 見方をか そこで, 2x+y=t とおき, tのとりうる値の範囲を調べることで, 最大値と最小値を求める。 →2x+y=t を y=t-2x と変形し,x2+y2=2に代入してyを消 去すると x2+ (t-2x)=2となり,xの2次方程式になる。 xは実数であるから,この方程式が実数解をもつ条件を利用する。 実数解をもつ⇔D≧0 の利用。 CHART 最大・最小 =t とおいて,実数解をもつ条件利用 13 3章 15 2次不等式 2x+y=t とおくと y=t-2x ① 二もに2枚 これをx2+y2=2に代入すると 解答 式は 整理すると x2+(t-2x)=2 5x2-4tx+t2-2=0 k, yth g-s+x)= ONCE + Sy このxについての2次方程式② が実数解をもつための 条件は、②の判別式をDとすると D≧0 参考実数a, b, x, y に ついて,次の不等式が成り 立つ(コーシー・シュワル ツの不等式)。 (ax+by)²=(a+b²) (x² + y²) [等号成立は ay=bx] この不等式に α=2,6=1 。 ここで D=(-2t)2-5(2-2)=-(f2-10) (ハース)を代入することで解くこと できる。 D≧0 から t2-10≤0 >> これを解いて -√10 ≤t≤√√10 す。 -4t 2t t=±√10 のとき, D=0で,②は重解 x=- を のとき,②は t=±√10 2.5 5 5x2+4√10x+8=0 2√10 もつ。=±√10 のとき x=± 5 よって (√5x+2√2) 20 ①から y=± √10 (複号同順) 5 2/10 よって x= y= 5 √10 のとき最大値 10 5 2/10 √√10 x=- y=- のとき最小値10 ①からy=± (複号同順) ゆえに x=± =± 2√2 2/10 √5 5 √10 5 5 5 としてもよい。

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数学 高校生

vision questⅡ English expression hope70ページ preview 1.date&time 2.numbers(sizes,measurements,etc) 3.prices&Phone numbers listening task 1.... 続きを読む

140 // TIT Activity for Communication 3 Preview Listen to the sentences below. 1 Dates & Times Listening for Numbers the on Enio 1. "The movie starts at 5:20. Can you be ready in ten minutes?" "OK. I'll try." 2. "What time is it now?" "It's 11:30." basalaila awohlsw 3. I have an appointment with the dentist this Thursday, the 10th. M 4. "When does school begin?" "It begins on April 8th." 5. Our school was established in 1965. 6. My family has lived in this town since 2005. 2 Numbers (sizes, measurements, etc.) 1. Two thirds of the students come to school by bus. 2. One mile is about 1,609 meters. 3. The city has a population of about 2.5 million. 4. The temperature dropped to 12°C. 5. APA Air Flight 125 for London will be departing from Gate 14 at 10:15. 3 Prices & Phone numbers 1. The price of this bag is $27.89, but you can have it at 10 percent off. 2. What would you do if you won 100 million yen in a lottery? 3. "A hamburger and a cola, please." "That'll be £2.99." 4. I need €20, but I'm €5 short. 5. My phone number is 612-750-5613. Listening Task Listen to the conversations and choose the correct answers. 1. How much of the earth's surface is covered by ocean? 1 more than one third more than one fourth 監督署 ER 70 3 more than two thirds 4 more than two fifths 2. When were the Olympic Games held in Atlanta? 1 in 1966 2 in 1969 3. How much did the dress cost? 1,100 yen 2 1,800 yen 3 in 1996 4 in 1999 S 8,000 yen ③ 13,000 48,800 yen bluros ④ 30,000 about 200,000 4. How many people can the concert hall hold? ① 1,300 ② 3,000 5. How many people live in the city? ①about 2,000 2 about 12,000 3 about 20,000 ① 207-7300 2207-7003 ③ 702-3300 6. What's the phone number of the restaurant? The number is 510- ④ 702-3003

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英語 高校生

vision questⅡ English expression hope70ページ preview 1.dates&time 2.numbers(sizes,measurements,etc) 3.prices&Phone numbers listening task 1... 続きを読む

140 // TIT Activity for Communication 3 Preview Listen to the sentences below. 1 Dates & Times Listening for Numbers the on Enio 1. "The movie starts at 5:20. Can you be ready in ten minutes?" "OK. I'll try." 2. "What time is it now?" "It's 11:30." basalaila awohlsw 3. I have an appointment with the dentist this Thursday, the 10th. M 4. "When does school begin?" "It begins on April 8th." 5. Our school was established in 1965. 6. My family has lived in this town since 2005. 2 Numbers (sizes, measurements, etc.) 1. Two thirds of the students come to school by bus. 2. One mile is about 1,609 meters. 3. The city has a population of about 2.5 million. 4. The temperature dropped to 12°C. 5. APA Air Flight 125 for London will be departing from Gate 14 at 10:15. 3 Prices & Phone numbers 1. The price of this bag is $27.89, but you can have it at 10 percent off. 2. What would you do if you won 100 million yen in a lottery? 3. "A hamburger and a cola, please." "That'll be £2.99." 4. I need €20, but I'm €5 short. 5. My phone number is 612-750-5613. Listening Task Listen to the conversations and choose the correct answers. 1. How much of the earth's surface is covered by ocean? 1 more than one third more than one fourth 監督署 ER 70 3 more than two thirds 4 more than two fifths 2. When were the Olympic Games held in Atlanta? 1 in 1966 2 in 1969 3. How much did the dress cost? 1,100 yen 2 1,800 yen 3 in 1996 4 in 1999 S 8,000 yen ③ 13,000 48,800 yen bluros ④ 30,000 about 200,000 4. How many people can the concert hall hold? ① 1,300 ② 3,000 5. How many people live in the city? ①about 2,000 2 about 12,000 3 about 20,000 ① 207-7300 2207-7003 ③ 702-3300 6. What's the phone number of the restaurant? The number is 510- ④ 702-3003

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英語 高校生

vision questⅡ English expression hope70ページ preview 1.dates&time 2.numbers(sizes,measurements,etc) 3.prices& Phone numbers listening task ... 続きを読む

140 // TIT Activity for Communication 3 Preview Listen to the sentences below. 1 Dates & Times Listening for Numbers the on Enio 1. "The movie starts at 5:20. Can you be ready in ten minutes?" "OK. I'll try." 2. "What time is it now?" "It's 11:30." basalaila awohlsw 3. I have an appointment with the dentist this Thursday, the 10th. M 4. "When does school begin?" "It begins on April 8th." 5. Our school was established in 1965. 6. My family has lived in this town since 2005. 2 Numbers (sizes, measurements, etc.) 1. Two thirds of the students come to school by bus. 2. One mile is about 1,609 meters. 3. The city has a population of about 2.5 million. 4. The temperature dropped to 12°C. 5. APA Air Flight 125 for London will be departing from Gate 14 at 10:15. 3 Prices & Phone numbers 1. The price of this bag is $27.89, but you can have it at 10 percent off. 2. What would you do if you won 100 million yen in a lottery? 3. "A hamburger and a cola, please." "That'll be £2.99." 4. I need €20, but I'm €5 short. 5. My phone number is 612-750-5613. Listening Task Listen to the conversations and choose the correct answers. 1. How much of the earth's surface is covered by ocean? 1 more than one third more than one fourth 監督署 ER 70 3 more than two thirds 4 more than two fifths 2. When were the Olympic Games held in Atlanta? 1 in 1966 2 in 1969 3. How much did the dress cost? 1,100 yen 2 1,800 yen 3 in 1996 4 in 1999 S 8,000 yen ③ 13,000 48,800 yen bluros ④ 30,000 about 200,000 4. How many people can the concert hall hold? ① 1,300 ② 3,000 5. How many people live in the city? ①about 2,000 2 about 12,000 3 about 20,000 ① 207-7300 2207-7003 ③ 702-3300 6. What's the phone number of the restaurant? The number is 510- ④ 702-3003

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英語 高校生

線を引いたところの訳し方を丁寧に教えて頂きたいです🙇‍♀️

L American poet Ralph Waldo Emerson once said, "Every artist was first an amateur." He likely never thought those words would apply to machines. Yet artificial intelligence (AI) has demonstrated a growing talent for creativity, whether writing a heavy-metal rock album or producing an original portrait that is strikingly similar to a Rembrandt. Applying AI to the art world might seem unoriginal; there are, of course, plenty of humans delivering awe-inspiring work. Supporters say, however, the real beauty of training AI to be creative does not lie in the end product-but rather in the technology's potential to expand on its own machine-learning education, and to solve problems by thinking in different ways far faster and better than humans can. For example, creative problem-solving AI could someday make snap decisions that save the lives of the passengers in a self-driving car if its sensors fail. AI with a creative component will be essential in developing highly automated systems that can respond appropriately to human life, says Mark Riedl, an associate professor at Georgia Institute of Technology's School of Interactive Computing. "The fact is, we do lots of little bits of creativity every single day; lots of problem-solving goes on," Riedl says. "If my son gets a toy stuck under the couch, I have to devise a tool from a hanger to get it out." Riedl points out human creativity is also important in human social interactions, even telling a well-timed joke or recognizing a pun. Computers struggle with such subtleties. An incomplete understanding of how humans construct metaphors, for example, was all it took for an experiment in Al-generated literature to compose a new Harry Potter chapter filled with nonsensical sentences such as, "The floor of the castle seemed like a large pile

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