x²+y²=16のとき6x+y²の、最大値と最小値を求めるものなのですが、線を引いたところの関係性が分かりません！ わかる方教えていただけないでしょうか？

2 (1) x² + y² = 16 4² = 16-x² 6x+y2 またy≧0であるから16-ズ≧0.よってXC-16:0 (x-4)(x+4)=0 →このとき 6x + y² = 6x +116-X²³) = -x ² + 6x + 16 = -{(x-3)-93 +16 =(x-3)+25 (4≦X≦) よって6対はた3のとき最大値25x-4のとき最小値-24をとる -1-71²=49+25=24 y=16-²であるから x=3のときy=7最大値25 x=-4, y=0で最小値-24

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基本例題11 ヘスの法則 炭素 (黒鉛) および一酸化炭素の燃焼熱は,394kJ/mol, 283kJ/molである。 次の熱化学 方程式の反応熱Qの値を求めよ。 C(黒鉛) +CO2=2CO+QkJ 考え方 各反応熱を熱化学方 程式で表し, 求める 熱化学方程式中に存 在する物質が残るよ うに組み合わせる。 解答 それぞれの反応熱を熱化学方程式で表す。 C(黒鉛)+O2=CO2+394kJ CO+O2=CO2 +283kJ +1/12/02 ‥.① SIDH=(19++ (2) H ①②×2 から C(黒鉛)+CO2=2CO-172kJ U したがって, -172kJとなる。 列車 "mmu (1

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24 25 26 27 A: This room looks a lot larger than before, doesn't it? B: I just ( ) ( )))( (7) I (I) need (ア) (エ) A: How long will it take ( B: It'll take three days, sir. (7) to (1) the size (1)-(3) A: When ( B: Just a few months ago. (7) upgrade (1) a system Þ(*)-(1) (7) as (1) the day (1)-() (1) that (*) everything (1)-(7) A: Can we set ( )( B: How about starting at four? 2 (1)-(1) ))( )( (1) adjusted (+) have (1) did (*) was 2 (1)-() (1) in (+) for ))( 2 (3)-() ))( )( )( ))( () didn't () threw out 3 (1)-(3) 3 (1)-(1) (¹) of (h) this suit )( )( 3 (A)-(+) () the last time (h) you ))( () our meeting (h) as late (エ)-(カ) ). ∞ (*)-(H) ➜ (ħ) − (1) )? )( __)? ➡ (#)-(★) ) possible? (4)-(H)

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ⅡI. 次の 17 17 18 19 20 21 22 23 から一つずつ選びなさい。 Her ( 23 の各英文の空欄に入る最も適切なものを,それぞれの中 today presentation 3 presentation today The new ATM is easier for ( ) left nothing to be desired. visual impairing 3 visually impairing killing 3 for which dies ones Food contamination is a serious problem in the U.S., ( year. given The 21st century has ( The results of the experiment were greatly different from ( expected. + because 3 is that ) people to use. 2 that presentation's today today of presentation making to oblige 3 obliged to make visual impaired visually impaired 2 seen 2 with killing 4 the death of 3 which One of the main causes of the declining birthrate in Japan ( chosen to remain unmarried. ) about 5,000 people every 3 resulted ) the rise of various new business models. ) the researchers had 2 is the reason 4 so that 4 what Some workers just seem to follow orders and become confused when ( decisions. 4 appeared ) more people have making obliged to obliging to make ) their own

上の問題は左右対称が3通り、下の問題が60通りの理由を教えて下さい。

白玉1個, 赤玉2個、青玉4個でブレスレットを作るとき, 作る方法は何通りあるか。。。 [12 [2006 信州大] 白玉1個、赤玉2個、青玉4個、黄玉6個がある。これらすべてを糸でつないで, すきまのないネッ クレスを作る。 ネックレスの種類の総数を求めよ。 ただし, 回転または裏返すことにより一致するも のは同種類とみなす。

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(1) Two people are talking about their plans for the weekend. Michael: Is there anything I should bring for our camping trip this weekend? I'm afraid I don't have much by way of equipment, though. Yuko: That's right. You said you'd never been camping before, didn't you? Michael: No, I didn't. 32 I don't have any equipment because I left it all at my parents' house. Yuko: Oh, I'm sorry. I remember now. It was Nick. I get you two mixed up sometimes. Michael: Don't worry about it. Anyway, do you and Erika have everything? If not, I can run mall tomorrow between classes. It's only a 10-minute drive. Yuko: Well, I have a tent and a stove. Erika said she had an extra sleeping bag, and betwee her and Nick we have the kitchen utensils covered. the

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ⅢI. 次の 24 24 25 27 26 ~ 27 の各対話の空欄に下記の(ア)~ (カ) の語(句) を並べ換えて入れ、英文を に入る語(句) の組み合わせとして最も適切なものを. の前後 完成させなさい｡ ただし、 答えは(__ それぞれ の順番とする。 A: This room looks a lot larger than before, doesn't it? B: I just ( (ア) I (I) need (7)-(H) A: How long will it take ( B: It'll take three days, sir. (7) to (エ) the size (1)-(3) の中から一つずつ選びなさい。 組み合わせは英文中の A : When ( B: Just a few months ago. (7) upgrade (1) a system (ウ)(イ) (7) as (エ) the day (イ) (カ) (イ) that (オ) everything (1)-(7) 2 (1)-(1) ))( A : Can we set ( )( B: How about starting at four? ) ( (イ) adjusted (オ) have (イ) did (オ)was (ウ)(カ (イ) in (オ) for 3 (1)-(3) )()( )( (ウ) (カ) ))( (ウ) didn't (カ) threw out )()( )()( (ウ) of (カ) this suit 3 (1)-(1) )( 3D(カー(ウ) ))( (ウ) the last time (カ) you (ウ) our meeting (カ) as late ). (エ)-(カ) &(4)-(I) )? (*)-(H) ) ___________)? (カー (オ) ) possible? (カ)-(エ)

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ⅡIⅠ. 次の 17 17 18 19 20 21 22 23 から一つずつ選びなさい。 Her ( 23 の各英文の空欄に入る最も適切なものを、 それぞれ~ の中 today presentation presentation today The new ATM is easier for ( visual impairing visually impairing ) left nothing to be desired. killing 3 for which dies ones + given Food contamination is a serious problem in the U.S., ( year. The 21st century has ( 3D is that The results of the experiment were greatly different from ( expected. because 2 that 2 presentation's today 4 today of presentation ) people to use. 2 2 seen making to oblige 3 obliged to make visual impaired visually impaired with killing 4 the death of which One of the main causes of the declining birthrate in Japan ( chosen to remain unmarried. ) about 5,000 people every 3 resulted ) the rise of various new business models. ) the researchers had 2 is the reason so that 4 what Some workers just seem to follow orders and become confused when ( decisions. 4 appeared ) more people have making obliged to obliging to make ) their own

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I 次の英文の空所に入れるのに最も適当な語句を, アークから選べ。 ただし, 同じ ものを繰り返し用いてはならない。 For people who would like to act in the theater, there are several important rules to remember. One rule, often forgotten, is to make sure you (7) your audience when you are on stage. If you turn away from the audience, they cannot see your facial expressions. Next, make sure that you speak ( 8 ) enough. If your audience has difficulty hearing you, they will quickly lose interest. Another important point is to (9) your lines. Rehearse them often-on the train, in the mirror, while you are walking to class-( 10 ) you remember them. Finally, perhaps the most important rule of all is to remain calm on stage if you forget your lines. Don't panic and stop speaking ( 11 ) the audience will notice. Instead, make up something to say until you remember your next line. As long as you continue speaking and appear relaxed, the audience will probably not realize that you have made a mistake. In conclusion, following these rules will (12) ensure a successful stage performance. 7. because 1. face t. memorize A. so that . help *. unclearly I. loudly 7. when

この問題なのですが、〔2で、n郡の初項は2n2乗−4n＋3で、末項は8n2乗−8n+1で、和を求めたのですが、解答は末項2n2乗−1となっていてよくわからないです。教えて下さい

一般項が α=2k-1 である数列を,次のような群に分ける。 ただし,第 n群が含む項の個数は (2n-1) 個である。 13, 5, 79, 11, 13, 15, 17 19, 21, 23, 25, 27, 29, 31 33, 35, 37, (1) 第群の初項をnの式で表せ。 (2) 第群の項の総和 S(n) をnの式で表せ。 (3) 2013は第何群の第何項か。