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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"円運動の公式"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"ぱりんさん\n\nこんばんは！東京大学理学部物理学科3年の林です。\n\n単振動に関連する公式は複雑ですよね。高校物理の範囲だと、実質的に暗記することが求められていますが、手段がないわけではありません。\nその手段というのは「微分・積分」です。\n理工学部志望ということで、多少は理解されているかもしれませんが、位置を時間で微分すると速度、速度を時間で微分すると加速度になります。数学IIIの発展内容（コラム）として教科書に載っているかもしれません。\n\n単振動の公式 x=Asinωt を時間微分すると dx/dt=ωAcosωt となりこれは速度です。\nさらに時間微分すると d^2x/dt^2=-ω^2Asinωtとなり、これは加速度の式になっています！\n\nこんなふうに、微分積分の考えを用いることで公式の暗記は省略できます。単振動は、初期条件によって三角比の部分がsinだったりcosだったりしますが、そのどちらでも対応可能ですよ。\n\n不明な点があったら、遠慮なく聞いてくださいね！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"公式の覚え方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"結論から申し上げますと、公式を覚えようとする人は失敗します。\n\nもちろん、センターレベルやセンターレベルの試験しか出さない大学なら問題ありません。頑張って覚えてください(覚え方は知りません)\n\nしかし、難関大学を目指したいというのなら、公式というのは、導出ができて初めて使えるものになります。難関大学では、少し捻った問題を出したり、京大のような独特な問題を出したりするような大学もあります。そんな時に導出の仕方を分かっていれば、導出の過程で使われる技術を使ったり、導出の途中の過程を変えることで解くための第一歩に繋がります。\nもちろん、運動方程式や、大学生レベルの数学公式になると覚えるしか仕方ないです。そのような最低限覚えなきゃいけない公式は決まっています。(それは教科書に導出が載ってないはず)たぶんそれだけを覚えるのは簡単な話です。あとの公式は導出を覚えなきゃいけないのですが、\n\n「じゃあ、導出はどうやって覚えるの？」\n\nって思いますよね。導出というのは手順です。手順を覚えるのは頭の中で思い描くことができるので、公式を覚えるよりは楽に覚えられるはずです。何回も導出をして頭の中に導出を叩き込みましょう。「今更そんな基礎をやってられない！」と思ってる人もいるかもしれませんが、応用をやるよりも基礎を完璧に固める方がよっぽど重要だということも覚えておきましょう。当たり前ですが、基礎があってからの応用です。基礎が固められると応用を解く力は以前よりもグッと伸びてるはずです。頑張ってください。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"公式の証明は何をすべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"各分野の導出してほしい公式は\n力学…特になし。むしろ、各式を適切に使えるかが大事。問題演習を積んでください。強いて言うなら単振動の公式の導出ですが、あまり必要ではないです。\n\n熱力学…モル比熱CvとCpの値の導出。熱力学第1法則を理解しているかがポイント\nあと、分子運動論のP=Nmv^2/3Vの導出は絶対に抑えてください。これは出ます。導出までが暗記事項です。\n\n波動…この分野は導出過程が大事です！\n波動方程式の完成形までの導出、ホイヘンスの原理の言葉の説明、干渉、回折格子の式がありますが、特に大事なのが、ドップラー効果の公式の導出です。ドップラー効果は入試問題でも導出を誘導して導く問題が多いです。\n\n電磁気…この分野も公式の導出のオンパレードです！\nI=envsの導出から始まり、フレミングの法則の理解、コイルの自己誘導起電力、そして、交流のインピーダンスの導き方の理解があります。\n\n原子…コンプトン効果とエネルギー準位の導出は必須です。\n\n多いかと思いますが、物理は上記が理解できたら入試問題は正直怖くないですよ。夏を中心に頑張ってください。\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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