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数学 高校生

どう展開したら線部のひとつ前の式から線部の式になるのでしょうか?

360 第6章 微分法 Check 例題 考え方 練習 197 解 Flocus *** 曲線 y=x2 上の点P(α, α²) における法線と, この曲線との交点の うち, 点Pでない方を点Qとする.ただし, α = 0 とする. (2) 点Qの座標を求めよ. (1) 法線の方程式を求めよ. 197 接線に垂直な直線(法線) 接点で接線と垂直に交わる直線を法線と呼ぶ. (詳しくは数学Ⅲで学習) 点P(α, f (a)) における法線の傾きをmとすると, 接線の傾きが f'(a) 0 のとき, JA m·f'(a)=-1 つまり, m=-- 1 f'(a) f'(x)=2x (1) f(x)=x2 とおくと, より, 点Pにおける接線の傾きは, f'(a)=2a したがって,点Pにおける法線の傾きをmとすると, m・2a=-1より, 1 2a (a=0) よって, 点Pにおける法線の方程式は, m=- 2a, (2) 曲線 y=x2 と直線y=- を消去して、x=-2ax+1+1/12 x² = − 12 / 2x + a² + 1/1/2 より, (x-a)(x+a+ 1=0 となる. 1 y-a²=-2 (x-a) 2b, y=-2 / 4x + a² + 1 / 1 D, 2a 2 2/2x+a+1/1/2 の交点は,y +a²+· 1 2a 法線 1 (-a-2a² 4a² SLEI 1 S 注点(a, f(a)) における接線の傾きが0であった場合は, 右の図のように, 接線 y=f(a), 法線: x=α となる. まず,接線の傾きを 考える. (接線の傾き) × ( 法線の傾き) =-1 接線 したがって, x=a, -a- \2 x=-a- a121のとき、y=(-a-12/12)=a+1/+14 点Qのx座標は =x²+ 4a² 1 -a- よって, 点Qの座標は, 2a a²+ | 連立方程式を解いて 交点のx座標を求め る. 左辺に移項して因数 分解 点Pも交点の1つで あるから, x=a も 解になっている. 接線の傾き f'(a)(0) 法線の傾き 法線の傾き fla) f' V₂ (a,f(a)) y=f(a) x=a 曲線 y=x2-2x 上の点P(a, a²-2a) (a≠1) における法線の方程式を求め また、この法線と曲線との交点のうち点Pでない方の点Qの座標を求め よ. → p.361 8 Step I Cマークの問題 1 次 (1 S ←p.340 2 ←p. 341 S 3 ←p. 343 S C S 4 ←p.352 C 5 S ←p.35 c_ S ( ←p. →p. S C

解決済み 回答数: 1
英語 高校生

答えが合っているか添削して欲しいです🙇🏻‍♀️ 1.I(should have drank) so much coffee. Now, I can't sleep. 2. She (may have left) her smartphone at her office,... 続きを読む

Fill in the blanks using a Modal Verb in the box below. [Oct. 17, 2022] May/Might/Must/ Could/Can't/Couldn't / Should/Shouldn't / Ought to / Needn't + have done 1. I ( 2. She ( ) so much coffee. Now, I can't sleep. [drink] ) her smartphone at her office, Or perhaps she left it on the train. [leave] 3. The brand-new bicycle has disappeared – it ( T ( 4. I can't find my glasses. 5. How did she fail that exam again? 6. You ( 7. You ( 8. There is no apple juice left in the fridge. My kids ( 9. Do you think she ( 10. You ( ). [steal] ) them in my car. [leave] She ( ) very much. [study] ) the washing up as was going to do that tomorrow. [do] ) such a terrible thing to her, now she's upset. [say] ) it all. [drink] ) about the appointment? It's 9:30. [forget] ) Luke yesterday. He left Japan six months ago. [see] 11. What isn't John at work yet?" I don't know, he ( 12. My suitcase is too heavy. ) the train. [miss] T( 13. Oh, good! We've got milk. Mom ( 14. The bus arrived one minute after you left, so you ( 15. She ( ) there. Her car keys are still here. [drive] 16. You ( ) such a large house. Your wife would have been quite happy in a smaller house. [buy] 17. I( 18. You ( He's re angry with you. [ask] 19. Do you think you ( It looks quite yellow. 20. The cat has escaped! 21. He ( ) so many things. [pack] ) some yesterday. [buy] ) a cab. [take ) to the cinema, but I decided to stay home. [go] ) his permission before you used his computer. ) too much water to your plant? [add] I( ) the door open by mistake. [leave] ) to the shopping center. It's closed on Sundays. [go]

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英語 高校生

11番から21番まで答えを教えて欲しいです🙇🏻‍♀️

Fill in the blanks using a Modal Verb in the box below. May/Might/Must/Could/Can't/Couldn't/Should/Shouldn't/Ought 1. I ( 2. She ( she left it on the train. [leave] 3. The brand-new bicycle has disappeared - it ( 4. I can't find my glasses. 1( 5. How did she fail that exam again? She ( 6. You ( 18. You ( ) so much coffee. Now, I can't sleep. [drink] ) her smartphone at her office. Or perhaps 19. Do you [Oct. 17, 2022] to/Needn't+have done 7. You ( ) it all. [drink] 8. There is no apple juice left in the fridge. My kids ( 9. Do you think she ( ) about the appointment? It's 9:30. [forget] ) Luke yesterday. He left Japan six months ago. [see] 10. You ( 11. What isn't John at work yet?" I don't know, he ( 12. My suitcase is too heavy. I( ) the train. [miss] 13. Oh, good! We've got milk. Mom ( 14. The bus arrived one minute after you left, so you ( 15. She ( 16. You ( ) such a large house. Your wife would have been quite happy in a smaller house. [buy] 17. 1( ). [steal] ) them in my car. [leave] ) very much. [study] ) the washing up as I was going to do that tomorrow. [do] ) such a terrible thing to her, now she's upset. [say] He's really angry with you. [ask] think you ( It looks quite yellow. 20. The cat has escaped! 21. He ( ) so many things. [pack] ) there. Her car keys are still here. [drive] ) some yesterday. [buy] ) a cab. [take ) to the cinema, but I decided to stay home. [go] ) his permission before you used his computer. [add] I ( ) to the shopping center. ) too much water to your plant? ) the door open by mistake. [leave] It's closed on Sundays. [go]

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