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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"証明や導出がすごい気になってしまう"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"三味線さん、はじめまして。\n\nお気持ちはすごく分かります。\nたしかに解答の細かいところに疑問を持ったり、その都度公式を導出していると参考書の進むペースは遅くなってしまいますが、その分、質は高くなると思うので全然良いことだと思いますし、むしろそうするべきだと思います。\n\nよく言われる「数学は理解」という言葉は、なぜその公式を使ったのか、なぜその解法で解くのか、なぜその変換を行うのか、もっと細かいことで言うと、なぜその順に解答を記述するのかといったことを理解することです。\n\n「数学は暗記」という言葉もたまに聞きますが、これは単純に英単語みたいに暗記すると言うことではなくて、どうしてこの解法を使うのかを理解した上でどうゆう問題が出たらどの解法を使うのかを暗記すると言うことです。\n仮に理解の過程を飛ばして暗記だけすると、少し問題の形が変わっただけで解法が思い浮かばないということになってしまいます。\n\nそして理解を深めるためには、三味線さんのように細かいところにも疑問を持って問題を解くのが一番の近道です。公式は導出ができる方が理解度ははるかに上がりますし、たまにある公式の導出に基づいた問題なんかも出題されることもあります。\nまた質問文中のことで触れると、なぜ置換積分はこうゆう形でするのか、一次独立とは何か、解答に使われている言葉の意図、こういったことに疑問をもって考えるのはとても良いことだと思います。確認しても忘れてしまうのは人間なので仕方ないことで、確認してその時に理解したことをノートなんかに纏めておきましょう。次に同じような疑問が出た時にノートを見返すことで少しずつ定着して力になっていくはずです。\n私の場合だと2.3回では定着せず、5回とか10回その都度見返すことで定着し始めた感じだったので、忘れているから力になっていないと焦らずに、自分のペースで頑張ってください！\n\n応援しています☺️\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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mb-1","children":"問題となっている現象を鮮明にイメージできていますでしょうか？物理と数学の一番の違いは「問題の対象が現実世界における具体的イメージを持つかどうか」です。問題を見て、使う公式を選んで、式をいじって答えを出すだけだと、どうしても本質部分が理解できず応用問題には手が出せなくなってきます。\n例えば「2つの質量が同じ物体が弾性衝突する問題」はどう考えますか？多分「運動量保存」と「弾性係数の式」を連立して解くと思います。ただこれは鮮明なイメージが持てると「衝突前後で速度が交換される」ということが計算せずともわかってきます。このようにただ数式を無我夢中にいじるだけではなく、数式を使わずともわかるようなことは物理では多くあります。そのようなイメージが持てれば、実際に計算してみた結果がイメージと大きく異なる場合、計算ミスを自分で発見できる可能性があったり、計算が面倒くさい問題(例えば大まかな粒子の軌道を示す図を選べといった問題)を計算することなく正解を選べたりします。したがってただ数式にこだわるのではなく、今考えている問題ではどのような現象が起きているのかじっくり考えつつ演習してみてください。焦らずやっていくことが重要です。\n一方で、数式をおろそかにして良いというわけではありません。特に公式は暗記するだけでなく、導出過程も理解しましょう。導出過程には物理現象として重要なポイントがたくさん詰まっています。ここを理解することで、先述した鮮明なイメージを描きやすくなります。\n例えば、波動分野での反射の法則の導出過程はご存知でしょうか？ホイヘンスの原理というものから導出します。過去の大学入試では、このホイヘンスの原理からの導出を題材にしたものも出題されています。\nとにもかくにも焦らず基本をじっくり固めていくことが重要でしょう。\n参考書ですが河合塾の「物理のエッセンス」などはいかがでしょうか？自分が使っていたのはもう何年も前なので詳細は覚えていませんが、かなり公式の説明が詳しく載っており、物理の正しいイメージが掴みやすかった記憶があります。ただ記憶違いかもしれませんし、参考書は人によって好みがはっきりと分かれるため、ぜひ本屋で実際に手に取って確認してください。\n稚拙な長文、失礼いたしました。"}],["$","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":"公式について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして！早稲田創造理工学部のものです。\n私が思うに、今の時期に無理して公式を根底から理解する必要はないと思います。しかし、公式の証明のような問題はでることもおおいので今はじっくり問題を解いて、公式を自在に使えるようになってから成り立ちなどを考えればじゅうぶん間に合うと思います！！"}],["$","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 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"公式の証明について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！回答させていただきます。\n\n公式の証明を覚えているとどう役に立つかということですが、正直、受験に合格するという観点では公式の証明問題が解ける以上のメリットはあまりないです！\n公式の証明では、受験数学のセオリーからみれば特殊な考え方を使うものが多く、考え方が他の問題に役立つ事も少ないのです。\n数学という学問を修める意味では、公式の証明を理解していることは重要だと思いますが。\n\nしかし、本番で公式の証明問題が解けるという一点だけで、覚える理由としては十分ではないでしょうか？\n実際の入試でそういった問題が出ているわけですし。4完を狙うなら公式の証明問題は落とせませんしね！\n\n余談ですが、三角関数の和積の公式とか、ベクトルの内積を使った三角形の面積の公式とかを、もし暗記せずにテスト中に導こうと思ってるなら、それはダメですよ！時間がもったいないですから。これはマジです！\n\n長文失礼しました。頑張ってくださいね！\n\n\n\n\n"}],["$","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",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 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