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数学 高校生

二次関数の問題です ラインを引いているところで、なぜこのようにxを置き換えるかが分かりません💦(x+aだと思いました…) 至急よろしくお願いいたします💦

EXER 2次関数 y=6x"+1lx-10 のグラフをx軸方向にa, y軸方向にbだけ平行移動し 114一数学I 13] 3Sr のとき rー=r-1, r-3/=r-3 であるから, 参考 y=2(r-1)+3(x-3) =5.r-11 この関数は x= よって、この関数のグラフは右の図 の実線部分 である。 が ○グラフから判 0|1A3 したがって、この関数は x=3 のとき 最小値4をとる。 い か も 91 られるグラフをFとする。Fが原点 (0, 0) を通るとき,次の問いに答え上 (1) bをaで表せ。 Fを表す2次関数(x) が x=-2 と x=3 で同じ値をとるときのaの値と における/(x)の最大値·最小値を求めよ。 こ 【類センター (1) y=6x°+11.r-10 のxをxーa, yを y-b でおき換えて ソーカ=6(r-a)+11(xーa)-10 … ① のが下を表す2次関数で,Fが原点 (0, 0) を通るとき 0-6=6(0-a)+11(0-a)-10 軸 Oyーb=f(x-a) こ 量 ゆえに b=-6a°+11a+10 (2) (1)の結果と①から yー(-6a°+11a+10)=6(x-a)°+11(x-a)-10 整理すると ソ=6x°-12ax+6a'+11x-11a-10-6a°+11a+10 =6x°+(11-12a)x EXE したがって f(x)=6x°+(11-12a)x 条件より,f(-2)=f(3) であるから 6-(-2)°+(11-12a)·(-2)=6·3°+(11-12a)·3 24a+2=-36a+87 ゆえに 点 85 17 a= 60 よって 12 (*)から,y=f(x) の↑ このとき,2から f(x)=6x?-6x=6(x?-x) ラフの軸は直線』=; で、これは範囲 -2<x<3 の中央にあ x+ る。 A y=6r-6 したがって, -2ハ×ハ3 において, f(x) は |36 x=-2, 3 で最大値 36; xーー で最小値 - 3 をとる。 2 2 -2 0| SNOW

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英語 高校生

模範解答がなくて困ってます(^^;) 助けてください!!! UNICORN English Expression1の110〜117です

>LESSON 6 EXERCISES A Choose the correct words. 1. My grandfather usually ( eats/ is eating ) rice for breakfast, but this morning he ( eats / is eating ) bread. 2. It( snows / is snowing / will be snowing ) by the time we arrive at the village. 3. What were you ( did / doing ) when I called you? 4.1( didn't hear / wasn't hearing ) the bell because I was ( listened to / listening to ) music with my earphones. 5. Everyone ( knows / is knowing ) the news. 6. This fish ( smells / is smelling ) bad. EXERCISES n A Follow the example and rewrite the sentences. ex. She is a good tennis player. (You) You are a good tennis player. nod ed sH 1. They usually watch TV in the living room. (He) 2. Two students are absent today. (last Friday) 7. I didn't answer your phone call because I ( took / was taking ) a bath. 8. My aunt is always ( complains / complaining ) about her job. 3. Every night the girl reads a book before she goes to bed. (Last night) hcar B Put the sentences into Japanese. 1. Our school festival is taking place next week. 2.I was reading comic books all the time when I was a boy. B Complete the sentences. 1.“Your racket is too old, isn't it?" Vet O d1O “Yes. I( ) going ( ) buy a new one this weekend.” 3. We are moving to Kyushu next month. 4. A duck is dying near the river. 5. She was studying English all day yesterday. (買いに行くつもり) ) do this afternoon, Emily?” (するつもり) top co 2.“what( “I think I ( 3.“When ( ) going ( ) go to the beach by bike." ) school( ) in your country?" (始まる) C Change the verbs into the correct form. 1. Look! The sun ( rise ) above the horizon. 2. My dog ( lie ) on the floor when I came home. 3.I( have ) supper when he called on me. 4.I ( belong ) to the music club in my junior high school days. 5. My sister ( play ) the piano now, but she ( not like ) playing the piano. “It( ) in April.” C Choose the correct words. 1.(Are / Do/ will ) you know about the accident? 2. Ken was afraid that it ( is / was going to / will be ) rain in the afternoon. 3. If it ( rains / rain / will rain ) tomorrow, the game will be postponed. 6. They ( take ) the exam at this time tomorrow. 4. Here ( comes / come / coming ) the sun. D Put the words in the correct order. 1.昨晩は10時前に寝ました。 I went ( bed / before / last / night / ten / to ). 2.数分で戻ります。 I(a/back / be / few / in / minutes / will ). 3. あとで電話をするって約束するよ. I(I/phone / promise / will / you ) later. ean E Answer the questions. 1. What do you usually do in the morning? 2. what did you do yesterday evening? 3. What are you going to do this weekend? 2 LANGUAGE FOCUS 6-

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